高中数学术语(中英文)

合集下载

数学中英名词对照表

数学中英名词对照表以下是一些常见的数学中英名词对照表：1.数学(Mathematics):2.代数(Algebra):•代数方程(Algebraic equation)•多项式(Polynomial)•因子(Factor)•等式(Equation)•变量(Variable)•系数(Coefficient)3.几何(Geometry):•图形(Figure)•角度(Angle)•直线(Line)•圆(Circle)•面积(Area)•体积(Volume)•对称(Symmetry)4.统计学(Statistics):•数据(Data)•平均数(Mean)•中位数(Median)•众数(Mode)•标准差(Standard deviation)•概率(Probability)•抽样(Sampling)5.微积分(Calculus):•导数(Derivative)•积分(Integration)•极限(Limit)•微分方程(Differential equation)•曲线(Curve)•点斜式(Point-slope form)6.线性代数(Linear Algebra):•矩阵(Matrix)•行列式(Determinant)•向量(Vector)•特征值(Eigenvalue)•线性方程组(System of linear equations)•范数(Norm)7.数论(Number Theory):•质数(Prime number)•最大公约数(Greatest common divisor, GCD)•最小公倍数(Least common multiple, LCM)•同余(Congruence)•素因数分解(Prime factorization)8.逻辑学(Logic):•命题(Proposition)•范式(Normal form)•谓词(Predicate)•推理(Inference)•命题逻辑(Propositional logic)•谓词逻辑(Predicate logic)这只是数学中的一小部分术语对照表，数学领域非常广泛，涵盖了许多分支和专业术语。

数学术语中英对照

数学术语中英对照代数ALGEBRA1. 数论natural number 自然数positive number 正数negative number 负数odd integer, oddnumber 奇数even integer, even number 偶数integer, whole number 整数positivewhole number 正整数negative whole number 负整数consecutive number 连续整数realnumber, rational number 实数,有理数irrational（number）无理数inverse 倒数compositenumber 合数e.g. 4,6,8,9,10,12,14,15… prime number 质数e.g.2,3,5,7,11,13,15…reciprocal 倒数common divisor 公约数multiple 倍数(minimum) common multiple (最小)公倍数(prime) factor (质)因子common factor 公因子ordinary scale, decimalscale 十进制nonnegative 非负的tens 十位units 个位mode 众数mean平均数median中值commonratio 公比2. 基本数学概念arithmetic mean 算术平均值weighted average 加权平均值geometric mean 几何平均数exponent指数，幂base 乘幂的底数,底边cube 立方数，立方体square root 平方根cube root 立方根common logarithm常用对数digit 数字constant 常数variable 变量inverse function 反函数complementaryfunction 余函数linear 一次的，线性的factorization 因式分解absolute value 绝对值，e.g.｜-32｜=32 round off 四舍五入数学3. 基本运算add，plus 加subtract 减difference 差multiply, times 乘product 积divide 除divisible 可被整除的divided evenly 被整除dividend 被除数，红利divisor 因子，除数，公约数quotient 商remainder 余数factorial 阶乘power 乘方radical sign, root sign 根号round to 四舍五入to the nearest 四舍五入4. 代数式，方程，不等式algebraic term 代数项like terms, similar terms 同类项numerical coefficient 数字系数literal coefficient 字母系数inequality 不等式triangle inequality三角不等式range 值域original equation 原方程equivalent equation 同解方程，等价方程linear equation 线性方程(e.g.5x+6=22)5. 分数，小数proper fraction 真分数improper fraction 假分数mixed number 带分数vulgarfraction，common fraction 普通分数simple fraction 简分数complex fraction 繁分数numerator 分子denominator 分母(least) common denominator （最小）公分母quarter四分之一decimal fraction 纯小数infinite decimal 无穷小数recurring decimal 循环小数tenths unit 十分位6.集合union 并集proper subset 真子集solution set 解集7. 数列arithmetic progression(sequence) 等差数列geometric progression(sequence) 等比数列8. 其它approximate 近似(anti)clockwise (逆) 顺时针方向cardinal 基数ordinal 序数directproportion 正比distinct 不同的estimation 估计，近似parentheses 括号proportion 比例permutation 排列combination 组合table 表格trigonometric function 三角函数unit 单位,位几何GEOMETRY1. 角alternate angle 内错角corresponding angle 同位角vertical angle 对顶角central angle圆心角interior angle 内角exterior angle 外角supplementary angles 补角complementaryangle 余角adjacent angle 邻角acute angle 锐角obtuse angle 钝角right angle 直角round angle 周角straight angle 平角included angle 夹角2. 三角形equilateral triangle 等边三角形scalene triangle 不等边三角形isosceles triangle 等腰三角形right triangle 直角三角形oblique 斜三角形inscribed triangle 内接三角形3. 收敛的平面图形，除三角形外semicircle 半圆concentric circles 同心圆quadrilateral 四边形pentagon 五边形hexagon六边形heptagon 七边形octagon 八边形nonagon 九边形decagon 十边形polygon 多边形parallelogram 平行四边形equilateral 等边形plane 平面square 正方形，平方rectangle 长方形regular polygon 正多边形rhombus 菱形trapezoid 梯形4. 其它平面图形arc 弧line, straight line 直线line segment 线段parallel lines 平行线segment of acircle 弧形5. 立体图形cube 立方体，立方数rectangular solid 长方体regular solid/regular polyhedron正多面体circular cylinder 圆柱体cone 圆锥sphere 球体solid 立体的6. 图形的附属概念plane geometry 平面几何trigonometry 三角学bisect 平分circumscribe 外切inscribe内切intersect 相交perpendicular 垂直Pythagorean theorem 勾股定理（毕达哥拉斯定理）congruent全等的multilateral 多边的altitude 高depth 深度side 边长circumference, perimeter周长radian 弧度surface area 表面积volume 体积arm 直角三角形的股cross section 横截面center of a circle 圆心chord 弦diameter 直径radius 半径angle bisector 角平分线diagonal 对角线化edge 棱face of a solid 立体的面hypotenuse 斜边included side 夹边leg三角形的直角边median（三角形的）中线base 底边，底数（e.g. 2的5次方，2就是底数）opposite 直角三角形中的对边midpoint 中点endpoint 端点vertex (复数形式vertices)顶点tangent 切线的transversal 截线intercept 截距7. 坐标coordinate system 坐标系rectangular coordinate 直角坐标系origin 原点abscissa 横坐标ordinate 纵坐标number line 数轴quadrant 象限slope 斜率complex plane 复平面。

高等数学名词（中英文）

高等数学名词（中英文）高等数学名词(中英文)第一章函数与极限Chapter1 Function and Limit 集合set元素element子集subset空集empty set并集union交集intersection差集difference of set基本集basic set补集complement set直积direct product笛卡儿积Cartesian product开区间open interval闭区间closed interval半开区间half open interval有限区间finite interval区间的长度length of an interval无限区间infinite interval领域neighborhood领域的中心centre of a neighborhood 领域的半径radius of a neighborhood 左领域left neighborhood右领域right neighborhood映射mappingX到Y的映射mapping of X ontoY 满射surjection单射injection一一映射one-to-one mapping双射bijection算子operator变化transformation函数function逆映射inverse mapping复合映射composite mapping自变量independent variable 因变量dependent variable定义域domain函数值value of function函数关系function relation值域range自然定义域natural domain单值函数single valued function多值函数multiple valued function单值分支one-valued branch函数图形graph of a function绝对值函数absolute value符号函数sigh function整数部分integral part阶梯曲线step curve当且仅当if and only if(iff)分段函数piecewise function上界upper bound下界lower bound有界boundedness无界unbounded函数的单调性monotonicity of a function 单调增加的increasing单调减少的decreasing单调函数monotone function函数的奇偶性parity(odevity) of a function 对称symmetry偶函数even function奇函数odd function函数的周期性periodicity of a function周期period反函数inverse function直接函数direct function复合函数composite function中间变量intermediate variable函数的运算operation of function基本初等函数basic elementary function 初等函数elementary function幂函数power function指数函数exponential function对数函数logarithmic function三角函数trigonometric function反三角函数inverse trigonometric function 常数函数constant function双曲函数hyperbolic function双曲正弦hyperbolic sine双曲余弦hyperbolic cosine双曲正切hyperbolic tangent反双曲正弦inverse hyperbolic sine反双曲余弦inverse hyperbolic cosine反双曲正切inverse hyperbolic tangent极限limit数列sequence of number收敛convergence收敛于a converge to a发散divergent极限的唯一性uniqueness of limits收敛数列的有界性boundedness of a convergent sequence子列subsequence函数的极限limits of functions函数当x趋于x0时的极限limit of functions as x approaches x0左极限left limit右极限right limit单侧极限one-sided limits水平渐近线horizontal asymptote无穷小infinitesimal无穷大infinity铅直渐近线vertical asymptote夹逼准则squeeze rule单调数列monotonic sequence高阶无穷小infinitesimal of higher order低阶无穷小infinitesimal of lower order同阶无穷小infinitesimal of the same order等阶无穷小equivalent infinitesimal 函数的连续性continuity of a function增量increment函数在x0连续the function is continuous at x0左连续left continuous右连续right continuous区间上的连续函数continuous function函数在该区间上连续function is continuous on an interval不连续点discontinuity point第一类间断点discontinuity point of the first kind第二类间断点discontinuity point of the second kind初等函数的连续性continuity of the elementary functions定义区间defined interval最大值global maximum value (absolute maximum)最小值global minimum value (absolute minimum)零点定理the zero point theorem介值定理intermediate value theorem第二章导数与微分Chapter2 Derivative and Differential速度velocity匀速运动uniform motion平均速度average velocity瞬时速度instantaneous velocity圆的切线tangent line of a circle切线tangent line切线的斜率slope of the tangent line位置函数position function导数derivative可导derivable函数的变化率问题problem of the change rate of a function 导函数derived function左导数left-hand derivative右导数right-hand derivative单侧导数one-sided derivatives在闭区间[a, b]上可导is derivable on the closed interval [a,b] 切线方程tangent equation角速度angular velocity成本函数cost function边际成本marginal cost链式法则chain rule隐函数implicit function显函数explicit function二阶函数second derivative三阶导数third derivative高阶导数nth derivative莱布尼茨公式Leibniz formula对数求导法log- derivative参数方程parametric equation相关变化率correlative change rata微分differential可微的differentiable函数的微分differential of function自变量的微分differential of independent variable微商differential quotient间接测量误差indirect measurement error绝对误差absolute error相对误差relative error第三章微分中值定理与导数的应用Chapter3 Mean Value Theorem ofDifferentials and the Application ofDerivatives罗马定理Rolle’s theorem费马引理Fermat’s lemma拉格朗日中值定理Lagrange’s mean value theorem驻点stationary point稳定点stable point 临界点critical point辅助函数auxiliary function拉格朗日中值公式Lagrange’s mean value formula柯西中值定理Cauchy’s mean value theorem 洛必达法则L’Hospital’s Rule0/0型不定式indeterminate form of type 0/0 不定式indeterminate form泰勒中值定理Taylor’s mean value theorem 泰勒公式T aylorformula余项remainder term拉格朗日余项Lagrange remainder term麦克劳林公式Ma claurin’s formula佩亚诺公式Peano remainder term凹凸性concavity凹向上的concave upward, cancave up凹向下的，向上凸的concave downward’ concave down 拐点inflection point函数的极值extremum of function极大值local(relative) maximum最大值global(absolute) mximum极小值local(relative) minimum最小值global(absolute) minimum目标函数objective function曲率curvature弧微分arc differential平均曲率average curvature曲率园circle of curvature曲率中心center of curvature曲率半径radius of curvature渐屈线evolute渐伸线involute根的隔离isolation of root隔离区间isolation interval切线法tangent line method第四章不定积分Chapter4 Indefinite Integrals原函数primitive function(anti-derivative)积分号sign of integration被积函数integrand积分变量integral variable积分曲线integral curve积分表table of integrals换元积分法integration by substitution分部积分法integration by parts分部积分公式formula of integration by parts 有理函数rational function真分式proper fraction假分式improper fraction第五章定积分Chapter5 Definite Integrals曲边梯形trapezoid with曲边curve edge窄矩形narrow rectangle曲边梯形的面积area of trapezoid with curved edge积分下限lower limit of integral积分上限upper limit of integral积分区间integral interval分割partition积分和integral sum可积integrable矩形法rectangle method积分中值定理mean value theorem of integrals函数在区间上的平均值average value of a function on an integvals牛顿－莱布尼茨公式Newton-Leibniz formula微积分基本公式fundamental formula of calculus换元公式formula for integration by substitution递推公式recurrence formula反常积分improper integral 反常积分发散the improper integral is divergent反常积分收敛the improper integral is convergent无穷限的反常积分improper integral on an infinite interval无界函数的反常积分improper integral of unbounded functions绝对收敛absolutely convergent第六章定积分的应用Chapter6 Applications of the DefiniteIntegrals元素法the element method面积元素element of area平面图形的面积area of a luane figure直角坐标又称“笛卡儿坐标(Cartesian coordinates)”极坐标polar coordinates抛物线parabola椭圆ellipse旋转体的面积volume of a solid of rotation旋转椭球体ellipsoid of revolution, ellipsoid of rotation曲线的弧长arc length of acurve可求长的rectifiable光滑smooth功work水压力water pressure引力gravitation变力variable force第七章空间解析几何与向量代数Chapter7 Space Analytic Geometry andVector Algebra向量vector自由向量free vector单位向量unit vector零向量zero vector相等equal平行parallel向量的线性运算linear poeration of vector三角法则triangle rule平行四边形法则parallelogram rule交换律commutative law结合律associative law负向量negative vector差difference分配律distributive law空间直角坐标系space rectangular coordinates坐标面coordinate plane卦限octant向量的模modulus of vector向量a与b的夹角angle between vector a and b方向余弦direction cosine方向角direction angle向量在轴上的投影projection of a vector onto an axis数量积，外积，叉积scalar product,dot product,inner product 曲面方程equation for a surface球面sphere旋转曲面surface of revolution母线generating line轴axis圆锥面cone顶点vertex旋转单叶双曲面revolution hyperboloids of one sheet旋转双叶双曲面revolution hyperboloids of two sheets柱面cylindrical surface ,cylinder圆柱面cylindrical surface准线directrix抛物柱面parabolic cylinder二次曲面quadric surface 椭圆锥面dlliptic cone椭球面ellipsoid单叶双曲面hyperboloid of one sheet双叶双曲面hyperboloid of two sheets旋转椭球面ellipsoid of revolution椭圆抛物面elliptic paraboloid旋转抛物面paraboloid of revolution双曲抛物面hyperbolic paraboloid马鞍面saddle surface椭圆柱面elliptic cylinder双曲柱面hyperbolic cylinder抛物柱面parabolic cylinder空间曲线space curve空间曲线的一般方程general form equations of a space curve 空间曲线的参数方程parametric equations of a space curve 螺转线spiral螺矩pitch投影柱面projecting cylinder投影projection平面的点法式方程pointnorm form eqyation of a plane法向量normal vector平面的一般方程general form equation of a plane两平面的夹角angle between two planes点到平面的距离distance from a point to a plane空间直线的一般方程general equation of a line in space方向向量direction vector直线的点向式方程pointdirection form equations of a line方向数direction number直线的参数方程parametric equations of a line两直线的夹角angle between two lines垂直perpendicular直线与平面的夹角angle between a line and a planes平面束pencil of planes平面束的方程equation of a pencil of planes 行列式determinant系数行列式coefficient determinant第八章多元函数微分法及其应用Chapter8 Differentiation of Functions ofSeveral Variables and Its Application一元函数function of one variable多元函数function of several variables内点interior point外点exterior point边界点frontier point,boundary point聚点point of accumulation开集openset闭集closed set连通集connected set开区域open region闭区域closed region有界集bounded set无界集unbounded setn维空间n-dimentional space二重极限double limit多元函数的连续性continuity of function of seveal连续函数continuous function不连续点discontinuity point一致连续uniformly continuous偏导数partial derivative对自变量x的偏导数partial derivative with respect to independent variable x高阶偏导数partial derivative of higher order 二阶偏导数second order partial derivative混合偏导数hybrid partial derivative全微分total differential偏增量oartial increment偏微分partial differential 全增量total increment可微分differentiable必要条件necessary condition充分条件sufficient condition叠加原理superpostition principle全导数total derivative中间变量intermediate variable隐函数存在定理theorem of the existence of implicit function 曲线的切向量tangent vector of a curve法平面normal plane向量方程vector equation向量值函数vector-valued function切平面tangent plane法线normal line方向导数directional derivative梯度gradient数量场scalar field梯度场gradient field向量场vector field势场potential field引力场gravitational field引力势gravitational potential曲面在一点的切平面tangent plane to a surface at a point曲线在一点的法线normal line to a surface at a point无条件极值unconditional extreme values条件极值conditional extreme values拉格朗日乘数法Lagrange multiplier method 拉格朗日乘子Lagrange multiplier经验公式empirical formula最小二乘法method of least squares均方误差mean square error第九章重积分Chapter9 Multiple Integrals二重积分double integral可加性additivity累次积分iterated integral体积元素volume element三重积分triple integral直角坐标系中的体积元素volume element in rectangular coordinate system柱面坐标cylindrical coordinates柱面坐标系中的体积元素volume element in cylindrical coordinate system球面坐标spherical coordinates球面坐标系中的体积元素volume element in spherical coordinate system反常二重积分improper double integral曲面的面积area of a surface质心centre of mass静矩static moment密度density形心centroid转动惯量moment of inertia参变量parametric variable第十章曲线积分与曲面积分Chapter10 Line (Curve) Integrals andSurface Integrals对弧长的曲线积分line integrals with respect to arc hength第一类曲线积分line integrals of the first type对坐标的曲线积分line integrals with respect to x,y,and z第二类曲线积分line integrals of the second type有向曲线弧directed arc单连通区域simple connected region复连通区域complex connected region格林公式Green formula第一类曲面积分surface integrals of the first type对面的曲面积分surface integrals with respect to area 有向曲面directed surface对坐标的曲面积分surface integrals with respect to coordinate elements第二类曲面积分surface integrals of the second type有向曲面元element of directed surface高斯公式gauss formula拉普拉斯算子Laplace operator格林第一公式Green’s first formula通量flux散度divergence斯托克斯公式Stokes formula环流量circulation旋度rotation,curl第十一章无穷级数Chapter11 Infinite Series一般项general term部分和partial sum余项remainder term等比级数geometric series几何级数geometric series公比common ratio调和级数harmonic series柯西收敛准则Cauchy convergence criteria, Cauchy criteria for convergence正项级数series of positive terms达朗贝尔判别法D’Alembert test柯西判别法Cauchy test交错级数alternating series绝对收敛absolutely convergent条件收敛conditionally convergent柯西乘积Cauchy product函数项级数series of functions发散点point of divergence收敛点point of convergence收敛域convergence domain和函数sum function幂级数power series幂级数的系数coeffcients of power series阿贝尔定理Abel Theorem收敛半径radius of convergence收敛区间interval of convergence泰勒级数Taylor series麦克劳林级数Maclaurin series二项展开式binomial expansion近似计算approximate calculation舍入误差round-off error,rounding error欧拉公式Euler’s formula魏尔斯特拉丝判别法Weierstrass test三角级数trigonometric series振幅amplitude角频率angular frequency初相initial phase矩形波square wave谐波分析harmonic analysis直流分量direct component基波fundamental wave二次谐波second harmonic三角函数系trigonometric function system傅立叶系数Fourier coefficient傅立叶级数Forrier series周期延拓periodic prolongation正弦级数sine series余弦级数cosine series奇延拓odd prolongation偶延拓even prolongation傅立叶级数的复数形式complex form of Fourier series第十二章微分方程Chapter12 Differential Equation解微分方程solve a differential equation常微分方程ordinary differential equation偏微分方程partial differential equation,PDE 微分方程的阶order of a differential equation 微分方程的解solution of adifferential equation 微分方程的通解general solution of a differential equation初始条件initial condition微分方程的特解particular solution of a differential equation 初值问题initial value problem微分方程的积分曲线integral curve of a differential equation 可分离变量的微分方程variable separable differential equation 隐式解implicit solution隐式通解inplicit general solution衰变系数decay coefficient衰变decay齐次方程homogeneous equation一阶线性方程linear differential equation of first order非齐次non-homogeneous齐次线性方程homogeneous linear equation 非齐次线性方程non-homogeneous linear equation常数变易法method of variation of constant 暂态电流transient state current稳态电流steady state current伯努利方程Bernoulli equation全微分方程total differential equation积分因子integrating factor高阶微分方程differential equation of higher order悬链线catenary高阶线性微分方程linear differential equation of higher order 自由振动的微分方程differential equation of free vibration强迫振动的微分方程differential equation of forced oscillation 串联电路的振荡方程oscillation equation of series circuit二阶线性微分方程second order lineardifferential equation线性相关linearly dependence线性无关linearly independence二阶常系数齐次线性微分方程second order homogeneous linear differential equation with constant coefficient二阶变系数齐次线性微分方程second order homogeneous linear differential equation with variable coefficient特征方程characteristic equation无阻尼自由振动的微分方程differential equation of free vibration with zero damping 固有频率natural frequency 简谐振动simple harmonic oscillation,simple harmonic vibration 微分算子differential operator待定系数法method of undetermined coefficient共振现象resonance phenomenon欧拉方程Euler equation幂级数解法power series solution数值解法numerial solution勒让德方程Legendre equation微分方程组system of differential equations常系数线性微分方程组system of linear differential equations with constant coefficientV、X、Z:Value of function ：函数值Variable ：变数Vector ：向量Velocity ：速度Vertical asymptote ：垂直渐近线Volume ：体积X-axis ：x轴x-coordinate ：x坐标x-intercept ：x截距Zero vector ：函数的零点Zeros of a polynomial ：多项式的零点T:Tangent function ：正切函数Tangent line ：切线Tangent plane ：切平面Tangent vector ：切向量Total differential ：全微分Trigonometric function ：三角函数Trigonometric integrals ：三角积分Trigonometric substitutions ：三角代换法Tripe integrals ：三重积分S:Saddle point ：鞍点Scalar ：纯量Secant line ：割线Second derivative ：二阶导数Second Derivative Test ：二阶导数试验法Second partial derivative ：二阶偏导数Sector ：扇形Sequence ：数列Series ：级数Set ：集合Shell method ：剥壳法Sine function ：正弦函数Singularity ：奇点Slant asymptote ：斜渐近线Slope ：斜率Slope-intercept equation of a line ：直线的斜截式Smooth curve ：平滑曲线Smooth surface ：平滑曲面Solid of revolution ：旋转体Space ：空间Speed ：速率Spherical coordinates ：球面坐标Squeeze Theorem ：夹挤定理Step function ：阶梯函数Strictly decreasing ：严格递减Strictly increasing ：严格递增Sum ：和Surface ：曲面Surface integral ：面积分Surface of revolution ：旋转曲面Symmetry ：对称R:Radius of convergence ：收敛半径Range of a function ：函数的值域Rate of change ：变化率Rational function ：有理函数Rationalizing substitution ：有理代换法Rational number ：有理数Real number ：实数Rectangular coordinates ：直角坐标Rectangular coordinate system ：直角坐标系Relative maximum and minimum ：相对极大值与极小值Revenue function ：收入函数Revolution , solid of ：旋转体Revolution , surface of ：旋转曲面Riemann Sum ：黎曼和Riemannian geometry ：黎曼几何Right-hand derivative ：右导数Right-hand limit ：右极限Root ：根P、Q:Parabola ：拋物线Parabolic cylinder ：抛物柱面Paraboloid ：抛物面Parallelepiped ：平行六面体Parallel lines ：并行线Parameter ：参数Partial derivative ：偏导数Partial differential equation ：偏微分方程Partial fractions ：部分分式Partial integration ：部分积分Partiton ：分割Period ：周期Periodic function ：周期函数Perpendicular lines ：垂直线Piecewise defined function 分段定义函数Plane ：平面Point of inflection ：反曲点Polar axis ：极轴Polar coordinate ：极坐标Polar equation ：极方程式Pole ：极点Polynomial ：多项式Positive angle ：正角Point-slope form ：点斜式Power function ：幂函数Product ：积Quadrant ：象限Quotient Law of limit 极限的商定律Quotient Rule ：商定律M、N、O:Maximum and minimum values ：极大与极小值Mean Value Theorem ：均值定理Multiple integrals ：重积分Multiplier ：乘子Natural exponential function 自然指数函数Natural logarithm function 自然对数函数Natural number ：自然数Normal line ：法线Normal vector ：法向量Number ：数Octant ：卦限Odd function ：奇函数One-sided limit ：单边极限Open interval ：开区间Optimization problems ：最佳化问题Order ：阶Ordinary differential equation ：常微分方程Origin ：原点Orthogonal ：正交的L:Laplace transform ：Leplace 变换Law of Cosines ：余弦定理Least upper bound ：最小上界Left-hand derivative ：左导数Left-hand limit ：左极限Lemniscate ：双钮线Length ：长度Level curve ：等高线L'Hospital's rule 洛必达法则Limacon ：蚶线Limit ：极限Linear approximation：线性近似Linear equation ：线性方程式Linear function ：线性函数Linearity ：线性Linearization ：线性化Line in the plane ：平面上之直线Line in space ：空间之直线Lobachevski geometry 罗巴切夫斯基几何Local extremum ：局部极值Local maximum and minimum 局部极大值与极小值Logarithm ：对数Logarithmic function ：对数函数I:Implicit differentiation ：隐求导法Implicit function ：隐函数Improper integral ：瑕积分Increasing/Decreasing Test 递增或递减试验法Increment ：增量Increasing Function ：增函数Indefinite integral ：不定积分Independent variable ：自变数Indeterminate from ：不定型Inequality ：不等式Infinite point ：无穷极限Infinite series ：无穷级数Inflection point ：反曲点Instantaneous velocity ：瞬时速度Integer ：整数Integral ：积分Integrand ：被积分式Integration ：积分Integration by part ：分部积分法Intercepts ：截距Intermediate value of Theorem 中间值定理Interval ：区间Inverse function ：反函数Inverse trigonometric function反三角函数Iterated integral ：逐次积分H:Higher mathematics 高等数学/高数E、F、G、H:Ellipse ：椭圆Ellipsoid ：椭圆体Epicycloid ：外摆线Equation ：方程式Even function ：偶函数Expected Valued ：期望值Exponential Function ：指数函数Exponents , laws of ：指数率Extreme value ：极值Extreme Value Theorem ：极值定理Factorial ：阶乘First Derivative Test ：一阶导数试验法First octant ：第一卦限Focus ：焦点Fractions ：分式Function ：函数Fundamental Theorem of Calculus ：微积分基本定理Geometric series ：几何级数Gradient ：梯度Graph ：图形Green Formula ：格林公式Half-angle formulas ：半角公式Harmonic series ：调和级数Helix ：螺旋线Higher Derivative ：高阶导数Horizontal asymptote ：水平渐近线Horizontal line ：水平线Hyperbola ：双曲线Hyper boloid ：双曲面D:Decreasing function ：递减函数Decreasing sequence ：递减数列Definite integral ：定积分Degree of a polynomial ：多项式之次数Density ：密度Derivative ：导数of a composite function ：复合函数之导数of a constant function ：常数函数之导数directional ：方向导数domain of ：导数之定义域of exponential function ：指数函数之导数higher ：高阶导数partial ：偏导数of a power function ：幂函数之导数of a power series ：羃级数之导数of a product ：积之导数of a quotient ：商之导数as a rate of change ：导数当作变率right-hand ：右导数second ：二阶导数as the slope of a tangent 导数看成切线之斜率Determinant ：行列式Differentiable function 可导函数Differential ：微分Differential equation ：微分方程partial ：偏微分方程Differentiation ：求导法implicit ：隐求导法partial ：偏微分法term by term ：逐项求导法Directional derivatives ：方向导数Discontinuity ：不连续性Disk method ：圆盘法Distance ：距离Divergence ：发散Domain ：定义域Dot product ：点积Double integral ：二重积分change of variable in二重积分之变数变换in polar coordinates ：极坐标二重积分C:Calculus ：微积分differential ：微分学integral ：积分学Cartesian coordinates ：笛卡儿坐标一般指直角坐标Cartesian coordinates system 笛卡儿坐标系Cauch’s Mean Value Theorem 柯西均值定理Chain Rule ：连锁律Change of variables ：变数变换Circle ：圆Circular cylinder ：圆柱Closed interval ：封闭区间Coefficient ：系数Composition of function ：函数之合成Compound interest ：复利Concavity ：凹性Conchoid ：蚌线Cone ：圆锥Constant function ：常数函数Constant of integration ：积分常数Continuity ：连续性at a point ：在一点处之连续性of a function ：函数之连续性on an interval ：在区间之连续性from the left ：左连续from the right ：右连续Continuous function ：连续函数Convergence ：收敛interval of ：收敛区间radius of ：收敛半径Convergent sequence ：收敛数列series ：收敛级数Coordinate：s：坐标Cartesian ：笛卡儿坐标cylindrical ：柱面坐标polar ：极坐标rectangular ：直角坐标spherical ：球面坐标Coordinate axes ：坐标轴Coordinate planes ：坐标平面Cosine function ：余弦函数Critical point ：临界点Cubic function ：三次函数Curve ：曲线Cylinder：圆柱Cylindrical Coordinates ：圆柱坐标A、B:Absolute convergence ：绝对收敛Absolute extreme values ：绝对极值Absolute maximum and minimum 绝对极大与极小Absolute value ：绝对值Absolute value function ：绝对值函数Acceleration ：加速度Antiderivative ：反导数Approximate integration ：近似积分Approximation ：逼近法by differentials ：用微分逼近linear ：线性逼近法by Simpson’s Rule ：Simpson法则逼近法by the Trapezoidal Rule 梯形法则逼近法Arbitrary constant ：任意常数Arc length ：弧长Area ：面积under a curve ：曲线下方之面积between curves ：曲线间之面积in polar coordinates ：极坐标表示之面积of a sector of a circle ：扇形之面积of a surface of a revolution 旋转曲面之面积Asymptote ：渐近线horizontal ：水平渐近线slant ：斜渐近线vertical ：垂直渐近线Average speed ：平均速率Average velocity ：平均速度Axes, coordinate ：坐标轴Axes of ellipse ：椭圆之轴Binomial series ：二项级数微积分专有名词中英文对照absolutely convergent 绝对收敛absolute value 绝对值algebraic function 代数函数analytic geometry 解析几何antiderivative 不定积分approximate integration 近似积分approximation 近似法、逼近法arbitrary constant 任意常数arithmetic series/progression (AP)算数级数asymptotes (vertical and horizontal)(垂直/水平)渐近线average rate of change 平均变化率base 基数binomial theorem 二项式定理，二项展开式Cartesian coordinates 笛卡儿坐标(一般指直角坐标)Cartesian coordinates system 笛卡儿坐标系Cauch’s Mean Value Theorem 柯西均值定理chain rule 链式求导法则calculus 微积分学closed interval integral 闭区间积分coefficient 系数composite function 复合函数conchoid 蚌线continuity (函数的)连续性concavity (函数的)凹凸性conditionally convergent 有条件收敛continuity 连续性critical point 临界点cubic function 三次函数cylindrical coordinates 圆柱坐标decreasing function 递减函数decreasing sequence 递减数列definite integral 定积分derivative 导数determinant 行列式differential coefficient 微分系数differential equation 微分方程directional derivative 方向导数discontinuity 不连续性discriminant (二次函数)判别式disk method 圆盘法divergence 散度divergent 发散的domain 定义域dot product 点积double integral 二重积分ellipse 椭圆ellipsoid 椭圆体epicycloid 外摆线Euler's method (BC)欧拉法expected valued 期望值exponential function 指数函数extreme value heorem 极值定理factorial 阶乘finite series 有限级数fundamental theorem of calculus 微积分基本定理geometric series/progression (GP)几何级数gradient 梯度Green formula 格林公式half-angle formulas 半角公式harmonic series 调和级数helix 螺旋线higher derivative 高阶导数horizontal asymptote 水平渐近线horizontal line 水平线hyperbola 双曲线hyper boloid 双曲面implicit differentiation 隐函数求导implicit function 隐函数improper integral 广义积分、瑕积分increment 增量increasing function 增函数indefinite integral 不定积分independent variable 自变数inequality 不等式ndeterminate form 不定型infinite point 无穷极限infinite series 无穷级数infinite series 无限级数inflection point (POI) 拐点initial condition 初始条件instantaneous rate of change 瞬时变化率integrable 可积的integral 积分integrand 被积分式integration 积分integration by part 分部积分法intercept 截距intermediate value of Theorem ：中间值定理inverse function 反函数irrational function 无理函数iterated integral 逐次积分Laplace transform 拉普拉斯变换law of cosines 余弦定理least upper bound 最小上界left-hand derivative 左导数left-hand limit 左极限L'Hospital's rule 洛必达法则limacon 蚶线linear approximation 线性近似法linear equation 线性方程式linear function 线性函数linearity 线性linearization 线性化local maximum 极大值local minimum 极小值logarithmic function 对数函数MacLaurin series 麦克劳林级数maximum 最大值mean value theorem (MVT)中值定理minimum 最小值method of lagrange multipliers 拉格朗日乘数法modulus 绝对值multiple integral 多重积分multiple 倍数multiplier 乘子octant 卦限open interval integral 开区间积分optimization 优化法，极值法origin 原点orthogonal 正交parametric equation (BC)参数方程partial derivative 偏导数partial differential equation 偏微分方程partial fractions 部分分式piece-wise function 分段函数parabola 抛物线parabolic cylinder 抛物柱面paraboloid ：抛物面parallelepiped 平行六面体parallel lines 并行线parameter ：参数partial integration 部分积分partiton ：分割period ：周期periodic function 周期函数perpendicular lines 垂直线piecewise defined function 分段定义函数plane 平面point of inflection 反曲点point-slope form 点斜式polar axis 极轴polar coordinates 极坐标polar equation 极坐标方程pole 极点polynomial 多项式power series 幂级数product rule 积的求导法则quadrant 象限quadratic functions 二次函数quotient rule 商的求导法则radical 根式radius of convergence 收敛半径range 值域(related) rate of change with time (时间)变化率rational function 有理函数reciprocal 倒数remainder theorem 余数定理Riemann sum 黎曼和Riemannian geometry 黎曼几何right-hand limit 右极限Rolle's theorem 罗尔(中值)定理root 根rotation 旋转secant line 割线second derivative 二阶导数second derivative test 二阶导数试验法second partial derivative 二阶偏导数series 级数shell method (积分)圆筒法sine function 正弦函数singularity 奇点slant 母线slant asymptote 斜渐近线slope 斜率slope-intercept equation of a line 直线的斜截式smooth curve 平滑曲线smooth surface 平滑曲面solid of revolution 旋转体symmetry 对称性substitution 代入法、变量代换tangent function 正切函数tangent line 切线tangent plane 切(平)面tangent vector 切矢量taylor's series 泰勒级数three-dimensional analytic geometry 空间解析几何total differentiation 全微分trapezoid rule 梯形(积分)法则。

