数学专有名词英文
数学英文术语

数学英文术语 IMB standardization office【IMB 5AB- IMBK 08- IMB 2C】代数A L G E B R A 1.数论natural number 自然数positive number 正数negative number 负数odd integer, odd number 奇数even integer, even number 偶数integer, whole number 整数positive whole number 正整数negative whole number 负整数consecutive number 连续整数real number, rational number 实数,有理数irrational(number)无理数inverse 倒数composite number 合数. 4,6,8,9,10,12,14,15… prime number 质数. 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, decimal scale 十进制nonnegative 非负的tens 十位units 个位mode 众数mean平均数median中值common ratio 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complementary function 余函数linear 一次的,线性的factorization 因式分解absolute value 绝对值,.|-32|=32 round off 四舍五入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. 5x+6=22)5.分数,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direct proportion 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complementary angle 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 a circle 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(. 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8.计量单位cent 美分penny 一美分硬币nickel 5美分硬币dime 一角硬币dozen 打(12个)score 廿(20个)Centigrade 摄氏Fahrenheit 华氏quart 夸脱gallon 加仑(1 gallon = 4 quart) yard 码meter 米micron 微米inch 英寸foot 英尺minute 分(角度的度量单位,60分=1度)square measure 平方单位制cubic meter 立方米pint 品脱(干量或液量的单位)数学专业术语词汇代数部分1.有关数学运算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,divisor 因子,除数quotient 商remainder余数factorial 阶乘power 乘方radical sign, root sign根号round to 四舍五入? increase 增加reduce减少3.有关代数式、方程和不等式value值equation 方程algebraic term 代数项like terms, similar terms同类项satisfy 满足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线性方程有关分数和小数fraction 分数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percent百分之5.基本数学概念average 平均数 maximum/ minimum number 最大/ 最小数square 平方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 not more than不大于less than 小于units’ digit个位数字 sum 和 represent 代表adjacent 相邻的 constant 常数variable 变量inverse function 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,.|-32|=32 round off 四舍五入6.有关数论number 数natural number 自然数positive number 正数negative number 负数odd integer, odd number 奇数even integer, even number 偶数integer, whole number整数positive integer正整数positive whole number 正整数negative whole number 负整数consecutive number 连续整数real number, rational number实数,有理数irrational(number)无理数inverse倒数composite number合数……prime number质数……注意:所有的质数(2除外)都是奇数,但奇数不一定是质数reciprocal 倒数common divisor公约数multiple 倍数(least)common multiple(最小)公倍数(prime)factor(质)因子common factor 公因子? decimal system十进制nonnegative非负的tens 十位units个位mode 众数median 中数common ratio公比7.数列sequence数列arithmetic progression(sequence)等差数列geometricprogression(sequence)等比数列consecutive 连续的8.其它approximate 近似(anti)clockwise(逆)顺时针方向cardinal 基数ordinal序数direct proportion 、direct ratio 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figure 图表几何部分1.所有的角corner 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 a supplementary angle补角complementary angle 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.所有的三角形triangle三角形regular triangle 正三角形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.有关收敛的平面图形,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 icosagon 正二十边形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 、beeline 直线line segment 线段parallel lines 平行线segment of a circle 弧形5.有关立体图形cube 立方体,立方数rectangular solid 长方体regularsolid/regular polyhedron正多面体circular cylinder 圆柱体cone圆锥sphere 球体solid 立体的octahedron 八面体6.有关图形上的附属物perimeter 周长area 面积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centre of a circle 圆心chord 弦radius 半径angle bisector 角平分线diagonal 对角线diameter 直径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 of a triangle 三角形的中线base 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shaded region 阴影区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number line 数轴quadrant 象限slope 斜率complex plane 复平面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parallel 平行Pythagorean proposition勾股定理congruent 全等的multilateral 多边的measure 度量其它1.单位类cent 美分penny 一美分硬币nickel5美分硬币dime 一角硬币dozen打(12个)score廿(20个) Centigrade 摄氏Fahrenheit华氏quart 夸脱gallon加仑(1gallon=4quart)yard 码meter 米micron 微米inch 英寸foot英尺minute分(角度的度量单位,60分=1度)square measure平方单位制cubic meter立方米pint 品脱(干量或液量的单位)2.有关文字叙述题,主要是有关商业intercalary year(leap year)闰年(366天)common year平年(365天) depreciation折旧down payment直接付款discount打折margin利润profit利润interest利息simple interest单利compounded interest复利dividend红利decrease to减少到decrease by减少了increase to增加到increase by增加了denote表示list price标价markup涨价per capita每人ratio比率retail price零售价。
数学中英语专业名词

