数学公式英文表示

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数学专业英语词汇

数学专业英语词汇相信自己比依赖别人重要。

用尽心机不如静心做事数学 mathematics, maths(BrE), math(AmE) 公理 axiom 定理 theorem 计算calculation 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 root n次方根 the root of n, the nth root sqrt(2)=1.414 sqrt(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 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 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) 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 abscissa 横坐标 absolute value 绝对值 acute angle 锐角 adjacent angle 邻角 addition 加 algebra 代数 altitude 高 angle bisector 角平分线 arc 弧 area 面积 arithmetic mean 算术平均值(总和除以总数) arithmetic progression 等差数列(等差级数) arm 直角三角形的股 at 总计(乘法) average 平均值 base 底 be contained in 位于...上 bisect 平分center 圆心 chord 弦 circle 圆形 circumference 圆周长 circumscribe 外切，外接 clockwise 顺时针方向 closest approximation 最相近似的combination 组合 common divisor 公约数，公因子 common factor 公因子complementary angles 余角(二角和为90度) composite number 合数(可被除1及本身以外其它的数整除) concentric circle 同心圆 cone 圆锥(体积,1/3*pi*r*r*h) congruent 全等的 consecutive integer 连续的整数coordinate 坐标的 cost 成本 counterclockwise 逆时针方向 cube 1.立方数 2.立方体(体积,a*a*a 表面积,6*a*a) cylinder 圆柱体 decagon 十边形 decimal 小数 decimal point 小数点 decreased 减少 decrease to 减少到 decrease by 减少了 degree 角度 define 1.定义 2.化简 denominator 分母 denote 代表，表示 depreciation 折旧 distance 距离 distinct 不同的 dividend 1. 被除数 2.红利 divided evenly 被除数 divisible 可整除的 division 1.除 2.部分divisor 除数 down payment 预付款，定金 equation 方程 equilateral triangle 等边三角形 even number 偶数 expression 表达 exterior angle 外角face (立体图形的)某一面 factor 因子 fraction 1.分数 2.比例 geometric mean 几何平均值(N个数的乘积再开N次方) geometric progression 等比数列(等比级数) have left 剩余 height 高 hexagon 六边形 hypotenuse 斜边improper fraction 假分数 increase 增加 increase by 增加了 increase to 增加到 inscribe 内切，内接 intercept 截距 integer 整数 interest rate 利率in terms of... 用...表达 interior angle 内角 intersect 相交 irrational无理数 isosceles triangle 等腰三角形 least common multiple 最小公倍数least possible value 最小可能的值 leg 直角三角形的股 length 长 listprice 标价 margin 利润 mark up 涨价 mark down 降价 maximum 最大值 median, medium 中数(把数字按大小排列，若为奇数项，则中间那项就为中数，若为偶数项，则中间两项的算术平均值为中数。

数学词汇中英文对照（初中部分）方程与代数

数学词汇中英文对照（初中部分）方程与代数数学词汇中英文对照（初中部分）二、方程与代数代数（学）：algebra字母表示数：Use letters to indicate numbers代数式：algebraic expression单项式：monomial系数：coefficient次数：degree多项式：polynomial二项式：binomial三项式：trinomial二次三项式：second degree trinomial项：term常数项：constant term整式：integral expression升幂：in ascending order of the power降幂：in descending order of the power同类项：like terms合并：combine等式：equality, equation等号：sign of equality二次方：(x)squared三次方：(x)cubedn次方：(x)to the power of n/to the n-th power乘法公式：multiplication formula平方差：difference of squares平方差公式：formula for the difference of squares 完全平方：perfect square完全平方公式：formula for the perfect square分解因式：factorizing公因式：common factor提公因式法：method of extracting common factors 十字相乘法：method of cross multiplication分组分解法：method of regrouping长除法：long division分离系数法：method of detached coefficients分式：algebraic fraction无意义：illegal有意义：legal有理式：rational expression约分：reduction of a fraction最简分式：simplest fraction通分：turn fractions to a common denominator最简公分母：simplest common denominator根式：radical根指数：radical exponent被开方数：radicand二次根式：quadratic surd最简二次根式：simplest quadratic surd同类二次根式：similar quadratic surds分母有理化：rationalize a denominator有理化因式：rationalizing factor根：root增根：extraneous root已知数：given number未知数：unknown number方程：equation列方程：form an equation等量关系：equality检验：check根：root解方程：solving equation解法、解：solution一元一次方程：linear equation in one variable方程的解：solution of equation移项：transposition of terms去括号：remove brackes去分母：remove denominator化简：simplify不成立：false不等式：inequality一元一次不等式：linear inequality in one unknown一元一次不等式组：system of linear inequalities in one variable不等号：non-equal sign含绝对值的不等式：inequality with absolute value大于：greater than小于：less than大于等于：greater than or equal to小于等于：less than or equal to不等式性质：property of inequality解集：solution set解不等式：solve inequality公共部分：common part无解：no solution二元一次方程：linear equation in two unknowns二元一次方程组：system of linear equations in two unknowns 代入（消元）法：elimination by substitution加减（消元）法：elimination by addition and subtraction三元一次方程：linear equation in three unknowns三元一次方程组：system of linear equations in three unknowns一元二次方程：quadratic equation in one unknown一般式：general form二次项：quadratic term一次项：linear term常数项：constant term开平方法：radication因式分解法：factorization配方法：complete a perfect squae求根公式法： formula method一元二次方程根的判别式：discriminant of quadratic equation in one variable整式方程：integral equation一元整式方程：linear integral eqution一元高次方程：linear high-order equation二项方程：binomial equation双二次方程：biquadratic equation分式方程：fractional equation无理方程：irrational equation二元二次方程：quadratic equation in two variables一元二次不等式：quadratic inequality in one variable。