高等数学常用术语中英文对照一览表

高等数学常用术语中英文对照一览表以下是高等数学中常用术语的中英文对照一览表：中文术语英文术语极限 Limit连续 Continuity导数 Derivative可导性 Derivability不可导点 Non-derivable point原函数 Antiderivative function不定积分 Indefinite integral定积分 Definite integral微分 Differential偏导数 Partial derivative全微分 Total differential高阶导数 High-order derivative洛必达法则 L'Hospital's rule泰勒级数 Taylor series无穷小量 Infinitesimal quantity无穷大量 Infinity收敛性 Convergence发散性 Divergence积分中值定理 Integral mean value theorem 零点定理 Zero point theorem介值定理 Intermediate value theorem函数的单调性 Monotonicity of function函数的凹凸性 Concavity/convexity of function 函数的极值 Extreme value of function函数的拐点 Inflection point of function函数的渐近线 Asymptote of function矩阵 Matrix行列式 Determinant线性方程组 Linear system of equations线性代数 Linear algebra二次型 Quadratic form特征值与特征向量 Eigenvalue and eigenvector 正交矩阵 Orthogonal matrix向量空间 Vector space线性变换 Linear transformation向量的模长 Length of vector向量的点积 Dot product of vectors 向量的叉积 Cross product of vectors。

高等数学名词(中英文对照)

高等数学专业名词中英文对照(全面)

微积分英文词汇,高数名词中英文对照,高等数学术语英语翻译一览关键词：微积分英文,高等数学英文翻译,高数英语词汇来源：上海外教网 | 发布日期：2008-05-16 17:12V、X、Z:Value of function ：函数值Variable ：变数Vector ：向量Velocity ：速度Vertical asymptote ：垂直渐近线Volume ：体积X-axis ：x轴x-coordinate ：x坐标x-intercept ：x截距Zero vector ：函数的零点Zeros of a polynomial ：多项式的零点T:Tangent function ：正切函数Tangent line ：切线Tangent plane ：切平面Tangent vector ：切向量Total differential ：全微分Trigonometric function ：三角函数Trigonometric integrals ：三角积分Trigonometric substitutions ：三角代换法Tripe integrals ：三重积分S:Saddle point ：鞍点Scalar ：纯量Secant line ：割线Second derivative ：二阶导数Second Derivative Test ：二阶导数试验法Second partial derivative ：二阶偏导数Sector ：扇形Sequence ：数列Series ：级数Set ：集合Shell method ：剥壳法Sine function ：正弦函数Singularity ：奇点Slant asymptote ：斜渐近线Slope ：斜率Slope-intercept equation of a line ：直线的斜截式Smooth curve ：平滑曲线Smooth surface ：平滑曲面Solid of revolution ：旋转体Space ：空间Speed ：速率Spherical coordinates ：球面坐标Squeeze Theorem ：夹挤定理Step function ：阶梯函数Strictly decreasing ：严格递减Strictly increasing ：严格递增Sum ：和Surface ：曲面Surface integral ：面积分Surface of revolution ：旋转曲面Symmetry ：对称R:Radius of convergence ：收敛半径Range of a function ：函数的值域Rate of change ：变化率Rational function ：有理函数Rationalizing substitution ：有理代换法Rational number ：有理数Real number ：实数Rectangular coordinates ：直角坐标Rectangular coordinate system ：直角坐标系Relative maximum and minimum ：相对极大值与极小值Revenue function ：收入函数Revolution , solid of ：旋转体Revolution , surface of ：旋转曲面Riemann Sum ：黎曼和Riemannian geometry ：黎曼几何Right-hand derivative ：右导数Right-hand limit ：右极限Root ：根P、Q:Parabola ：拋物线Parabolic cylinder ：抛物柱面Paraboloid ：抛物面Parallelepiped ：平行六面体Parallel lines ：并行线Parameter ：参数Partial derivative ：偏导数Partial differential equation ：偏微分方程Partial fractions ：部分分式Partial integration ：部分积分Partiton ：分割Period ：周期Periodic function ：周期函数Perpendicular lines ：垂直线Piecewise defined function ：分段定义函数Plane ：平面Point of inflection ：反曲点Polar axis ：极轴Polar coordinate ：极坐标Polar equation ：极方程式Pole ：极点Polynomial ：多项式Positive angle ：正角Point-slope form ：点斜式Power function ：幂函数Product ：积Quadrant ：象限Quotient Law of limit ：极限的商定律Quotient Rule ：商定律M、N、O:Maximum and minimum values ：极大与极小值Mean Value Theorem ：均值定理Multiple integrals ：重积分Multiplier ：乘子Natural exponential function ：自然指数函数Natural logarithm function ：自然对数函数Natural number ：自然数Normal line ：法线Normal vector ：法向量Number ：数Octant ：卦限Odd function ：奇函数One-sided limit ：单边极限Open interval ：开区间Optimization problems ：最佳化问题Order ：阶Ordinary differential equation ：常微分方程Origin ：原点Orthogonal ：正交的L:Laplace transform ：Leplace 变换Law of Cosines ：余弦定理Least upper bound ：最小上界Left-hand derivative ：左导数Left-hand limit ：左极限Lemniscate ：双钮线Length ：长度Level curve ：等高线L'Hospital's rule ：洛必达法则Limacon ：蚶线Limit ：极限Linear approximation：线性近似Linear equation ：线性方程式Linear function ：线性函数Linearity ：线性Linearization ：线性化Line in the plane ：平面上之直线Line in space ：空间之直线Lobachevski geometry ：罗巴切夫斯基几何Local extremum ：局部极值Local maximum and minimum ：局部极大值与极小值Logarithm ：对数Logarithmic function ：对数函数I:Implicit differentiation ：隐求导法Implicit function ：隐函数Improper integral ：瑕积分Increasing/Decreasing Test ：递增或递减试验法Increment ：增量Increasing Function ：增函数Indefinite integral ：不定积分Independent variable ：自变数Indeterminate from ：不定型Inequality ：不等式Infinite point ：无穷极限Infinite series ：无穷级数Inflection point ：反曲点Instantaneous velocity ：瞬时速度Integer ：整数Integral ：积分Integrand ：被积分式Integration ：积分Integration by part ：分部积分法Intercepts ：截距Intermediate value of Theorem ：中间值定理Interval ：区间Inverse function ：反函数Inverse trigonometric function ：反三角函数Iterated integral ：逐次积分H:Higher mathematics 高等数学/高数E、F、G、H:Ellipse ：椭圆Ellipsoid ：椭圆体Epicycloid ：外摆线Equation ：方程式Even function ：偶函数Expected Valued ：期望值Exponential Function ：指数函数Exponents , laws of ：指数率Extreme value ：极值Extreme Value Theorem ：极值定理Factorial ：阶乘First Derivative Test ：一阶导数试验法First octant ：第一卦限Focus ：焦点Fractions ：分式Function ：函数Fundamental Theorem of Calculus ：微积分基本定理Geometric series ：几何级数Gradient ：梯度Graph ：图形Green Formula ：格林公式Half-angle formulas ：半角公式Harmonic series ：调和级数Helix ：螺旋线Higher Derivative ：高阶导数Horizontal asymptote ：水平渐近线Horizontal line ：水平线Hyperbola ：双曲线Hyper boloid ：双曲面D:Decreasing function ：递减函数Decreasing sequence ：递减数列Definite integral ：定积分Degree of a polynomial ：多项式之次数Density ：密度Derivative ：导数of a composite function ：复合函数之导数of a constant function ：常数函数之导数directional ：方向导数domain of ：导数之定义域of exponential function ：指数函数之导数higher ：高阶导数partial ：偏导数of a power function ：幂函数之导数of a power series ：羃级数之导数of a product ：积之导数of a quotient ：商之导数as a rate of change ：导数当作变率right-hand ：右导数second ：二阶导数as the slope of a tangent ：导数看成切线之斜率Determinant ：行列式Differentiable function ：可导函数Differential ：微分Differential equation ：微分方程partial ：偏微分方程Differentiation ：求导法implicit ：隐求导法partial ：偏微分法term by term ：逐项求导法Directional derivatives ：方向导数Discontinuity ：不连续性Disk method ：圆盘法Distance ：距离Divergence ：发散Domain ：定义域Dot product ：点积Double integral ：二重积分change of variable in ：二重积分之变数变换in polar coordinates ：极坐标二重积分C:Calculus ：微积分differential ：微分学integral ：积分学Cartesian coordinates ：笛卡儿坐标一般指直角坐标Cartesian coordinates system ：笛卡儿坐标系Cauch’s Mean Value Theor em ：柯西均值定理Chain Rule ：连锁律Change of variables ：变数变换Circle ：圆Circular cylinder ：圆柱Closed interval ：封闭区间Coefficient ：系数Composition of function ：函数之合成Compound interest ：复利Concavity ：凹性Conchoid ：蚌线Cone ：圆锥Constant function ：常数函数Constant of integration ：积分常数Continuity ：连续性at a point ：在一点处之连续性of a function ：函数之连续性on an interval ：在区间之连续性from the left ：左连续from the right ：右连续Continuous function ：连续函数Convergence ：收敛interval of ：收敛区间radius of ：收敛半径Convergent sequence ：收敛数列series ：收敛级数Coordinate：s：坐标Cartesian ：笛卡儿坐标cylindrical ：柱面坐标polar ：极坐标rectangular ：直角坐标spherical ：球面坐标Coordinate axes ：坐标轴Coordinate planes ：坐标平面Cosine function ：余弦函数Critical point ：临界点Cubic function ：三次函数Curve ：曲线Cylinder：圆柱Cylindrical Coordinates ：圆柱坐标A、B:Absolute convergence ：绝对收敛Absolute extreme values ：绝对极值Absolute maximum and minimum ：绝对极大与极小Absolute value ：绝对值Absolute value function ：绝对值函数Acceleration ：加速度Antiderivative ：反导数Approximate integration ：近似积分Approximation ：逼近法by differentials ：用微分逼近linear ：线性逼近法by Simpson’s Rule ：Simpson法则逼近法by the Trapezoidal Rule ：梯形法则逼近法Arbitrary constant ：任意常数Arc length ：弧长Area ：面积under a curve ：曲线下方之面积between curves ：曲线间之面积in polar coordinates ：极坐标表示之面积of a sector of a circle ：扇形之面积of a surface of a revolution ：旋转曲面之面积Asymptote ：渐近线horizontal ：水平渐近线slant ：斜渐近线vertical ：垂直渐近线Average speed ：平均速率Average velocity ：平均速度Axes, coordinate ：坐标轴Axes of ellipse ：椭圆之轴Binomial series ：二项级数微积分词汇第一章函数与极限Chapter1 Function and Limit集合 set元素 element子集 subset空集 empty set并集 union交集 intersection差集 difference of set基本集 basic set补集 complement set直积 direct product笛卡儿积 Cartesian product开区间 open interval闭区间 closed interval半开区间 half open interval有限区间 finite interval区间的长度 length of an interval无限区间 infinite interval领域 neighborhood领域的中心 centre of a neighborhood 领域的半径 radius of a neighborhood 左领域 left neighborhood右领域 right neighborhood映射 mappingX到Y的映射 mapping of X ontoY满射 surjection单射 injection一一映射 one-to-one mapping双射 bijection算子 operator变化 transformation函数 function逆映射 inverse mapping复合映射 composite mapping自变量 independent variable因变量 dependent variable定义域 domain函数值 value of function函数关系 function relation值域 range自然定义域 natural domain单值函数 single valued function多值函数 multiple valued function单值分支 one-valued branch函数图形 graph of a function绝对值函数 absolute value符号函数 sigh function整数部分 integral part阶梯曲线 step curve当且仅当 if and only if(iff)分段函数 piecewise function上界 upper bound下界 lower bound有界 boundedness无界 unbounded函数的单调性 monotonicity of a function单调增加的 increasing单调减少的 decreasing单调函数 monotone function函数的奇偶性 parity(odevity) of a function 对称 symmetry偶函数 even function奇函数 odd function函数的周期性 periodicity of a function周期 period反函数 inverse function直接函数 direct function复合函数 composite function中间变量 intermediate variable函数的运算 operation of function基本初等函数 basic elementary function初等函数 elementary function幂函数 power function指数函数 exponential function对数函数 logarithmic function三角函数 trigonometric function反三角函数 inverse trigonometric function 常数函数 constant function双曲函数 hyperbolic function双曲正弦 hyperbolic sine双曲余弦 hyperbolic cosine双曲正切 hyperbolic tangent反双曲正弦 inverse hyperbolic sine反双曲余弦 inverse hyperbolic cosine反双曲正切 inverse hyperbolic tangent极限 limit数列 sequence of number收敛 convergence收敛于 a converge to a发散 divergent极限的唯一性 uniqueness of limits收敛数列的有界性 boundedness of a convergent sequence子列 subsequence函数的极限 limits of functions函数当x趋于x0时的极限 limit of functions as x approaches x0左极限 left limit右极限 right limit单侧极限 one-sided limits水平渐近线 horizontal asymptote无穷小 infinitesimal无穷大 infinity铅直渐近线 vertical asymptote夹逼准则 squeeze rule单调数列 monotonic sequence高阶无穷小 infinitesimal of higher order低阶无穷小 infinitesimal of lower order同阶无穷小 infinitesimal of the same order作者：新少年特工 2007-10-8 18:37 回复此发言--------------------------------------------------------------------------------2 高等数学-翻译等阶无穷小 equivalent infinitesimal函数的连续性 continuity of a function增量 increment函数在x0连续 the function is continuous at x0左连续 left continuous右连续 right continuous区间上的连续函数 continuous function函数在该区间上连续 function is continuous on an interval不连续点 discontinuity point第一类间断点 discontinuity point of the first kind第二类间断点 discontinuity point of the second kind初等函数的连续性 continuity of the elementary functions定义区间 defined interval最大值 global maximum value (absolute maximum)最小值 global minimum value (absolute minimum)零点定理 the zero point theorem介值定理 intermediate value theorem第二章导数与微分Chapter2 Derivative and Differential速度 velocity匀速运动 uniform motion平均速度 average velocity瞬时速度 instantaneous velocity圆的切线 tangent line of a circle切线 tangent line切线的斜率 slope of the tangent line位置函数 position function导数 derivative可导 derivable函数的变化率问题 problem of the change rate of a function导函数 derived function左导数 left-hand derivative右导数 right-hand derivative单侧导数 one-sided derivatives在闭区间【a,b】上可导 is derivable on the closed interval [a,b] 切线方程 tangent equation角速度 angular velocity成本函数 cost function边际成本 marginal cost链式法则 chain rule隐函数 implicit function显函数 explicit function二阶函数 second derivative三阶导数 third derivative高阶导数 nth derivative莱布尼茨公式 Leibniz formula对数求导法 log- derivative参数方程 parametric equation相关变化率 correlative change rata微分 differential可微的 differentiable函数的微分 differential of function自变量的微分 differential of independent variable微商 differential quotient间接测量误差 indirect measurement error绝对误差 absolute error相对误差 relative error第三章微分中值定理与导数的应用Chapter3 MeanValue Theorem of Differentials and the Application of Derivatives罗马定理Rolle’s theorem费马引理Fermat’s lemma拉格朗日中值定理Lagrange’s mean value theorem驻点 stationary point稳定点 stable point临界点 critical point辅助函数 auxiliary function拉格朗日中值公式Lagrange’s mean value formula柯西中值定理Cauchy’s mean value theorem洛必达法则L’Hospital’s Rule0/0型不定式 indeterminate form of type 0/0不定式 indeterminate form泰勒中值定理Taylor’s mean value theorem泰勒公式 Taylor formula余项 remainder term拉格朗日余项 Lagrange remainder term麦克劳林公式Maclaurin’s formula佩亚诺公式 Peano remainder term凹凸性 concavity凹向上的 concave upward, cancave up凹向下的，向上凸的concave downward’ concave down拐点 inflection point函数的极值 extremum of function极大值 local(relative) maximum最大值 global(absolute) mximum极小值 local(relative) minimum最小值 global(absolute) minimum目标函数 objective function曲率 curvature弧微分 arc differential平均曲率 average curvature曲率园 circle of curvature曲率中心 center of curvature曲率半径 radius of curvature渐屈线 evolute渐伸线 involute根的隔离 isolation of root隔离区间 isolation interval切线法 tangent line method第四章不定积分Chapter4 Indefinite Integrals原函数 primitive function(antiderivative)积分号 sign of integration被积函数 integrand积分变量 integral variable积分曲线 integral curve积分表 table of integrals换元积分法 integration by substitution分部积分法 integration by parts分部积分公式 formula of integration by parts有理函数 rational function真分式 proper fraction假分式 improper fraction第五章定积分Chapter5 Definite Integrals曲边梯形 trapezoid with曲边 curve edge窄矩形 narrow rectangle曲边梯形的面积 area of trapezoid with curved edge积分下限 lower limit of integral积分上限 upper limit of integral积分区间 integral interval分割 partition积分和 integral sum可积 integrable矩形法 rectangle method积分中值定理 mean value theorem of integrals函数在区间上的平均值 average value of a function on an integvals 牛顿－莱布尼茨公式 Newton-Leibniz formula微积分基本公式 fundamental formula of calculus换元公式 formula for integration by substitution递推公式 recurrence formula反常积分 improper integral反常积分发散 the improper integral is divergent反常积分收敛 the improper integral is convergent无穷限的反常积分 improper integral on an infinite interval无界函数的反常积分 improper integral of unbounded functions绝对收敛 absolutely convergent第六章定积分的应用Chapter6 Applications of the Definite Integrals元素法 the element method面积元素 element of area平面图形的面积 area of a luane figure直角坐标又称“笛卡儿坐标(Cartesian coordinates)”极坐标 polar coordinates抛物线 parabola椭圆 ellipse旋转体的面积 volume of a solid of rotation旋转椭球体 ellipsoid of revolution, ellipsoid of rotation 曲线的弧长 arc length of acurve可求长的 rectifiable光滑 smooth功 work水压力 water pressure引力 gravitation变力 variable force第七章空间解析几何与向量代数Chapter7 Space Analytic Geometry and Vector Algebra向量 vector自由向量 free vector单位向量 unit vector零向量 zero vector相等 equal平行 parallel向量的线性运算 linear poeration of vector三角法则 triangle rule平行四边形法则 parallelogram rule交换律 commutative law结合律 associative law负向量 negative vector差 difference分配律 distributive law空间直角坐标系 space rectangular coordinates坐标面 coordinate plane卦限 octant向量的模 modulus of vector向量a与b的夹角 angle between vector a and b方向余弦 direction cosine方向角 direction angle向量在轴上的投影 projection of a vector onto an axis数量积，外积，叉积 scalar product,dot product,inner product 曲面方程 equation for a surface球面 sphere旋转曲面 surface of revolution母线 generating line轴 axis圆锥面 cone顶点 vertex旋转单叶双曲面 revolution hyperboloids of one sheet旋转双叶双曲面 revolution hyperboloids of two sheets柱面 cylindrical surface ,cylinder圆柱面 cylindrical surface准线 directrix抛物柱面 parabolic cylinder二次曲面 quadric surface椭圆锥面 dlliptic cone椭球面 ellipsoid单叶双曲面 hyperboloid of one sheet双叶双曲面 hyperboloid of two sheets旋转椭球面 ellipsoid of revolution椭圆抛物面 elliptic paraboloid旋转抛物面 paraboloid of revolution双曲抛物面 hyperbolic paraboloid马鞍面 saddle surface椭圆柱面 elliptic cylinder双曲柱面 hyperbolic cylinder抛物柱面 parabolic cylinder空间曲线 space curve空间曲线的一般方程 general form equations of a space curve 空间曲线的参数方程 parametric equations of a space curve 螺转线 spiral螺矩 pitch投影柱面 projecting cylinder投影 projection平面的点法式方程 pointnorm form eqyation of a plane法向量 normal vector平面的一般方程 general form equation of a plane两平面的夹角 angle between two planes点到平面的距离 distance from a point to a plane空间直线的一般方程 general equation of a line in space方向向量 direction vector直线的点向式方程 pointdirection form equations of a line 方向数 direction number直线的参数方程 parametric equations of a line两直线的夹角 angle between two lines垂直 perpendicular直线与平面的夹角 angle between a line and a planes平面束 pencil of planes平面束的方程 equation of a pencil of planes行列式 determinant系数行列式 coefficient determinant第八章多元函数微分法及其应用Chapter8 Differentiation of Functions of Several Variables and Its Application一元函数 function of one variable多元函数 function of several variables内点 interior point外点 exterior point边界点 frontier point,boundary point聚点 point of accumulation开集 openset闭集 closed set连通集 connected set开区域 open region闭区域 closed region有界集 bounded set无界集 unbounded setn维空间 n-dimentional space二重极限 double limit多元函数的连续性 continuity of function of seveal连续函数 continuous function不连续点 discontinuity point一致连续 uniformly continuous偏导数 partial derivative对自变量x的偏导数 partial derivative with respect to independent variable x高阶偏导数 partial derivative of higher order二阶偏导数 second order partial derivative混合偏导数 hybrid partial derivative全微分 total differential偏增量 oartial increment偏微分 partial differential全增量 total increment可微分 differentiable必要条件 necessary condition充分条件 sufficient condition叠加原理 superpostition principle全导数 total derivative中间变量 intermediate variable隐函数存在定理 theorem of the existence of implicit function曲线的切向量 tangent vector of a curve法平面 normal plane向量方程 vector equation向量值函数 vector-valued function切平面 tangent plane法线 normal line方向导数 directional derivative梯度 gradient数量场 scalar field梯度场 gradient field向量场 vector field势场 potential field引力场 gravitational field引力势 gravitational potential曲面在一点的切平面 tangent plane to a surface at a point曲线在一点的法线 normal line to a surface at a point无条件极值 unconditional extreme values条件极值 conditional extreme values拉格朗日乘数法 Lagrange multiplier method拉格朗日乘子 Lagrange multiplier经验公式 empirical formula最小二乘法 method of least squares均方误差 mean square error第九章重积分Chapter9 Multiple Integrals二重积分 double integral可加性 additivity累次积分 iterated integral体积元素 volume element三重积分 triple integral直角坐标系中的体积元素 volume element in rectangular coordinate system 柱面坐标 cylindrical coordinates柱面坐标系中的体积元素 volume element in cylindrical coordinate system 球面坐标 spherical coordinates球面坐标系中的体积元素 volume element in spherical coordinate system 反常二重积分 improper double integral曲面的面积 area of a surface质心 centre of mass静矩 static moment密度 density形心 centroid转动惯量 moment of inertia参变量 parametric variable第十章曲线积分与曲面积分Chapter10 Line(Curve)Integrals and Surface Integrals对弧长的曲线积分 line integrals with respect to arc hength第一类曲线积分 line integrals of the first type对坐标的曲线积分 line integrals with respect to x,y,and z第二类曲线积分 line integrals of the second type有向曲线弧 directed arc单连通区域 simple connected region复连通区域 complex connected region格林公式 Green formula第一类曲面积分 surface integrals of the first type对面的曲面积分 surface integrals with respect to area有向曲面 directed surface对坐标的曲面积分 surface integrals with respect to coordinate elements 第二类曲面积分 surface integrals of the second type有向曲面元 element of directed surface高斯公式 gauss formula拉普拉斯算子 Laplace operator格林第一公式Green’s first formula通量 flux散度 divergence斯托克斯公式 Stokes formula环流量 circulation旋度 rotation,curl第十一章无穷级数Chapter11 Infinite Series一般项 general term部分和 partial sum余项 remainder term等比级数 geometric series几何级数 geometric series公比 common ratio调和级数 harmonic series柯西收敛准则Cauchy convergence criteria, Cauchy criteria for convergence正项级数 series of positive terms达朗贝尔判别法D’Alembert test柯西判别法 Cauchy test交错级数 alternating series绝对收敛 absolutely convergent条件收敛 conditionally convergent柯西乘积 Cauchy product函数项级数 series of functions发散点 point of divergence收敛点 point of convergence收敛域 convergence domain和函数 sum function幂级数 power series幂级数的系数 coeffcients of power series阿贝尔定理 Abel Theorem收敛半径 radius of convergence收敛区间 interval of convergence泰勒级数 Taylor series麦克劳林级数 Maclaurin series二项展开式 binomial expansion近似计算 approximate calculation舍入误差 round-off error,rounding error欧拉公式Euler’s formula魏尔斯特拉丝判别法 Weierstrass test三角级数 trigonometric series振幅 amplitude角频率 angular frequency初相 initial phase矩形波 square wave谐波分析 harmonic analysis直流分量 direct component基波 fundamental wave二次谐波 second harmonic三角函数系 trigonometric function system傅立叶系数 Fourier coefficient傅立叶级数 Forrier series周期延拓 periodic prolongation正弦级数 sine series余弦级数 cosine series奇延拓 odd prolongation偶延拓 even prolongation傅立叶级数的复数形式 complex form of Fourier series第十二章微分方程Chapter12 Differential Equation解微分方程 solve a dirrerential equation常微分方程 ordinary differential equation偏微分方程 partial differential equation,PDE微分方程的阶 order of a differential equation微分方程的解 solution of a differential equation微分方程的通解 general solution of a differential equation初始条件 initial condition微分方程的特解 particular solution of a differential equation初值问题 initial value problem微分方程的积分曲线 integral curve of a differential equation可分离变量的微分方程 variable separable differential equation隐式解 implicit solution隐式通解 inplicit general solution衰变系数 decay coefficient衰变 decay齐次方程 homogeneous equation一阶线性方程 linear differential equation of first order非齐次 non-homogeneous齐次线性方程 homogeneous linear equation非齐次线性方程 non-homogeneous linear equation常数变易法 method of variation of constant暂态电流 transient stata current稳态电流 steady state current伯努利方程 Bernoulli equation全微分方程 total differential equation积分因子 integrating factor高阶微分方程 differential equation of higher order悬链线 catenary高阶线性微分方程 linera differential equation of higher order自由振动的微分方程 differential equation of free vibration强迫振动的微分方程 differential equation of forced oscillation串联电路的振荡方程 oscillation equation of series circuit二阶线性微分方程 second order linera differential equation线性相关 linearly dependence线性无关 linearly independce二阶常系数齐次线性微分方程 second order homogeneour linear differential equation with constant coefficient二阶变系数齐次线性微分方程 second order homogeneous linear differential equation with variable coefficient特征方程 characteristic equation无阻尼自由振动的微分方程 differential equation of free vibration with zero damping固有频率 natural frequency简谐振动 simple harmonic oscillation,simple harmonic vibration微分算子 differential operator待定系数法 method of undetermined coefficient共振现象 resonance phenomenon欧拉方程 Euler equation幂级数解法 power series solution数值解法 numerial solution勒让德方程 Legendre equation微分方程组 system of differential equations常系数线性微分方程组system of linera differential equations with constant coefficientV、X、Z:Value of function ：函数值Variable ：变数Vector ：向量Velocity ：速度Vertical asymptote ：垂直渐近线Volume ：体积X-axis ：x轴x-coordinate ：x坐标x-intercept ：x截距Zero vector ：函数的零点Zeros of a polynomial ：多项式的零点T:Tangent function ：正切函数Tangent line ：切线Tangent plane ：切平面Tangent vector ：切向量Total differential ：全微分Trigonometric function ：三角函数Trigonometric integrals ：三角积分Trigonometric substitutions ：三角代换法Tripe integrals ：三重积分S:Saddle point ：鞍点Scalar ：纯量Secant line ：割线Second derivative ：二阶导数Second Derivative Test ：二阶导数试验法Second partial derivative ：二阶偏导数Sector ：扇形Sequence ：数列Series ：级数Set ：集合Shell method ：剥壳法Sine function ：正弦函数Singularity ：奇点Slant asymptote ：斜渐近线Slope ：斜率Slope-intercept equation of a line ：直线的斜截式Smooth curve ：平滑曲线Smooth surface ：平滑曲面Solid of revolution ：旋转体Space ：空间Speed ：速率Spherical coordinates ：球面坐标Squeeze Theorem ：夹挤定理Step function ：阶梯函数Strictly decreasing ：严格递减Strictly increasing ：严格递增Sum ：和Surface ：曲面Surface integral ：面积分Surface of revolution ：旋转曲面Symmetry ：对称R:Radius of convergence ：收敛半径Range of a function ：函数的值域Rate of change ：变化率Rational function ：有理函数Rationalizing substitution ：有理代换法Rational number ：有理数Real number ：实数Rectangular coordinates ：直角坐标Rectangular coordinate system ：直角坐标系Relative maximum and minimum ：相对极大值与极小值Revenue function ：收入函数Revolution , solid of ：旋转体Revolution , surface of ：旋转曲面Riemann Sum ：黎曼和Riemannian geometry ：黎曼几何Right-hand derivative ：右导数Right-hand limit ：右极限Root ：根P、Q:Parabola ：拋物线Parabolic cylinder ：抛物柱面Paraboloid ：抛物面Parallelepiped ：平行六面体Parallel lines ：并行线Parameter ：参数Partial derivative ：偏导数Partial differential equation ：偏微分方程Partial fractions ：部分分式Partial integration ：部分积分Partiton ：分割Period ：周期Periodic function ：周期函数Perpendicular lines ：垂直线Piecewise defined function ：分段定义函数Plane ：平面Point of inflection ：反曲点Polar axis ：极轴Polar coordinate ：极坐标Polar equation ：极方程式Pole ：极点Polynomial ：多项式Positive angle ：正角Point-slope form ：点斜式Power function ：幂函数Product ：积Quadrant ：象限Quotient Law of limit ：极限的商定律Quotient Rule ：商定律M、N、O:Maximum and minimum values ：极大与极小值Mean Value Theorem ：均值定理Multiple integrals ：重积分Multiplier ：乘子Natural exponential function ：自然指数函数Natural logarithm function ：自然对数函数Natural number ：自然数Normal line ：法线Normal vector ：法向量Number ：数Octant ：卦限Odd function ：奇函数One-sided limit ：单边极限Open interval ：开区间Optimization problems ：最佳化问题Order ：阶Ordinary differential equation ：常微分方程Origin ：原点Orthogonal ：正交的L:Laplace transform ：Leplace 变换Law of Cosines ：余弦定理Least upper bound ：最小上界Left-hand derivative ：左导数Left-hand limit ：左极限Lemniscate ：双钮线Length ：长度Level curve ：等高线L'Hospital's rule ：洛必达法则Limacon ：蚶线Limit ：极限Linear approximation：线性近似Linear equation ：线性方程式Linear function ：线性函数Linearity ：线性Linearization ：线性化Line in the plane ：平面上之直线Line in space ：空间之直线Lobachevski geometry ：罗巴切夫斯基几何Local extremum ：局部极值Local maximum and minimum ：局部极大值与极小值Logarithm ：对数Logarithmic function ：对数函数I:Implicit differentiation ：隐求导法Implicit function ：隐函数Improper integral ：瑕积分Increasing/Decreasing Test ：递增或递减试验法Increment ：增量Increasing Function ：增函数Indefinite integral ：不定积分Independent variable ：自变数Indeterminate from ：不定型Inequality ：不等式Infinite point ：无穷极限Infinite series ：无穷级数Inflection point ：反曲点Instantaneous velocity ：瞬时速度Integer ：整数Integral ：积分Integrand ：被积分式Integration ：积分Integration by part ：分部积分法Intercepts ：截距Intermediate value of Theorem ：中间值定理Interval ：区间Inverse function ：反函数Inverse trigonometric function ：反三角函数Iterated integral ：逐次积分H:Higher mathematics 高等数学/高数E、F、G、H:Ellipse ：椭圆Ellipsoid ：椭圆体Epicycloid ：外摆线Equation ：方程式Even function ：偶函数Expected Valued ：期望值Exponential Function ：指数函数Exponents , laws of ：指数率Extreme value ：极值Extreme Value Theorem ：极值定理Factorial ：阶乘First Derivative Test ：一阶导数试验法First octant ：第一卦限Focus ：焦点Fractions ：分式Function ：函数Fundamental Theorem of Calculus ：微积分基本定理Geometric series ：几何级数Gradient ：梯度Graph ：图形Green Formula ：格林公式Half-angle formulas ：半角公式Harmonic series ：调和级数Helix ：螺旋线Higher Derivative ：高阶导数Horizontal asymptote ：水平渐近线。