数学中英语专业名词Aabelian group:阿贝尔群;absolute geometry:绝对几何;absolute value:绝对值;abstract algebra:抽象代数;addition:加法;algebra:代数;algebraic closure:代数闭包;algebraic geometry:代数几何;algebraic geometry and analytic geometry:代数几何和解析几何;algebraic numbers:代数数;algorithm:算法;almost all:绝大多数;analytic function:解析函数;analytic geometry:解析几何;and:且;angle:角度;anticommutative:反交换律;antisymmetric relation:反对称关系;antisymmetry:反对称性;approximately equal:约等于;Archimedean field:阿基米德域;Archimedean group:阿基米德群;area:面积;arithmetic:算术;associative algebra:结合代数;associativity:结合律;axiom:公理;axiom of constructibility:可构造公理;axiom of empty set:空集公理;axiom of extensionality:外延公理;axiom of foundation:正则公理;axiom of pairing:对集公理;axiom of regularity:正则公理;axiom of replacement:代换公理;axiom of union:并集公理;axiom schema of separation:分离公理;axiom schema of specification:分离公理;axiomatic set theory:公理集合论;axiomatic system:公理系统;BBaire space:贝利空间;basis:基;Bézout's identity:贝祖恒等式;Bernoulli's inequality:伯努利不等式;Big O notation:大O符号;bilinear operator:双线性算子;binary operation:二元运算;binary predicate:二元谓词;binary relation:二元关系;Boolean algebra:布尔代数;Boolean logic:布尔逻辑;Boolean ring:布尔环;boundary:边界;boundary point:边界点;bounded lattice:有界格;Ccalculus:微积分学;Cantor's diagonal argument:康托尔对角线方法;cardinal number:基数;cardinality:势;cardinality of the continuum:连续统的势;Cartesian coordinate system:直角坐标系;Cartesian product:笛卡尔积;category:范畴;Cauchy sequence:柯西序列;Cauchy-Schwarz inequality:柯西不等式;Ceva's Theorem:塞瓦定理;characteristic:特征;characteristic polynomial:特征多项式;circle:圆;class:类;closed:闭集;closure:封闭性或闭包;closure algebra:闭包代数;combinatorial identities:组合恒等式;commutative group:交换群;commutative ring:交换环;commutativity::交换律;compact:紧致的;compact set:紧致集合;compact space:紧致空间;complement:补集或补运算;complete lattice:完备格;complete metric space:完备的度量空间;complete space:完备空间;complex manifold:复流形;complex plane:复平面;congruence:同余;congruent:全等;connected space:连通空间;constructible universe:可构造全集;constructions of the real numbers:实数的构造;continued fraction:连分数;continuous:连续;continuum hypothesis:连续统假设;contractible space:可缩空间;convergence space:收敛空间;cosine:余弦;countable:可数;countable set:可数集;cross product:叉积;cycle space:圈空间;cyclic group:循环群;Dde Morgan's laws:德·摩根律;Dedekind completion:戴德金完备性;Dedekind cut:戴德金分割;del:微分算子;dense:稠密;densely ordered:稠密排列;derivative:导数;determinant:行列式;diffeomorphism:可微同构;difference:差;differentiable manifold:可微流形;differential calculus:微分学;dimension:维数;directed graph:有向图;discrete space:离散空间;discriminant:判别式;distance:距离;distributivity:分配律;dividend:被除数;dividing:除;divisibility:整除;division:除法;divisor:除数;dot product:点积;Eeigenvalue:特征值;eigenvector:特征向量;element:元素;elementary algebra:初等代数;empty function:空函数;empty set:空集;empty product:空积;equal:等于;equality:等式或等于;equation:方程;equivalence relation:等价关系;Euclidean geometry:欧几里德几何;Euclidean metric:欧几里德度量;Euclidean space:欧几里德空间;Euler's identity:欧拉恒等式;even number:偶数;event:事件;existential quantifier:存在量词;exponential function:指数函数;exponential identities:指数恒等式;expression:表达式;extended real number line:扩展的实数轴;Ffalse:假;field:域;finite:有限;finite field:有限域;finite set:有限集合;first-countable space:第一可数空间;first order logic:一阶逻辑;foundations of mathematics:数学基础;function:函数;functional analysis:泛函分析;functional predicate:函数谓词;fundamental theorem of algebra:代数基本定理;fraction:分数;Ggauge space:规格空间;general linear group:一般线性群;geometry:几何学;gradient:梯度;graph:图;graph of a relation:关系图;graph theory:图论;greatest element:最大元;group:群;group homomorphism:群同态;HHausdorff space:豪斯多夫空间;hereditarily finite set:遗传有限集合;Heron's formula:海伦公式;Hilbert space:希尔伯特空间;Hilbert's axioms:希尔伯特公理系统;Hodge decomposition:霍奇分解;Hodge Laplacian:霍奇拉普拉斯算子;homeomorphism:同胚;horizontal:水平;hyperbolic function identities:双曲线函数恒等式;hypergeometric function identities:超几何函数恒等式;hyperreal number:超实数;Iidentical:同一的;identity:恒等式;identity element:单位元;identity matrix:单位矩阵;idempotent:幂等;if:若;if and only if:当且仅当;iff:当且仅当;imaginary number:虚数;inclusion:包含;index set:索引集合;indiscrete space:非离散空间;inequality:不等式或不等;inequality of arithmetic and geometric means:平均数不等式;infimum:下确界;infinite series:无穷级数;infinite:无穷大;infinitesimal:无穷小;infinity:无穷大;initial object:初始对象;inner angle:内角;inner product:内积;inner product space:内积空间;integer:整数;integer sequence:整数列;integral:积分;integral domain:整数环;interior:内部;interior algebra:内部代数;interior point:内点;intersection:交集;inverse element:逆元;invertible matrix:可逆矩阵;interval:区间;involution:回旋;irrational number:无理数;isolated point:孤点;isomorphism:同构;JJacobi identity:雅可比恒等式;join:并运算;K格式:Kuratowski closure axioms:Kuratowski 闭包公理;Lleast element:最小元;Lebesgue measure:勒贝格测度;Leibniz's law:莱布尼茨律;Lie algebra:李代数;Lie group:李群;limit:极限;limit point:极限点;line:线;line segment:线段;linear:线性;linear algebra:线性代数;linear operator:线性算子;linear space:线性空间;linear transformation:线性变换;linearity:线性性;list of inequalities:不等式列表;list of linear algebra topics:线性代数相关条目;locally compact space:局部紧致空间;logarithmic identities:对数恒等式;logic:逻辑学;logical positivism:逻辑实证主义;law of cosines:余弦定理;L??wenheim-Skolem theorem:L??wenheim-Skolem 定理;lower limit topology:下限拓扑;Mmagnitude:量;manifold:流形;map:映射;mathematical symbols:数学符号;mathematical analysis:数学分析;mathematical proof:数学证明;mathematics:数学;matrix:矩阵;matrix multiplication:矩阵乘法;meaning:语义; measure:测度;meet:交运算;member:元素;metamathematics:元数学;metric:度量;metric space:度量空间;model:模型;model theory:模型论;modular arithmetic:模运算;module:模;monotonic function:单调函数;multilinear algebra:多重线性代数;multiplication:乘法;multiset:多样集;Nnaive set theory:朴素集合论;natural logarithm:自然对数;natural number:自然数;natural science:自然科学;negative number:负数;neighbourhood:邻域;New Foundations:新基础理论;nine point circle:九点圆;non-Euclidean geometry:非欧几里德几何;nonlinearity:非线性;non-singular matrix:非奇异矩阵;nonstandard model:非标准模型;nonstandard analysis:非标准分析;norm:范数;normed vector space:赋范向量空间;n-tuple:n 元组或多元组;nullary:空;nullary intersection:空交集;number:数;number line:数轴;Oobject:对象;octonion:八元数;one-to-one correspondence:一一对应;open:开集;open ball:开球;operation:运算;operator:算子;or:或;order topology:序拓扑;ordered field:有序域;ordered pair:有序对;ordered set:偏序集;ordinal number:序数;ordinary mathematics:一般数学;origin:原点;orthogonal matrix:正交矩阵;Pp-adic number:p进数;paracompact space:仿紧致空间;parallel postulate:平行公理;parallelepiped:平行六面体;parallelogram:平行四边形;partial order:偏序关系;partition:分割;Peano arithmetic:皮亚诺公理;Pedoe's inequality:佩多不等式;perpendicular:垂直;philosopher:哲学家;philosophy:哲学;philosophy journals:哲学类杂志;plane:平面;plural quantification:复数量化;point:点;Point-Line-Plane postulate:点线面假设;polar coordinates:极坐标系;polynomial:多项式;polynomial sequence:多项式列;positive-definite matrix:正定矩阵;positive-semidefinite matrix:半正定矩阵;power set:幂集;predicate:谓词;predicate logic:谓词逻辑;preorder:预序关系;prime number:素数;product:积;proof:证明;proper class:纯类;proper subset:真子集;property:性质;proposition:命题;pseudovector:伪向量;Pythagorean theorem:勾股定理;QQ.E.D.:Q.E.D.;quaternion:四元数;quaternions and spatial rotation:四元数与空间旋转;question:疑问句;quotient field:商域;quotient set:商集;Rradius:半径;ratio:比;rational number:有理数;real analysis:实分析;real closed field:实闭域;real line:实数轴;real number:实数;real number line:实数线;reflexive relation:自反关系;reflexivity:自反性;reification:具体化;relation:关系;relative complement:相对补集;relatively complemented lattice:相对补格;right angle:直角;right-handed rule:右手定则;ring:环;Sscalar:标量;second-countable space:第二可数空间;self-adjoint operator:自伴随算子;sentence:判断;separable space:可分空间;sequence:数列或序列;sequence space:序列空间;series:级数;sesquilinear function:半双线性函数;set:集合;set-theoretic definition of natural numbers:自然数的集合论定义;set theory:集合论;several complex variables:一些复变量;shape:几何形状;sign function:符号函数;singleton:单元素集合;social science:社会科学;solid geometry:立体几何;space:空间;spherical coordinates:球坐标系;square matrix:方块矩阵;square root:平方根;strict:严格;structural recursion:结构递归;subset:子集;subsequence:子序列;subspace:子空间;subspace topology:子空间拓扑;subtraction:减法;sum:和;summation:求和;supremum:上确界;surreal number:超实数;symmetric difference:对称差;symmetric relation:对称关系;system of linear equations:线性方程组;Ttensor:张量;terminal object:终结对象;the algebra of sets:集合代数;theorem:定理;top element:最大元;topological field:拓扑域;topological manifold:拓扑流形;topological space:拓扑空间;topology:拓扑或拓扑学;total order:全序关系;totally disconnected:完全不连贯;totally ordered set:全序集;transcendental number:超越数;transfinite recursion:超限归纳法;transitivity:传递性;transitive relation:传递关系;transpose:转置;triangle inequality:三角不等式;trigonometric identities:三角恒等式;triple product:三重积;trivial topology:密着拓扑;true:真;truth value:真值;Uunary operation:一元运算;uncountable:不可数; uniform space:一致空间;union:并集;unique:唯一;unit interval:单位区间;unit step function:单位阶跃函数;unit vector:单位向量;universal quantification:全称量词;universal set:全集;upper bound:上界;Vvacuously true:??;Vandermonde's identity:Vandermonde 恒等式;variable:变量;vector:向量;vector calculus:向量分析;vector space:向量空间;Venn diagram:文氏图;volume:体积;von Neumann ordinal:冯·诺伊曼序数;von Neumann universe:冯·诺伊曼全集;vulgar fraction:分数;ZZermelo set theory:策梅罗集合论;Zermelo-Fraenkel set theory:策梅罗-弗兰克尔集合论;ZF set theory:ZF 系统;zero:零;zero object:零对象;。
英语数学专用词汇表