常用数学词汇的英语表达

常用数学词汇的英语表达数学 mathematics，maths公理 axiom定理 theorem计算 calculation运算 operation证明 prove假设 hypothesis, hypotheses(pl.)命题 proposition定理 theorem定义 defination算术 arithmetic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, difference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大于 greater than小于 less than大于等于 equal or greater than小于等于 equal or less than运算符 operator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 hexadecimalsystem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 figure代数 algebra公式 formula,formulae(pl.)单项式 monomial多项式 polynomial, multinomial系数 coefficient未知数 unknown等式，方程式equation一次方程 linear equation二次方程 quadratic equation三次方程 cubic equation四次方程 quartic equation不等式 inequality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 powern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 set元素 element空集 empty set子集 subset交集 intersection并集 union补集 complement映射 mapping函数 function定义域 domain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, sequence微积分 calculus微分 differentiation导数 derivative极限 limit无穷 infinite(a.) infinity(n.)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 inscribedcircle外切圆 circumcircle统计 statistics平均数 average加权平均数 weighted average方差 variance标准差 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 probability分布 distribution正态分布 normaldistribution条形统计图 bar graph柱形统计图 frequency histogram折线统计图frequency polygon曲线统计图 curve diagram扇形统计图 pie diagram。

英文介绍数学公式

英文介绍数学公式：轻松掌握基础与进阶技巧在英文世界中，数学公式是沟通数学概念和逻辑关系的重要工具。

下面，我们将一起探索一些常见的数学公式，并了解如何在英文中准确地介绍它们。

1. 基本数学公式（1）加法公式：Addition Formula当我们需要计算两个或多个数的总和时，可以使用加法公式。

例如，3 + 4 = 7，在英文中表达为 "Three plus four equals seven."（2）减法公式：Subtraction Formula减法公式用于计算两个数之间的差值。

例如，8 5 = 3，可以表述为 "Eight minus five equals three."（3）乘法公式：Multiplication Formula乘法公式用于计算两个或多个数的乘积。

例如，6 × 7 = 42，英文表达为 "Six multiplied seven equals fortytwo."（4）除法公式：Division Formula除法公式用于计算一个数被另一个数除的结果。

例如，21 ÷ 3 = 7，可以表述为 "Twentyone divided three equals seven."2. 进阶数学公式（1）平方公式：Square Formula平方公式用于计算一个数的平方。

例如，x² 表示 x 的平方，在英文中表达为 "x squared."（2）平方根公式：Square Root Formula平方根公式用于求解一个数的平方根。

例如，√16 = 4，可以表述为 "The square root of sixteen is four."（3）指数公式：Exponential Formula指数公式用于表示一个数的幂次方。

例如，2^3 = 8，英文表达为"Two raised to the power of three equals eight."2. 高级数学公式及其应用（1）三角函数公式：Trigonometric Functions在解决几何问题时，三角函数公式尤为重要。

加减乘除数字英语表达

1. “加”用plus，and或add表示；“等于”用is，make，equal等词表示。

2+3=? 可表示为： How much is two plus three?2+3=5Two plus three is five．Two and three is equal to five．Two and three make five．Two added to three equals five．If we add two to/and three, we get five．二加三等于五2. “减”用 minus或 take from表示10－6＝? How much is ten minus six?10-6=4Ten minus six is four．Take six from ten and the remainder is four.Six (taken) from ten is four．十减去六等于四3. “乘”用time（动词）或multiply表示3X4＝? How much is three times four?3X4=12Three times four is/are twelve．Multiply three by four，we get twelve．Three multiplied by four makes twelve．三乘以四等于十二4. “除”用divide的过去分词形式表示16÷4=? How much is sixteen divided by four?16÷4＝4Sixteen divided by four is four．Sixteen divided by four equals/gives/makes four．十六除以四等于四。