高等数学名词(中英文)

高等数学名词(中英文)第一章函数与极限Chapter1 Function and Limit 集合set元素element子集subset空集empty set并集union交集intersection差集difference of set基本集basic set补集complement set直积direct product笛卡儿积Cartesian product开区间open interval闭区间closed interval半开区间half open interval有限区间finite interval区间的长度length of an interval无限区间infinite interval领域neighborhood领域的中心centre of a neighborhood 领域的半径radius of a neighborhood 左领域left neighborhood右领域right neighborhood映射mappingX到Y的映射mapping of X ontoY 满射surjection单射injection一一映射one-to-one mapping双射bijection算子operator变化transformation函数function逆映射inverse mapping复合映射composite mapping自变量independent variable 因变量dependent variable定义域domain函数值value of function函数关系function relation值域range自然定义域natural domain单值函数single valued function多值函数multiple valued function单值分支one-valued branch函数图形graph of a function绝对值函数absolute value符号函数sigh function整数部分integral part阶梯曲线step curve当且仅当if and only if(iff)分段函数piecewise function上界upper bound下界lower bound有界boundedness无界unbounded函数的单调性monotonicity of a function 单调增加的increasing单调减少的decreasing单调函数monotone function函数的奇偶性parity(odevity) of a function 对称symmetry偶函数even function奇函数odd function函数的周期性periodicity of a function周期period反函数inverse function直接函数direct function复合函数composite function中间变量intermediate variable函数的运算operation of function基本初等函数basic elementary function初等函数elementary function幂函数power function指数函数exponential function对数函数logarithmic function三角函数trigonometric function反三角函数inverse trigonometric function常数函数constant function双曲函数hyperbolic function双曲正弦hyperbolic sine双曲余弦hyperbolic cosine双曲正切hyperbolic tangent反双曲正弦inverse hyperbolic sine反双曲余弦inverse hyperbolic cosine反双曲正切inverse hyperbolic tangent极限limit数列sequence of number收敛convergence收敛于a converge to a发散divergent极限的唯一性uniqueness of limits收敛数列的有界性boundedness of a convergent sequence子列subsequence函数的极限limits of functions函数当x趋于x0时的极限limit of functions as x approaches x0左极限left limit右极限right limit单侧极限one-sided limits水平渐近线horizontal asymptote无穷小infinitesimal无穷大infinity铅直渐近线vertical asymptote夹逼准则squeeze rule单调数列monotonic sequence高阶无穷小infinitesimal of higher order低阶无穷小infinitesimal of lower order同阶无穷小infinitesimal of the same order等阶无穷小equivalent infinitesimal 函数的连续性continuity of a function增量increment函数在x0连续the function is continuous at x0左连续left continuous右连续right continuous区间上的连续函数continuous function函数在该区间上连续function is continuous on an interval不连续点discontinuity point第一类间断点discontinuity point of the first kind第二类间断点discontinuity point of the second kind初等函数的连续性continuity of the elementary functions定义区间defined interval最大值global maximum value (absolute maximum)最小值global minimum value (absolute minimum)零点定理the zero point theorem介值定理intermediate value theorem第二章导数与微分Chapter2 Derivative and Differential速度velocity匀速运动uniform motion平均速度average velocity瞬时速度instantaneous velocity圆的切线tangent line of a circle切线tangent line切线的斜率slope of the tangent line位置函数position function导数derivative可导derivable函数的变化率问题problem of the change rate of a function导函数derived function左导数left-hand derivative右导数right-hand derivative单侧导数one-sided derivatives在闭区间[a, b]上可导is derivable on the closed interval [a,b]切线方程tangent equation角速度angular velocity成本函数cost function边际成本marginal cost链式法则chain rule隐函数implicit function显函数explicit function二阶函数second derivative三阶导数third derivative高阶导数nth derivative莱布尼茨公式Leibniz formula对数求导法log- derivative参数方程parametric equation相关变化率correlative change rata微分differential可微的differentiable函数的微分differential of function自变量的微分differential of independent variable微商differential quotient间接测量误差indirect measurement error绝对误差absolute error相对误差relative error第三章微分中值定理与导数的应用Chapter3 Mean Value Theorem ofDifferentials and the Application ofDerivatives罗马定理Rolle’s theorem费马引理Fermat’s lemma拉格朗日中值定理Lagrange’s mean value theorem驻点stationary point稳定点stable point 临界点critical point辅助函数auxiliary function拉格朗日中值公式Lagrange’s mean value formula柯西中值定理Cauchy’s mean value theorem 洛必达法则L’Hospital’s Rule0/0型不定式indeterminate form of type 0/0 不定式indeterminate form泰勒中值定理Taylor’s mean value theorem 泰勒公式Taylor formula余项remainder term拉格朗日余项Lagrange remainder term麦克劳林公式Maclaurin’s formula佩亚诺公式Peano remainder term凹凸性concavity凹向上的concave upward, cancave up凹向下的，向上凸的concave downward’ concave down拐点inflection point函数的极值extremum of function极大值local(relative) maximum最大值global(absolute) mximum极小值local(relative) minimum最小值global(absolute) minimum目标函数objective function曲率curvature弧微分arc differential平均曲率average curvature曲率园circle of curvature曲率中心center of curvature曲率半径radius of curvature渐屈线evolute渐伸线involute根的隔离isolation of root隔离区间isolation interval切线法tangent line method第四章不定积分Chapter4 Indefinite Integrals原函数primitive function(anti-derivative)积分号sign of integration被积函数integrand积分变量integral variable积分曲线integral curve积分表table of integrals换元积分法integration by substitution分部积分法integration by parts分部积分公式formula of integration by parts 有理函数rational function真分式proper fraction假分式improper fraction第五章定积分Chapter5 Definite Integrals曲边梯形trapezoid with曲边curve edge窄矩形narrow rectangle曲边梯形的面积area of trapezoid with curved edge积分下限lower limit of integral积分上限upper limit of integral积分区间integral interval分割partition积分和integral sum可积integrable矩形法rectangle method积分中值定理mean value theorem of integrals函数在区间上的平均值average value of a function on an integvals牛顿－莱布尼茨公式Newton-Leibniz formula微积分基本公式fundamental formula of calculus换元公式formula for integration by substitution递推公式recurrence formula反常积分improper integral 反常积分发散the improper integral is divergent反常积分收敛the improper integral is convergent无穷限的反常积分improper integral on an infinite interval无界函数的反常积分improper integral of unbounded functions绝对收敛absolutely convergent第六章定积分的应用Chapter6 Applications of the DefiniteIntegrals元素法the element method面积元素element of area平面图形的面积area of a luane figure直角坐标又称“笛卡儿坐标(Cartesian coordinates)”极坐标polar coordinates抛物线parabola椭圆ellipse旋转体的面积volume of a solid of rotation旋转椭球体ellipsoid of revolution, ellipsoid of rotation曲线的弧长arc length of acurve可求长的rectifiable光滑smooth功work水压力water pressure引力gravitation变力variable force第七章空间解析几何与向量代数Chapter7 Space Analytic Geometry andVector Algebra向量vector自由向量free vector单位向量unit vector零向量zero vector相等equal平行parallel向量的线性运算linear poeration of vector三角法则triangle rule平行四边形法则parallelogram rule交换律commutative law结合律associative law负向量negative vector差difference分配律distributive law空间直角坐标系space rectangular coordinates坐标面coordinate plane卦限octant向量的模modulus of vector向量a与b的夹角angle between vector a and b方向余弦direction cosine方向角direction angle向量在轴上的投影projection of a vector onto an axis数量积，外积，叉积scalar product,dot product,inner product曲面方程equation for a surface球面sphere旋转曲面surface of revolution母线generating line轴axis圆锥面cone顶点vertex旋转单叶双曲面revolution hyperboloids of one sheet旋转双叶双曲面revolution hyperboloids of two sheets柱面cylindrical surface ,cylinder圆柱面cylindrical surface准线directrix抛物柱面parabolic cylinder二次曲面quadric surface 椭圆锥面dlliptic cone椭球面ellipsoid单叶双曲面hyperboloid of one sheet双叶双曲面hyperboloid of two sheets旋转椭球面ellipsoid of revolution椭圆抛物面elliptic paraboloid旋转抛物面paraboloid of revolution双曲抛物面hyperbolic paraboloid马鞍面saddle surface椭圆柱面elliptic cylinder双曲柱面hyperbolic cylinder抛物柱面parabolic cylinder空间曲线space curve空间曲线的一般方程general form equations of a space curve空间曲线的参数方程parametric equations of a space curve螺转线spiral螺矩pitch投影柱面projecting cylinder投影projection平面的点法式方程pointnorm form eqyation of a plane法向量normal vector平面的一般方程general form equation of a plane两平面的夹角angle between two planes点到平面的距离distance from a point to a plane空间直线的一般方程general equation of a line in space方向向量direction vector直线的点向式方程pointdirection form equations of a line方向数direction number直线的参数方程parametric equations of a line两直线的夹角angle between two lines垂直perpendicular直线与平面的夹角angle between a line and a planes平面束pencil of planes平面束的方程equation of a pencil of planes 行列式determinant系数行列式coefficient determinant第八章多元函数微分法及其应用Chapter8 Differentiation of Functions ofSeveral Variables and Its Application一元函数function of one variable多元函数function of several variables内点interior point外点exterior point边界点frontier point,boundary point聚点point of accumulation开集openset闭集closed set连通集connected set开区域open region闭区域closed region有界集bounded set无界集unbounded setn维空间n-dimentional space二重极限double limit多元函数的连续性continuity of function of seveal连续函数continuous function不连续点discontinuity point一致连续uniformly continuous偏导数partial derivative对自变量x的偏导数partial derivative with respect to independent variable x高阶偏导数partial derivative of higher order 二阶偏导数second order partial derivative混合偏导数hybrid partial derivative全微分total differential偏增量oartial increment偏微分partial differential 全增量total increment可微分differentiable必要条件necessary condition充分条件sufficient condition叠加原理superpostition principle全导数total derivative中间变量intermediate variable隐函数存在定理theorem of the existence of implicit function曲线的切向量tangent vector of a curve法平面normal plane向量方程vector equation向量值函数vector-valued function切平面tangent plane法线normal line方向导数directional derivative梯度gradient数量场scalar field梯度场gradient field向量场vector field势场potential field引力场gravitational field引力势gravitational potential曲面在一点的切平面tangent plane to a surface at a point曲线在一点的法线normal line to a surface at a point无条件极值unconditional extreme values条件极值conditional extreme values拉格朗日乘数法Lagrange multiplier method 拉格朗日乘子Lagrange multiplier经验公式empirical formula最小二乘法method of least squares均方误差mean square error第九章重积分Chapter9 Multiple Integrals二重积分double integral可加性additivity累次积分iterated integral体积元素volume element三重积分triple integral直角坐标系中的体积元素volume element in rectangular coordinate system柱面坐标cylindrical coordinates柱面坐标系中的体积元素volume element in cylindrical coordinate system球面坐标spherical coordinates球面坐标系中的体积元素volume element in spherical coordinate system反常二重积分improper double integral曲面的面积area of a surface质心centre of mass静矩static moment密度density形心centroid转动惯量moment of inertia参变量parametric variable第十章曲线积分与曲面积分Chapter10 Line (Curve) Integrals andSurface Integrals对弧长的曲线积分line integrals with respect to arc hength第一类曲线积分line integrals of the first type对坐标的曲线积分line integrals with respect to x,y,and z第二类曲线积分line integrals of the second type有向曲线弧directed arc单连通区域simple connected region复连通区域complex connected region格林公式Green formula第一类曲面积分surface integrals of the first type对面的曲面积分surface integrals with respect to area 有向曲面directed surface对坐标的曲面积分surface integrals with respect to coordinate elements第二类曲面积分surface integrals of the second type有向曲面元element of directed surface高斯公式gauss formula拉普拉斯算子Laplace operator格林第一公式Green’s first formula通量flux散度divergence斯托克斯公式Stokes formula环流量circulation旋度rotation,curl第十一章无穷级数Chapter11 Infinite Series一般项general term部分和partial sum余项remainder term等比级数geometric series几何级数geometric series公比common ratio调和级数harmonic series柯西收敛准则Cauchy convergence criteria, Cauchy criteria for convergence正项级数series of positive terms达朗贝尔判别法D’Alembert test柯西判别法Cauchy test交错级数alternating series绝对收敛absolutely convergent条件收敛conditionally convergent柯西乘积Cauchy product函数项级数series of functions发散点point of divergence收敛点point of convergence收敛域convergence domain和函数sum function幂级数power series幂级数的系数coeffcients of power series阿贝尔定理Abel Theorem收敛半径radius of convergence收敛区间interval of convergence泰勒级数Taylor series麦克劳林级数Maclaurin series二项展开式binomial expansion近似计算approximate calculation舍入误差round-off error,rounding error欧拉公式Euler’s formula魏尔斯特拉丝判别法Weierstrass test三角级数trigonometric series振幅amplitude角频率angular frequency初相initial phase矩形波square wave谐波分析harmonic analysis直流分量direct component基波fundamental wave二次谐波second harmonic三角函数系trigonometric function system傅立叶系数Fourier coefficient傅立叶级数Forrier series周期延拓periodic prolongation正弦级数sine series余弦级数cosine series奇延拓odd prolongation偶延拓even prolongation傅立叶级数的复数形式complex form of Fourier series第十二章微分方程Chapter12 Differential Equation解微分方程solve a differential equation常微分方程ordinary differential equation偏微分方程partial differential equation,PDE 微分方程的阶order of a differential equation 微分方程的解solution of a differential equation 微分方程的通解general solution of a differential equation初始条件initial condition微分方程的特解particular solution of a differential equation初值问题initial value problem微分方程的积分曲线integral curve of a differential equation可分离变量的微分方程variable separable differential equation隐式解implicit solution隐式通解inplicit general solution衰变系数decay coefficient衰变decay齐次方程homogeneous equation一阶线性方程linear differential equation of first order非齐次non-homogeneous齐次线性方程homogeneous linear equation 非齐次线性方程non-homogeneous linear equation常数变易法method of variation of constant 暂态电流transient state current稳态电流steady state current伯努利方程Bernoulli equation全微分方程total differential equation积分因子integrating factor高阶微分方程differential equation of higher order悬链线catenary高阶线性微分方程linear differential equation of higher order自由振动的微分方程differential equation of free vibration强迫振动的微分方程differential equation of forced oscillation串联电路的振荡方程oscillation equation of series circuit二阶线性微分方程second order lineardifferential equation线性相关linearly dependence线性无关linearly independence二阶常系数齐次线性微分方程second order homogeneous linear differential equation with constant coefficient二阶变系数齐次线性微分方程second order homogeneous linear differential equation with variable coefficient特征方程characteristic equation无阻尼自由振动的微分方程differential equation of free vibration with zero damping 固有频率natural frequency 简谐振动simple harmonic oscillation,simple harmonic vibration微分算子differential operator待定系数法method of undetermined coefficient共振现象resonance phenomenon欧拉方程Euler equation幂级数解法power series solution数值解法numerial solution勒让德方程Legendre equation微分方程组system of differential equations常系数线性微分方程组system of linear differential equations with constant coefficientV、X、Z:Value of function ：函数值Variable ：变数Vector ：向量Velocity ：速度Vertical asymptote ：垂直渐近线Volume ：体积X-axis ：x轴x-coordinate ：x坐标x-intercept ：x截距Zero vector ：函数的零点Zeros of a polynomial ：多项式的零点T:Tangent function ：正切函数Tangent line ：切线Tangent plane ：切平面Tangent vector ：切向量Total differential ：全微分Trigonometric function ：三角函数Trigonometric integrals ：三角积分Trigonometric substitutions ：三角代换法Tripe integrals ：三重积分S:Saddle point ：鞍点Scalar ：纯量Secant line ：割线Second derivative ：二阶导数Second Derivative Test ：二阶导数试验法Second partial derivative ：二阶偏导数Sector ：扇形Sequence ：数列Series ：级数Set ：集合Shell method ：剥壳法Sine function ：正弦函数Singularity ：奇点Slant asymptote ：斜渐近线Slope ：斜率Slope-intercept equation of a line ：直线的斜截式Smooth curve ：平滑曲线Smooth surface ：平滑曲面Solid of revolution ：旋转体Space ：空间Speed ：速率Spherical coordinates ：球面坐标Squeeze Theorem ：夹挤定理Step function ：阶梯函数Strictly decreasing ：严格递减Strictly increasing ：严格递增Sum ：和Surface ：曲面Surface integral ：面积分Surface of revolution ：旋转曲面Symmetry ：对称R:Radius of convergence ：收敛半径Range of a function ：函数的值域Rate of change ：变化率Rational function ：有理函数Rationalizing substitution ：有理代换法Rational number ：有理数Real number ：实数Rectangular coordinates ：直角坐标Rectangular coordinate system ：直角坐标系Relative maximum and minimum ：相对极大值与极小值Revenue function ：收入函数Revolution , solid of ：旋转体Revolution , surface of ：旋转曲面Riemann Sum ：黎曼和Riemannian geometry ：黎曼几何Right-hand derivative ：右导数Right-hand limit ：右极限Root ：根P、Q:Parabola ：拋物线Parabolic cylinder ：抛物柱面Paraboloid ：抛物面Parallelepiped ：平行六面体Parallel lines ：并行线Parameter ：参数Partial derivative ：偏导数Partial differential equation ：偏微分方程Partial fractions ：部分分式Partial integration ：部分积分Partiton ：分割Period ：周期Periodic function ：周期函数Perpendicular lines ：垂直线Piecewise defined function 分段定义函数Plane ：平面Point of inflection ：反曲点Polar axis ：极轴Polar coordinate ：极坐标Polar equation ：极方程式Pole ：极点Polynomial ：多项式Positive angle ：正角Point-slope form ：点斜式Power function ：幂函数Product ：积Quadrant ：象限Quotient Law of limit 极限的商定律Quotient Rule ：商定律M、N、O:Maximum and minimum values ：极大与极小值Mean Value Theorem ：均值定理Multiple integrals ：重积分Multiplier ：乘子Natural exponential function 自然指数函数Natural logarithm function 自然对数函数Natural number ：自然数Normal line ：法线Normal vector ：法向量Number ：数Octant ：卦限Odd function ：奇函数One-sided limit ：单边极限Open interval ：开区间Optimization problems ：最佳化问题Order ：阶Ordinary differential equation ：常微分方程Origin ：原点Orthogonal ：正交的L:Laplace transform ：Leplace 变换Law of Cosines ：余弦定理Least upper bound ：最小上界Left-hand derivative ：左导数Left-hand limit ：左极限Lemniscate ：双钮线Length ：长度Level curve ：等高线L'Hospital's rule 洛必达法则Limacon ：蚶线Limit ：极限Linear approximation：线性近似Linear equation ：线性方程式Linear function ：线性函数Linearity ：线性Linearization ：线性化Line in the plane ：平面上之直线Line in space ：空间之直线Lobachevski geometry 罗巴切夫斯基几何Local extremum ：局部极值Local maximum and minimum 局部极大值与极小值Logarithm ：对数Logarithmic function ：对数函数I:Implicit differentiation ：隐求导法Implicit function ：隐函数Improper integral ：瑕积分Increasing/Decreasing Test 递增或递减试验法Increment ：增量Increasing Function ：增函数Indefinite integral ：不定积分Independent variable ：自变数Indeterminate from ：不定型Inequality ：不等式Infinite point ：无穷极限Infinite series ：无穷级数Inflection point ：反曲点Instantaneous velocity ：瞬时速度Integer ：整数Integral ：积分Integrand ：被积分式Integration ：积分Integration by part ：分部积分法Intercepts ：截距Intermediate value of Theorem 中间值定理Interval ：区间Inverse function ：反函数Inverse trigonometric function反三角函数Iterated integral ：逐次积分H:Higher mathematics 高等数学/高数E、F、G、H:Ellipse ：椭圆Ellipsoid ：椭圆体Epicycloid ：外摆线Equation ：方程式Even function ：偶函数Expected Valued ：期望值Exponential Function ：指数函数Exponents , laws of ：指数率Extreme value ：极值Extreme Value Theorem ：极值定理Factorial ：阶乘First Derivative Test ：一阶导数试验法First octant ：第一卦限Focus ：焦点Fractions ：分式Function ：函数Fundamental Theorem of Calculus ：微积分基本定理Geometric series ：几何级数Gradient ：梯度Graph ：图形Green Formula ：格林公式Half-angle formulas ：半角公式Harmonic series ：调和级数Helix ：螺旋线Higher Derivative ：高阶导数Horizontal asymptote ：水平渐近线Horizontal line ：水平线Hyperbola ：双曲线Hyper boloid ：双曲面D:Decreasing function ：递减函数Decreasing sequence ：递减数列Definite integral ：定积分Degree of a polynomial ：多项式之次数Density ：密度Derivative ：导数of a composite function ：复合函数之导数of a constant function ：常数函数之导数directional ：方向导数domain of ：导数之定义域of exponential function ：指数函数之导数higher ：高阶导数partial ：偏导数of a power function ：幂函数之导数of a power series ：羃级数之导数of a product ：积之导数of a quotient ：商之导数as a rate of change ：导数当作变率right-hand ：右导数second ：二阶导数as the slope of a tangent 导数看成切线之斜率Determinant ：行列式Differentiable function 可导函数Differential ：微分Differential equation ：微分方程partial ：偏微分方程Differentiation ：求导法implicit ：隐求导法partial ：偏微分法term by term ：逐项求导法Directional derivatives ：方向导数Discontinuity ：不连续性Disk method ：圆盘法Distance ：距离Divergence ：发散Domain ：定义域Dot product ：点积Double integral ：二重积分change of variable in二重积分之变数变换in polar coordinates ：极坐标二重积分C:Calculus ：微积分differential ：微分学integral ：积分学Cartesian coordinates ：笛卡儿坐标一般指直角坐标Cartesian coordinates system 笛卡儿坐标系Cauch’s Mean Value Theorem 柯西均值定理Chain Rule ：连锁律Change of variables ：变数变换Circle ：圆Circular cylinder ：圆柱Closed interval ：封闭区间Coefficient ：系数Composition of function ：函数之合成Compound interest ：复利Concavity ：凹性Conchoid ：蚌线Cone ：圆锥Constant function ：常数函数Constant of integration ：积分常数Continuity ：连续性at a point ：在一点处之连续性of a function ：函数之连续性on an interval ：在区间之连续性from the left ：左连续from the right ：右连续Continuous function ：连续函数Convergence ：收敛interval of ：收敛区间radius of ：收敛半径Convergent sequence ：收敛数列series ：收敛级数Coordinate：s：坐标Cartesian ：笛卡儿坐标cylindrical ：柱面坐标polar ：极坐标rectangular ：直角坐标spherical ：球面坐标Coordinate axes ：坐标轴Coordinate planes ：坐标平面Cosine function ：余弦函数Critical point ：临界点Cubic function ：三次函数Curve ：曲线Cylinder：圆柱Cylindrical Coordinates ：圆柱坐标A、B:Absolute convergence ：绝对收敛Absolute extreme values ：绝对极值Absolute maximum and minimum 绝对极大与极小Absolute value ：绝对值Absolute value function ：绝对值函数Acceleration ：加速度Antiderivative ：反导数Approximate integration ：近似积分Approximation ：逼近法by differentials ：用微分逼近linear ：线性逼近法by Simpson’s Rule ：Simpson法则逼近法by the Trapezoidal Rule 梯形法则逼近法Arbitrary constant ：任意常数Arc length ：弧长Area ：面积under a curve ：曲线下方之面积between curves ：曲线间之面积in polar coordinates ：极坐标表示之面积of a sector of a circle ：扇形之面积of a surface of a revolution 旋转曲面之面积Asymptote ：渐近线horizontal ：水平渐近线slant ：斜渐近线vertical ：垂直渐近线Average speed ：平均速率Average velocity ：平均速度Axes, coordinate ：坐标轴Axes of ellipse ：椭圆之轴Binomial series ：二项级数微积分专有名词中英文对照absolutely convergent 绝对收敛absolute value 绝对值algebraic function 代数函数analytic geometry 解析几何antiderivative 不定积分approximate integration 近似积分approximation 近似法、逼近法arbitrary constant 任意常数arithmetic series/progression (AP)算数级数asymptotes (vertical and horizontal)(垂直/水平)渐近线average rate of change 平均变化率base 基数binomial theorem 二项式定理，二项展开式Cartesian coordinates 笛卡儿坐标(一般指直角坐标)Cartesian coordinates system 笛卡儿坐标系Cauch’s Mean Value Theorem 柯西均值定理chain rule 链式求导法则calculus 微积分学closed interval integral 闭区间积分coefficient 系数composite function 复合函数conchoid 蚌线continuity (函数的)连续性concavity (函数的)凹凸性conditionally convergent 有条件收敛continuity 连续性critical point 临界点cubic function 三次函数cylindrical coordinates 圆柱坐标decreasing function 递减函数decreasing sequence 递减数列definite integral 定积分derivative 导数determinant 行列式differential coefficient 微分系数differential equation 微分方程directional derivative 方向导数discontinuity 不连续性discriminant (二次函数)判别式disk method 圆盘法divergence 散度divergent 发散的domain 定义域dot product 点积double integral 二重积分ellipse 椭圆ellipsoid 椭圆体epicycloid 外摆线Euler's method (BC)欧拉法expected valued 期望值exponential function 指数函数extreme value heorem 极值定理factorial 阶乘finite series 有限级数fundamental theorem of calculus 微积分基本定理geometric series/progression (GP)几何级数gradient 梯度Green formula 格林公式half-angle formulas 半角公式harmonic series 调和级数helix 螺旋线higher derivative 高阶导数horizontal asymptote 水平渐近线horizontal line 水平线hyperbola 双曲线hyper boloid 双曲面implicit differentiation 隐函数求导implicit function 隐函数improper integral 广义积分、瑕积分increment 增量increasing function 增函数indefinite integral 不定积分independent variable 自变数inequality 不等式ndeterminate form 不定型infinite point 无穷极限infinite series 无穷级数infinite series 无限级数inflection point (POI) 拐点initial condition 初始条件instantaneous rate of change 瞬时变化率integrable 可积的integral 积分integrand 被积分式integration 积分integration by part 分部积分法intercept 截距intermediate value of Theorem ：中间值定理inverse function 反函数irrational function 无理函数iterated integral 逐次积分Laplace transform 拉普拉斯变换law of cosines 余弦定理least upper bound 最小上界left-hand derivative 左导数left-hand limit 左极限L'Hospital's rule 洛必达法则limacon 蚶线linear approximation 线性近似法linear equation 线性方程式linear function 线性函数linearity 线性linearization 线性化local maximum 极大值local minimum 极小值logarithmic function 对数函数MacLaurin series 麦克劳林级数maximum 最大值mean value theorem (MVT)中值定理minimum 最小值method of lagrange multipliers 拉格朗日乘数法modulus 绝对值multiple integral 多重积分multiple 倍数multiplier 乘子octant 卦限open interval integral 开区间积分optimization 优化法，极值法origin 原点orthogonal 正交parametric equation (BC)参数方程partial derivative 偏导数partial differential equation 偏微分方程partial fractions 部分分式piece-wise function 分段函数parabola 抛物线parabolic cylinder 抛物柱面paraboloid ：抛物面parallelepiped 平行六面体parallel lines 并行线parameter ：参数partial integration 部分积分partiton ：分割period ：周期periodic function 周期函数perpendicular lines 垂直线piecewise defined function 分段定义函数plane 平面point of inflection 反曲点point-slope form 点斜式polar axis 极轴polar coordinates 极坐标polar equation 极坐标方程pole 极点polynomial 多项式power series 幂级数product rule 积的求导法则quadrant 象限quadratic functions 二次函数quotient rule 商的求导法则radical 根式radius of convergence 收敛半径range 值域(related) rate of change with time (时间)变化率rational function 有理函数reciprocal 倒数remainder theorem 余数定理Riemann sum 黎曼和Riemannian geometry 黎曼几何right-hand limit 右极限Rolle's theorem 罗尔(中值)定理root 根rotation 旋转secant line 割线second derivative 二阶导数second derivative test 二阶导数试验法second partial derivative 二阶偏导数series 级数shell method (积分)圆筒法sine function 正弦函数singularity 奇点slant 母线slant asymptote 斜渐近线slope 斜率slope-intercept equation of a line 直线的斜截式smooth curve 平滑曲线smooth surface 平滑曲面solid of revolution 旋转体symmetry 对称性substitution 代入法、变量代换tangent function 正切函数tangent line 切线tangent plane 切(平)面tangent vector 切矢量taylor's series 泰勒级数three-dimensional analytic geometry 空间解析几何total differentiation 全微分trapezoid rule 梯形(积分)法则。