英语数学专用词汇表以下是英语数学专用词汇表,包括数学领域中常用的术语和定义:1. Algebra(代数): The branch of mathematics that deals with symbols and the rules for manipulating them.2. Equation(方程): A mathematical statement that asserts the equality of two expressions.3. Variable(变量): A symbol that represents a quantity that can vary or change in value.4. Constant(常数): A quantity that does not change in value.5. Coefficient(系数): The numerical factor of a term in an algebraic expression.6. Exponent(指数): A number that represents the power to which a given number or expression is raised.7. Function(函数): A relationship between two variables, where each input has a unique output.8. Graph(图形): A visual representation of the relationship between variables, often plotted on Cartesian coordinates.9. Geometry(几何): The branch of mathematics that deals withthe properties and relations of points, lines, surfaces, solids, and higher-dimensional analogs.10. Triangle(三角形): A polygon with three sides and three angles.11. Circle(圆): A shape with all points in a plane equidistant from a fixed center point.12. Quadrilateral(四边形): A polygon with four sides.13. Congruent(全等): Having the same shape and size.14. Similar(相似): Having the same shape, but possibly different sizes.15. Tangent(切线): A line or line segment that touches a curve at a single point, without crossing it.16. Calculus(微积分): The branch of mathematics that deals with the study of change and motion.17. Derivative(导数): A measure of how a function changes as its input changes.18. Integral (積分): A measure of the area under a curve or the accumulation of quantities.19. Trigonometry(三角函数): The branch of mathematics thatdeals with the relationships between the sides and angles of triangles.20. Sine(正弦): The ratio of the length of the side opposite an acute angle in a right triangle to the hypotenuse.21. Cosine(余弦): The ratio of the length of the side adjacent to an acute angle in a right triangle to the hypotenuse.22. Tangent(正切): The ratio of the length of the side opposite an acute angle in a right triangle to the length of the side adjacent to the angle.23. Probability(概率): The measure of the likelihood that an event will occur.24. Matrix(矩阵): A rectangular array of numbers, symbols, or expressions arranged in rows and columns.25. Vector(向量): A quantity that has both magnitude and direction.26. Arithmetic(算术): The branch of mathematics that deals with the properties and relationships of numbers.27. Prime(质数): A number greater than 1 that has no positive divisors other than 1 and itself.28. Fraction(分数): A number expressed as a ratio of twointegers.29. Rational(有理数): A number that can be expressed as a fraction.30. Irrational(无理数): A number that cannot be expressed as a fraction.这些是英语数学专用词汇表中的一些常见术语。
英语数学专有名词大全

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
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
英语数学专有名词大全
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.)
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
city
奇偶性 parity
周期性 periodicity
图象 image
数列,级数 series
微积分 calculus
微分 differential
数学中英语专业名词

数学中英语专业名词Aabelian group:阿贝尔群;absolute geometry:绝对几何;absolute value:绝对值;abstract algebra:抽象代数;addition:加法;algebra:代数;algebraic closure:代数闭包;algebraic geometry:代数几何;algebraic geometry and analytic geometry:代数几何和解析几何;algebraic numbers:代数数;algorithm:算法;almost all:绝大多数;analytic function:解析函数;analytic geometry:解析几何;and:且;angle:角度;anticommutative:反交换律;antisymmetric relation:反对称关系;antisymmetry:反对称性;approximately equal:约等于;Archimedean field:阿基米德域;Archimedean group:阿基米德群;area:面积;arithmetic:算术;associative algebra:结合代数;associativity:结合律;axiom:公理;axiom of constructibility:可构造公理;axiom of empty set:空集公理;axiom of extensionality:外延公理;axiom of foundation:正则公理;axiom of pairing:对集公理;axiom of regularity:正则公理;axiom of replacement:代换公理;axiom of union:并集公理;axiom schema of separation:分离公理;axiom schema of specification:分离公理;axiomatic set theory:公理集合论;axiomatic system:公理系统;BBaire space:贝利空间;basis:基;Bézout's identity:贝祖恒等式;Bernoulli's inequality:伯努利不等式;Big O notation:大O符号;bilinear operator:双线性算子;binary operation:二元运算;binary predicate:二元谓词;binary relation:二元关系;Boolean algebra:布尔代数;Boolean logic:布尔逻辑;Boolean ring:布尔环;boundary:边界;boundary point:边界点;bounded lattice:有界格;Ccalculus:微积分学;Cantor's diagonal argument:康托尔对角线方法;cardinal number:基数;cardinality:势;cardinality of the continuum:连续统的势;Cartesian coordinate system:直角坐标系;Cartesian product:笛卡尔积;category:范畴;Cauchy sequence:柯西序列;Cauchy-Schwarz inequality:柯西不等式;Ceva's Theorem:塞瓦定理;characteristic:特征;characteristic polynomial:特征多项式;circle:圆;class:类;closed:闭集;closure:封闭性或闭包;closure algebra:闭包代数;combinatorial identities:组合恒等式;commutative group:交换群;commutative ring:交换环;commutativity::交换律;compact:紧致的;compact set:紧致集合;compact space:紧致空间;complement:补集或补运算;complete lattice:完备格;complete metric space:完备的度量空间;complete space:完备空间;complex manifold:复流形;complex plane:复平面;congruence:同余;congruent:全等;connected space:连通空间;constructible universe:可构造全集;constructions of the real numbers:实数的构造;continued fraction:连分数;continuous:连续;continuum hypothesis:连续统假设;contractible space:可缩空间;convergence space:收敛空间;cosine:余弦;countable:可数;countable set:可数集;cross product:叉积;cycle space:圈空间;cyclic group:循环群;Dde Morgan's laws:德·摩根律;Dedekind completion:戴德金完备性;Dedekind cut:戴德金分割;del:微分算子;dense:稠密;densely ordered:稠密排列;derivative:导数;determinant:行列式;diffeomorphism:可微同构;difference:差;differentiable manifold:可微流形;differential calculus:微分学;dimension:维数;directed graph:有向图;discrete space:离散空间;discriminant:判别式;distance:距离;distributivity:分配律;dividend:被除数;dividing:除;divisibility:整除;division:除法;divisor:除数;dot product:点积;Eeigenvalue:特征值;eigenvector:特征向量;element:元素;elementary algebra:初等代数;empty function:空函数;empty set:空集;empty product:空积;equal:等于;equality:等式或等于;equation:方程;equivalence relation:等价关系;Euclidean geometry:欧几里德几何;Euclidean metric:欧几里德度量;Euclidean space:欧几里德空间;Euler's identity:欧拉恒等式;even number:偶数;event:事件;existential quantifier:存在量词;exponential function:指数函数;exponential identities:指数恒等式;expression:表达式;extended real number line:扩展的实数轴;Ffalse:假;field:域;finite:有限;finite field:有限域;finite set:有限集合;first-countable space:第一可数空间;first order logic:一阶逻辑;foundations of mathematics:数学基础;function:函数;functional analysis:泛函分析;functional predicate:函数谓词;fundamental theorem of algebra:代数基本定理;fraction:分数;Ggauge space:规格空间;general linear group:一般线性群;geometry:几何学;gradient:梯度;graph:图;graph of a relation:关系图;graph theory:图论;greatest element:最大元;group:群;group homomorphism:群同态;HHausdorff space:豪斯多夫空间;hereditarily finite set:遗传有限集合;Heron's formula:海伦公式;Hilbert space:希尔伯特空间;Hilbert's axioms:希尔伯特公理系统;Hodge decomposition:霍奇分解;Hodge Laplacian:霍奇拉普拉斯算子;homeomorphism:同胚;horizontal:水平;hyperbolic function identities:双曲线函数恒等式;hypergeometric function identities:超几何函数恒等式;hyperreal number:超实数;Iidentical:同一的;identity:恒等式;identity element:单位元;identity matrix:单位矩阵;idempotent:幂等;if:若;if and only if:当且仅当;iff:当且仅当;imaginary number:虚数;inclusion:包含;index set:索引集合;indiscrete space:非离散空间;inequality:不等式或不等;inequality of arithmetic and geometric means:平均数不等式;infimum:下确界;infinite series:无穷级数;infinite:无穷大;infinitesimal:无穷小;infinity:无穷大;initial object:初始对象;inner angle:内角;inner product:内积;inner product space:内积空间;integer:整数;integer sequence:整数列;integral:积分;integral domain:整数环;interior:内部;interior algebra:内部代数;interior point:内点;intersection:交集;inverse element:逆元;invertible matrix:可逆矩阵;interval:区间;involution:回旋;irrational number:无理数;isolated point:孤点;isomorphism:同构;JJacobi identity:雅可比恒等式;join:并运算;K格式:Kuratowski closure axioms:Kuratowski 闭包公理;Lleast element:最小元;Lebesgue measure:勒贝格测度;Leibniz's law:莱布尼茨律;Lie algebra:李代数;Lie group:李群;limit:极限;limit point:极限点;line:线;line segment:线段;linear:线性;linear algebra:线性代数;linear operator:线性算子;linear space:线性空间;linear transformation:线性变换;linearity:线性性;list of inequalities:不等式列表;list of linear algebra topics:线性代数相关条目;locally compact space:局部紧致空间;logarithmic identities:对数恒等式;logic:逻辑学;logical positivism:逻辑实证主义;law of cosines:余弦定理;L??wenheim-Skolem theorem:L??wenheim-Skolem 定理;lower limit topology:下限拓扑;Mmagnitude:量;manifold:流形;map:映射;mathematical symbols:数学符号;mathematical analysis:数学分析;mathematical proof:数学证明;mathematics:数学;matrix:矩阵;matrix multiplication:矩阵乘法;meaning:语义;measure:测度;meet:交运算;member:元素;metamathematics:元数学;metric:度量;metric space:度量空间;model:模型;model theory:模型论;modular arithmetic:模运算;module:模;monotonic function:单调函数;multilinear algebra:多重线性代数;multiplication:乘法;multiset:多样集;Nnaive set theory:朴素集合论;natural logarithm:自然对数;natural number:自然数;natural science:自然科学;negative number:负数;neighbourhood:邻域;New Foundations:新基础理论;nine point circle:九点圆;non-Euclidean geometry:非欧几里德几何;nonlinearity:非线性;non-singular matrix:非奇异矩阵;nonstandard model:非标准模型;nonstandard analysis:非标准分析;norm:范数;normed vector space:赋范向量空间;n-tuple:n 元组或多元组;nullary:空;nullary intersection:空交集;number:数;number line:数轴;Oobject:对象;octonion:八元数;one-to-one correspondence:一一对应;open:开集;open ball:开球;operation:运算;operator:算子;or:或;order topology:序拓扑;ordered field:有序域;ordered pair:有序对;ordered set:偏序集;ordinal number:序数;ordinary mathematics:一般数学;origin:原点;orthogonal matrix:正交矩阵;Pp-adic number:p进数;paracompact space:仿紧致空间;parallel postulate:平行公理;parallelepiped:平行六面体;parallelogram:平行四边形;partial order:偏序关系;partition:分割;Peano arithmetic:皮亚诺公理;Pedoe's inequality:佩多不等式;perpendicular:垂直;philosopher:哲学家;philosophy:哲学;philosophy journals:哲学类杂志;plane:平面;plural quantification:复数量化;point:点;Point-Line-Plane postulate:点线面假设;polar coordinates:极坐标系;polynomial:多项式;polynomial sequence:多项式列;positive-definite matrix:正定矩阵;positive-semidefinite matrix:半正定矩阵;power set:幂集;predicate:谓词;predicate logic:谓词逻辑;preorder:预序关系;prime number:素数;product:积;proof:证明;proper class:纯类;proper subset:真子集;property:性质;proposition:命题;pseudovector:伪向量;Pythagorean theorem:勾股定理;QQ.E.D.:Q.E.D.;quaternion:四元数;quaternions and spatial rotation:四元数与空间旋转;question:疑问句;quotient field:商域;quotient set:商集;Rradius:半径;ratio:比;rational number:有理数;real analysis:实分析;real closed field:实闭域;real line:实数轴;real number:实数;real number line:实数线;reflexive relation:自反关系;reflexivity:自反性;reification:具体化;relation:关系;relative complement:相对补集;relatively complemented lattice:相对补格;right angle:直角;right-handed rule:右手定则;ring:环;Sscalar:标量;second-countable space:第二可数空间;self-adjoint operator:自伴随算子;sentence:判断;separable space:可分空间;sequence:数列或序列;sequence space:序列空间;series:级数;sesquilinear function:半双线性函数;set:集合;set-theoretic definition of natural numbers:自然数的集合论定义;set theory:集合论;several complex variables:一些复变量;shape:几何形状;sign function:符号函数;singleton:单元素集合;social science:社会科学;solid geometry:立体几何;space:空间;spherical coordinates:球坐标系;square matrix:方块矩阵;square root:平方根;strict:严格;structural recursion:结构递归;subset:子集;subsequence:子序列;subspace:子空间;subspace topology:子空间拓扑;subtraction:减法;sum:和;summation:求和;supremum:上确界;surreal number:超实数;symmetric difference:对称差;symmetric relation:对称关系;system of linear equations:线性方程组;Ttensor:张量;terminal object:终结对象;the algebra of sets:集合代数;theorem:定理;top element:最大元;topological field:拓扑域;topological manifold:拓扑流形;topological space:拓扑空间;topology:拓扑或拓扑学;total order:全序关系;totally disconnected:完全不连贯;totally ordered set:全序集;transcendental number:超越数;transfinite recursion:超限归纳法;transitivity:传递性;transitive relation:传递关系;transpose:转置;triangle inequality:三角不等式;trigonometric identities:三角恒等式;triple product:三重积;trivial topology:密着拓扑;true:真;truth value:真值;Uunary operation:一元运算;uncountable:不可数;uniform space:一致空间;union:并集;unique:唯一;unit interval:单位区间;unit step function:单位阶跃函数;unit vector:单位向量;universal quantification:全称量词;universal set:全集;upper bound:上界;Vvacuously true:??;Vandermonde's identity:Vandermonde 恒等式;variable:变量;vector:向量;vector calculus:向量分析;vector space:向量空间;Venn diagram:文氏图;volume:体积;von Neumann ordinal:冯·诺伊曼序数;von Neumann universe:冯·诺伊曼全集;vulgar fraction:分数;ZZermelo set theory:策梅罗集合论;Zermelo-Fraenkel set theory:策梅罗-弗兰克尔集合论;ZF set theory:ZF 系统;zero:零;zero object:零对象;。
英文数学专用名词整理(出国考试用)