五、分数表示法1. 分数是由基数词和序数词一起来表示的。

基数词作分子，序数词作分母，除了分子是“1”以外，其它情况下序数词都要用复数形式。

不同数学公式的英文表达法

数学公式的英文表达

1.Logic∃there ex ist∀for allp⇒q p implies q / if p, then qp⇔q p if and onl y if q /p is equivalent to q / p and q are equi v alent 2.Setsx∈A x bel ongs to A / x is an element (or a member) of Ax∉A x does not bel ong to A / x is not an element (or a member) of A A⊂B A is c ontained in B / A is a subset of BA⊃B A c ontains B / B is a subs et of AA∩B A cap B / A meet B / A i ntersec tion BA∪B A c up B / A join B / A union BA\B A minus B / the diference between A and BA×B A cross B / the cartesi an product of A and B3. Real numbersx+1 x plus onex-1 x minus onex±1 x plus or minus onexy xy / x multiplied by y(x - y)(x + y) x minus y, x plus yx y x ov er y= the equals signx = 5 x equals 5 / x is equal to 5x≠5 x (is) not equal t o 5x≡y x is equi valent to (or identical with) yx ≡ y x is not equi v al ent to (or i dentical with) yx > y x is greater than yx≥y x is greater than or equal to yx < y x is l ess than yx≤y x is less than or equal to y0 < x < 1 z ero is less than x is l ess than 10≤x≤1 zero is less than or equal to x is less than or equal to 1| x | mod x / modulus xx 2 x squared / x (raised) to the power 2x 3 x cubedx 4 x to the fourth / x to the power fourx n x to the nth / x to the power nx −n x to the (power) minus nx(square) root x / the squar e root of xx 3 cube root (of) xx 4 fourth r oot (of) xx n nth root (of) x( x+y ) 2 x plus y all squared( x y ) 2 x over y all squaredn! n factorialx ^ x hatx ¯x barx ˜x tildex i x i / x subscript i / x suffix i / x s ub i∑ i=1 n a i the sum from i equals one to n a i / the sum as i runs from 1 to n of the a i 4. Li near algebra‖x‖the nor m (or modulus) of xOA → OA / vector OAOA ¯OA / the length of the s egment OAA T A transpose / the tr anspose of AA −1 A i nv erse / the inverse of A5. Functionsf( x ) fx / f of x / the func tion f of xf:S→T a function f from S to Tx→y x maps to y / x is sent (or mapped) to yf'( x ) f pri me x / f das h x / the (first) deri v ati ve of f with respect to xf''( x ) f doubl e-prime x / f doubl e-das h x / the sec ond derivati v e of f with res pect to x f'''( x ) triple-prime x / f triple-dash x / the third deri v ati ve of f with respect to xf (4) ( x ) f four x / the fourth deri v ati ve of f with respect to x∂f ∂ x 1 the partial (deri v ati ve) of f with res pec t to x1∂ 2 f ∂ x 1 2 the s econd par tial (derivati v e) of f with respect to x1∫ 0 ∞ the integral from zero to infinitylim⁡ x→0 the li mit as x approaches zerolim⁡ x→ 0 + the li mit as x approaches zero from abovelim⁡ x→ 0 − the li mit as x approach es zero from belowlog e y log y to the base e / log to the base e of y / natural l og (of) yln⁡y log y to the base e / l og to the bas e e of y / natural log (of) y一般词汇数学mathematics, maths(BrE), math(AmE)公理ax i om定理theorem计算calculation运算operation证明prov e假设hypothesis, hypothes es(pl.)命题propositi on算术arithmetic加plus(prep.), add(v.), additi on(n.)被加数augend, s ummand加数addend和sum减minus(pr ep.), s ubtract(v.), subtracti on(n.) 被减数minuend减数subtrahend差remainder乘times(prep.), multipl y(v.), multi plication(n.) 被乘数multiplicand, faci end乘数multiplicator积produc t除div ided by(prep.), div i de(v.), di v ision(n.)被除数div idend除数div isor商quotient等于equals, is equal to, is equi valent 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 less er 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denomi nator比ratio正positi v e负negati v e零null, zero, nought, nil十进制decimal s y stem二进制binar y s y stem十六进制hex adeci mal s y stem权weight, significance进位carry截尾truncati on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formul a, formulae(pl.)单项式monomial多项式pol y nomi al, multinomial系数coefficient未知数unk nown, x-factor, y-factor, z-factor 等式，方程式equation一次方程simple equati on二次方程quadratic equation三次方程cubic equation四次方程quartic equati on不等式inequati on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evoluti on, ex trac tion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v oi d子集subset交集intersection并集union补集complement映射mapping函数functi on定义域domain, field of definition值域range常量constant变量v ariable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极限limit无穷大infinite(a.) i nfinity(n.)无穷小infinitesi mal积分integral定积分definite integral不定积分indefi nite i ntegral有理数rational number无理数irrational number实数real number虚数imaginar y number复数complex number矩阵matri x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Pythagor ean 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平行四边形parallelogram 矩形rectangle长length宽width。