数学术语的英汉对照

assertion 断语; 断定
associative law 结合律
assumed mean 假定平均数
assumption 假定；假设
asymmetrical 非对称
asymptote 渐近 as Nhomakorabeamptotic error constant 渐近误差常数
at rest 静止
augmented matrix 增广矩阵
angle between a line and a plane 直与平面的交角
angle between two planes 两平面的交角
angle bisection 角平分
angle bisector 角平分线；分角线
angle in the alternate segment 交错弓形的圆周角
algebraic operation 代数运算
algebraically closed 代数封闭
algorithm 算法系统; 规则系统
alternate angle （交）错角
alternate segment 内错弓形
alternating series 交错级数
alternative hypothesis 择一假设; 备择假设; 另一假设
axis of revolution 旋转轴
axis of rotation 旋转轴
axis of symmetry 对称轴
back substitution 回代
bar chart 棒形图；条线图；条形图；线条图
base （1）底；（2）基；基数
base angle 底角
base area 底面

数学名词中英译对照表（高中以下）

数学名词中英译对照表（高中以下）英文名稱中文名稱abscissa 橫坐標absolute deviation 絕對偏差absolute extremum 絕對極值absolute inequality 絕對不等式absolute maximum 最大值；絕對極大值absolute minimum 最小值；絕對極小值absolute value 絕對值absolutely extreme value 絕對極值acceleration 加速度acute angle 銳角addend 加數addition 加法addition formula 加法公式addition of vectors 向量加法addition principle 加法原理additive inverse 加法反元素adjacent side 鄰邊algebra 代數學；代數algorithm 演算法；算則amplitude 幅度；輻角amplitude of vibration 振幅analytic geometry 解析幾何[學]angle 角angle in standard position 標準位置角angle of depression 俯角angle of elevation 仰角angle of inclination 傾角；斜角angular bisector 角平分線；分角線annual rate of interest 年利率antilogarithm 真數approximate value 近似值arc length 弧長area function 面積函數argument 輻角；自變數；論證arithmetic average 算術平均數；算術平均值；等差中項arithmetic mean 算術平均數；算術平均值；等差中項arithmetic progression 等差數列；算術數列arithmetic sequence 等差數列；算術數列arithmetic series 算術級數；等差級數arithmetic-geometric mean inequality 算幾不等式arrangement in ascending power 升冪排列；升次排列arrangement in descending power 降冪排列；降次排列ascending power 升冪associative law 結合律associative law of addition 加法結合律associative law of multiplication 乘法結合律asymptote 漸近線asymptotic line 漸近線augmented matrix 增廣矩陣average 平均average rate of change 平均變化率average velocity 平均速度axiom 公理；公設axiom of parallel 平行公設；平行公理axis 軸axis of abscissa 橫坐標軸axis of ordinate 縱坐標軸axis of symmetry 對稱軸azimuth 方位bar graph 長條圖base 底[邊]；基[數]；基底base number 底數Bayes theorem 貝氏定理Bernoulli trial Bernoulli試探binomial 二項式binomial coefficient 二項式係數binomial distribution 二項分布；二項分配binomial theorem 二項式定理bisector of an angle 角平分線；分角線broken line graph 折線圖cancellation law of addition 加法消去律cancellation law of multiplication 乘法消去律capacity 容量Cartesian coordinates 笛卡兒坐標Cartesian product 笛卡兒積Cauchy inequality 柯西不等式census 普查center 中心center of circle 圓心center of sphere 球心centimeter 公分central angle 圓心角certain event 必然事件chain rule 連鎖律；連鎖規則characteristic 特徵的；特性的；示性的；特徵數；示性數characteristic of logarithm 對數的首數chord 弦circle 圓circle of Apollonius Apollonius圓circular conical surface 圓錐面circular cylinder 圓柱circular measure 弧度法；弳量法circular permutation 環狀排列circulating decimal 循環小數circumference of circle 圓周circumradius 外接圓半徑class interval 類區間；組距class limit 組限；組距class midpoint 組中點clockwise 順時針的clockwise direction 順時針方向closed interval 閉區間closure property 封閉性cluster sampling 群落抽樣；群體抽樣codomain 對應域coefficient 係數cofactor 餘因子coincidence 重合column 行column matrix 行矩陣combination 組合；配合common difference 公差common factor 公因子；公因數；公因式common logarithm 常用對數common multiple 公倍數；公倍式common ratio 公比commutative law 交換律commutative law of addition 加法交換律commutative law of multiplication 乘法交換律complement 餘；補；補碼；補數；餘補complement angle 餘角complement identity 餘角恆等式complement relation 餘角關係[式] complementary angle 餘角complementary event 餘事件complementary set 餘集[合]completing the square 配方[法]complex conjugate 共軛複數complex fraction 繁分數；繁分式complex number 複數complex plane 複數平面component 分量；連通[分]支；連通區composite function 合成函數composite number 合數compound interest 複利compound number 複名數concave downward 凹口向下concave upward 凹口向上concavity 凹性conditional inequality 條件不等式conditional probability 條件機率cone 錐；錐面confidence interval 信賴區間confidence level 信心水準congruence 同餘；疊合；全等；線匯conic section 圓錐截痕conjugate axis 共軛軸conjugate complex number 共軛複數conjugate hyperbola 共軛雙曲線conjugate hyperbola 共軛雙曲線consistent equations 相容方程[組] consistent system of equations 相容方程組constant function 常數函數constant term 常數項contingency table 列聯表continuous data 連續數據continuous function 連續函數convergence 收斂convergent sequence 收斂序列；收斂數列convergent series 收斂級數coordinate 坐標coordinate axis 坐標軸coordinate plane 坐標平面coordunate representation 坐標表示法coprime 互質correlation coefficient 相關係數cosecant 餘割cosecant function 餘割函數cosine 餘弦cotangent 餘切cotangent function 餘切函數coterminal angles 同界角counterclockwise 逆時針的counterclockwise direction 逆時針方向Cramer's formula 克拉瑪公式Cramer's rule 克拉瑪法則critical point 臨界點critical value 臨界值cross analysis 交叉分析cross product 叉積；向量積；外積cube 立方；立方體cubic root 立方根cubic 三次的cuboid 長方體cumulative frequency 累積次數；累積頻率cumulative frequency curve 累積次數曲線cumulative frequency distribution 累積次數分配cumulative relative frequency 累積相對次數cumulative relative frequency polygon 累積相對次數折線圖cylinder 柱；柱面data 資料；數據De Moivre formula 棣美弗公式De Morgan law 笛摩根法則decimal 小數；十進制小數decimal point 小數點definite integral 定積分degree 次[數]；度[數]degree measure 角度[法]denominator 分母denseness 稠密性density 密度；稠密性dependent events 相依事件dependent system of equations 相依方程組dependent variable 應變數；依變數；因變數；應變量derivative 導數derivatives of higher order 高階導數descending power 降冪descriptive statistics 敘述統計[學]determinant 行列式determinant of order n n階行列式determinantal expansion 行列式的展開式deviation 偏差diameter 直徑difference 差；差分difference of events 差事件difference set 差集differentiable function 可微[分]函數differentiable 可微[分]的digit 數字dihedral angle 二面角direct proof 直接證明directed angle 有向角directed line segment 有向線段direction 方向direction angle 方向角direction cosine 方向餘弦direction vector 方向向量directrix 準線discrete data 離散數據discreteness of integers 整數的離散性discriminant 判別式disjoint events 分離事件disk method; disc method 圓盤法displacement 位移distance 距離distance formula 距離公式distributive law 分配律divergence 發散[性]；散度；發散量divergent sequence 發散序列divergent series 發散級數dividend 被除數；被除式division 除[法]division algorithm 除法算則；長除法divisor 因子；因式；因數；除數domain [區]域；定義域domain of definition 定義域domain of function 函數的定義域double angle formula 倍角公式double root 二重根edge 稜；邊element 元素elementary event 基本事件elimination by addition or subtraction 加減消去法elimination by comparison 比較消去法elimination by substitution 代入消去法ellipse 橢圓empty set 空集equation 方程[式]equation of line 直線方程式equation of sphere 球面方程式equation of tangent line 切線方程式equator 赤道equilateral hyperbola 等軸雙曲線equilateral triangle 等邊三角形；正三角形Euclid(約330-275B.C) 歐幾里得Euclidean algorithm 輾轉相除法；歐幾里得算法；歐氏算法Euclidean geometry 歐氏幾何[學]even function 偶函數even number 偶數event 事件exclusive 互斥[的]expectation 期望值expected value 期望值experiment 試驗；實驗exponential function 指數函數exponential law 指數律exponent 指數；指標exterior 外部；外部的exterior angle 外角extreme value 極值factor 因數；因式；因子；因素；商factor theorem 因式定理factorial 階乘；析因factorization 因子分解；因式分解feasible region 可行解區域feasible solution 可行解；容許解Fermat theorem 費馬定理finishing point 終點finite decimal 有限小數finite sequence 有限序列；有限數列finite series 有限級數finite set 有限集first octant 第一卦限first quartile 第一四分位數first term 首項focal chord 焦弦focal length 焦距focal radius 焦半徑focus 焦點formula of changing bases 換底公式formula of inner division point 內分點公式formula of outer division point 外分點公式four fundamental operations of arithmetic 算術四則運算fraction 分數；分式fraction in lowest term 最簡分數frequency distribution 次數分布；次數分配function 函數；功能；作用functional value 函數值fundamental theorem of algebra 代數基本定理fundamental theorem of calculus 微積分基本定理Gaussian elimination 高斯消去法Gaussian function 高斯函數Gaussian plane 高斯平面general term 通項；一般項generalized angle 廣義角generating line 生成線；母線geometric mean 幾何平均數；幾何平均值；等比中項geometric progression 等比數列geometric sequence 等比數列geometric series 幾何級數；等比級數gram 公克graph of function 函數圖形great circle of sphere 球的大圓greater than 大於greatest common divisor 最大公因子；最大公因數greatest common factor 最大公因子；最大公因數guadrant angle 象限角half angle formula 半角公式half line 半[直]線；射線Heron formula 海龍公式highest common factor 最高公因式histogram 直方圖horizontal asymptote 水平漸近線horizontal line 水平線hyperbola 雙曲線hypotenuse 斜邊identity matrix 單位方陣；單位矩陣image 像點；像；鏡像imaginary circle 虛圓imaginary number 虛數imaginary part 虛部imaginary root 虛根imaginary unit 虛數單位impossible event 不可能事件incenter 內心inclination 傾角；斜角inclusion-exclusion principle 取捨原理；排容原理inconsistent system of equations 矛盾方程組increasing 遞增increasing function 遞增函數independent events 獨立事件independent variable 自變量；自變數independent 獨立indeterminate 不確定；未定元indirect proof 間接證明inequality 不等式inferential statistics 推論統計infinite sequence 無窮序列；無窮數列infinite series 無窮級數infinite set 無限集infinity 無窮；無限大inflection point 反曲點；拐點initial point [起]始點initial side of angle 角的始邊inner division point 內分點inner product 內積inner product formula 內積公式inradius 內切圓半徑instantaneous rate of change 瞬時變化率instantaneous velocity 瞬時速度integer 整數integral sign 積分符號integrand 被積分函數；被積分式intercept 截距intercept form 截距式interest rate 利率interior 內部interior angle 內角intermediate value theorem 中間值定理internal point of division 內分點interpolation 插值[法]；內插[法] interpolation polynomial 插值多項式interquartile range 四分位[數間]距intersection 相交；交集interval 區間inverse function 反函數inverse matrix 逆方陣；反矩陣inverse vector 反向量；逆向量irrational number 無理數irreducible fraction 最簡分數kilogram 公斤Lagrange interpolation formula Lagrange插值公式Lagrange interpolation polynomial Lagrange插值多項式Laplace classical probability Laplace古典機率Laplace probability Laplace機率last term 末項latitude 緯度latus rectum 正焦弦law of cosines 餘弦定律law of exponent 指數律law of logarithm 對數律law of sine; sine law 正弦定律leading coefficient 領導係數；首項係數leading term 首項least common multiple 最小公倍數least squares method 最小平方法left handed limit 左極限left limit 左極限left-hand limit 左極限length 長度length of tangent 切線的長；切距Leonhard Euler(1707-1783) 尤拉less than cumulative frequency distribution 以下累積次數分布；以下累積次數分配limit 極限line 線；直線line of intersection 交線line permutation 直線排列linear arrangement 直線排列linear correlation 線性相關；直線相關linear function 線性函數；一次函數；線型函數linear inequality 線性不等式linear interpolation 線性插值[法]linear programming 線性規劃liter 公升local maximum [局部]極大[值]local minimum [局部]極小[值]logarithmic function 對數函數logarithm 對數logic 理則學；邏輯[學]long division 長除法longitude 經度lower limit 下極限lower sum 下和main diagonal 主對角線major axis 長軸mantissa 尾數marginal cost 邊際成本mathematical expectation 數學期望值mathematical induction 數學歸納法matrix 矩陣matrix of coefficients 係數矩陣maximal value 最大[值] ；極大[值] maximum 最大[值] ；極大[值]maximum value 最大[值] ；極大[值]mean 平均；平均值；平均數mean value theorem 均值定理median 中位數；中線meter 公尺method of detached coefficients 分離係數法method of least squares 最小平方法method of slicing 切片法mid-point 中點mid-point method 中點法middle point 中點midpoint formula 中點公式milliliter 公撮；毫升millimeter 毫米minimal value 最小[值]；極小[值]minimum 最小[值]；極小[值]minimum value 最小[值]；極小[值]minor axis 短軸minuend 被減數minus 減；負的minus sign 減號；負號minute 分mode 衆數；方式modulus 模；模數；絕對值；尺度monomial 單項式；單項的more than cumulative frequency distribution 以上累積次數分布；以上累積次數分配multiple 倍數；倍式；多重multiplicand 被乘數；被乘式multiplication 乘法multiplication rule 乘法原理；乘法法則multiplier 乘數；乘式；乘子multiplier rule 乘數法則multivariate polynomial 多元多項式mutually exclusive event 互斥事件n-th root n次方根natural logarithm 自然對數natural number 自然數negative angle identity 負角關係式negative angle 負角negative correlation 負相關negative integer 負整數Newton's method 牛頓法Newton's rational root theorem 牛頓有理根判別定理Newton, Isaac(1643-1727) 牛頓Niels Hernik Abel(1802-1829) 阿貝爾nonnegative integer 非負整數normal curve 正規曲線normal distribution 常態分布；常態分配normal form 範式；正規形式；法線式normal line 法線normal vector 法向量null vector 零向量number line 數線numerator 分子objective function 目標函數octant 卦限odd function 奇函數odd number 奇數ogive curve 肩形曲線one-to-one correspondence 一對一對應open interval 開區間opposite side 對邊optimal solution 最佳解optimization problem 最佳化問題ordered pair 有序偶；[有序]數對ordinal 順序的；序數ordinate 縱[坐]標origin 原點orthogonal 正交；直交orthogonal projection 正[交]射影parabola 拋物線parallel 平行parallel axiom 平行公設；平行公理parallelogram law 平行四邊形定律parallelogram theorem 平行四邊形定理parameter 參數；參變量parametric equation 參數方程[式]parametric equation of line 直線參數式partition 分割Pascal triangle 巴斯卡三角形Pascal, Blaise ( 1623-1662 ) 巴斯卡percentile rank 百分等級periodic decimal 循環小數periodic function 週期函數period 週期permutation 排列；置換perpendicular 垂直[於]pie chart 圓形圖plane 平面plane rectangular coordinate system 平面直角坐標系plus 加；加號；正的plus sign 加號；正號point 點point circle 點圓point of inflection(inflexion) 反曲點；拐點point of reference 參考點；基準點point of tangency 切點point slope form 點斜式polar axis 極軸polar coordinates 極坐標polar form 極式polynomial 多項式polynomial function 多項式函數polynomial in one variable 單變數多項式；一元多項式polynomial of degree zero 零次多項式polynomial of higher degree 高次函數polynomial of interpolation 插值多項式polynomial with integer coefficients 整係數多項式population 母體population parameter 母體參數population size 母體大小population standard deviation 母體標準差population variance 母體變異數position vector 位置向量positive angle 正角positive correlation 正相關positive integer 正整數power [乘]冪；次方；功率power function 冪函數；檢定力函數prime 質；質式；質數prime factor 質因子；質因數；質因式prime number 質數principal argument 主輻角principle of inclusion and exclusion 取捨原理；排容原理probability 機率probability distribution 機率分布；機率分配product set 積集合projection 射影；射影算子；投影pure imaginary number 純虛數pyramid 稜錐[體]；角錐[體]Pythagoras 畢達哥拉斯Pythagorean identity 平方關係式；平方恆等式Pythagorean theorem 畢氏定理（商高定理；勾股定理）quadrangular pyramid 四角錐quadrant 象限quadrant angle 象限角quadratic function 二次函數quadratic inequality 二次不等式qualitative data 定性數據quantitative data 定量數據quartile 四分位數quartile range 四分位距quotient 商[數]；商式quotient identity 商數關係式；商數恆等式quotient relation 商數關係式radian 弧度；弳[度]radian measure 弧度；弧度法radian system 弧度制；弳度制radical 根數；根式；根基radius 半徑random experiment 隨機試驗random numbers table 亂數表；隨機號碼表random variable 隨機變數range 區域；範圍；值域；全距range of values 值域ratio of the circumference of a circle to its圓周率；πdiameterrational exponent 有理指數rational number 有理數rational point 有理點rational root 有理根ray 射線real number 實數real part 實部reciprocal identity 倒數關係式；倒數恆等式reciprocal relation 倒數關係rectangle 長方形；矩形rectangular Cartesian coordinates 直角坐標rectangular coordinates 直角坐標rectangular parallelopiped 長方體recurrence formula 遞迴公式recurring period 循環節recursion formula 遞迴公式recursive relation 遞迴關係reference angle 參考角regression line 迴歸線regular parabolic arch 正拋物線拱形regular tetrahedron 正四面體relative extremum 相對極值relative frequency polygon 相對次數折線圖relative maximum 相對極大[值]relative maximum value 相對極大[值]relative minimum 相對極小[值]relative minimum value 相對極小[值]relatively prime 互質remainder 餘數；餘式；餘項；剩餘remainder theorem 餘式定理Rene Descartes 笛卡兒repeated combination 重複組合repeated permutation 重複排列repeated root 重根repeated systematic sampling 重複系統抽樣repeating decimal 循環小數representation in coordinates 坐標表示[法] resonance 共鳴；共振resultant force 合力Riemann sum 黎曼和right angle 直角right cone 正圓錐right cylinder 正圓柱面right dihedral angle 直二面角right handed limit 右極限right limit 右極限right triangle 直角三角形right-hand limit 右極限root 根row 列row matrix 列矩陣row operation 列運算rule 法[則]；規則；律rule of addition 加法原理rule of total probability 全機率法則ruler 直尺sample 樣本sample mean 樣本平均數[值]sample point 樣本點sample size 樣本大小sample space 樣本空間sample standard deviation 樣本標準差sample survey 樣本調查sample variance 樣本變異數sampling 抽樣scalar 純量scalar multiplication 純量乘法；係數積scatter diagram 散布圖scientific notation 科學記法；科學記號secant 正割；割線secant function 正割函數secant line 割線second 秒second quartile 第二四分位數sector 扇形series 級數series of decreasing powers 降冪級數set 集[合] sexagesimal system 六十進位制side 邊；側sign of equality 等號significant figure 有效數[字]similar triangles 相似三角形simple random sampling 簡單隨機抽樣simple root 單根sine 正弦sine function 正弦函數skew lines 歪斜線skew matrix 反對稱矩陣；斜矩陣skew symmetric matrix 斜對稱方陣slope 斜率slope function 斜率函數slope intercept form 斜截式slope-intercept form 斜截式smaller than 小於smooth curve 平滑曲線solid cone 立體錐；錐體solid of revolution 迴轉體；旋轉體solid sphere 實心球south pole 南極space 空間。