finite decimal有限小数inequation prove application柯西不等式Simplify 化简Factorise['fæktəraɪz]因式分解Solve the inequation[ɪnɪ'kweɪʃən]解不等式Solve the equation [ɪˈkweɪʒn]解方程Solve the simultaneous equationˈsaɪməlˈteniəs解方程组Ratio\scale 比例Percentage 百分数3 decimal place [ˈd e səməl近似三位有效数字Cylinder [ˈsɪləndɚ]圆柱体sine[saɪn正弦函数cosine ['kəʊsaɪn余弦函数Tangent function正切函数Cotangent余切函数Cone 圆锥Sphere [sfɪə(r)]球型Radius['reɪdɪəs]半径Volume 体积Suface area 表面积X axis ['æksɪs X轴Symmetry ['sɪmətrɪ]对称Correct to 近似到....... Coordinate[kəʊ'ɔ:dɪneɪt坐标Origin 原点Total\sum 总的Lesson2Find A in term of B 用B表示A Make X as the subject of the formula 求X(X=......)Significant figure 有效数字Whole number\integer 整数Single fraction 最简分数Diameter [daɪˈæmɪtɚ]直径Semicircle [ˈsemɪˈsɜ:kəl]半圆Shaded 阴影Greatest 最大值Tangent [ˈtændʒənt]切线Centre 圆心Standard form 科学计数法Mode 众数Median 中位数Mean 平均数Remove 移去Remaining 剩下的Orginal原来的Parallel 平行Curved surface area 侧面积Similar 相似Triangle ['traɪæŋɡl三角形LessonHexagon[ˈheksəgən六边形Regular 正.....(如:正五边形)Trapezium[trə'pi:zɪəm]梯形Multiply 倍数|乘Divide 除Add 加Minus 减Perimeter[pəˈrɪmɪtə(r)]周长Formula 公式Frequency 频率次数Table 表格。
数学专业英语词汇