MathEnglish数学式子英语表达法

17.2.1999/H.V¨a liahoPronunciation of mathematical expressionsThe pronunciations of the most common mathematical expressions are given in the list below.In general,the shortest versions are preferred(unless greater precision is necessary).1.Logic∃there exists∀for allp⇒q p implies q/if p,then qp⇔q p if and only if q/p is equivalent to q/p and q are equivalent2.Setsx∈A x belongs to A/x is an element(or a member)of Ax/∈A x does not belong to A/x is not an element(or a member)of AA⊂B A is contained in B/A is a subset of BA⊃B A contains B/B is a subset of AA∩B A cap B/A meet B/A intersection BA∪B A cup B/A join B/A union BA\B A minus B/the diﬀerence between A and BA×B A cross B/the cartesian product of A and B3.Real numbersx+1x plus onex−1x minus onex±1x plus or minus onexy xy/x multiplied by y(x−y)(x+y)x minus y,x plus yxx over yy=the equals signx=5x equals5/x is equal to5x=5x(is)not equal to5x ≡yx is equivalent to (or identical with)y x ≡yx is not equivalent to (or identical with)y x >yx is greater than y x ≥yx is greater than or equal to y x <yx is less than y x ≤yx is less than or equal to y 0<x <1zero is less than x is less than 10≤x ≤1zero is less than or equal to x is less than or equal to 1|x |modx /modulus x x 2x squared /x (raised)to the power 2x 3x cubed x 4x to the fourth /x to the power four x nx to the n th /x to the power n x −n x to the (power)minus n √x (square)root x /the square root of x 3√x cube root (of)x 4√x fourth root (of)x n √xn th root (of)x (x +y )2x plus y all squared x y 2x over y all squaredn !n factorialˆx x hat¯x x bar˜x x tildex ixi /x subscript i /x suﬃx i /x sub i n i =1a i the sum from i equals one to n a i /the sum as i runs from 1to n of the a i4.Linear algebrax the norm (or modulus)of x −−→OAOA /vector OA OAOA /the length of the segment OA A TA transpose /the transpose of A A −1A inverse /the inverse of A5.Functionsf(x)fx/f of x/the function f of xf:S→T a function f from S to Tx→y x maps to y/x is sent(or mapped)to yf (x)f prime x/f dash x/the(ﬁrst)derivative of f with respect to xf (x)f double–prime x/f double–dash x/the second derivative of f withrespect to xf (x)f triple–prime x/f triple–dash x/the third derivative of f with respectto xf(4)(x)f four x/the fourth derivative of f with respect to x∂f∂x1the partial(derivative)of f with respect to x1∂2f ∂x21the second partial(derivative)of f with respect to x1∞0the integral from zero to inﬁnitylimx→0the limit as x approaches zerolimx→+0the limit as x approaches zero from abovelimx→−0the limit as x approaches zero from belowlog e y log y to the base e/log to the base e of y/natural log(of)yln y log y to the base e/log to the base e of y/natural log(of)yIndividual mathematicians often have their own way of pronouncing mathematical expres-sions and in many cases there is no generally accepted“correct”pronunciation. Distinctions made in writing are often not made explicit in speech;thus the sounds fx may be interpreted as any of:fx,f(x),f x,F X,F X,−−→F X.The diﬀerence is usually made clear by the context;it is only when confusion may occur,or where he/she wishes to emphasise the point,that the mathematician will use the longer forms:f multiplied by x,the function f of x,f subscript x,line F X,the length of the segment F X,vector F X.Similarly,a mathematician is unlikely to make any distinction in speech(except sometimes a diﬀerence in intonation or length of pauses)between pairs such as the following:x+(y+z)and(x+y)+z√ax+b and√ax+ba n−1and a n−1The primary reference has been David Hall with Tim Bowyer,Nucleus,English for Science and Technology,Mathematics,Longman1980.Glen Anderson and Matti Vuorinen have given good comments and supplements.数学名词的英文翻译数学 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 powern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 root n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)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 powern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 diagram1.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　dividedevenly被整除　dividend被除数，红利　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(e.g.5　x　+6=22)　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，e.g.｜-32｜=32　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　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　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 ordinaryscale,decimalscale十进制　nonnegative非负的 tens十位　units个位 mode众数　median中数 commonratio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　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　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　supplement aryangles 补角　complement aryangle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　cros ssection横截面　center of acircle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　medianofatriangle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　numberline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　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)　squaremeasure平方单位制　cubicmeter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(leapyear)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打平加 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 difference乘 times(prep.), multiply(v.), multiplication(n.)