数学常用词汇中英文对照

数学常用词汇中英文对照代数部分1、有关基本运算：add，plus加subtract减difference差multiply,times乘product积divide除divisible可被整除的dividedevenly被整除dividend被除数divisor因子，除数quotient商remainder余数factorial阶乘power乘方radicalsign,rootsign根号roundto四舍五入tothenearest四舍五入2。

有关集合union并集proper subset真子集solution set解集3。

有关代数式、方程和不等式algebraic term代数项like terms，similar terms同类项numerical coefficient数字系数literal coefficient字母系数inequality不等式triangle inequality三角不等式range值域original equation原方程equivalent equation同解方程等价方程linear equation线性方程4。

有关分数和小数proper fraction真分数improper fraction假分数mixed number带分数vulgar fraction，common fraction普通分数simple fraction简分数complex fraction繁分数numerator分子denominator分母（least）common denominator(最小）公分母quarter四分之一decimal fraction纯小数infinite decimal无穷小数recurring decimal循环小数tenthsunit十分位5。

基本数学概念arithmetic mean算术平均值weighted average加权平均值geometric mean几何平均数exponent指数，幂base乘幂的底数，底边cube立方数，立方体square root平方根cube root立方根common logarithm常用对数digit数字constant常数variable变量inversefunction反函数complementary function余函数linear一次的，线性的factorization因式分解absolute value绝对值，round off四舍五入6。

高中数学术语(中英文)

几何-坐标
arm /leg直角三角形的直角边 hypotenuse 斜边 included side 夹边 Pythagorean theorem 勾股定理 median（三角形的）中线 base底边，底数 opposite 直角三角形中的对边 vertex (复数形式vertices)顶点 midpoint 中点 endpoint 端点 coordinate system 坐标系 Rectangular/Cartesian coordinate 直角坐标系 origin 原点 abscissa 横坐标 ordinate 纵坐标 number line 数轴 quadrant 象限 slope 斜率 transversal 截线 intercept 截距
代数-方程,集合,数列等
algebraic term 代数项 like terms, similar terms 同类项 numerical coefficient 数字系数 literal coefficient 字母系数 inequality 不等式 triangle inequality 三角不等式 domain 定义域 range 值域 original equation 原方程 approximate 近似 (counter) clockwise (逆) 顺时针方向 direct proportion 正比 reverse proportion 反比 parentheses 园括号 Bracket 中括号 Curly brace/curved bracket 花括号 proportion 等比例
代数-基本数Βιβλιοθήκη 概念arithmetic mean 算术平均值 weighted average 加权平均值 geometric mean 几何平均数 exponent 指数 base 底数,底边 cube 立方数，立方体 square root 平方根 cubic root 立方根 common logarithm 常用对数 cardinal 基数 ordinal 序数 constant 常数 variable 变量 inverse function 反函数 linear 一次的，线性的 factorization 因式分解 absolute value 绝对值 round to/off ,to the nearest 四舍五入 difference 差 product 积 quotient 商 divisor 除数 Dividend 被除数 remainder 余数

数学常用词汇中英文对照

数学常用词汇中英文对照代数部分1、有关基本运算：add，plus 加subtract 减difference 差multiply,times 乘product 积divide 除divisible 可被整除的dividevenly 被整除dividend 被除数divisor 因子，除数quotient 商remainder 余数factorial 阶乘power 乘方radicalsign,rootsign 根号roundto 四舍五入tothenearest 四舍五入有关集合2. 20 1/union 并集proper subset 真子集solution set 解集3.有关代数式、方程和不等式algebraic term 代数项like terms,similar terms 同类项numerical coefficient 数字系数literal coefficient 字母系数inequality 不等式triangle inequality 三角不等式range 值域original equation 原方程equivalent equation 同解方程等价方程linear equation 线性方程 4.有关分数和小数proper fraction 真分数improper fraction 假分数数学常用词汇中英文对照mixed number 带分数numerator 分子2 / 20分母denominator 纯小数decimal fraction infinite decimal 无穷小数recurring decimal 循环小数tenthsunit 十分位5.基本数学概念arithmetic mean 算术平均值weighted average 加权平均值geometric mean 几何平均数exponent 指数，幂,底边乘幂的底数basexx cube 立方数，square rootxx cube rootxx数字digit 常数constant variable 变量inversefunction 反函数linear一次的，线性的因式分解factorization absolute value 绝对值，203/round off 四舍五入6. 有关数论natural number 自然数positive number 正数negative number 负数odd integer,odd number 奇数eve n in teger,eve n nu mber 偶数integer,whole nu mber 整数positive whole number 正整数negative whole number 负整数con secutive nu mber 连续整数realnumber,rational number 实数,有理数irrational(number) 无理数inverse 倒数prime number 质数reciprocal 倒数multiple 倍数(prime)factor(质)因子ordi naryscale,decimalscale 十进制nonn egative 非负的tens十位4 / 20units 个位mode 众数median 中数7. 数列arithmetic progressi on( seque nee等差数歹U geometric progressi on( seque nee等比数歹U8. 其它approximate 近似(an ti)clockwise(逆)顺时针方向cardinal 基数ordinal 序数directproportion 正比distinct 不同的estimation 估计，近似parenthes 括号proportion 比例permutation 排列table 表格trigonometric function 三角函数unit 单位,位5 / 20几何部分1. 所有的角alternate angle 内错角corresp onding an gle 同位角vertical an gle 对顶角数学常用词汇中英文对照central an gle圆心角interior angle 内角exterior angle 外角suppleme nt aryan gles 补角adjacent angle 邻角acute angle 锐角obtuse angle 钝角right angle 直角round angle 周角straight angle 平角included angle 夹角2. 所有的三角形equilateral triangle 等边三角形scalene triangle 不等边三角形isosceles tria ngle 等腰三角形right trianglexx6 / 20oblique 斜三角形inscribed triangle 内接三角形3. 有关收敛的平面图形，除三角形外semicircle 半圆concen tric circles 同心圆quadrilateral 四边形pentagon 五边形hexagon 六边形heptagon 七边形octagon 八边形nonagonxx形decagon 十边形polygon 多边形parallelogram 平行四边形equilateral 等边形plane 平面square 正方形，平方rectangle 长方形regular polygon 正多边形rhombus 菱形trapezoid 梯形4. 其它平面图形7 / 20arc 弧line,straight line 直线line segment 线段parallel lines 平行线segme nt of a circle 弧形5. 有关立体图形cubexx，立方数rectangular solid 长方体regular solid/regular polyhedron 正多面体circular cylinder 圆柱体cone 圆锥sphere 球体solid 立体的6. 有关图形上的附属物altitude 高depthxx side 边长circumference,perimeter 周长radian 弧度surface area 表面积volume 体积8 / 20的股armxx 横截面cros ssection 圆心center of acircle chord 弦radius 半径angle bisector角平分线diagonal 对角线diameter 直径棱edge 立体的面face of a solid 斜边hypotenuse 夹边included side 三角形的直角边leg 三角形的中线medianofatriangle 底边，底数base 中的对边oppositexx 中点midpoint endpoint 端点vertices）顶点vertex （复数形式切线的tangent transversal 截线209/intercept 截距数学常用词汇中英文对照7. 有关坐标coordinate system 坐标系rectangular coordinate 直角坐标系origin 原点abscissa横坐标ordinate 纵坐标numberline 数轴quadrant 象限slope 斜率8. 其它plane geometry 平面几何trigonometry 三角学bisect 平分circumscribe 外切inscribe 内切intersect 相交perpendicular 垂直pythagorean theorem 勾股定理congruent 全等的10 / 20multilateral多边的、单位类1 cent美分penny—美分硬币nickel5 美分硬币dime 一角硬币打（12个）dozen个score廿（20摄氏Centigrade Fahrenheitxx quart夸脱（1gallon=4quart）加仑gallon 码yard米meter微米micron英寸inch foot英尺度角度的度量单位，minute 分（60 分=1）squaremeasure平方单位制cubicmeter 立方米）品脱pint（干量或液量的单位2•有关文字叙述题，主要是有关商业11 / 20（366 天）intercalaryyear（leapyear）闰年depreciation 折旧down payment 直接付款discount 打折margin 利润profit 利润interest 利息simple in terest 单利U divide nd 红利Udecrease to 减少至U decrease by 减少了in crease to 增加至U in crease by 增加了denote 表示list price 标价markup y张价per capita 每人ratio 比率零售价retail pricetie打平集合与简易逻辑12 / 20集合（集）set非负整数集thesetofallnon-negativein tegers自然数集the set of all natural numbers整数集the set of all integers有理数集the set of all rational numbers 实数集the set of all real numbers 元素element 属于belong to 不属于not belong to 有限集finite set 无限集infinite set 空集empty set 包含inclusion, include 包含于lie in 子集subset 数学常用词汇中英文对照真子集proper subset 交集intersection 并集union13 / 20偶数集the set of all even numbers奇数集the set of all odd numbers 含绝对值的不等式inequality with absolute value一元二次不等式one-variable quadratic inequality 逻辑logic 逻辑联结词logic connective 或or且and非not真true假false真值表truth table原命题original proposition逆命题converse proposition否命题negative proposition逆否命题converse-negative proposition 充分条件sufficient condition 必要条件necessary condition充要条件sufficient and necessary condition ...... 的充要条件是... •…if and on ly if •…函数函数function14 / 20argument 自变量domain 定义域range 值域interval 区间closed interval 闭区间open interval 开区间graph of function 函数的图象mapping 映射image象inverse image 原象monotone单调increasing function 增函数decreasing function 减函数monotone interval 单调区间inverse function 反函数exponent 指数n th root 次方根nradical根式radical exponent 根指数radicand被开方数exponential function指数函数15 / 20对数logarithm自然对数natural logarithm对数函数logarithmic function数列数列sequence of number项term通项公式the formula of general term有穷数列finite sequence of number无穷数列infinite sequence of number递推公式recurrence formula等差数列arithmeticprogression，arithmetic series等差中项arithmetic mean等比数列geometricprogression，geometric series等比中项geometric mean三角函数三角函数trigonometric function 始边initial side 终边terminal side 正角positive angle16 / 20负角negative angle 零角zero angle 象限角quadrant angle 弧度radian弧度制radian measure 数学常用词汇中英文对照角度制degree measure 正弦sinexxcosine正切tangent余切cotangent正割secant余割cosecant诱导公式induction formula 正弦曲线sine curvexx 曲线cosine curve最大值maximum最小值minimum周期period最小正周期minimal positive period 周期函数periodic function振幅amplitude of vibration频率frequency17 / 20相位phase初相initial phase 反正弦arc sine 反xxarc cosine 反正切arc tangent 平面向量有向线段directed line segment 数量scalar quantity向量vector零向量zero vector 相等向量equal vector 共线向量collinear vectors 平行向量parallel vectors 向量的数乘multiplicationofvectorbyscalar 单位向量unit vector基底base基向量basevectors平移translation数量积innerproduct18 / 20不等式算术平均数arithmetic mean 几何平均数geometric mean 综合法method of synthesis 分析法method of analysis 直线倾斜角angle of inclination 斜率gradient 点斜式point slope form 截距intercept 斜截式gradient intercept form 两点式two -point form 一般式general form夹角included angle线性规划linear programming 约束条件constraint condition 目标函数objective function 可行域feasible region 最优解optimal solution 数学常用词汇中英文对照圆锥曲线曲线curve19 / 20method of coordinate 坐标法analytic geometry 解析几何xxDescartes standard equation 标准方程general equation 一般方程parameter equation 参数方程parameter 参数point conic 圆锥曲线ellipse 椭圆focus, focal points 焦点focal length 焦距major axis 长轴minor axis 短轴eccentricity 离心率hyperbola 双曲线real axis 实轴imaginary axis虚轴asymptote 渐近线parabola 抛物线directrix 准线20 / 20。

高中数学词汇中英文对照表

7
Pythagorean theorem勾股定理
8
congruent全等的
9
multilateral多边的
九、其它相关词汇
1
cent美分
2
penny一美分硬币
3
nickel 5美分硬币
4
dime一角硬币
5
dozen打(12个)
6
score廿(20个)
7
Centigrade摄氏
8
Fahrenheit华氏
∟
right angle
º
degree
′
minute
″
second
⊙
circle
A⁀B
arc AB
e
the base of natural logarithms,approx.2.71828
x!
factorial x, x(x-1)(x-2)---1
lognx
log x to the base n
π
16
face of a solid立体的面
17
hypotenuse斜边
18
included side夹边
19
leg三角形的直角边
20
median of a triangle三角形的中线
21
base底边，底数(e.g.2的5次方，2就是底数)
22
opposite直角三角形中的对边
23
midpoint中点
24
endpoint端点
25
vertex(复数形式vertices)顶点
26
tangent切线的
27
transversal截线
28

高等数学英汉对照术语表(打印版)

高等数学英汉对照术语表A、B:Absolute convergence ：绝对收敛Absolute extreme values ：绝对极值Absolute maximum and minimum ：绝对极大与极小Absolute value ：绝对值Absolute value function ：绝对值函数Acceleration ：加速度Antiderivative ：反导数Approximate integration ：近似积分Approximation ：逼近法Approximation by differentials ：用微分逼近Approximation by Simpson’s Rule ：Simpson法则逼近法Approximation by the Trapezoidal Rule ：梯形法则逼近法Approximation linear ：线性逼近法Arbitrary constant ：任意常数Arc length ：弧长Area ：面积Area between curves ：曲线间之面积Area in polar coordinates ：极坐标表示之面积Area of a sector of a circle ：扇形之面积Area of a surface of a revolution ：旋转曲面之面积Area under a curve ：曲线下方之面积Asymptote ：渐近线Asymptote horizontal ：水平渐近线Asymptote slant ：斜渐近线Asymptote vertical ：垂直渐近线Average speed ：平均速率Average velocity ：平均速度Axes of ellipse ：椭圆之轴Axes, coordinate ：坐标轴Binomial series ：二项级数C:Calculus ：微积分Calculus differential ：微分学Calculus integral ：积分学Cartesian ：笛卡儿坐标Cartesian coordinates ：笛卡儿坐标，一般指直角坐标Cartesian coordinates system ：笛卡儿坐标系Cartesian cylindrical ：柱面坐标Cartesian polar ：极坐标Cartesian rectangular ：直角坐标Cartesian spherical ：球面坐标Cauch’s Mean Value Theorem ：柯西均值定理Chain Rule ：连锁律Change of variables ：变数变换Circle ：圆Circular cylinder ：圆柱Closed interval ：封闭区间Coefficient ：系数Composition of function ：函数之合成Compound interest ：复利Concavity ：凹性Conchoid ：蚌线Cone ：圆锥Constant function ：常数函数Constant of integration ：积分常数Continuity ：连续性Continuity at a point ：在一点处之连续性Continuity from the left ：左连续Continuity from the right ：右连续Continuity of a function ：函数之连续性Continuity on an interval ：在区间之连续性Continuous function ：连续函数Convergence ：收敛Convergence interval of ：收敛区间Convergence radius of ：收敛半径Convergent sequence ：收敛数列Convergent sequence series ：收敛级数Coordinate axes ：坐标轴Coordinate planes ：坐标平面Coordinate：s：坐标Cosine function ：余弦函数Critical point ：临界点Cubic function ：三次函数Curve ：曲线Cylinder：圆柱Cylindrical Coordinates ：圆柱坐标D:Decreasing function ：递减函数Decreasing sequence ：递减数列Definite integral ：定积分Degree of a polynomial ：多项式之次数Density ：密度Derivative ：导数Derivative as a rate of change ：导数当作变率Derivative as the slope of a tangent ：导数看成切线之斜率Derivative directional ：方向导数Derivative domain of ：导数之定义域Derivative higher ：高阶导数Derivative of a composite function ：复合函数之导数Derivative of a constant function ：常数函数之导数Derivative of a power function ：幂函数之导数Derivative of a power series ：羃级数之导数Derivative of a product ：积之导数Derivative of a quotient ：商之导数Derivative of exponential function ：指数函数之导数Derivative partial ：偏导数Derivative right-hand ：右导数Derivative second ：二阶导数Determinant ：行列式Differentiable function ：可导函数Differential ：微分Differential equation ：微分方程Differential equation partial ：偏微分方程Differentiation ：求导法Differentiation implicit ：隐求导法Differentiation implicit partial ：偏微分法Differentiation implicit term by term ：逐项求导法Directional derivatives ：方向导数Discontinuity ：不连续性Disk method ：圆盘法Distance ：距离Divergence ：发散Domain ：定义域Dot product ：点积Double integral ：二重积分Double integral change of variable in ：二重积分之变数变换Double integral in polar coordinates ：极坐标二重积分E、F、G、H:Ellipse ：椭圆Ellipsoid ：椭圆体Epicycloid ：外摆线Equation ：方程式Even function ：偶函数Expected Valued ：期望值Exponential Function ：指数函数Exponents , laws of ：指数率Extreme value ：极值Extreme Value Theorem ：极值定理Factorial ：阶乘First Derivative Test ：一阶导数试验法First octant ：第一卦限Focus ：焦点Fractions ：分式Function ：函数Fundamental Theorem of Calculus ：微积分基本定理Geometric series ：几何级数Gradient ：梯度Graph ：图形Green Formula ：格林公式H:Half-angle formulas ：半角公式Harmonic series ：调和级数Helix ：螺旋线Higher Derivative ：高阶导数Higher mathematics 高等数学/高数Horizontal asymptote ：水平渐近线Horizontal line ：水平线Hyper boloid ：双曲面Hyperbola ：双曲线I:Implicit differentiation ：隐求导法Implicit function ：隐函数Improper integral ：瑕积分Increasing Function ：增函数Increasing/Decreasing Test ：递增或递减试验法Increment ：增量Indefinite integral ：不定积分Independent variable ：自变数Indeterminate from ：不定型Inequality ：不等式Infinite point ：无穷极限Infinite series ：无穷级数Inflection point ：反曲点Instantaneous velocity ：瞬时速度Integer ：整数Integral ：积分Integrand ：被积分式Integration ：积分Integration by part ：分部积分法Intercepts ：截距Intermediate value of Theorem ：中间值定理Interval ：区间Inverse function ：反函数Inverse trigonometric function ：反三角函数Iterated integral ：逐次积分L:Laplace transform ：Leplace 变换Law of Cosines ：余弦定理Least upper bound ：最小上界Left-hand derivative ：左导数Left-hand limit ：左极限Lemniscate ：双钮线Length ：长度Level curve ：等高线L'Hospital's rule ：洛必达法则Limacon ：蚶线Limit ：极限Line in space ：空间之直线Line in the plane ：平面上之直线Linear approximation：线性近似Linear equation ：线性方程式Linear function ：线性函数Linearity ：线性Linearization ：线性化Lobachevski geometry ：罗巴切夫斯基几何Local extremum ：局部极值Local maximum and minimum ：局部极大值与极小值Logarithm ：对数Logarithmic function ：对数函数M、N、O:Maximum and minimum values ：极大与极小值Mean Value Theorem ：均值定理Multiple integrals ：重积分Multiplier ：乘子Natural exponential function ：自然指数函数Natural logarithm function ：自然对数函数Natural number ：自然数Normal line ：法线Normal vector ：法向量Number ：数Octant ：卦限Odd function ：奇函数One-sided limit ：单边极限Open interval ：开区间Optimization problems ：最佳化问题Order ：阶Ordinary differential equation ：常微分方程Origin ：原点Orthogonal ：正交的P、Q:Parabola ：拋物线Parabolic cylinder ：抛物柱面Paraboloid ：抛物面Parallel lines ：并行线Parallelepiped ：平行六面体Parameter ：参数Partial derivative ：偏导数Partial differential equation ：偏微分方程Partial fractions ：部分分式Partial integration ：部分积分Partiton ：分割Period ：周期Periodic function ：周期函数Perpendicular lines ：垂直线Piecewise defined function ：分段定义函数Plane ：平面Point of inflection ：反曲点Point-slope form ：点斜式Polar axis ：极轴Polar coordinate ：极坐标Polar equation ：极方程式Pole ：极点Polynomial ：多项式Positive angle ：正角Power function ：幂函数Product ：积Quadrant ：象限Quotient Law of limit ：极限的商定律Quotient Rule ：商定律R:Radius of convergence ：收敛半径Range of a function ：函数的值域Rate of change ：变化率Rational function ：有理函数Rational number ：有理数Rationalizing substitution ：有理代换法Real number ：实数Rectangular coordinate system ：直角坐标系Rectangular coordinates ：直角坐标Relative maximum and minimum ：相对极大值与极小值Revenue function ：收入函数Revolution , solid of ：旋转体Revolution , surface of ：旋转曲面Riemann Sum ：黎曼和Riemannian geometry ：黎曼几何Right-hand derivative ：右导数Right-hand limit ：右极限Root ：根S:Saddle point ：鞍点Scalar ：纯量Secant line ：割线Second derivative ：二阶导数Second Derivative Test ：二阶导数试验法Second partial derivative ：二阶偏导数Sector ：扇形Sequence ：数列Series ：级数Set ：集合Shell method ：剥壳法Sine function ：正弦函数Singularity ：奇点Slant asymptote ：斜渐近线Slope ：斜率Slope-intercept equation of a line ：直线的斜截式Smooth curve ：平滑曲线Smooth surface ：平滑曲面Solid of revolution ：旋转体Space ：空间Speed ：速率Spherical coordinates ：球面坐标Squeeze Theorem ：夹挤定理Step function ：阶梯函数Strictly decreasing ：严格递减Strictly increasing ：严格递增Sum ：和Surface ：曲面Surface integral ：面积分Surface of revolution ：旋转曲面Symmetry ：对称T:Tangent function ：正切函数Tangent line ：切线Tangent plane ：切平面Tangent vector ：切向量Total differential ：全微分Trigonometric function ：三角函数Trigonometric integrals ：三角积分Trigonometric substitutions ：三角代换法Tripe integrals ：三重积分V、X、Z:Value of function ：函数值Variable ：变数Vector ：向量Velocity ：速度Vertical asymptote ：垂直渐近线Volume ：体积X-axis ：x轴x-coordinate ：x坐标x-intercept ：x截距Zero vector ：函数的零点Zeros of a polynomial ：多项式的零点。