1. 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 complementary function 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2 有关数论natural number 自然数positive number 正数negative number 负数odd integer, odd number 奇数even integer, even number 偶数integer, whole number 整数positive whole number 正整数negative whole number 负整数 consecutive number 连续整数real number, rational number 实数,有理数 irrational(number)无理数inverse 倒数composite number 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……注意:所有的质数(2除外)都是奇数,但奇数不一定是质数reciprocal 倒数common divisor 公约数multiple 倍数(least)common multiple (最小)公倍数 (prime) factor (质)因子common factor 公因子ordinary scale, decimal scale 十进制 nonnegative 非负的tens 十位units 个位mode 众数median 中数common ratio 公比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direct proportion 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,位几何部分1. 所有的角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 complementary angle 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. 所有的三角形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. 有关收敛的平面图形,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 a circle 弧形5. 有关立体图形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. 有关图形上的附属物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radius 半径angle bisector 角平分线diagonal 对角线diameter 直径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 of a triangle 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. 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number line 数轴quadrant 象限slope 斜率complex plane 复平面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multilateral 多边的其它1. 单位类cent 美分penny 一美分硬币nickel 5美分硬币dime 一角硬币dozen 打(12个)score 廿(20个)Centigrade 摄氏Fahrenheit 华氏quart 夸脱gallon 加仑(1 gallon = 4 quart) yard 码 meter 米micron 微米inch 英寸foot 英尺minute 分(角度的度量单位,60分=1度) square measure 平方单位制cubic meter 立方米pint 品脱(干量或液量的单位)2. 有关文字叙述题,主要是有关商业intercalary year(leap year) 闰年(366天) common year 平年(365天) depreciation 折旧down payment 直接付款discount 打折margin 利润profit 利润interest 利息simple interest 单利compounded interest 复利dividend 红利decrease to 减少到decrease by 减少了increase to 增加到increase by 增加了denote 表示list price 标价markup 涨价per capita 每人ratio 比率retail price 零售价tie 打。
mathematics英语数学部分专有名词(初中)

Mathematics1. The number systemPositive number 正数negative number 负数integer 整数fraction 分数Rational number 有理数irrational number 无理数Origin 原点number axis 数轴absolute value 绝对值opposite number 相反数addition 加法subtraction 减法multiplication 乘法division 除法involution 乘方base number 底exponent 指数power 幂square 平方cube 立方scientific notation 科学计数法square root 平方根extraction of square root 开平方cube root 立方根extraction of cubic root 开立方real number 实数approximate number 近似数arithmetic mean 算术平均数或平均数weight 权median 中位数mode 众数variance 方差2. 4. Linear equations & linear systemlinear equation with one unknown 一元一次方程linear inequalities 一元不等式solution of equation 方程的解solving equation 解方程moving terms 移项3. quadratic equationsquadratic equation with one unknown 一元二次方程5. linear functions 一次函数(复数)constant 常量variable 变量function 函数graph 图像direct proportion function正比例函数6. quadratic function 二次函数parabola 抛物线8. 10. 11. 12circular cylinder 圆柱circular cone 圆锥cube 正方体cuboid 长方体sphere 球pyramid 棱锥prism 棱柱point 点line 线surface 面graph transformations 图形的运动translation 平移rotation 旋转congruent figures 全等图形congruent triangles 全等三角形corresponding vertices 对应顶点corresponding sides 对应边corresponding angles 对应角regular polygon 正多边形similar figures 相似形similar polygons 相似多边形similarity ratio 相似比9. angles in parallel lines 平行线中的角angle 角angular bisector 角的平分线complementary angle 余角supplementary angle 补角parallel lines 平行线perpendicular line 垂线foot of a perpendicular 垂足vertical line segment 垂线段the distance between a point to a straight line 点到直线的距离14. circlecentre of a circle 圆心radius 半径chord 弦diameter 直径arc 弧major arc 优弧minor arc 劣弧central angle 圆心角concentric circles 同心圆equal circle 等圆equal arc 等弧circumcircle of triangle 三角形的外接圆circumcenter of triangle 三角形的外心angle in a segment 圆周角quadrilateral in a circle圆的内接四边形tangent line of a circle 圆的切线tangent point 切点Inscribed circle of triangle 三角形的内切圆incenter of triangle 三角形的内心length of the tangent 切线长15. probability 概率impossible event 不可能事件certain event 必然事件random event 随机事件statistics 统计absolute frequency 頻数relative frequency 频率frequency distribution table 頻数分布表frequency distribution histogram頻数分布直方图。
数学专有名词中英对照表

数学专有名词中英对照表公理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平均数mean算术平均数arithmatic mean几何平均数geometric mean n个数之积的n次方根倒数(reciprocal)x的倒数为1/x有理数rational number无理数irrational number实数real number虚数imaginary number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 rootsqrt(2)=1.414sqrt(3)=1.732sqrt(5)=2.236常量constant变量variable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象限quadrant截距(有正负之分)intercede(方程的)解solution几何geometry点point线line面plane体solid线段segment射线radial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 diagram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 复数complex number矩阵matrix行列式determinant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轨迹locus, loca(pl.)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旋转rotation轴axis球sphere半球hemisphere底面undersurface表面积surface area体积volume空间space双曲线hyperbola抛物线parabola四面体tetrahedron五面体pentahedron六面体hexahedron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相位phase周期period振幅amplitude内心incentre(BrE), incenter(AmE)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周长perimeter面积area相似similar全等congruent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补充: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 复数complex number矩阵matrix行列式determinant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轨迹locus, loca(pl.)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旋转rotation轴axis球sphere半球hemisphere底面undersurface表面积surface area体积volume空间space双曲线hyperbola抛物线parabola四面体tetrahedron五面体pentahedron六面体hexahedron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相位phase周期period振幅amplitude内心incentre(BrE), incenter(AmE)以上内容皆来自/f?kz=486710771,本人稍加确认修改,请同学们转载时保留此行内容。
数学专业名词

TERMS OF LECTURE 1 Add 加Algebra 代数Bracket 括号Cartesian coordinates 笛卡尔坐标Coefficient 系数Constant 常数Coordinate 坐标Cube 立方Cube root 立方根Demand function 需求函数Denominator 分母Dependent Variable 因变量Difference of squares 平方差Differential calculus 微分Divide 除Economics 经济学Equation 方程Expression 表达式Factor 因子Factorise 因式分解Fourth root 四次方根Fraction 分数Function 函数Geometry 几何Gradient 斜率Horizontal line 横轴Identity 恒等式Independent Variable 自变量Inequality 不等式Intercept 截距Integration 积分Inverse function 反函数Linear Equation 线性方程Market Equilibrium 市场均衡Matrix 矩阵Microeconomics 微观经济学Multiply 乘Numerator 分子Origin 原点Product 乘积Quotient 商Root 根Slope(Gradient) 斜率Square 平方Square root 平方根Subtract 减Supply function 供给函数Variable 变量Vertical line 纵轴X axis X 轴Y axis Y 轴•Quadratic function 一元二次方程•Discriminant 判别式•Parabola 抛物线•Total revenue 总收益•Fixed cost 固定成本•variable cost 可变成本•Break-even point 盈亏平衡点•Chord 弦•Index 指数•Reciprocal 倒数•Power 幂(次方)•Exponent 幂•Logarithm 对数•Irrational number 无理数•exponential function 指数方程•Natural Logarithm 自然对数•Percentage 比例•Scale factor 比例系数•Time series data 时间序列数据•Index numbers 指数•Base period 基期•Aggregate Price Indices 总体价格指数•Weighted index 加权指数•Rate of inflation 通货膨胀率•Consumer Price Index 消费价格指数•Nominal data 名义数据•Real data 实际数据•Simple interest 单利•Deposit 存款•Compound interest 复利•Principal 现值(本金)•Future value 终值•Geometric progression 等比数列•Geometric ratio 公比•Sinking fund 偿债基金(零存整取)•Mortgage payments 分期付款•Outstanding debt 有待偿还的债务•Instalment 分期付款•Discounting rate 折现率•Initial outlay 开办费用(首期投资)•Net present value 净现值•Internal rate of return 内部收益率•Annuity 年金• a lump sum investment 一次性投资。
高中数学专有名词-英文