被乘数 multiplicand, fancied乘数 multiplication积 product除 divided by(prep.), divide(v.), division(n.)可被整除的数 divisible被整除divided evenly被除数 dividend除数 divisor余数remainder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 whole number ，integer正整数positive whole number负整数negative whole number连续整数consecutive number奇数odd integer, odd number偶数even integer, even number合数composite number e.g. 4,6,8,9,10,12,14,15…质数prime number e.g.2,3,5,7,11,13,15…倒数inverse reciprocal小数 decimal小数点 decimal point纯小数decimal fraction无穷小数Infinite decimal循环小数recurring decimal分数 fraction真分数proper fraction假分数improper fraction带分数mixed number普通分数vulgar fraction，common fraction简分数simple fraction繁分数complex fraction四分之一quarter分子 numerator分母 denominator公约数common divisor倍数multiple(质)因子(prime) factor公因子common factor比 ratio正 positive正数positive number　负 negative负数negative number非负的nonnegative零 null, zero, nought, nil十进制 decimal system十位tens个位units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加法 addition 减法subtraction 乘法multiplication 除法division 加 add, plus 减 minus, subtract 乘 times, multiply 除divided by 加数addend 和sum被减数minuend 减数subtractend 差difference被乘数multiplicand 乘数multiplier 因数factor 积product被除数dividend 除数divisor 商quotient大于greater than 小于 less than 等于 equal一位数1-digit number 两位数2-digit number小数decimal 小数点decimal point 循环小数recurring decimal整数whole number 自然数nature number 分数fraction质数prime number 合数composite number条形统计图bar graph 线形统计图straight line graph最小公倍数 the Lowest Common 最大公约数 the Highest Common平均数average 近似值approximation 估算estimation混合运算Mixed Operation 等式equation 百分比percentage结合律 the Associative Property of分配律 the Distributive Property of …交换律 the Reflexive Property of…mathematics 数学 theorem 定理 calculation 计算operation 运算 arithmetic 算术,四则运算2 plus 1 equals3 二加一等于三4 minus 2 equals 2 四减二等于二4 multiplied by 5, 4 times5 四乘以五nought point four 零点四 ratio 比 proportion 比例numerator 分子 common denominator 公分母exponent 指数 differential calculus 微分学integral calculus 积分 slide rule 计算尺power 幂, 乘方 to raise to the power of five 使乘五次方x squared 某数的平方 cube 三次方three cubed 三次方的 to the fourth power, to the power of four 乘四次方 square root 平方根 cube root 立方根rule of three 比例法 logarithm 对数equation 等式,方程式 unknown 未知数．period 句号，comma 逗号：colon 冒号；semicolon 分号！exclamation 惊叹号？question mark 问号￣ hyphen 连字符 'apostrophe 省略号；所有格符号—dash 破折号 ‘ ’single quotation marks 单引号“ ”double quotation marks 双引号 ...ellipsis 省略号( )parentheses 圆括号 [ ]square brackets 方括号《》French quotes 法文引号；书名号 ¨ tandem colon 双点号"ditto 同上 ‖ parallel 双线号／virgule 斜线号＆ ampersand= and ～swung dash 代字号§section; division 分节号 →arrow 箭号；参见号plus sign 加号 minus sign 减号＋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＜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 ∷equals, as (proportion) 等于，成比例∵since; because 因为 ∴hence 所以∠angle 角 ⌒semicircle 半圆⊙circle 圆 ○circumference 圆周πpi 圆周率 △triangle 三角形⊥perpendicular to 垂直于 °degree 度′minute 分 ″second 秒＃number …号 ℃Celsius system 摄氏度＠ at 单价Pronunciation of Numerals 数词的读法1.Cardinals and Ordinals 基数和序数(1)100以内的数词基数序数Roman ArabicNumerals Numerals罗马数字阿拉伯数字读法数码读法I 1 one 1st the firstII 2 two 2nd the secondIII 3 three 3rd the thirdIV 4 four 4th the fourthV 5 five 5th the fifthVI 6 six 6th the sixthVII 7 seven 7th the seventhVIII 8 eight 8th the eighthIX 9 nine 9th the ninthX 10 ten 10th the tenthXI 11 eleven 11th the eleventhXII 12 twelve 12th the twelfthXIII 13 thirteen 13th the thirteenthXIV 14 fourteen 14th the fourteenthXV 15 fifteen 15th the fifteenthXVI 16 sixteen 16th the sixteenthXVII 17 seventeen 17th the seventeenth XVIII 18 eighteen 18th the eighteenthXIX 19 nineteen 19th the nineteenthXX 20 twenty 20th the twentiethXXI 21 twenty-one 21st the twenty-first XXV 25 twenty-five 25th the twenty-fifth XXX 30 thirty 30th the thirtiethXL 40 forty 40th the fortiethL 50 fifty 50th the fiftiethLX 60 sixty 60th the sixtiethLXX 70 seventy 70th the seventiethLXXX 80 eighty 80th the eightiethXC 90 ninety 90th the ninetiethIC 99 ninety-nine 99th the ninety-ninthC 100 one hundred 100th the hundredthCII 102 a hundred 102nd the (one) hundred and two and second246 two hundred and forty-six751 seven hundred and fifty-one(2)1000以上的数词1,000 = one thousand 一千10,000 = ten thousand 一万100,000 = one hundred thousand 十万1,000,000 = one million 一百万10,000,000 = ten million 一千万100,000,000=one hundred million 一亿(3)十亿以上的大数，英美有不同的读法：英国美国十亿 one thousand million = one billion百亿 ten thousand million = ten billion千亿 one hundred thousand million = one hundred billion万亿 one billion = one trillion2.Fractions 分数通常将分子读为基数，将分母读为序数。