高等数学常用术语中英文对照一览表

高等数学常用术语中英文对照一览表高等数学是理工科及相关专业中重要的基础学科之一，它涉及了大量的术语和概念。

在学习和理解高等数学的过程中，掌握这些术语的中英文对照是十分重要的。

本文将为您提供一份高等数学常用术语中英文对照一览表，帮助您更好地理解和应用这些术语。

1. 集合论 (Set theory)- 集合 (Set)- 元素 (Element)- 子集 (Subset)- 并集 (Union)- 交集 (Intersection)- 补集 (Complement)2. 函数与极限 (Functions and limits)- 函数 (Function)- 定义域 (Domain)- 值域 (Range)- 极限 (Limit)- 连续 (Continuous)- 偏导数 (Partial derivative)- 微分 (Differential)3. 微积分 (Calculus)- 导数 (Derivative)- 积分 (Integral)- 不定积分 (Indefinite integral)- 定积分 (Definite integral)- 曲线的长度 (Arc length)- 曲线的曲率 (Curvature)- 泰勒级数 (Taylor series)4. 微分方程 (Differential equations)- 微分方程 (Differential equation)- 一阶常微分方程 (First-order ordinary differential equation)- 齐次方程 (Homogeneous equation)- 非齐次方程 (Non-homogeneous equation)- 二阶线性常微分方程 (Second-order linear ordinary differential equation)- 高阶常微分方程 (Higher-order ordinary differential equation)5. 线性代数 (Linear algebra)- 行列式 (Determinant)- 向量 (Vector)- 矩阵 (Matrix)- 线性变换 (Linear transformation)- 特征值与特征向量 (Eigenvalue and eigenvector)- 正交 (Orthogonal)- 对称矩阵 (Symmetric matrix)6. 概率论与数理统计 (Probability theory and mathematical statistics) - 概率 (Probability)- 随机变量 (Random variable)- 概率密度函数 (Probability density function)- 累积分布函数 (Cumulative distribution function)- 期望值 (Expectation)- 方差 (Variance)- 正态分布 (Normal distribution)7. 多元函数 (Multivariable functions)- 偏导数 (Partial derivative)- 梯度 (Gradient)- 雅可比矩阵 (Jacobian matrix)- 多元微积分 (Multivariable calculus)- 多元函数积分 (Multiple integrals)- 曲面积分 (Surface integral)- 空间曲线积分 (Line integral in space)8. 级数 (Series)- 级数 (Series)- 收敛 (Convergence)- 绝对收敛 (Absolutely convergence)- 条件收敛 (Conditionally convergence)- 无穷级数 (Infinite series)- 幂级数 (Power series)- 泰勒级数 (Taylor series)以上仅为高等数学中的一小部分常用术语，但对于初学者来说，理解和掌握这些术语是基础的一步。

数学术语的英汉对照(权威,全面)

abbreviation 简写符号；简写abscissa 横坐标absolute complement 绝对补集absolute error 绝对误差absolute inequality 绝不等式absolute maximum 绝对极大值absolute minimum 绝对极小值absolute monotonic 绝对单调absolute value 绝对值accelerate 加速acceleration 加速度acceleration due to gravity 重力加速度; 地心加速度accumulation 累积accumulative 累积的accuracy 准确度act on 施于action 作用; 作用力acute angle 锐角acute-angled triangle 锐角三角形add 加addition 加法addition formula 加法公式addition law 加法定律addition law(of probability) （概率）加法定律additive inverse 加法逆元; 加法反元additive property 可加性adjacent angle 邻角adjacent side 邻边adjoint matrix 伴随矩阵algebra 代数algebraic 代数的algebraic equation 代数方程algebraic expression 代数式algebraic fraction 代数分式；代数分数式algebraic inequality 代数不等式algebraic number 代数数algebraic operation 代数运算algebraically closed 代数封闭algorithm 算法系统; 规则系统alternate angle （交）错角alternate segment 内错弓形alternating series 交错级数alternative hypothesis 择一假设; 备择假设; 另一假设altitude 高；高度；顶垂线；高线ambiguous case 两义情况；二义情况amount 本利和；总数analysis 分析；解析analytic geometry 解析几何angle 角angle at the centre 圆心角angle at the circumference 圆周角angle between a line and a plane 直与平面的交角angle between two planes 两平面的交角angle bisection 角平分angle bisector 角平分线；分角线angle in the alternate segment 交错弓形的圆周角angle in the same segment 同弓形内的圆周角angle of depression 俯角angle of elevation 仰角angle of friction 静摩擦角; 极限角angle of greatest slope 最大斜率的角angle of inclination 倾斜角angle of intersection 相交角；交角angle of projection 投射角angle of rotation 旋转角angle of the sector 扇形角angle sum of a triangle 三角形内角和angles at a point 同顶角angular displacement 角移位angular momentum 角动量angular motion 角运动angular velocity 角速度annum(X% per annum) 年（年利率X%）anti-clockwise direction 逆时针方向；返时针方向anti-clockwise moment 逆时针力矩anti-derivative 反导数; 反微商anti-logarithm 逆对数；反对数anti-symmetric 反对称apex 顶点approach 接近；趋近approximate value 近似值approximation 近似；略计；逼近Arabic sy stem 阿刺伯数字系统arbitrary 任意arbitrary constant 任意常数arc 弧arc length 弧长arc-cosine function 反余弦函数arc-sin function 反正弦函数arc-tangent function 反正切函数area 面积Argand diagram 阿根图, 阿氏图argument (1)论证; (2)辐角argument of a complex number 复数的辐角argument of a function 函数的自变量arithmetic 算术arithmetic mean 算术平均；等差中顶；算术中顶arithmetic progression 算术级数；等差级数arithmetic sequence 等差序列arithmetic series 等差级数arm 边array 数组; 数组arrow 前号ascending order 递升序ascending powers of X X 的升幂assertion 断语; 断定associative law 结合律assumed mean 假定平均数assumption 假定；假设asy mmetrical 非对称asy mptote 渐近asy mptotic error constant 渐近误差常数at rest 静止augmented matrix 增广矩阵auxiliary angle 辅助角auxiliary circle 辅助圆auxiliary equation 辅助方程average 平均；平均数；平均值average speed 平均速率axiom 公理axiom of existence 存在公理axiom of extension 延伸公理axiom of inclusion 包含公理axiom of pairing 配对公理axiom of power 幂集公理axiom of specification 分类公理axiomatic theory of probability 概率公理论axis 轴axis of parabola 拋物线的轴axis of revolution 旋转轴axis of rotation 旋转轴axis of sy mmetry 对称轴back substitution 回代bar chart 棒形图；条线图；条形图；线条图base （1）底；（2）基；基数base angle 底角base area 底面base line 底线base number 底数；基数base of logarithm 对数的底basis 基Bay es' theorem 贝叶斯定理bearing 方位（角）；角方向（角）bell-shaped curve 钟形图belong to 属于Bernoulli distribution 伯努利分布Bernoulli trials 伯努利试验bias 偏差；偏倚biconditional 双修件式; 双修件句bijection 对射; 双射; 单满射bijective function 对射函数; 只射函数billion 十亿bimodal distribution 双峰分布binary number 二进数binary operation 二元运算binary scale 二进法binary sy stem 二进制binomial 二项式binomial distribution 二项分布binomial expression 二项式binomial series 二项级数binomial theorem 二项式定理bisect 平分；等分bisection method 分半法；分半方法bisector 等分线；平分线Boolean algebra 布尔代数boundary condition 边界条件boundary line 界（线）；边界bounded 有界的bounded above 有上界的；上有界的bounded below 有下界的；下有界的bounded function 有界函数bounded sequence 有界序列brace 大括号bracket 括号breadth 阔度broken line graph 折线图calculation 计算calculator 计算器；计算器calculus (1) 微积分学; (2) 演算cancel 消法；相消canellation law 消去律canonical 典型; 标准capacity 容量cardioid 心脏Cartesian coordinates 笛卡儿坐标Cartesian equation 笛卡儿方程Cartesian plane 笛卡儿平面Cartesian product 笛卡儿积category 类型；范畴catenary 悬链Cauchy sequence 柯西序列Cauchy's principal value 柯西主值Cauchy-Schwarz inequality 柯西- 许瓦尔兹不等式central limit theorem 中心极限定理central line 中线central tendency 集中趋centre 中心；心centre of a circle 圆心centre of gravity 重心centre of mass 质量中心centrifugal force 离心力centripedal acceleration 向心加速度centripedal force force 向心力centroid 形心；距心certain event 必然事件chain rule 链式法则chance 机会change of axes 坐标轴的变换change of base 基的变换change of coordinates 坐标轴的变换change of subject 主项变换change of variable 换元；变量的换characteristic equation 特征(征)方程characteristic function 特征(征)函数characteristic of logarithm 对数的首数; 对数的定位部characteristic root 特征(征)根chart 图；图表check digit 检验数位checking 验算chord 弦chord of contact 切点弦circle 圆circular 圆形；圆的circular function 圆函数；三角函数circular measure 弧度法circular motion 圆周运动circular permutation 环形排列; 圆形排列; 循环排列circumcentre 外心；外接圆心circumcircle 外接圆circumference 圆周circumradius 外接圆半径circumscribed circle 外接圆cissoid 蔓叶class 区；组；类class boundary 组界class interval 组区间；组距class limit 组限；区限class mark 组中点；区中点classical theory of probability 古典概率论classification 分类clnometer 测斜仪clockwise direction 顺时针方向clockwise moment 顺时针力矩closed convex region 闭凸区域closed interval 闭区间coaxial 共轴coaxial circles 共轴圆coaxial sy stem 共轴系coded data 编码数据coding method 编码法co-domain 上域coefficient 系数coefficient of friction 摩擦系数coefficient of restitution 碰撞系数; 恢复系数coefficient of variation 变差系数cofactor 余因子; 余因式cofactor matrix 列矩阵coincide 迭合；重合collection of terms 并项collinear 共线collinear planes 共线面collision 碰撞column (1)列；纵行；(2) 柱column matrix 列矩阵column vector 列向量combination 组合common chord 公弦common denominator 同分母；公分母common difference 公差common divisor 公约数；公约common factor 公因子；公因子common logarithm 常用对数common multiple 公位数；公倍common ratio 公比common tangent 公切commutative law 交换律comparable 可比较的compass 罗盘compass bearing 罗盘方位角compasses 圆规compasses construction 圆规作图compatible 可相容的complement 余；补余complement law 补余律complementary angle 余角complementary equation 补充方程complementary event 互补事件complementary function 余函数complementary probability 互补概率complete oscillation 全振动completing the square 配方complex conjugate 复共轭complex number 复数complex unmber plane 复数平面complex root 复数根component 分量component of force 分力composite function 复合函数; 合成函数composite number 复合数；合成数composition of mappings 映射构合composition of relations 复合关系compound angle 复角compound angle formula 复角公式compound bar chart 综合棒形图compound discount 复折扣compound interest 复利；复利息compound probability 合成概率compound statement 复合命题; 复合叙述computation 计算computer 计算机；电子计算器concave 凹concave downward 凹向下的concave poly gon 凹多边形concave upward 凹向上的concentric circles 同心圆concept 概念conclusion 结论concurrent 共点concyclic 共圆concyclic points 共圆点condition 条件conditional 条件句；条件式conditional identity 条件恒等式conditional inequality 条件不等式conditional probability 条件概率cone 锥；圆锥（体）confidence coefficient 置信系数confidence interval 置信区间confidence level 置信水平confidence limit 置信极限confocal section 共焦圆锥曲congruence (1)全等；(2)同余congruence class 同余类congruent 全等congruent figures 全等图形congruent triangles 全等三角形conic 二次曲; 圆锥曲conic section 二次曲; 圆锥曲conical pendulum 圆锥摆conjecture 猜想conjugate 共轭conjugate axis 共轭conjugate diameters 共轭轴conjugate hy perbola 共轭(直)径conjugate imaginary / complex number 共轭双曲conjugate radical 共轭虚/复数conjugate surd 共轭根式; 共轭不尽根conjunction 合取connective 连词connector box 捙接框consecutive integers 连续整数consecutive numbers 连续数；相邻数consequence 结论；推论consequent 条件；后项conservation of energy 能量守恒conservation of momentum 动量守恒conserved 守恒consistency condition 相容条件consistent 一贯的；相容的consistent estimator 相容估计量constant 常数constant acceleration 恒加速度constant force 恒力constant of integration 积分常数constant speed 恒速率constant term 常项constant velocity 怛速度constraint 约束；约束条件construct 作construction 作图construction of equation 方程的设立continued proportion 连比例continued ratio 连比continuity 连续性continuity correction 连续校正continuous 连续的continuous data 连续数据continuous function 连续函数continuous proportion 连续比例continuous random variable 连续随机变量contradiction 矛盾converge 收敛convergence 收敛性convergent 收敛的convergent iteration 收敛的迭代convergent sequence 收敛序列convergent series 收敛级数converse 逆(定理)converse of a relation 逆关系converse theorem 逆定理conversion 转换convex 凸convex polygon 凸多边形convexity 凸性coordinate 坐标coordinate geometry 解析几何；坐标几何coordinate sy stem 坐标系系定理；系；推论coplanar 共面coplanar forces 共面力coplanar lines 共面co-prime 互质; 互素corollary 系定理; 系; 推论correct to 准确至；取值至correlation 相关correlation coefficient 相关系数correspondence 对应corresponding angles (1)同位角；(2)对应角corresponding element 对应边corresponding sides 对应边cosecant 余割cosine 余弦cosine formula 余弦公式cost price 成本cotangent 余切countable 可数countable set 可数集countably infinite 可数无限counter clockwise direction 逆时针方向；返时针方向counter example 反例counting 数数；计数couple 力偶Carmer's rule 克莱玛法则criterion 准则critical point 临界点critical region 临界域cirtical value 临界值cross-multiplication 交叉相乘cross-section 横切面；横截面；截痕cube 正方体；立方；立方体cube root 立方根cubic 三次方；立方；三次(的)cubic equation 三次方程cubic roots of unity 单位的立方根cuboid 长方体；矩体cumulative 累积的cumulative distribution function 累积分布函数cumulative frequecy 累积频数；累积频率cumulative frequency curve 累积频数曲cumulative frequcncy distribution 累积频数分布cumulative frequency poly gon 累积频数多边形；累积频率直方图curvature of a curve 曲线的曲率curve 曲线curve sketching 曲线描绘(法)curve tracing 曲线描迹(法)curved line 曲线curved surface 曲面curved surface area 曲面面积cyclic expression 输换式cyclic permutation 圆形排列cyclic quadrilateral 圆内接四边形cycloid 旋输线; 摆线cylinder 柱；圆柱体cylindrical 圆柱形的damped oscillation 阻尼振动data 数据De Moivre's theorem 棣美弗定理De Morgan's law 德摩根律decagon 十边形decay 衰变decay factor 衰变因子decelerate 减速decelaration 减速度decile 十分位数decimal 小数decimal place 小数位decimal point 小数点decimal sy stem 十进制decision box 判定框declarative sentence 说明语句declarative statement 说明命题decoding 译码decrease 递减decreasing function 递减函数；下降函数decreasing sequence 递减序列；下降序列decreasing series 递减级数；下降级数decrement 减量deduce 演绎deduction 推论deductive reasoning 演绎推理definite 确定的；定的definite integral 定积分definition 定义degenerated conic section 降级锥曲线degree (1) 度; (2) 次degree of a polynomial 多项式的次数degree of accuracy 准确度degree of confidence 置信度degree of freedom 自由度degree of ODE 常微分方程次数degree of precision 精确度delete 删除; 删去denary number 十进数denominator 分母dependence (1)相关; (2)应变dependent event(s) 相关事件; 相依事件; 从属事件dependent variable 应变量; 应变数depreciation 折旧derivable 可导derivative 导数derived curve 导函数曲线derived function 导函数derived statistics 推算统计资料; 派生统计资料descending order 递降序descending powers of x x 的降序descriptive statistics 描述统计学detached coefficients 分离系数(法)determinant 行列式deviation 偏差; 变差deviation from the mean 离均差diagonal 对角线diagonal matrix 对角矩阵diagram 图; 图表diameter 直径diameter of a conic 二次曲线的直径difference 差difference equation 差分方程difference of sets 差集differentiable 可微differential 微分differential coefficient 微商; 微分系数differential equation 微分方程differential mean value theorem 微分中值定理differentiate 求...的导数differentiate from first principle 从基本原理求导数differentiation 微分法digit 数字dimension 量; 量网; 维(数)direct impact 直接碰撞direct image 直接像direct proportion 正比例direct tax, direct taxation 直接税direct variation 正变(分)directed angle 有向角directed line 有向直线directed line segment 有向线段directed number 有向数direction 方向; 方位direction angle 方向角direction cosine 方向余弦direction number 方向数direction ratio 方向比directrix 准线Dirichlet function 狄利克来函数discontinuity 不连续性discontinuous 间断(的);连续(的); 不连续(的) discontinuous point 不连续点discount 折扣discrete 分立; 离散discrete data 离散数据; 间断数据discrete random variable 间断随机变数discrete uniform distribution 离散均匀分布discriminant 判别式disjoint 不相交的disjoint sets 不相交的集disjunction 析取dispersion 离差displacement 位移disprove 反证distance 距离distance formula 距离公式distinct roots 相异根distincr solution 相异解distribution 公布distributive law 分配律diverge 发散divergence 发散(性)divergent 发散的divergent iteration 发散性迭代divergent sequence 发散序列divergent series 发散级数divide 除dividend (1)被除数；(2)股息divisible 可整除division 除法division algorithm 除法算式divisor 除数；除式；因子divisor of zero 零因子dodecagon 十二边形domain 定义域dot 点dot product 点积double angle 二倍角double angle formula 二倍角公式double root 二重根dual 对偶duality (1)对偶性; (2) 双重性due east/ south/ west /north 向东/ 南/ 西/ 北dynamics 动力学eccentric angle 离心角eccentric circles 离心圆eccentricity 离心率echelon form 梯阵式echelon matrix 梯矩阵edge 棱；边efficient estimator 有效估计量effort 施力eigenvalue 本征值eigenvector 本征向量elastic body 弹性体elastic collision 弹性碰撞elastic constant 弹性常数elastic force 弹力elasticity 弹性element 元素elementary event 基本事件elementary function 初等函数elementary row operation 基本行运算elimination 消法elimination method 消去法；消元法ellipse 椭圆ellipsiod 椭球体elliptic function 椭圆函数elongation 伸张；展empirical data 实验数据empirical formula 实验公式empirical probability 实验概率；经验概率empty set 空集encoding 编码enclosure 界限end point 端点energy 能; 能量entire surd 整方根epicycloid 外摆线equal 相等equal ratios theorem 等比定理equal roots 等根equal sets 等集equality 等(式)equality sign 等号equation 方程equation in one unknown 一元方程equation in two unknowns (variables) 二元方程equation of a straight line 直线方程equation of locus 轨迹方程equiangular 等角(的)equidistant 等距(的)equilateral 等边(的)equilateral polygon 等边多边形equilateral triangle 等边三角形equilibrium 平衡equiprobable 等概率的equiprobable space 等概率空间equivalence 等价equivalence class 等价类equivalence relation 等价关系equivalent 等价(的)error 误差error allowance 误差宽容度error estimate 误差估计error term 误差项error tolerance 误差宽容度escribed circle 旁切圆estimate 估计；估计量estimator 估计量Euclidean algorithm 欧几里德算法Euclidean geometry 欧几里德几何Euler's formula 尤拉公式；欧拉公式evaluate 计值even function 偶函数even number 偶数evenly distributed 均匀分布的event 事件exact 真确exact differential form 恰当微分形式exact solution 准确解；精确解；真确解exact value 法确解；精确解；真确解example 例excentre 外心exception 例外excess 起exclusive 不包含exclusive disjunction 不包含性析取exclusive events 互斥事件exercise 练习exhaustive event(s) 彻底事件existential quantifier 存在量词expand 展开expand form 展开式expansion 展式expectation 期望expectation value, expected value 期望值；预期值experiment 实验；试验experimental 试验的experimental probability 实验概率explicit function 显函数exponent 指数exponential function 指数函数exponential order 指数阶; 指数级express…in terms of…以………表达expression 式；数式extension 外延；延长；扩张；扩充extension of a function 函数的扩张exterior angle 外角external angle bisector 外分角external point of division 外分点extreme point 极值点extreme value 极值extremum 极值face 面factor 因子；因式；商factor method 因式分解法factor theorem 因子定理；因式定理factorial 阶乘factorization 因子分解；因式分解factorization of polynomial 多项式因式分解fallacy 谬误FALSE 假(的)falsehood 假值family 族family of circles 圆族family of concentric circles 同心圆族family of straight lines 直线族feasible solution 可行解；容许解Fermat's last theorem 费尔马最后定理Fibonacci number 斐波那契数；黄金分割数Fibonacci sequence 斐波那契序列fictitious mean 假定平均数figure (1)图(形)；(2)数字final velocity 末速度finite 有限finite dimensional vector space 有限维向量空间finite population 有限总体finite probability space 有限概率空间finite sequence 有限序列finite series 有限级数finite set 有限集first approximation 首近似值first derivative 一阶导数first order differential equation 一阶微分方程first projection 第一投影; 第一射影first quartile 第一四分位数first term 首项fixed deposit 定期存款fixed point 定点fixed point iteration method 定点迭代法fixed pulley 定滑轮flow chart 流程图focal axis 焦轴focal chord 焦弦focal length 焦距focus(foci) 焦点folium of Descartes 笛卡儿叶形线foot of perpendicular 垂足for all X 对所有Xfor each /every X 对每一Xforce 力forced oscillation 受迫振动form 形式；型formal proof 形式化的证明format 格式；规格formula(formulae) 公式four leaved rose curve 四瓣玫瑰线four rules 四则four-figure table 四位数表fourth root 四次方根fraction 分数；分式fraction in lowest term 最简分数fractional equation 分式方程fractional index 分数指数fractional inequality 分式不等式free fall 自由下坠free vector 自由向量; 自由矢量frequency 频数；频率frequency distribution 频数分布；频率分布frequency distribution table 频数分布表frequency polygon 频数多边形；频率多边形friction 摩擦; 摩擦力frictionless motion 无摩擦运动frustum 平截头体fulcrum 支点function 函数function of function 复合函数；迭函数functional notation 函数记号fundamental theorem of algebra 代数基本定理fundamental theorem of calculus 微积分基本定理gain 增益；赚；盈利gain perent 赚率；增益率；盈利百分率game （1）对策；（2）博奕Gaussian distribution 高斯分布Gaussian elimination 高斯消去法general form 一般式；通式general solution 通解；一般解general term 通项generating function 母函数; 生成函数generator (1)母线; (2)生成元geoborad 几何板geometric distribution 几何分布geometric mean 几何平均数；等比中项geometric progression 几何级数；等比级数geometric sequence 等比序列geometric series 等比级数geometry 几何；几何学given 给定；已知global 全局; 整体global maximum 全局极大值; 整体极大值global minimum 全局极小值; 整体极小值golden section 黄金分割grade 等级gradient (1)斜率；倾斜率；(2)梯度grand total 总计graph 图像；图形；图表graph paper 图表纸graphical method 图解法graphical representation 图示；以图样表达graphical solution 图解gravitational acceleration 重力加速度gravity 重力greatest term 最大项greatest value 最大值grid lines 网网格线group 组；grouped data 分组数据；分类数据grouping terms 并项；集项growth 增长growth factor 增长因子half angle 半角half angle formula 半角公式half closed interval 半闭区间half open interval 半开区间harmonic mean (1) 调和平均数; (2) 调和中项harmonic progression 调和级数head 正面（钱币）height 高（度）helix 螺旋线hemisphere 半球体；半球heptagon 七边形Heron's formula 希罗公式heterogeneous (1)参差的; (2)不纯一的hexagon 六边形higher order derivative 高阶导数highest common factor(H.C.F) 最大公因子；最高公因式；最高公因子Hindu-Arabic numeral 阿刺伯数字histogram 组织图；直方图；矩形图Holder's Inequality 赫耳德不等式homogeneous 齐次的homogeneous equation 齐次方程Hooke's law 虎克定律horizontal 水平的；水平horizontal asymptote 水平渐近线horizontal component 水平分量horizontal line 横线；水平线horizontal range 水平射程hyperbola 双曲线hyperbolic function 双曲函数hypergeometric distribution 超几何分布hypocycloid 内摆线hypotenuse 斜边hypothesis 假设hypothesis testing 假设检验hypothetical sy llogism 假设三段论hypotrochoid 次内摆线idempotent 全幂等的identical 全等；恒等identity 等（式）identity element 单位元identity law 同一律identity mapping 恒等映射identity matrix 恒等矩阵identity relation 恒等关系式if and only if/iff 当且仅当；若且仅若if…, then 若….则；如果…..则illustration 例证；说明image 像点；像image axis 虚轴imaginary circle 虚圆imaginary number 虚数imaginary part 虚部imaginary root 虚根imaginary unit 虚数单位impact 碰撞implication 蕴涵式；蕴含式implicit definition 隐定义implicit function 隐函数imply 蕴涵；蕴含impossible event 不可能事件improper fraction 假分数improper integral 广义积分; 非正常积分impulse 冲量impulsive force 冲力incentre 内力incircle 内切圆inclination 倾角；斜角inclined plane 斜面included angle 夹角included side 夹边inclusion mapping 包含映射inclusive 包含的；可兼的inclusive disjunction 包含性析取；可兼析取inconsistent 不相的(的)；不一致(的) increase 递增；增加increasing function 递增函数increasing sequence 递增序列increasing series 递增级数increment 增量indefinite integral 不定积分idenfinite integration 不定积分法independence 独立；自变independent equations 独立方程independent event 独立事件independent variable 自变量；独立变量indeterminate (1)不定的；(2)不定元；未定元indeterminate coefficient 不定系数；未定系数indeterminate form 待定型；不定型index,indices 指数；指index notation 指数记数法induced operation 诱导运算induction hypothesis 归纳法假设inelastic collision 非弹性碰撞inequality 不等式；不等inequality sign 不等号inertia 惯性；惯量infer 推断inference 推论infinite 无限；无穷infinite dimensional 无限维infinite population 无限总体infinite sequence 无限序列；无穷序列infinite series 无限级数；无穷级数infinitely many 无穷多infinitesimal 无限小；无穷小infinity 无限(大)；无穷(大)inflection (inflexion) point 拐点；转折点inherent error 固有误差initial approximation 初始近似值initial condition 原始条件；初值条件initial point 始点；起点initial side 始边initial value 初值；始值initial velocity 初速度initial-value problem 初值问题injection 内射injective function 内射函数inner product 内积input 输入input box 输入inscribed circle 内切圆insertion 插入insertion of brackets 加括号instantaneous 瞬时的instantaneous acceleration 瞬时加速度instantaneous speed 瞬时速率instantaneous velocity 瞬时速度integer 整数integrable 可积integrable function 可积函数integral 积分integral index 整数指数integral mean value theorem 积数指数integral part 整数部份integral solution 整数解integral value 整数值integrand 被积函数integrate 积；积分；......的积分integrating factor 积分因子integration 积分法integration by parts 分部积分法integration by substitution 代换积分法；换元积分法integration constant 积分常数interaction 相互作用intercept 截距；截段intercept form 截距式intercept theorem 截线定理interchange 互换interest 利息interest rate 利率interest tax 利息税interior angle 内角interior angles on the same side of the transversal 同旁内角interior opposite angle 内对角intermediate value theorem 介值定理internal bisector 内分角internal division 内分割internal energy 内能internal force 内力internal point of division 内分点interpolating polynomial 插值多项式interpolation 插值inter-quartile range 四分位数间距intersect 相交intersection (1)交集；(2)相交；(3)交点interval 区间interval estimation 区间估计；区域估计intuition 直观invalid 失效；无效invariance 不变性invariant (1)不变的；(2)不变量；不变式inverse 反的；逆的inverse circular function 反三角函数inverse cosine function 反余弦函数inverse function 反函数；逆函数inverse cosine function 反三角函数inverse function 反函数；逆映射inverse mapping 反向映射；逆映射inverse matrix 逆矩阵inverse problem 逆算问题inverse proportion 反比例；逆比例inverse relation 逆关系inverse sine function 反正弦函数inverse tangent function 反正切函数inverse variation 反变(分)；逆变(分)invertible 可逆的invertible matrix 可逆矩阵irrational equation 无理方程irrational number 无理数irreducibility 不可约性irregular 不规则isomorphism 同构isosceles triangle 等腰三角形iterate (1)迭代值; (2)迭代iteration 迭代iteration form 迭代形iterative function 迭代函数iterative method 迭代法jet propulsion 喷气推进joint variation 联变(分)；连变(分)kinetic energy 动能kinetic friction 动摩擦known 己知L.H.S. 末项L'Hospital's rule 洛必达法则Lagrange interpolating poly nomial 拉格朗日插值多项代Lagrange theorem 拉格朗日定理Lami's law 拉密定律Laplace expansion 拉普拉斯展式last term 末项latent root 本征根; 首通径lattice point 格点latus rectum 正焦弦; 首通径law 律；定律law of conservation of momentum 动量守恒定律law of indices 指数律；指数定律law of inference 推论律law of trichotomy 三分律leading coefficient 首项系数leading diagonal 主对角线least common multiple, lowest common multiple (L.C.M) 最小公倍数；最低公倍式least value 最小值left hand limit 左方极限lemma 引理lemniscate 双纽线length 长(度)letter 文字；字母like surd 同类根式like terms 同类项limacon 蜗牛线limit 极限limit of sequence 序列的极限limiting case 极限情况limiting friction 最大静摩擦limiting position 极限位置line 线；行line of action 作用力线line of best-fit 最佳拟合line of greatest slope 最大斜率的直；最大斜率line of intersection 交线line segment 线段linear 线性；一次linear convergence 线性收敛性linear differeantial equation 线性微分方程linear equation 线性方程；一次方程linear equation in two unknowns 二元一次方程；二元线性方程linear inequality 一次不等式；线性不等式linear momentum 线动量linear programming 线性规划linearly dependent 线性相关的linearly independent 线性无关的literal coefficient 文字系数literal equation 文字方程load 负荷loaded coin 不公正钱币loaded die 不公正骰子local maximum 局部极大(值)local minimum 局部极小(值)locus, loci 轨迹logarithm 对数logarithmic equation 对数方程logarithmic function 对数函数logic 逻辑logical deduction 逻辑推论；逻辑推理logical step 逻辑步骤long division method 长除法loop 回路loss 赔本；亏蚀loss per cent 赔率；亏蚀百分率lower bound 下界lower limit 下限lower quartile 下四分位数lower sum 下和lower triangular matrix 下三角形矩阵lowest common multiple(L.C.M) 最小公倍数machine 机械Maclaurin expansion 麦克劳林展开式Maclaurin series 麦克劳林级数magnitude 量；数量；长度；大小major arc 优弧；大弧major axis 长轴major sector 优扇形；大扇形major segment 优弓形；大弓形mantissa of logarithm 对数的尾数；对数的定值部many to one 多个对一个many-sided figure 多边形many-valued 多值的map into 映入map onto 映上mapping 映射marked price 标价Markov chain 马可夫链mass 质量mathematical analy sis 数学分析mathematical induction 数学归纳法mathematical sentence 数句mathematics 数学matrix 阵; 矩阵matrix addition 矩阵加法matrix equation 矩阵方程matrix multiplication 矩阵乘法matrix operation 矩阵运算maximize 极大maximum absolute error 最大绝对误差maximum point 极大点maximum value 极大值mean 平均(值)；平均数；中数mean deviation 中均差；平均偏差mean value theorem 中值定理measure of dispersion 离差的量度measurement 量度mechanical energy 机械能median (1)中位数；(2)中线meet 相交；相遇mensuration 计量；求积法method 方法method of completing square 配方法method of interpolation 插值法; 内插法method of least squares 最小二乘法; 最小平方法method of substitution 代换法；换元法method of successive substitution 逐次代换法; 逐次调替法method of superposition 迭合法metric unit 十进制单位mid-point 中点mid-point formula 中点公式mid-point theorem 中点定理minimize 极小minimum point 极小点minimum value 极小值Minkowski Inequality 闵可夫斯基不等式minor (1)子行列式；(2)劣；较小的minor arc 劣弧；小弧minor axis 短轴minor of a determinant 子行列式minor sector 劣扇形；小扇形minor segment 劣弓形；小弓形minus 减minute 分mixed number(fraction) 带分数modal class 众数组mode 众数model 模型modulo (1)模; 模数; (2)同余modulo arithmetic 同余算术modulus 模; 模数modulus of a complex number 复数的模modulus of elasticity 弹性模(数)moment arm (1)矩臂; (2)力臂moment of a force 力矩moment of inertia 贯性矩momentum 动量monomial 单项式monotone 单调monotonic convergence 单调收敛性monotonic decreasing 单调递减monotonic decreasing function 单调递减函数monotonic function 单调函数monotonic increasing 单调递增monotonic increasing function 单调递增函数motion 运动movable pulley 动滑轮multinomial 多项式multiple 倍2；数multiple angle 倍角multiple-angle formula 倍角公式multiple root 多重根multiplicand 被乘数multiplication 乘法multiplication law (of probability) (概率)乘法定律multiplicative inverse 乘法逆元multiplicative property 可乘性multiplicity 重数multiplier 乘数；乘式multiply 乘multi-value 多值的mulually disjoint 互不相交mutually exclusive events 互斥事件mutually independent 独立; 互相独立mutually perpendicular lines 互相垂直n factorial n 阶乘n th derivative n 阶导数n th root n 次根；n 次方根n the root of unity 单位的n 次根Napierian logarithm 纳皮尔对数; 自然对数natural logarithm 自然对数natural number 自然数natural surjection 自然满射necessary and sufficient condition 充要条件necessary condition 必要条件negation 否定式negative 负negative angle 负角negative binomial distribution 负二项式分布negative index 负指数negative integer 负整数negative number 负数negative vector 负向量; 负矢量neighborhood 邻域net 净(值)net force 净力Newton-Cote's rule 牛顿- 高斯法则Newton-Raphson's method 牛顿- 纳逊方法Newton's formula 牛顿公式Newton's law of motion 牛顿运动定律Newton's method 牛顿方法n-gon n 边形nonagon 九边形non-collinear 不共线non-commutative 非交换的non-linear 非线性non-linear equation 非线性方程non-negative 非负的non-reflexive 非自反的。