高中数学专有名词-英文+ plus 加号;正号- minus 减号;负号± plus or minus 正负号× is multiplied by 乘号÷ is divided by 除号= is equal to 等于号≠ is not equal to 不等于号≡ is equivalent to 全等于号≌ is equal to or approximately equal to 等于或约等于号≈ is approximately equal to 约等于号集合 set非负整数集 the set of all non-negative integers自然数集 the set of all natural numbers正整数集 the set of all positive integers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包含于 lie in子集 subset真子集 proper set补集(余补) complementary set全集 universe交集 intersection并集 union偶数集the set of all even numbers奇数集the set of all odd number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 logical connective 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函数 function自变量 argument定义域 domain值域 range区间 interval闭区间 closed interval开区间 open interval可逆矩阵(非奇异矩阵)invertible matrix (non-singular matrix) 矩阵的和 sum of matrices矩阵的积 product of matrices矩阵的转置 transpose of matrices矩阵的行列式 determinant of matrices可逆矩阵 invertible matrix单位矩阵 unit matrix零矩阵 zero matrix逆矩阵 matrix inverse伴随矩阵 companion matrix初等矩阵 elementary matrix对角线分块矩阵 diagnal .... matrix< is less than 小于号> is more than 大于号≮ is not less than 不小于号≯ is not more than 不大于号≤ is less than or equal to 小于或等于号≥ is more than or equal to 大于或等于号% per cent 百分之…‰ per mill 千分之…∞ infinity 无限大号∝ varies as 与…成比例√ (square) root 平方根∵ since; because 因为∴ hence 所以∷ equals, as (proportion) 等于,成比例∠ angle 角⌒ semicircle 半圆⊙ circle 圆○ circumference 圆周π pi 圆周率△ triangle 三角形⊥ perpendicular to 垂直于∪ union of 并,合集∩ intersection of 交,通集∫ the integral of …的积分∑ (sigma) summ ation of 总和° degree 度′ minute 分〃 second 秒℃ Celsius system 摄氏度{ open brace, open curly 左花括号} close brace, close curly 右花括号( open parenthesis, open paren左圆括号) close parenthesis, close paren右圆括号() brakets/ parentheses 括号[ open bracket 左方括号] close bracket 右方括号[] square brackets 方括号. period, dot 句号,点| vertical bar, vertical virgule 竖线& ampersand, and, reference, ref 和,引用* asterisk, multiply, star, pointer 星号,乘号,星,指针/ slash, divide, oblique 斜线,斜杠,除号// slash-slash, comment 双斜线,注释符# pound 井号\ backslash, sometimes escape 反斜线转义符,有时表示转义符或续行符~ tilde 波浪符. full stop 句号, comma 逗号: colon 冒号; semicolon 分号question mark 问号! exclamation mark (英式英语) exclamation point (美式英语) ' apostrophe 撇号- hyphen 连字号-- dash 破折号... dots/ ellipsis 省略号" single quotation marks 单引号"" double quotation marks 双引号‖ parallel 双线号& ampersand = and~ swung dash 代字号§ section; division 分节。
数学专用名词

Positive number 正数Negative number 负数Rational numbet 有理数Number axis 数轴Origin 原点Opposite number 相反数Absolute value 绝对值Power 幂Base number 底数Expoent 指数Approximate number 近似数Signifcant digit 有效数字Monomial 单项式Coefficient 系数Degree of a monomial 单项式的次数Polynomial 多项式Tern 项Constant tern 常数项Degree of a polynomial 多项式的次数Integral expression 整式Equation 方程Linear equation with one unknown 一元一次方程prime numbers 质数natural numbers 自然数integer 整数add 加reduce 减multiplication 乘法division 除法1。
the sum of two numbers is 28.find the numbers if the sum of their squares is a minimum.两数之和为28。
如果两数之积为最小值,两数分别是多少?2。
two numbers have a difference of 16.. find the numbers if the result of adding their sum and their product is a minimum两数之差为16。
如果两数的和与积之和为最小值,求两数分别是几。
3。
a uniform border on a framed photograph has the same area as athe photograph. what are the outside dimensions of the border if the dimensions of the photograph are 25 cm by 20 cm .一个均匀宽度的相框的面积与里面相片的面积相同。
高等数学专业英语名词

高等数学术语英语翻译V、X、Z:Value of function:函数值Vector:函数值Volume:体积X-axis:x轴x-coordinate:x坐标x-intercept:x截距Zero vector:函数的零点T:Tangent function:正切函数Tangent line:切线Total differential:全微分Trigonometric function:三角函数Tripe integrals:三重积分S:Second derivative:二阶导数Second partial derivative:二阶偏导数Sequence:数列Set:集合Slope:斜率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Sum:和Surface:曲面Surface integral:面积分Surface of revolution:旋转曲面Symmetry:对称Sine function:正弦函数Slant asymptote:斜渐近线R: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Real number:实数Rectangular coordinates:直角坐标Revolution,solid of:旋转体Revolution,surface of:旋转曲面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Plane:平面Polar coordinate:极坐标Pole:极点Polynomial:多项式Positive angle:正角Power function:幂函数Product:积M、N、O:Maximum and minimum values:极大与极小值Multiple integrals:重积分Natural num ber:自然数Normal line:法线Number:数Odd function:奇函数One-sided li mit:单边极限Open interval:开区间Ordinary differential equation:常微分方程Orthogonal:正交的Origin:原点L:Law of Cosines:余弦定理Left-hand derivative:左导数Left-hand limit:左极限Length:长度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Logarithm:对数Logarithmic function:对数函数I:Implicit function:隐函数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Integer:整数Integral:积分Integrand:被积分式Integration:积分Intercepts:截距Interval:区间Inverse function:反函数Inverse trigonometric function:反三角函数Iterated integral:逐次积分Intermediate value of Theorem:中间值定理H:Higher mathematics高等数学/高数E、F、G、H:Ellipse:椭圆Ellipsoid:椭圆体Equation:方程式Even function:偶函数Expected Valued:期望值Exponential Function:指数函数Extreme value:极值Focus:焦点Fractions:分式Function:函数Gradient:梯度Graph:图形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Density:密度Derivative:导数higher:高阶导数partial:偏导数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Discontinuity:不连续性Distance:距离Divergence:发散Domain:定义域Double integral:二重积分C:Calculus:微积分differential:微分学integral:积分学Circle:圆Circular cylinder:圆柱Closed interval:封闭区间Coefficient:系数Cone:圆锥Constant function:常数函数Constant of integration:积分常数Continuity:连续性Continuous function:连续函数Convergence:收敛Convergent sequence:收敛数列Coordinate:s:坐标polar:极坐标rectangular:直角坐标spherical:球面坐标Coordinate axes:坐标轴Cosine function:余弦函数Critical point:临界点Cubic function:三次函数Curve:曲线Cylinder:圆柱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Arbitrary constant:任意常数Arc length:弧长Area: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:平均速度微积分词汇第一章函数与极限Chapter1Function 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开区间open interval闭区间closed interval映射mapping一一映射one-to-one mapping变化transformation函数function自变量independent variable因变量dependent variable函数关系function relation值域range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分段函数piecewise function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对称symmetry偶函数even function奇函数odd 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inversetrigonometric function常数函数constant function极限limit数列sequence of number 收敛convergence发散divergent子列subsequence函数的极限limits of functions左极限left limit右极限right limit单侧极限one-sided limits无穷小infinitesimal无穷大infinity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 order2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Chapter2Derivative and Differential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导函数derived function切线方程tangent equation隐函数implicit function显函数explicit function高阶导数nth derivative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Chapter3MeanValue Theorem of Differentials and the Application of Derivatives临界点critical point辅助函数auxiliary function不定式indeterminate form泰勒公式Taylor formula余项remainder term拐点inflection point函数的极值extremum of function极大值local(relative)maximum极小值local(relative)minimum曲率curvature平均曲率average curvature曲率中心center of curvature第四章不定积分Chapter4Indefinite 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第五章定积分Chapter5Definite Integrals曲边梯形trapezoid with曲边curve 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反常积分improper integral第六章定积分的应用面积元素element of area极坐标polar coordinates抛物线parabola椭圆ellipse旋转体的面积volume of a solid of rotation曲线的弧长arc length of acurve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Chapter7Space Analytic Geometry and Vector Algebra相等equal平行parallel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差difference分配律distributive law球面sphere轴axis顶点vertex抛物柱面parabolic cylinder二次曲面quadric surface椭圆锥面dlliptic cone椭球面ellipsoid椭圆柱面elliptic cylinder双曲柱面hyperbolic cylinder抛物柱面parabolic cylinder空间曲线space curve投影projection垂直perpendicular第八章多元函数微分法及其应用Chapter8Differentiation of Functions of Several Variables and Its Application一元函数function of one variable多元函数function of several variables边界点frontier point,boundary point开集openset闭集closed set有界集bounded set 无界集unbounded set二重极限double limit连续函数continuous function不连续点discontinuity point偏导数partial derivative高阶偏导数partial derivative of higher order二阶偏导数second order 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全导数total derivative法线normal line梯度gradient 无条件极值unconditional extreme values条件极值conditional extreme values最小二乘法method of least squares第九章重积分Chapter9Multiple Integrals二重积分double integral可加性additivity三重积分triple integral反常二重积分improper double integral曲面的面积area of a surface质心centre of mass密度density第十二章微分方程Chapter12Differential Equation常微分方程ordinary differential equation偏微分方程partial differential equation,PDE初始条件initial condition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全微分方程total differential equation高阶微分方程differential equation of higher order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 variable coefficient微分方程组system of differential equations。
数学专有名词英文词典