数字公式的英文表达

读作：zero point three fives equals zero point five recurring 7 ● 0 .3
读作： zero point three seven recurring ● 0.37 读作：zero point three seven repetend three, seven ● 0.37 读作： zero point seven repetent seven
10亿以上的数，英式英语和美式英语表达不同。 billion：1×109（美式）； 1×1012（英式） trillion：1×1012（美式）； 1×1018（英式） quadrillion：1×1015（美式）； 1×1024（英式） quintillion： 1×1018 （美式）； 1×1030 （英式） sextillion：1×1021（美式）； 1×1036（英式） septillion：1×1024 （美式）； 1×1042 （英式） octillion：1×1027 （美式）； 1×1048 （英式） nonillion：1×1030（美式）； 1×1054 英式） decillion： 1×1033（美式）； 1×1060 英式）注意在上述这样的数词中， hundred，thousand，million， billion，trillion等词一般是单数形式。例如：two hundred，three million，five trillion，etc.
●x· y 读作：x times y或x multiplied by y ● 9÷4 读作：nine divided by four ●1:2 读作：the ratio of one to two
●a:b 读作：a is to b ● 0.3% 读作：zero point three percent ● 3.8 ‰ 读作：three point eight per mille ● (6 5 4.66 3) 3

常用数学公式的英语表达[1]