数学术语的英汉对照

数学术语的英汉对照数学术语的英汉对照（权威，全⾯）19数学术语的英汉对照（权威，全⾯）English Chineseabbreviation 简写符号；简写abscissa 横坐标absolute complement 绝对补集absolute error 绝对误差absolute inequality 绝不等式absolute maximum 绝对极⼤值absolute minimum 绝对极⼩值absolute monotonic 绝对单调absolute value 绝对值accelerate 加速acceleration 加速度acceleration due to gravity 重⼒加速度; 地⼼加速度accumulation 累积accumulative 累积的accuracy 准确度act on 施于action 作⽤; 作⽤⼒acute angle 锐⾓acute-angled triangle 锐⾓三⾓形add 加addition 加法addition formula 加法公式addition law 加法定律addition law(of probability) （概率）加法定律additive inverse 加法逆元; 加法反元additive property 可加性adjacent angle 邻⾓adjacent side 邻边adjoint matrix 伴随矩阵algebra 代数algebraic 代数的algebraic equation 代数⽅程algebraic expression 代数式algebraic fraction 代数分式；代数分数式algebraic inequality 代数不等式algebraic number 代数数algebraic operation 代数运算algebraically closed 代数封闭algorithm 算法系统; 规则系统alternate angle （交）错⾓alternate segment 内错⼸形alternating series 交错级数alternative hypothesis 择⼀假设; 备择假设; 另⼀假设altitude ⾼；⾼度；顶垂线；⾼线ambiguous case 两义情况；⼆义情况amount 本利和；总数analysis 分析；解析analytic geometry 解析⼏何angle ⾓angle at the centre 圆⼼⾓angle at the circumference 圆周⾓angle between a line and a plane 直　与平⾯的交⾓angle between two planes 两平⾯的交⾓angle bisection ⾓平分angle bisector ⾓平分线　；分⾓线　angle in the alternate segment 交错⼸形的圆周⾓angle in the same segment 同⼸形内的圆周⾓angle of depression 俯⾓angle of elevation 仰⾓angle of friction 静摩擦⾓; 极限⾓angle of greatest slope 最⼤斜率的⾓angle of inclination 倾斜⾓angle of intersection 相交⾓；交⾓angle of projection 投射⾓angle of rotation 旋转⾓angle of the sector 扇形⾓angle sum of a triangle 三⾓形内⾓和angles at a point 同顶⾓angular displacement ⾓移位angular momentum ⾓动量angular motion ⾓运动angular velocity ⾓速度annum(X% per annum) 年（年利率X%）anti-clockwise direction 逆时针⽅向；返时针⽅向anti-clockwise moment 逆时针⼒矩anti-derivative 反导数; 反微商anti-logarithm 逆对数；反对数anti-symmetric 反对称apex 顶点approach 接近；趋近approximate value 近似值approximation 近似；略计；逼近Arabic system 阿刺伯数字系统arbitrary 任意arbitrary constant 任意常数arc 弧arc length 弧长arc-cosine function 反余弦函数arc-sin function 反正弦函数arc-tangent function 反正切函数area ⾯积Argand diagram 阿根图, 阿⽒图argument (1)论证; (2)辐⾓argument of a complex number 复数的辐⾓argument of a function 函数的⾃变量arithmetic 算术arithmetic mean 算术平均；等差中顶；算术中顶arithmetic progression 算术级数；等差级数arithmetic sequence 等差序列arithmetic series 等差级数arm 边array 数组; 数组arrow 前号ascending order 递升序ascending powers of X X 的升幂assertion 断语; 断定associative law 结合律assumed mean 假定平均数assumption 假定；假设asymmetrical ⾮对称asymptote 渐近　asymptotic error constant 渐近误差常数at rest 静⽌augmented matrix 增⼴矩阵auxiliary angle 辅助⾓auxiliary circle 辅助圆auxiliary equation 辅助⽅程average 平均；平均数；平均值average speed 平均速率axiom 公理axiom of existence 存在公理axiom of extension 延伸公理axiom of inclusion 包含公理axiom of pairing 配对公理axiom of power 幂集公理axiom of specification 分类公理axiomatic theory of probability 概率公理论axis 轴axis of parabola 拋物线的轴axis of revolution 旋转轴axis of rotation 旋转轴axis of symmetry 对称轴back substitution 回代bar chart 棒形图；条线图；条形图；线条图base （1）底；（2）基；基数base angle 底⾓base area 底⾯base line 底线　base number 底数；基数base of logarithm 对数的底basis 基Bayes' theorem 贝叶斯定理bearing ⽅位（⾓）；⾓⽅向（⾓）bell-shaped curve 钟形图belong to 属于Bernoulli distribution 伯努利分布Bernoulli trials 伯努利试验bias 偏差；偏倚biconditional 双修件式; 双修件句bijection 对射; 双射; 单满射bijective function 对射函数; 只射函数billion ⼗亿bimodal distribution 双峰分布binary number ⼆进数binary operation ⼆元运算binary scale ⼆进法binary system ⼆进制binomial ⼆项式binomial distribution ⼆项分布binomial expression ⼆项式binomial series ⼆项级数binomial theorem ⼆项式定理bisect 平分；等分bisection method 分半法；分半⽅法bisector 等分线　；平分线　Boolean algebra 布尔代数boundary condition 边界条件boundary line 界（线）；边界bounded 有界的bounded above 有上界的；上有界的bounded below 有下界的；下有界的bounded function 有界函数bounded sequence 有界序列brace ⼤括号bracket 括号breadth 阔度broken line graph 折线图calculation 计算calculator 计算器；计算器calculus (1) 微积分学; (2) 演算cancel 消法；相消canellation law 消去律canonical 典型; 标准capacity 容量cardioid ⼼脏　Cartesian coordinates 笛卡⼉坐标Cartesian equation 笛卡⼉⽅程Cartesian plane 笛卡⼉平⾯Cartesian product 笛卡⼉积category 类型；范畴catenary 悬链　Cauchy sequence 柯西序列Cauchy's principal value 柯西主值Cauchy-Schwarz inequality 柯西 - 许⽡尔兹不等式central limit theorem 中⼼极限定理central line 中线　central tendency 集中趋centre 中⼼；⼼centre of a circle 圆⼼centre of gravity 重⼼centre of mass 质量中⼼centrifugal force 离⼼⼒centripedal acceleration 向⼼加速度centripedal force force 向⼼⼒centroid 形⼼；距⼼certain event 必然事件chain rule 链式法则chance 机会change of axes 坐标轴的变换change of base 基的变换change of coordinates 坐标轴的变换change of subject 主项变换change of variable 换元；变量的换characteristic equation 特征(征)⽅程characteristic function 特征(征)函数characteristic of logarithm 对数的⾸数; 对数的定位部characteristic root 特征(征)根chart 图；图表check digit 检验数位checking 验算chord 弦chord of contact 切点弦circle 圆circular 圆形；圆的circular function 圆函数；三⾓函数circular measure 弧度法circular motion 圆周运动circular permutation 环形排列; 圆形排列; 循环排列circumcentre 外⼼；外接圆⼼circumcircle 外接圆circumference 圆周circumradius 外接圆半径circumscribed circle 外接圆cissoid 蔓叶　class 区；组；类class boundary 组界class interval 组区间；组距class limit 组限；区限class mark 组中点；区中点classical theory of probability 古典概率论classification 分类clnometer 测斜仪clockwise direction 顺时针⽅向clockwise moment 顺时针⼒矩closed convex region 闭凸区域closed interval 闭区间coaxial 共轴coaxial circles 共轴圆coaxial system 共轴系coded data 编码数据coding method 编码法co-domain 上域coefficient 系数coefficient of friction 摩擦系数coefficient of restitution 碰撞系数; 恢复系数coefficient of variation 变差系数cofactor 余因⼦; 余因式cofactor matrix 列矩阵coincide 迭合；重合collection of terms 并项collinear 共线　collinear planes 共线⾯collision 碰撞column (1)列；纵⾏；(2) 柱column matrix 列矩阵column vector 列向量combination 组合common chord 公弦common denominator 同分母；公分母common difference 公差common divisor 公约数；公约common factor 公因⼦；公因⼦common logarithm 常⽤对数common multiple 公位数；公倍common ratio 公⽐common tangent 公切　commutative law 交换律comparable 可⽐较的compass 罗盘compass bearing 罗盘⽅位⾓compasses 圆规compasses construction 圆规作图compatible 可相容的complement 余；补余complement law 补余律complementary angle 余⾓complementary equation 补充⽅程complementary event 互补事件complementary function 余函数complementary probability 互补概率complete oscillation 全振动completing the square 配⽅complex conjugate 复共轭complex number 复数complex unmber plane 复数平⾯complex root 复数根component 分量component of force 分⼒composite function 复合函数; 合成函数composite number 复合数；合成数composition of mappings 映射构合composition of relations 复合关系compound angle 复⾓compound angle formula 复⾓公式compound bar chart 综合棒形图compound discount 复折扣compound interest 复利；复利息compound probability 合成概率compound statement 复合命题; 复合叙述computation 计算computer 计算机；电⼦计算器concave 凹concave downward 凹向下的concave polygon 凹多边形concave upward 凹向上的concentric circles 同⼼圆concept 概念conclusion 结论concurrent 共点concyclic 共圆concyclic points 共圆点condition 条件conditional 条件句；条件式conditional identity 条件恒等式conditional inequality 条件不等式conditional probability 条件概率cone 锥；圆锥（体）confidence coefficient 置信系数confidence interval 置信区间confidence level 置信⽔平confidence limit 置信极限confocal section 共焦圆锥曲　congruence (1)全等；(2)同余congruence class 同余类congruent 全等congruent figures 全等图形congruent triangles 全等三⾓形conic ⼆次曲　; 圆锥曲　conic section ⼆次曲　; 圆锥曲　conical pendulum 圆锥摆conjecture 猜想conjugate 共轭conjugate axis 共轭conjugate diameters 共轭轴conjugate hyperbola 共轭(直)径conjugate imaginary / complex number 共轭双曲　conjugate radical 共轭虚/复数conjugate surd 共轭根式; 共轭不尽根conjunction 合取connective 连词connector box 捙接框consecutive integers 连续整数consecutive numbers 连续数；相邻数consequence 结论；推论consequent 条件；后项conservation of energy 能量守恒conservation of momentum 动量守恒conserved 守恒consistency condition 相容条件consistent ⼀贯的；相容的consistent estimator 相容估计量constant 常数constant acceleration 恒加速度constant force 恒⼒constant of integration 积分常数constant speed 恒速率constant term 常项constant velocity 怛速度constraint 约束；约束条件construct 作construction 作图construction of equation ⽅程的设⽴continued proportion 连⽐例continued ratio 连⽐continuity 连续性continuity correction 连续校正continuous 连续的continuous data 连续数据continuous function 连续函数continuous proportion 连续⽐例continuous random variable 连续随机变量contradiction ⽭盾converge 收敛convergence 收敛性convergent 收敛的convergent iteration 收敛的迭代convergent sequence 收敛序列convergent series 收敛级数converse 逆(定理)converse of a relation 逆关系converse theorem 逆定理conversion 转换convex 凸convex polygon 凸多边形convexity 凸性coordinate 坐标coordinate geometry 解析⼏何；坐标⼏何coordinate system 坐标系系定理；系；推论coplanar 共⾯coplanar forces 共⾯⼒coplanar lines 共⾯　co-prime 互质; 互素corollary 系定理; 系; 推论correct to 准确⾄；取值⾄correlation 相关correlation coefficient 相关系数correspondence 对应corresponding angles (1)同位⾓；(2)对应⾓corresponding element 对应边corresponding sides 对应边cosecant 余割cosine 余弦cosine formula 余弦公式cost price 成本cotangent 余切countable 可数countable set 可数集countably infinite 可数⽆限counter clockwise direction 逆时针⽅向；返时针⽅向counter example 反例counting 数数；计数couple ⼒偶Carmer's rule 克莱玛法则criterion 准则critical point 临界点critical region 临界域cirtical value 临界值cross-multiplication 交叉相乘cross-section 横切⾯；横截⾯；截痕cube 正⽅体；⽴⽅；⽴⽅体cube root ⽴⽅根cubic 三次⽅；⽴⽅；三次(的)cubic equation 三次⽅程cubic roots of unity 单位的⽴⽅根cuboid 长⽅体；矩体cumulative 累积的cumulative distribution function 累积分布函数cumulative frequecy 累积频数；累积频率cumulative frequency curve 累积频数曲　cumulative frequcncy distribution 累积频数分布cumulative frequency polygon 累积频数多边形；累积频率直⽅图curvature of a curve 曲线的曲率curve 曲线　curve sketching 曲线描绘(法)curve tracing 曲线描迹(法)curved line 曲线　curved surface 曲⾯curved surface area 曲⾯⾯积cyclic expression 输换式cyclic permutation 圆形排列cyclic quadrilateral 圆内接四边形cycloid 旋输线; 摆线cylinder 柱；圆柱体cylindrical 圆柱形的damped oscillation 阻尼振动data 数据De Moivre's theorem 棣美弗定理De Morgan's law 德摩根律decagon ⼗边形decay 衰变decay factor 衰变因⼦decelerate 减速decelaration 减速度decile ⼗分位数decimal ⼩数decimal place ⼩数位decimal point ⼩数点decimal system ⼗进制decision box 判定框declarative sentence 说明语句declarative statement 说明命题decoding 译码decrease 递减decreasing function 递减函数；下降函数decreasing sequence 递减序列；下降序列decreasing series 递减级数；下降级数decrement 减量deduce 演绎deduction 推论deductive reasoning 演绎推理definite 确定的；定的definite integral 定积分definition 定义degenerated conic section 降级锥曲线degree (1) 度; (2) 次degree of a polynomial 多项式的次数degree of accuracy 准确度degree of confidence 置信度degree of freedom ⾃由度degree of ODE 常微分⽅程次数degree of precision 精确度delete 删除; 删去denary number ⼗进数denominator 分母dependence (1)相关; (2)应变dependent event(s) 相关事件; 相依事件; 从属事件dependent variable 应变量; 应变数depreciation 折旧derivable 可导derivative 导数derived curve 导函数曲线derived function 导函数derived statistics 推算统计资料; 派⽣统计资料descending order 递降序descending powers of x x 的降序descriptive statistics 描述统计学detached coefficients 分离系数(法) determinant ⾏列式deviation 偏差; 变差deviation from the mean 离均差diagonal 对⾓线diagonal matrix 对⾓矩阵diagram 图; 图表diameter 直径diameter of a conic ⼆次曲线的直径difference 差difference equation 差分⽅程difference of sets 差集differentiable 可微differential 微分differential coefficient 微商; 微分系数differential equation 微分⽅程differential mean value theorem 微分中值定理differentiate 求...的导数differentiate from first principle 从基本原理求导数differentiation 微分法digit 数字dimension 量; 量⽹; 维(数)direct impact 直接碰撞direct image 直接像direct proportion 正⽐例direct tax, direct taxation 直接税direct variation 正变(分)directed angle 有向⾓directed line 有向直线directed line segment 有向线段directed number 有向数direction ⽅向; ⽅位direction angle ⽅向⾓direction cosine ⽅向余弦direction number ⽅向数direction ratio ⽅向⽐directrix 准线Dirichlet function 狄利克来函数discontinuity 不连续性discontinuous 间断(的);连续(的); 不连续(的) discontinuous point 不连续点discount 折扣discrete 分⽴; 离散discrete data 离散数据; 间断数据discrete random variable 间断随机变数discrete uniform distribution 离散均匀分布discriminant 判别式disjoint 不相交的disjoint sets 不相交的集disjunction 析取dispersion 离差displacement 位移disprove 反证distance 距离distance formula 距离公式distinct roots 相异根distincr solution 相异解distribution 公布distributive law 分配律diverge 发散divergence 发散(性)divergent 发散的divergent iteration 发散性迭代divergent sequence 发散序列divergent series 发散级数divide 除dividend (1)被除数；(2)股息divisible 可整除division 除法division algorithm 除法算式divisor 除数；除式；因⼦divisor of zero 零因⼦dodecagon ⼗⼆边形domain 定义域dot 点dot product 点积double angle ⼆倍⾓double angle formula ⼆倍⾓公式double root ⼆重根dual 对偶duality (1)对偶性; (2) 双重性due east/ south/ west /north 向东/ 南/ 西/ 北dynamics 动⼒学eccentric angle 离⼼⾓eccentric circles 离⼼圆eccentricity 离⼼率echelon form 梯阵式echelon matrix 梯矩阵edge 棱；边efficient estimator 有效估计量effort 施⼒eigenvalue 本征值eigenvector 本征向量elastic body 弹性体elastic collision 弹性碰撞elastic constant 弹性常数elastic force 弹⼒elasticity 弹性element 元素elementary event 基本事件elementary function 初等函数elementary row operation 基本⾏运算elimination 消法elimination method 消去法；消元法ellipse 椭圆ellipsiod 椭球体elliptic function 椭圆函数elongation 伸张；展empirical data 实验数据empirical formula 实验公式empirical probability 实验概率；经验概率empty set 空集encoding 编码enclosure 界限end point 端点energy 能; 能量entire surd 整⽅根epicycloid 外摆线equal 相等equal ratios theorem 等⽐定理equal roots 等根equal sets 等集equality 等(式)equality sign 等号equation ⽅程equation in one unknown ⼀元⽅程equation in two unknowns (variables) ⼆元⽅程equation of a straight line 直线⽅程equation of locus 轨迹⽅程equiangular 等⾓(的)equidistant 等距(的)equilateral 等边(的)equilateral polygon 等边多边形equilateral triangle 等边三⾓形equilibrium 平衡equiprobable 等概率的equiprobable space 等概率空间equivalence 等价equivalence class 等价类equivalence relation 等价关系equivalent 等价(的)error 误差error allowance 误差宽容度error estimate 误差估计error term 误差项error tolerance 误差宽容度escribed circle 旁切圆estimate 估计；估计量estimator 估计量Euclidean algorithm 欧⼏⾥德算法Euclidean geometry 欧⼏⾥德⼏何Euler's formula 尤拉公式；欧拉公式evaluate 计值even function 偶函数even number 偶数evenly distributed 均匀分布的event 事件exact 真确exact differential form 恰当微分形式exact solution 准确解；精确解；真确解exact value 法确解；精确解；真确解example 例excentre 外⼼exception 例外excess 起exclusive 不包含exclusive disjunction 不包含性析取exclusive events 互斥事件exercise 练习exhaustive event(s) 彻底事件existential quantifier 存在量词expand 展开expand form 展开式expansion 展式expectation 期望expectation value, expected value 期望值；预期值experiment 实验；试验experimental 试验的experimental probability 实验概率explicit function 显函数exponent 指数exponential function 指数函数exponential order 指数阶; 指数级express…in terms of… 以………表达expression 式；数式extension 外延；延长；扩张；扩充extension of a function 函数的扩张exterior angle 外⾓external angle bisector 外分⾓　external point of division 外分点extreme point 极值点extreme value 极值extremum 极值face ⾯factor 因⼦；因式；商factor method 因式分解法factor theorem 因⼦定理；因式定理factorial 阶乘factorization 因⼦分解；因式分解factorization of polynomial 多项式因式分解fallacy 谬误FALSE 假(的)falsehood 假值family 族family of circles 圆族family of concentric circles 同⼼圆族family of straight lines 直线族feasible solution 可⾏解；容许解Fermat's last theorem 费尔马最后定理Fibonacci number 斐波那契数；黄⾦分割数Fibonacci sequence 斐波那契序列fictitious mean 假定平均数figure (1)图(形)；(2)数字final velocity 末速度finite 有限finite dimensional vector space 有限维向量空间finite population 有限总体finite probability space 有限概率空间finite sequence 有限序列finite series 有限级数finite set 有限集first approximation ⾸近似值first derivative ⼀阶导数first order differential equation ⼀阶微分⽅程first projection 第⼀投影; 第⼀射影first quartile 第⼀四分位数first term ⾸项fixed deposit 定期存款fixed point 定点fixed point iteration method 定点迭代法fixed pulley 定滑轮flow chart 流程图focal chord 焦弦focal length 焦距focus(foci) 焦点folium of Descartes 笛卡⼉叶形线foot of perpendicular 垂⾜for all X 对所有Xfor each /every X 对每⼀Xforce ⼒forced oscillation 受迫振动form 形式；型formal proof 形式化的证明format 格式；规格formula(formulae) 公式four leaved rose curve 四瓣玫瑰线four rules 四则four-figure table 四位数表fourth root 四次⽅根fraction 分数；分式fraction in lowest term 最简分数fractional equation 分式⽅程fractional index 分数指数fractional inequality 分式不等式free fall ⾃由下坠free vector ⾃由向量; ⾃由⽮量frequency 频数；频率frequency distribution 频数分布；频率分布frequency distribution table 频数分布表frequency polygon 频数多边形；频率多边形friction 摩擦; 摩擦⼒frictionless motion ⽆摩擦运动frustum 平截头体fulcrum ⽀点function 函数function of function 复合函数；迭函数functional notation 函数记号fundamental theorem of algebra 代数基本定理fundamental theorem of calculus 微积分基本定理gain 增益；赚；盈利gain perent 赚率；增益率；盈利百分率game （1）对策；（2）博奕Gaussian distribution ⾼斯分布Gaussian elimination ⾼斯消去法general form ⼀般式；通式general solution 通解；⼀般解general term 通项generating function 母函数; ⽣成函数generator (1)母线; (2)⽣成元geoborad ⼏何板geometric distribution ⼏何分布geometric mean ⼏何平均数；等⽐中项geometric progression ⼏何级数；等⽐级数geometric sequence 等⽐序列geometric series 等⽐级数geometry ⼏何；⼏何学given 给定；已知global 全局; 整体global maximum 全局极⼤值; 整体极⼤值global minimum 全局极⼩值; 整体极⼩值golden section 黄⾦分割grade 等级gradient (1)斜率；倾斜率；(2)梯度grand total 总计graph 图像；图形；图表graph paper 图表纸graphical method 图解法graphical representation 图⽰；以图样表达graphical solution 图解gravity 重⼒greatest term 最⼤项greatest value 最⼤值grid lines ⽹⽹格线group 组；　grouped data 分组数据；分类数据grouping terms 并项；集项growth 增长growth factor 增长因⼦half angle 半⾓half angle formula 半⾓公式half closed interval 半闭区间half open interval 半开区间harmonic mean (1) 调和平均数; (2) 调和中项harmonic progression 调和级数head 正⾯（钱币）height ⾼（度）helix 螺旋线hemisphere 半球体；半球heptagon 七边形Heron's formula 希罗公式heterogeneous (1)参差的; (2)不纯⼀的hexagon 六边形higher order derivative ⾼阶导数highest common factor(H.C.F) 最⼤公因⼦；最⾼公因式；最⾼公因⼦Hindu-Arabic numeral 阿刺伯数字histogram 组织图；直⽅图；矩形图Holder's Inequality 赫⽿德不等式homogeneous 齐次的homogeneous equation 齐次⽅程Hooke's law 虎克定律horizontal ⽔平的；⽔平horizontal asymptote ⽔平渐近线horizontal component ⽔平分量horizontal line 横线　；⽔平线　horizontal range ⽔平射程hyperbola 双曲线　hyperbolic function 双曲函数hypergeometric distribution 超⼏何分布hypocycloid 内摆线hypotenuse 斜边hypothesis 假设hypothesis testing 假设检验hypothetical syllogism 假设三段论hypotrochoid 次内摆线idempotent 全幂等的identical 全等；恒等identity 等（式）identity element 单位元identity law 同⼀律identity mapping 恒等映射identity matrix 恒等矩阵identity relation 恒等关系式if and only if/iff 当且仅当；若且仅若if…, then 若….则；如果…..则illustration 例证；说明image 像点；像image axis 虚轴imaginary circle 虚圆imaginary number 虚数imaginary part 虚部imaginary root 虚根imaginary unit 虚数单位impact 碰撞implication 蕴涵式；蕴含式implicit definition 隐定义implicit function 隐函数impossible event 不可能事件improper fraction 假分数improper integral ⼴义积分; ⾮正常积分impulse 冲量impulsive force 冲⼒incentre 内⼒incircle 内切圆inclination 倾⾓；斜⾓inclined plane 斜⾯included angle 夹⾓included side 夹边inclusion mapping 包含映射inclusive 包含的；可兼的inclusive disjunction 包含性析取；可兼析取inconsistent 不相的(的)；不⼀致(的) increase 递增；增加increasing function 递增函数increasing sequence 递增序列increasing series 递增级数increment 增量indefinite integral 不定积分idenfinite integration 不定积分法independence 独⽴；⾃变independent equations 独⽴⽅程independent event 独⽴事件independent variable ⾃变量；独⽴变量indeterminate (1)不定的；(2)不定元；未定元indeterminate coefficient 不定系数；未定系数indeterminate form 待定型；不定型index,indices 指数；指index notation 指数记数法induced operation 诱导运算induction hypothesis 归纳法假设inelastic collision ⾮弹性碰撞inequality 不等式；不等inequality sign 不等号inertia 惯性；惯量infer 推断inference 推论infinite ⽆限；⽆穷infinite dimensional ⽆限维infinite population ⽆限总体infinite sequence ⽆限序列；⽆穷序列infinite series ⽆限级数；⽆穷级数infinitely many ⽆穷多infinitesimal ⽆限⼩；⽆穷⼩infinity ⽆限(⼤)；⽆穷(⼤)inflection (inflexion) point 拐点；转折点inherent error 固有误差initial approximation 初始近似值initial condition 原始条件；初值条件initial point 始点；起点initial side 始边initial value 初值；始值initial velocity 初速度initial-value problem 初值问题injection 内射injective function 内射函数inner product 内积input 输⼊input box 输⼊inscribed circle 内切圆insertion 插⼊insertion of brackets 加括号instantaneous 瞬时的instantaneous acceleration 瞬时加速度instantaneous speed 瞬时速率integer 整数integrable 可积integrable function 可积函数integral 积分integral index 整数指数integral mean value theorem 积数指数integral part 整数部份integral solution 整数解integral value 整数值integrand 被积函数integrate 积；积分；......的积分integrating factor 积分因⼦integration 积分法integration by parts 分部积分法integration by substitution 代换积分法；换元积分法integration constant 积分常数interaction 相互作⽤intercept 截距；截段intercept form 截距式intercept theorem 截线定理interchange 互换interest 利息interest rate 利率interest tax 利息税interior angle 内⾓interior angles on the same side of the transversal 同旁内⾓interior opposite angle 内对⾓intermediate value theorem 介值定理internal bisector 内分⾓　internal division 内分割internal energy 内能internal force 内⼒internal point of division 内分点interpolating polynomial 插值多项式interpolation 插值inter-quartile range 四分位数间距intersect 相交intersection (1)交集；(2)相交；(3)交点interval 区间interval estimation 区间估计；区域估计intuition 直观invalid 失效；⽆效invariance 不变性invariant (1)不变的；(2)不变量；不变式inverse 反的；逆的inverse circular function 反三⾓函数inverse cosine function 反余弦函数inverse function 反函数；逆函数inverse cosine function 反三⾓函数inverse function 反函数；逆映射inverse mapping 反向映射；逆映射inverse matrix 逆矩阵inverse problem 逆算问题inverse proportion 反⽐例；逆⽐例inverse relation 逆关系inverse sine function 反正弦函数inverse tangent function 反正切函数inverse variation 反变(分)；逆变(分)invertible 可逆的invertible matrix 可逆矩阵irrational equation ⽆理⽅程irrational number ⽆理数irreducibility 不可约性irregular 不规则isomorphism 同构isosceles triangle 等腰三⾓形iterate (1)迭代值; (2)迭代iteration form 迭代形iterative function 迭代函数iterative method 迭代法jet propulsion 喷⽓推进joint variation 联变(分)；连变(分)kinetic energy 动能kinetic friction 动摩擦known ⼰知L.H.S. 末项L'Hospital's rule 洛必达法则Lagrange interpolating polynomial 拉格朗⽇插值多项代Lagrange theorem 拉格朗⽇定理Lami's law 拉密定律Laplace expansion 拉普拉斯展式last term 末项latent root 本征根; ⾸通径lattice point 格点latus rectum 正焦弦; ⾸通径law 律；定律law of conservation of momentum 动量守恒定律law of indices 指数律；指数定律law of inference 推论律law of trichotomy 三分律leading coefficient ⾸项系数leading diagonal 主对⾓线least common multiple, lowest common multiple (L.C.M) 最⼩公倍数；最低公倍式least value 最⼩值left hand limit 左⽅极限lemma 引理lemniscate 双纽线length 长(度)letter ⽂字；字母like surd 同类根式like terms 同类项limacon 蜗⽜线limit 极限limit of sequence 序列的极限limiting case 极限情况limiting friction 最⼤静摩擦limiting position 极限位置line 线；⾏line of action 作⽤⼒线line of best-fit 最佳拟合　line of greatest slope 最⼤斜率的直　；最⼤斜率　line of intersection 交线　line segment 线段linear 线性；⼀次linear convergence 线性收敛性linear differeantial equation 线性微分⽅程linear equation 线性⽅程；⼀次⽅程linear equation in two unknowns ⼆元⼀次⽅程；⼆元线性⽅程linear inequality ⼀次不等式；线性不等式linear momentum 线动量linear programming 线性规划linearly dependent 线性相关的linearly independent 线性⽆关的literal coefficient ⽂字系数literal equation ⽂字⽅程load 负荷loaded coin 不公正钱币loaded die 不公正骰⼦local maximum 局部极⼤(值)local minimum 局部极⼩(值)locus, loci 轨迹logarithm 对数logarithmic equation 对数⽅程logarithmic function 对数函数logical deduction 逻辑推论；逻辑推理logical step 逻辑步骤long division method 长除法loop 回路loss 赔本；亏蚀loss per cent 赔率；亏蚀百分率lower bound 下界lower limit 下限lower quartile 下四分位数lower sum 下和lower triangular matrix 下三⾓形矩阵lowest common multiple(L.C.M) 最⼩公倍数machine 机械Maclaurin expansion 麦克劳林展开式Maclaurin series 麦克劳林级数magnitude 量；数量；长度；⼤⼩major arc 优弧；⼤弧major axis 长轴major sector 优扇形；⼤扇形major segment 优⼸形；⼤⼸形mantissa 尾数mantissa of logarithm 对数的尾数；对数的定值部many to one 多个对⼀个many-sided figure 多边形many-valued 多值的map into 映⼊map onto 映上mapping 映射marked price 标价Markov chain 马可夫链mass 质量mathematical analysis 数学分析mathematical induction 数学归纳法mathematical sentence 数句mathematics 数学matrix 阵; 矩阵matrix addition 矩阵加法matrix equation 矩阵⽅程matrix multiplication 矩阵乘法matrix operation 矩阵运算maximize 极⼤maximum absolute error 最⼤绝对误差maximum point 极⼤点maximum value 极⼤值mean 平均(值)；平均数；中数mean deviation 中均差；平均偏差mean value theorem 中值定理measure of dispersion 离差的量度measurement 量度mechanical energy 机械能median (1)中位数；(2)中线　meet 相交；相遇mensuration 计量；求积法method ⽅法method of completing square 配⽅法method of interpolation 插值法; 内插法method of least squares 最⼩⼆乘法; 最⼩平⽅法method of substitution 代换法；换元法method of successive substitution 逐次代换法; 逐次调替法method of superposition 迭合法metric unit ⼗进制单位mid-point 中点mid-point formula 中点公式mid-point theorem 中点定理million 百万minimize 极⼩minimum point 极⼩点Minkowski Inequality 闵可夫斯基不等式minor (1)⼦⾏列式；(2)劣；较⼩的minor arc 劣弧；⼩弧minor axis 短轴minor of a determinant ⼦⾏列式minor sector 劣扇形；⼩扇形minor segment 劣⼸形；⼩⼸形minus 减minute 分mixed number(fraction) 带分数modal class 众数组mode 众数model 模型modulo (1)模; 模数; (2)同余modulo arithmetic 同余算术modulus 模; 模数modulus of a complex number 复数的模modulus of elasticity 弹性模(数)moment arm (1)矩臂; (2)⼒臂moment of a force ⼒矩moment of inertia 贯性矩momentum 动量monomial 单项式monotone 单调monotonic convergence 单调收敛性monotonic decreasing 单调递减monotonic decreasing function 单调递减函数monotonic function 单调函数monotonic increasing 单调递增monotonic increasing function 单调递增函数motion 运动movable pulley 动滑轮multinomial 多项式multiple 倍2；数multiple angle 倍⾓multiple-angle formula 倍⾓公式multiple root 多重根multiplicand 被乘数multiplication 乘法multiplication law (of probability) (概率)乘法定律multiplicative inverse 乘法逆元multiplicative property 可乘性multiplicity 重数multiplier 乘数；乘式multiply 乘multi-value 多值的mulually disjoint 互不相交mutually exclusive events 互斥事件mutually independent 独⽴; 互相独⽴mutually perpendicular lines 互相垂直　n factorial n 阶乘n th derivative n 阶导数n th root n 次根；n 次⽅根n the root of unity 单位的n 次根Napierian logarithm 纳⽪尔对数; ⾃然对数natural logarithm ⾃然对数natural number ⾃然数natural surjection ⾃然满射necessary and sufficient condition 充要条件necessary condition 必要条件negation 否定式negative 负negative angle 负⾓negative binomial distribution 负⼆项式分布negative index 负指数negative integer 负整数negative number 负数。