数学专有名词英文词典V、X、ZValue 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TTangent 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SSaddle 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RRadius 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、QParabola :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、OMaximum 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LLaplace 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IImplicit 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HHigher mathematics 高等数学/高数E、F、G、HEllipse :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DDecreasing 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CCalculus :微积分differential :微分学integral :积分学Cartesian coordinates :笛卡儿坐标图片一般指直角坐标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、BAbsolute 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。
数学英语专业术语词汇

数学英语专业术语词汇数学专业术语词汇代数部分1.有关数学运算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,divisor因子,除数quotient商remainder余数factorial阶乘power乘方radical sign, root sign根号round to四舍五入 increase 增加 reduce 减少3.有关代数式、方程和不等式value值equation 方程algebraic term代数项like terms, similar terms同类项satisfy 满足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)4.有关分数和小数fraction 分数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percent 百分之5.基本数学概念average 平均数 maximum/ minimum number 最大/ 最小数 square 平方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 not more than 不大于less than 小于units’ digit个位数字 sum 和 represent 代表adjacent 相邻的 constant常数variable变量inverse function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,e.g.|-32|=32round off四舍五入6.有关数论number 数natural number自然数positive number正数negative number负数odd integer, odd number奇数even integer, even number偶数integer, whole number整数positive integer 正整数positive whole number正整数negative whole number负整数consecutive number连续整数real number, rational number实数,有理数irrational(number)无理数inverse倒数composite number 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……注意:所有的质数(2除外)都是奇数,但奇数不一定是质数reciprocal倒数common divisor公约数multiple倍数(least)common multiple(最小)公倍数(prime)factor(质)因子common factor公因子 decimal system十进制nonnegative非负的tens十位units个位mode众数median中数common ratio 公比7.数列sequence 数列arithmetic progression(sequence)等差数列geometric progression(sequence)等比数列consecutive 连续的8.其它approximate近似(anti)clockwise(逆)顺时针方向cardinal基数ordinal序数direct proportion 、direct ratio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figure 图表几何部分1.所有的角corner 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 a supplementary angle补角complementary angle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.所有的三角形triangle三角形regular triangle 正三角形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.有关收敛的平面图形,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 icosagon 正二十边形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 、beeline直线line segment线段parallel lines平行线segment of a circle弧形5.有关立体图形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octahedron 八面体6.有关图形上的附属物perimeter 周长area 面积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centre of a circle圆心chord弦radius半径angle bisector角平分线diagonal对角线diameter直径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 of a triangle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shaded region 阴影区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number line数轴quadrant象限slope斜率complex plane复平面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parallel 平行Pythagorean proposition勾股定理congruent全等的multilateral多边的measure 度量其它1.单位类cent美分penny 一美分硬币nickel5美分硬币dime一角硬币dozen打(12个)score廿(20个)Centigrade摄氏Fahrenheit华氏quart夸脱gallon加仑(1gallon=4quart)yard码meter米micron微米inch英寸foot英尺minute 分(角度的度量单位,60分=1度)square measure平方单位制cubic meter立方米pint品脱(干量或液量的单位)2.有关文字叙述题,主要是有关商业intercalary year(leap year)闰年(366天)common year平年(365天)depreciation 折旧down payment直接付款discount打折margin利润profit利润interest利息simple interest单利compounded interest复利dividend红利decrease to 减少到decrease by减少了increase to增加到increase by增加了denote表示list price标价markup涨价per capita每人ratio比率retail price零售价。
- 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)。
数学专业英语词汇英汉对照1 概率论与数理统计词汇英汉对照表Aabsolute value 绝对值accept 接受acceptable region 接受域additivity 可加性adjusted 调整的alternative hypothesis 对立假设analysis 分析analysis of covariance 协方差分析analysis of variance 方差分析arithmetic mean 算术平均值association 相关性assumption 假设assumption checking 假设检验availability 有效度average 均值Bbalanced 平衡的band 带宽bar chart 条形图beta-distribution 贝塔分布between groups 组间的bias 偏倚binomial distribution 二项分布binomial test 二项检验Ccalculate 计算case 个案category 类别center of gravity 重心central tendency 中心趋势chi-square distribution 卡方分布chi-square test 卡方检验classify 分类cluster analysis 聚类分析coefficient 系数coefficient of correlation 相关系数collinearity 共线性column 列compare 比较comparison 对照components 构成,分量compound 复合的confidence interval 置信区间consistency 一致性constant 常数continuous variable 连续变量control charts 控制图correlation 相关covariance 协方差covariance matrix 协方差矩阵critical point 临界点critical value 临界值crosstab 列联表cubic 三次的,立方的cubic term 三次项cumulative distribution function 累加分布函数curve estimation 曲线估计Ddata 数据default 默认的definition 定义deleted residual 剔除残差density function 密度函数dependent variable 因变量description 描述design of experiment 试验设计deviations 差异df.(degree of freedom) 自由度diagnostic 诊断dimension 维discrete variable 离散变量discriminant function 判别函数discriminatory analysis 判别分析distance 距离distribution 分布D-optimal design D-优化设计Eeaqual 相等effects of interaction 交互效应efficiency 有效性eigenvalue 特征值equal size 等含量equation 方程error 误差estimate 估计estimation of parameters 参数估计estimations 估计量evaluate 衡量exact value 精确值expectation 期望expected value 期望值exponential 指数的exponential distributon 指数分布extreme value 极值Ffactor 因素,因子factor analysis 因子分析factor score 因子得分factorial designs 析因设计factorial experiment 析因试验fit 拟合fitted line 拟合线fitted value 拟合值fixed model 固定模型fixed variable 固定变量fractional factorial design 部分析因设计frequency 频数F-test F检验full factorial design 完全析因设计function 函数Ggamma distribution 伽玛分布geometric mean 几何均值group 组Hharmomic mean 调和均值heterogeneity 不齐性histogram 直方图homogeneity 齐性homogeneity of variance 方差齐性hypothesis 假设hypothesis test 假设检验Iindependence 独立independent variable 自变量independent-samples 独立样本index 指数index of correlation 相关指数interaction 交互作用interclass correlation 组内相关interval estimate 区间估计intraclass correlation 组间相关inverse 倒数的iterate 迭代Kkernal 核Kolmogorov-Smirnov test 柯尔莫哥洛夫-斯米诺夫检验kurtosis 峰度Llarge sample problem 大样本问题layer 层least-significant difference 最小显著差数least-square estimation 最小二乘估计least-square method 最小二乘法level 水平level of significance 显著性水平leverage value 中心化杠杆值life 寿命life test 寿命试验likelihood function 似然函数likelihood ratio test 似然比检验linear 线性的linear estimator 线性估计linear model 线性模型linear regression 线性回归linear relation 线性关系linear term 线性项logarithmic 对数的logarithms 对数logistic 逻辑的lost function 损失函数Mmain effect 主效应matrix 矩阵maximum 最大值maximum likelihood estimation 极大似然估计mean squared deviation(MSD) 均方差mean sum of square 均方和measure 衡量media 中位数M-estimator M估计minimum 最小值missing values 缺失值mixed model 混合模型mode 众数model 模型Monte Carle method 蒙特卡罗法moving average 移动平均值multicollinearity 多元共线性multiple comparison 