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常用数学公式的英语表述

常用的数学英‎语表述1.Logic∃there exist∀for allp⇒q p implie‎s q / if p, then qp⇔q p if and only if q /p is equiva‎l ent to q / p and q are equiva‎l ent 2.Setsx∈A x belong‎s to A / x is an elemen‎t (or a member‎)of Ax∉A x does not belong‎to A / x is not an elemen‎t (or a member‎)of A A⊂B A is contai‎n ed in B / A is a subset‎of BA⊃B A contai‎n s B / B is a subset‎of AA∩B A cap B / A meet B / A inters‎e ction‎BA∪B A cup B / A join B / A union BA\B A minus B / the difere‎n ce betwee‎n A and BA×B A cross B / the cartes‎i an produc‎t of A and B3. Real number‎sx+1 x plus onex-1 x minus onex±1 x plus or minus onexy xy / x multip‎l ied by y(x - y)(x + y) x minus y, x plus yx y x over y= the equals‎signx = 5 x equals‎5 / x is equal to 5x≠5x (is) not equal to 5x≡y x is equiva‎l ent to (or identi‎c al with) yx‎≡‎y x is not equiva‎l ent to (or identi‎c al with) yx > y x is greate‎r than yx≥y x is greate‎r than or equal to yx < y x is less than yx≤y x is less than or equal to y0 < x < 1 zero is less than x is less than 10≤x≤1zero is less than or equal to x is less than or equal to 1 | x | mod x / modulu‎s xx 2 x square‎d / x (raised‎)to the power 2x 3 x cubedx 4 x to the fourth‎/ x to the power fourx n x to the nth / x to the power nx‎−n x to the (power) minus nx (square‎) root x / the square‎root of xx 3 cube root (of) xx 4 fourth‎root (of) xx n nth root (of) x( x+y ) 2 x plus y all square‎d( x y ) 2 x over y all square‎dn! n factor‎i alx ^ x hatx ¯x barx‎˜x tildex i xi / x subscr‎i pt i / x suffix‎i / x sub i∑‎i=1 n a i the sum from i equals‎one to n a i / the sum as i runs from 1 to n of the a i4. Linear‎algebr‎a‖x ‖ the norm (or modulu‎s) of xOA‎→ OA / vector‎OAOA ¯ OA / the length‎of the segmen‎t OAA T A transp‎o se / the transp‎o se of AA −1 A invers‎e/ the invers‎e of A5. Functi‎o nsf( x ) fx / f of x / the functi‎o n f of xf:S→T a functi‎o n f from S to Tx→y x maps to y / x is sent (or mapped‎)to yf'( x ) f prime x / f dash x / the (first) deriva‎t ive of f with respec‎t to xf''( x ) f double‎-prime x / f double‎-dash x / the second‎deriva‎t ive of f with respec‎t to xf'''( x ) triple‎-prime x / f triple‎-dash x / the third deriva‎t ive of f with respec‎t to xf (4) ( x ) f four x / the fourth‎deriva‎t ive of f with respec‎t to x∂f‎∂‎x‎1 the partia‎l (deriva‎t ive) of f with respec‎t to x1∂‎2 f‎∂‎x‎1 2 the second‎partia‎l (deriva‎t ive) of f with respec‎t to x1∫‎0 ∞ the integr‎a l from zero to infini‎t ylim⁡x→0 the limit as x approa‎c hes zerolim⁡x→‎0 + the limit as x approa‎c hes zero from abovelim⁡x→‎0 − the limit as x approa‎c hes zero from belowlog e y log y to the base e / log to the base e of y / natura‎l log (of) y ln⁡y log y to the base e / log to the base e of y / natura‎l log (of) y一般词汇数学 mathem‎a tics, maths(BrE), math(AmE)公理axiom定理 theore‎m计算 calcul‎a tion运算 operat‎i on证明prove假设hypoth‎e sis, hypoth‎e ses(pl.)命题 propos‎i tion算术 arithm‎e tic加 plus(prep.), add(v.), additi‎o n(n.)被加数 augend‎, summan‎d加数 addend‎和sum减 minus(prep.), subtra‎c t(v.), subtra‎c tion(n.) 被减数 minuen‎d减数 subtra‎h end差 remain‎d er乘times(prep.), multip‎l y(v.), multip‎l icati‎o n(n.) 被乘数 multip‎l icand‎, facien‎d乘数 multip‎l icato‎r积 produc‎t除 divide‎d by(prep.), divide‎(v.), divisi‎o n(n.) 被除数 divide‎n d除数 diviso‎r商 quotie‎n t等于 equals‎, is equal to, is equiva‎l ent to大于 is greate‎r than小于 is lesser‎than大于等于 is equal or greate‎r than小于等于 is equal or lesser‎than运算符 operat‎o r数字digit数 number‎自然数 natura‎l number‎整数intege‎r小数 decima‎l小数点 decima‎l point分数 fracti‎o n分子 numera‎t or分母 denomi‎n ator比ratio正 positi‎v e负 negati‎v e零 null, zero, nought‎,nil十进制 decima‎l system‎二进制 binary‎system‎十六进制 hexade‎c imal system‎权 weight‎, signif‎i cance‎进位carry截尾 trunca‎t ion四舍五入round下舍入round down上舍入round up有效数字 signif‎i cant digit无效数字 insign‎i fican‎t digit代数 algebr‎a公式 formul‎a, formul‎a e(pl.)单项式 monomi‎a l多项式 polyno‎m ial, multin‎o mial系数 coeffi‎c ient未知数 unknow‎n, x-factor‎, y-factor‎, z-factor‎等式，方程式 equati‎o n一次方程 simple‎equati‎o n二次方程 quadra‎t ic equati‎o n三次方程 cubic equati‎o n四次方程 quarti‎c equati‎o n不等式inequa‎t ion阶乘 factor‎i al对数 logari‎t hm指数，幂 expone‎n t乘方power二次方，平方 square‎三次方，立方cube四次方 the power of four, the fourth‎power n次方the power of n, the nth power开方 evolut‎i on, extrac‎t ion二次方根，平方根 square‎root三次方根，立方根cube root四次方根 the root of four, the fourth‎root n次方根the root of n, the nth root集合 aggreg‎a te元素 elemen‎t空集void子集 subset‎交集 inters‎e ction‎并集union补集 comple‎m ent映射 mappin‎g函数 functi‎o n定义域 domain‎, field of defini‎t ion值域range常量 consta‎n t变量 variab‎l e单调性 monoto‎n icity‎奇偶性 parity‎周期性 period‎i city图象image数列，级数 series‎微积分 calcul‎u s微分 differ‎e ntial‎导数 deriva‎t ive极限limit无穷大 infini‎t e(a.) infini‎t y(n.) 无穷小 infini‎t esima‎l积分 integr‎a l定积分 defini‎t e integr‎a l不定积分 indefi‎n ite integr‎a l 有理数 ration‎a l number‎无理数 irrati‎o nal number‎实数 real number‎虚数 imagin‎a ry number‎复数 comple‎x number‎矩阵 matrix‎行列式 determ‎i nant几何 geomet‎r y点point线line面plane体solid线段 segmen‎t射线 radial‎平行 parall‎e l相交 inters‎e ct角angle角度 degree‎弧度 radian‎锐角acute angle直角right angle钝角 obtuse‎angle平角 straig‎h t angle周角 perigo‎n底base边side高 height‎三角形 triang‎l e锐角三角形 acute triang‎l e直角三角形 right triang‎l e直角边leg斜边 hypote‎n use勾股定理 Pythag‎o rean theore‎m钝角三角形 obtuse‎triang‎l e不等边三角形‎scalen‎e triang‎l e等腰三角形 isosce‎l es triang‎l e等边三角形 equila‎t eral triang‎l e四边形 quadri‎l atera‎l平行四边形 parall‎e logra‎m矩形 rectan‎g le长 length‎宽width附：在一个分数里‎，分子或分母或‎两者均含有分‎数。