高中数学常用词汇中汉对照

公理化方法：axiomatic method反证法：proof by contradiction超限归纳法：transfinite induction数学归纳法：mathematical induction线形空间法：linear space method矩阵运算法：matrix operations代数集合法：method of algebraic geometry代数拓扑法：method of algebraic topology向量分析法：method of vector analysis坐标法：method of coordinate system张量分析法：method of tensor analysis欧氏几何法：method of Euclidean geometry非欧几何法：method of non-Euclidean geometry点集拓扑法：point set topology射影几何法：method of projective geometry解析几何法：method of analytic geometry微分几何法：method of differential geometry微分拓扑法：method of differential topology不动点法：fixed point method正交函数系法：method of orthogonal function system压缩映射法：method of reduced mapping极限法：limit process泛函分析法：method of functional analysis变分法：calculus of variations实变函数法：method of real variable function线形化法：method of linearization待定系数法：method of undetermined coefficient保角变换法：method of conformal transformation复变函数法：method of complex function积分变换法：method of integral transformation留数法：residue method常数变易法：variation of parameter渐近展开法：method of asymptotic expansion微分方程定性分析法：method of qualitative analysis of differential equations 解析延拓法：analytic continuation稳定性间接法：indirect method of stability稳定性直接法：method of direct stability摄动法：method of perturbation数学英语词汇表一般词汇数学mathematics, maths(BrE), math(AmE)公理axiom定理theorem计算calculation运算operation证明prove假设hypothesis, hypotheses(pl.)命题proposition算术arithmetic加plus(prep.), add(v.), addition(n.)被加数augend, summand加数addend和sum减minus(prep.), subtract(v.), subtraction(n.) 被减数minuend减数subtrahend差remainder乘times(prep.), multiply(v.), multiplication(n.) 被乘数multiplicand, faciend乘数multiplicator积product除divided by(prep.), divide(v.), division(n.)被除数dividend除数divisor商quotient等于equals, is equal to, is equivalent to大于is greater than小于is lesser than大于等于is equal or greater than小于等于is equal or lesser than运算符operator数字digit数number自然数natural number整数integer小数decimal小数点decimal point分数fraction分子numerator分母denominator比ratio正positive负negative零null, zero, nought, nil十进制decimal system二进制binary system十六进制hexadecimal system权weight, significance进位carry截尾truncation四舍五入round下舍入round down上舍入round up有效数字significant digit无效数字insignificant digit代数algebra公式formula, formulae(pl.)单项式monomial多项式polynomial, multinomial系数coefficient未知数unknown, x-factor, y-factor, z-factor 等式，方程式equation一次方程simple equation二次方程quadratic equation三次方程cubic equation四次方程quartic equation不等式inequation阶乘factorial对数logarithm指数，幂exponent乘方power二次方，平方square三次方，立方cube四次方the power of four, the fourth power n次方the power of n, the nth power开方evolution, extraction二次方根，平方根square root三次方根，立方根cube root四次方根the root of four, the fourth rootn次方根the root of n, the nth root集合aggregate元素element空集void子集subset交集intersection并集union补集complement映射mapping函数function定义域domain, field of definition值域range常量constant变量variable单调性monotonicity奇偶性parity周期性periodicity图象image数列，级数series微积分calculus微分differential导数derivative极限limit无穷大infinite(a.) infinity(n.) 无穷小infinitesimal积分integral定积分definite integral不定积分indefinite integral 有理数rational number无理数irrational number实数real number虚数imaginary number复数complex number矩阵matrix行列式determinant几何geometry点point线line面plane体solid线段segment射线radial平行parallel相交intersect角angle角度degree弧度radian锐角acute angle直角right angle钝角obtuse angle平角straight angle周角perigon底base边side高height三角形triangle锐角三角形acute triangle直角三角形right triangle直角边leg斜边hypotenuse勾股定理Pythagorean theorem钝角三角形obtuse triangle不等边三角形scalene triangle等腰三角形isosceles triangle等边三角形equilateral triangle四边形quadrilateral平行四边形parallelogram矩形rectangle长length宽width菱形rhomb, rhombus, rhombi(pl.), diamond 正方形square梯形trapezoid直角梯形right trapezoid等腰梯形isosceles trapezoid五边形pentagon六边形hexagon七边形heptagon八边形octagon九边形enneagon十边形decagon十一边形hendecagon十二边形dodecagon多边形polygon正多边形equilateral polygon圆circle圆心centre(BrE), center(AmE)半径radius直径diameter圆周率pi弧arc半圆semicircle扇形sector环ring椭圆ellipse圆周circumference周长perimeter面积area轨迹locus, loca(pl.)相似similar全等congruent四面体tetrahedron五面体pentahedron六面体hexahedron平行六面体parallelepiped 立方体cube七面体heptahedron八面体octahedron九面体enneahedron十面体decahedron十一面体hendecahedron十二面体dodecahedron二十面体icosahedron多面体polyhedron棱锥pyramid棱柱prism棱台frustum of a prism旋转rotation轴axis圆锥cone圆柱cylinder圆台frustum of a cone球sphere半球hemisphere底面undersurface表面积surface area体积volume空间space坐标系coordinates坐标轴x-axis, y-axis, z-axis 横坐标x-coordinate纵坐标y-coordinate原点origin双曲线hyperbola抛物线parabola三角trigonometry正弦sine余弦cosine正切tangent余切cotangent正割secant余割cosecant反正弦arc sine反余弦arc cosine反正切arc tangent反余切arc cotangent反正割arc secant反余割arc cosecant相位phase周期period振幅amplitude内心incentre(BrE), incenter(AmE)外心excentre(BrE), excenter(AmE)旁心escentre(BrE), escenter(AmE)垂心orthocentre(BrE), orthocenter(AmE)重心barycentre(BrE), barycenter(AmE)内切圆inscribed circle外切圆circumcircle统计statistics平均数average加权平均数weighted average方差variance标准差root-mean-square deviation, standard deviation 比例propotion百分比percent百分点percentage百分位数percentile排列permutation组合combination概率，或然率probability分布distribution正态分布normal distribution非正态分布abnormal distribution图表graph条形统计图bar graph柱形统计图histogram折线统计图broken line graph曲线统计图curve diagram扇形统计图pie diagramreal number 实数negative 负的the real number system 实数系rational number 有理数collection 集体,总体ratio 比,比率object 对象,目的denominator 分母principle 原理,规则numerator 分子adopt 采用irrational number 无理数define 定义(动词) signify 表示definition 定义(名词) geometrical 几何的establish 建立straight line 直线explicit 清晰的,明显的initial point 初始点illustrate 说明point of reference 参考点positive 正的origin 原点express 表达assign 指定plus 加unit 单位sign 记号,符号,正负号property 性质operation 运算,操作closure property 封闭性质addition 加法commutative 交换的multiplication 乘法associative 结合的substraction 减法parentheses 圆括号division 除法brackets 括号sum 和,总数algebra 代数procuct 乘积yield 产生difference 差,差分term 术语,项quotient 商distributive 分配的symbolism 符号系统unique 唯一的minus 减additive inverse 加法逆运算identify 使同一multiplicative inverse 乘法逆运算count 计数reciprocal 倒数,互逆natural number 自然数concept 概念zero 零fraction 分数integer 整数arithmetic 算术的greater than 大于solution 解,解法less than 小于even 偶的be equal to 等于odd 奇的arbitrary 任意的square 平方absolute value 绝对值square root 平方根cube 立方induction 归纳法算法常用术语中英对照Data Structures 基本数据结构Dictionaries 字典Priority Queues 堆Graph Data Structures 图Set Data Structures 集合Kd-Trees 线段树Numerical Problems 数值问题Solving Linear Equations 线性方程组Bandwidth Reduction 带宽压缩Matrix Multiplication 矩阵乘法Determinants and Permanents 行列式Constrained and Unconstrained Optimization 最值问题Linear Programming 线性规划Random Number Generation 随机数生成Factoring and Primality Testing 因子分解/质数判定Arbitrary Precision Arithmetic 高精度计算Knapsack Problem 背包问题Discrete Fourier Transform 离散Fourier变换Combinatorial Problems 组合问题Sorting 排序Searching 查找Median and Selection 中位数Generating Permutations 排列生成Generating Subsets 子集生成Generating Partitions 划分生成Generating Graphs 图的生成Calendrical Calculations 日期Job Scheduling 工程安排Satisfiability 可满足性Graph Problems -- polynomial 图论-多项式算法Connected Components 连通分支Topological Sorting 拓扑排序Minimum Spanning Tree 最小生成树Shortest Path 最短路径Transitive Closure and Reduction 传递闭包Matching 匹配Eulerian Cycle / Chinese Postman Euler回路/中国邮路Edge and Vertex Connectivity 割边/割点Network Flow 网络流Drawing Graphs Nicely 图的描绘Drawing Trees 树的描绘Planarity Detection and Embedding 平面性检测和嵌入Graph Problems -- hard 图论-NP问题Clique 最大团Independent Set 独立集Vertex Cover 点覆盖Traveling Salesman Problem 旅行商问题Hamiltonian Cycle Hamilton回路Graph Partition 图的划分Vertex Coloring 点染色Edge Coloring 边染色Graph Isomorphism 同构Steiner Tree Steiner树Feedback Edge/Vertex Set 最大无环子图Computational Geometry 计算几何Convex Hull 凸包Triangulation 三角剖分V oronoi Diagrams V oronoi图Nearest Neighbor Search 最近点对查询Range Search 范围查询Point Location 位置查询Intersection Detection 碰撞测试Bin Packing 装箱问题Medial-Axis Transformation 中轴变换Polygon Partitioning 多边形分割Simplifying Polygons 多边形化简Shape Similarity 相似多边形Motion Planning 运动规划Maintaining Line Arrangements 平面分割Minkowski Sum Minkowski和Set and String Problems 集合与串的问题Set Cover 集合覆盖Set Packing 集合配置String Matching 模式匹配Approximate String Matching 模糊匹配Text Compression 压缩Cryptography 密码Finite State Machine Minimization 有穷自动机简化Longest Common Substring 最长公共子串Shortest Common Superstring 最短公共父串robustness 鲁棒性rate of convergence 收敛速度。

1、下载文档前请自行甄别文档内容的完整性，平台不提供额外的编辑、内容补充、找答案等附加服务。
2、"仅部分预览"的文档,不可在线预览部分如存在完整性等问题,可反馈申请退款(可完整预览的文档不适用该条件!)。
3、如文档侵犯您的权益，请联系客服反馈,我们会尽快为您处理(人工客服工作时间：9:00-18:30)。

几何-平面, 立体
quadrilateral 四边形 pentagon 五边形 hexagon 六边形 heptagon 七边形 octagon 八边形 nonagon 九边形 decagon 十边形 polygon 多边形 parallelogram 平行四边形 square 正方形，平方 rectangle长方形 rhombus 菱形 trapezoid 梯形 equilateral 等边形 regular polygon 正多边形 concentric circles 同心圆 line, straight line 直线 line segment 线段 parallel lines 平行线 rectangular solid 长方体 Edge 棱 regular solid/polyhedron 正多面体 circular cylinder 圆柱体 cone 圆锥 sphere 球体 solid 立体
代数-基本数学概念
arithmetic mean 算术平均值 weighted average 加权平均值 geometric mean 几何平均数 exponent 指数 base 底数,底边 cube 立方数，立方体 square root 平方根 cubic root 立方根 common logarithm 常用对数 cardinal 基数 ordinal 序数 constant 常数 variable 变量 inverse function 反函数 linear 一次的，线性的 factorization 因式分解 absolute value 绝对值 round to/off ,to the nearest 四舍五入 difference 差 product 积 quotient 商 divisor 除数 Dividend 被除数 remainder 余数
几何(Geometry)-三角 (Trigonometry)
plane geometry 平面几何 plane 平面 alternate angle 内错角 corresponding angle 同位角 vertical angle 对顶角 supplementary angles 补角 complementary angle 余角 adjacent angle 邻角 right angle 直角 round angle 周角 straight angle 平角 included angle 夹角 central angle 圆心角 interior angle 内角 exterior angle 外角 acute angle 锐角 obtuse angle 钝角 Vertex(复数vertices）顶点 equilateral triangle 等边三角形 scalene triangle 不等边三角形 isosceles triangle 等腰三角形 right triangle 直角三角形 inscribed 内接的，内切的 Circumscribed 外接的，外切的

几何-坐标
arm /leg直角三角形的直角边 hypotenuse 斜边 included side 夹边 Pythagorean theorem 勾股定理 median（三角形的）中线 base底边，底数 opposite 直角三角形中的对边 vertex (复数形式vertices)顶点 midpoint 中点 endpoint 端点 coordinate system 坐标系 Rectangular/Cartesian coordinate 直角坐标系 origin 原点 abscissa 横坐标 ordinate 纵坐标 number line 数轴 quadrant 象限 slope 斜率 transversal 截线 interce 一美分硬币 nickel 5美分硬币 /dime 一角硬币 dozen 打(12个) / score 廿 (20个) Celsius/Centigrade 摄氏/Fahrenheit 华氏 Pint品脱/quart 夸脱/ gallon 加仑 (1 gallon = 4 quart) inch 英寸/ foot 英尺/yard 码 Ounce盎司/pound磅 meter 米/ micron 微米 square measure 平方单位制 Square meter 平方米 cubic meter 立方米
几何-图形概念
bisect 平分 intersect 相交 perpendicular 垂直 congruent 全等的 multilateral 多边的 side 边 circumference, perimeter 周长 diameter 直径 Radius（复数 radii) 半径 chord 弦 arc 弧 semicircle 半圆 radian 弧度 center of a circle 圆心 segment of a circle 弧形 angle bisector 角平分线 diagonal 对角线 cube 立方体，立方数 face of a solid 立体的面 altitude /height高 depth 深度 volume 体积 surface area 表面积
高中数学数学术语
英汉对照版
代数Algebra
Natural /counting number 自然数 positive number 正数 negative number 负数 odd integer/number 奇数 even integer/number 偶数 Integer/whole number 整数 positive whole number 正整数 negative whole number 负整数 consecutive integer 连续整数 real/rational number 实数,有理数 Irrational number 无理数 inverse /reciprocal 倒数 composite number 合数 prime number 质数 multiple 倍数 divisor/factor 因数 Greatest common divisor/factor(gcd) 最大公约 Least common multiple(lcm)最小公倍数 common factor 公因子 common ratio 公比 Non-negative 非负的 Non-positive 非正的 mode 众数 median中值 mean/average 平均数
代数-方程,集合,数列等
algebraic term 代数项 like terms, similar terms 同类项 numerical coefficient 数字系数 literal coefficient 字母系数 inequality 不等式 triangle inequality 三角不等式 domain 定义域 range 值域 original equation 原方程 approximate 近似 (counter) clockwise (逆) 顺时针方向 direct proportion 正比 reverse proportion 反比 parentheses 园括号 Bracket 中括号 Curly brace/curved bracket 花括号 proportion 等比例
算术(Arithmetic)-基本运算, 小数, 分数
Add/plus 加 Subtract/minus 减 Multiply / times 乘 divide 除 divisible by 可被整除的 divided evenly 被整除 factorial 阶乘 power 乘方 radical /root sign 根号 decimal fraction 纯小数 infinite decimal 无穷小数 Recurring/repeating decimal 循环小数 proper fraction 真分数 improper fraction 假分数 mixed number 带分数 simple fraction 简分数 complex fraction 繁分数 numerator 分子 denominator 分母 common denominator 公分母 quarter 四分之一 ordinary /decimal scale 十进制 tens 十位 , units 个位 tenths 十分位