多重比较multiple correlation 多重相关multiple correlation coefficient 复相关系数multiple correlation coefficient 多元相关系数multiple regression analysis 多元回归分析multiple regression equation 多元回归方程multiple response 多响应multivariate analysis 多元分析Nnegative relationship 负相关nonadditively 不可加性nonlinear 非线性nonlinear regression 非线性回归noparametric tests 非参数检验normal distribution 正态分布null hypothesis 零假设number of cases 个案数Oone-sample 单样本one-tailed test 单侧检验one-way ANOVA 单向方差分析one-way classification 单向分类optimal 优化的optimum allocation 最优配制order 排序order statistics 次序统计量origin 原点orthogonal 正交的outliers 异常值Ppaired observations 成对观测数据paired-sample 成对样本parameter 参数parameter estimation 参数估计partial correlation 偏相关partial correlation coefficient 偏相关系数partial regression coefficient 偏回归系数percent 百分数percentiles 百分位数pie chart 饼图point estimate 点估计poisson distribution 泊松分布polynomial curve 多项式曲线polynomial regression 多项式回归polynomials 多项式positive relationship 正相关power 幂P-P plot P-P概率图predict 预测predicted value 预测值prediction intervals 预测区间principal component analysis 主成分分析proability 概率probability density function 概率密度函数probit analysis 概率分析proportion 比例Qqadratic 二次的Q-Q plot Q-Q概率图quadratic term 二次项quality control 质量控制quantitative 数量的,度量的quartiles 四分位数Rrandom 随机的random number 随机数random number 随机数random sampling 随机取样random seed 随机数种子random variable 随机变量randomization 随机化range 极差rank 秩rank correlation 秩相关rank statistic 秩统计量regression analysis 回归分析regression coefficient 回归系数regression line 回归线reject 拒绝rejection region 拒绝域relationship 关系reliability 可靠性repeated 重复的report 报告,报表residual 残差residual sum of squares 剩余平方和response 响应risk function 风险函数robustness 稳健性root mean square 标准差row 行run 游程run test 游程检验Ssample 样本sample size 样本容量sample space 样本空间sampling 取样sampling inspection 抽样检验scatter chart 散点图S-curve S形曲线separately 单独地sets 集合sign test 符号检验significance 显著性significance level 显著性水平significance testing 显著性检验significant 显著的,有效的significant digits 有效数字skewed distribution 偏态分布skewness 偏度small sample problem 小样本问题smooth 平滑sort 排序soruces of variation 方差来源space 空间spread 扩展square 平方standard deviation 标准离差standard error of mean 均值的标准误差standardization 标准化standardize 标准化statistic 统计量statistical quality control 统计质量控制std. residual 标准残差stepwise regression analysis 逐步回归stimulus 刺激strong assumption 强假设stud. deleted residual 学生化剔除残差stud. residual 学生化残差subsamples 次级样本sufficient statistic 充分统计量sum 和sum of squares 平方和summary 概括,综述Ttable 表t-distribution t分布test 检验test criterion 检验判据test for linearity 线性检验test of goodness of fit 拟合优度检验test of homogeneity 齐性检验test of independence 独立性检验test rules 检验法则test statistics 检验统计量testing function 检验函数time series 时间序列tolerance limits 容许限total 总共,和transformation 转换treatment 处理trimmed mean 截尾均值true value 真值t-test t检验two-tailed test 双侧检验Uunbalanced 不平衡的unbiased estimation 无偏估计unbiasedness 无偏性uniform distribution 均匀分布Vvalue of estimator 估计值variable 变量variance 方差variance components 方差分量variance ratio 方差比various 不同的vector 向量Wweight 加权,权重weighted average 加权平均值within groups 组内的ZZ score Z分数2. 最优化方法词汇英汉对照表Aactive constraint 活动约束active set method 活动集法analytic gradient 解析梯度approximate 近似arbitrary 强制性的argument 变量attainment factor 达到因子Bbandwidth 带宽be equivalent to 等价于best-fit 最佳拟合bound 边界Ccoefficient 系数complex-value 复数值component 分量constant 常数constrained 有约束的constraint 约束constraint function 约束函数continuous 连续的converge 收敛cubic polynomial interpolation method 三次多项式插值法curve-fitting 曲线拟合Ddata-fitting 数据拟合default 默认的,默认的define 定义diagonal 对角的direct search method 直接搜索法direction of search 搜索方向discontinuous 不连续Eeigenvalue 特征值empty matrix 空矩阵equality 等式exceeded 溢出的Ffeasible 可行的feasible solution 可行解finite-difference 有限差分first-order 一阶GGauss-Newton method 高斯-牛顿法goal attainment problem 目标达到问题gradient 梯度gradient method 梯度法Hhandle 句柄Hessian matrix 海色矩阵Iindependent variables 独立变量inequality 不等式infeasibility 不可行性infeasible 不可行的initial feasible solution 初始可行解initialize 初始化inverse 逆invoke 激活iteration 迭代iteration 迭代JJacobian 雅可比矩阵LLagrange multiplier 拉格朗日乘子large-scale 大型的least square 最小二乘least squares sense 最小二乘意义上的Levenberg-Marquardt method 列文伯格-马夸尔特法line search 一维搜索linear 线性的linear equality constraints 线性等式约束linear programming problem 线性规划问题local solution 局部解Mmedium-scale 中型的minimize 最小化mixed quadratic and cubic polynomial interpolation and extrapolation method 混合二次、三次多项式内插、外插法multiobjective 多目标的Nnonlinear 非线性的norm 范数Oobjective function 目标函数observed data 测量数据optimization routine 优化过程optimize 优化optimizer 求解器over-determined system 超定系统Pparameter 参数partial derivatives 偏导数polynomial interpolation method 多项式插值法Qquadratic 二次的quadratic interpolation method 二次内插法quadratic programming 二次规划Rreal-value 实数值residuals 残差robust 稳健的robustness 稳健性,鲁棒性Sscalar 标量semi-infinitely problem 半无限问题Sequential Quadratic Programming method 序列二次规划法simplex search method 单纯形法solution 解sparse matrix 稀疏矩阵sparsity pattern 稀疏模式sparsity structure 稀疏结构starting point 初始点stationary point 驻点step length 步长subspace trust region method 子空间置信域法sum-of-squares 平方和symmetric matrix 对称矩阵Ttermination message 终止信息termination tolerance 终止容限the exit condition 退出条件the method of steepest descent 最速下降法transpose 转置Uunconstrained 无约束的under-determined system 负定系统Vvariable 变量vector 矢量Wweighting matrix 加权矩阵3 样条词汇英汉对照表Aapproximation 逼近array 数组a spline in b-form/b-spline b样条a spline of polynomial piece /ppform spline 分段多项式样条Bbivariate spline function 二元样条函数break/breaks 断点Ccoefficient/coefficients 系数cubic interpolation 三次插值/三次内插cubic polynomial 三次多项式cubic smoothing spline 三次平滑样条cubic spline 三次样条cubic spline interpolation 三次样条插值/三次样条内插curve 曲线Ddegree of freedom 自由度dimension 维数end conditions 约束条件Iinput argument 输入参数interpolation 插值/内插interval 取值区间Kknot/knots 节点Lleast-squares approximation 最小二乘拟合Mmultiplicity 重次multivariate function 多元函数Ooptional argument 可选参数order 阶次output argument 输出参数Ppoint/points 数据点rational spline 有理样条rounding error 舍入误差(相对误差)Sscalar 标量sequence 数列(数组)spline 样条spline approximation 样条逼近/样条拟合spline function 样条函数spline curve 样条曲线spline interpolation 样条插值/样条内插spline surface 样条曲面smoothing spline 平滑样条Ttolerance 允许精度Uunivariate function 一元函数Vvector 向量weight/weights 权重4 偏微分方程数值解词汇英汉对照表Aabsolute error 绝对误差absolute tolerance 绝对容限adaptive mesh 适应性网格Bboundary condition 边界条件Ccontour plot 等值线图converge 收敛coordinate 坐标系Ddecomposed 分解的decomposed geometry matrix 分解几何矩阵diagonal matrix 对角矩阵Dirichlet boundary conditionsDirichlet边界条件eigenvalue 特征值elliptic 椭圆形的error estimate 误差估计exact solution 精确解Ggeneralized Neumann boundary condition 推广的Neumann边界条件geometry 几何形状geometry description matrix 几何描述矩阵geometry matrix 几何矩阵graphical user interface(GUI)图形用户界面Hhyperbolic 双曲线的Iinitial mesh 初始网格Jjiggle 微调LLagrange multipliers 拉格朗日乘子Laplace equation 拉普拉斯方程linear interpolation 线性插值loop 循环Mmachine precision 机器精度mixed boundary condition 混合边界条件NNeuman boundary condition Neuman边界条件node point 节点nonlinear solver 非线性求解器normal vector 法向量PParabolic 抛物线型的partial differential equation 偏微分方程plane strain 平面应变plane stress 平面应力Poisson’s equation 泊松方程polygon 多边形positive definite 正定Qquality 质量Rrefined triangular mesh 加密的三角形网格relative tolerance 相对容限relative tolerance 相对容限residual 残差residual norm 残差范数Ssingular 奇异的。