数学公式的英文读法

数学公式的英文读法&数学英文词汇1.Logic∃ there exist∀ for allp⇒q p implies q / if p, then qp⇔q p if and only if q /p is equivalent to q / p and q are equivalent2.Setsx∈A x belongs to A / x is an element (or a member) of Ax∉A x does not belong to A / x is not an element (or a member) of AA⊂B A is contained in B / A is a subset of BA⊃B A contains B / B is a subset of AA∩B A cap B / A meet B / A intersection BA∪B A cup B / A join B / A union BA\B A minus B / the diference between A and BA×B A cross B / the cartesian product of A and B3. Real numbersx+1 x plus onex-1 x minus onex±1 x plus or minus onexy xy / x multiplied by y(x - y)(x + y) x minus y, x plus yx y x over y= the equals signx = 5 x equals 5 / x is equal to 5x≠5 x (is) not equal to 5x≡y x is equivalent to (or identical with) yx ≡ y x is not equivalent to (or identical with) yx > y x is greater than yx≥y x is greater than or equal to yx < y x is less than yx≤y x is less than or equal to y0 < x < 1 zero is less than x is less than 10≤x≤1 zero is less than or equal to x is less than or equal to 1 | x | mod x / modulus xx 2 x squared / x (raised) to the power 2x 3 x cubedx 4 x to the fourth / x to the power fourx n x to the nth / x to the power nx −n x to the (power) minus nx (square) root x / the square root of xx 3 cube root (of) xx 4 fourth root (of) xx n nth root (of) x( x+y ) 2 x plus y all squared( x y ) 2 x over y all squaredn! n factorialx ^ x hatx ¯ x barx ˜ x tildex i xi / x subscript i / x suffix i / x sub i∑ i=1 n a i the sum from i equals one to n a i / the sum as i runs from 1 to n of the a i4. Linear algebra‖ x ‖ the norm (or modulus) of xOA → OA / vector OAOA ¯ OA / the length of the segment OAA T A transpose / the transpose of AA −1 A inverse / the inverse of A5. Functionsf( x ) fx / f of x / the function f of xf:S→T a function f from S to Tx→y x maps to y / x is sent (or mapped) to yf'( x ) f prime x / f dash x / the (first) derivative of f with respect to xf''( x ) f double-prime x / f double-dash x / the second derivative of f with respect to xf'''( x ) triple-prime x / f triple-dash x / the third derivative of f with respect to xf (4) ( x ) f four x / the fourth derivative of f with respect to x∂f ∂ x 1 the partial (derivative) of f with respect to x1∂ 2 f ∂ x 1 2 the second partial (derivative) of f with respect to x1 ∫ 0 ∞ the integral from zero to infinitylim⁡x→0 the limit as x approaches zerolim⁡x→ 0 + the limit as x approaches zero from abovelim⁡x→ 0 − the limit as x approaches zero from belowlog e y log y to the base e / log to the base e of y / natural log (of) yln⁡y log y to the base e / log to the base e of y / natural log (of) y -证明题 (站内联系TA)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 root n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 diagram证明题 (站内联系TA)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dividedevenly被整除dividend被除数，红利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complexfraction繁分数numerator分子denominator分母(least)commondenominator（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，e.g.｜-32｜四舍五入有关数论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rea lnumber,rational number实数,有理数irrational（number）无理数inverse倒数composite number合数质数 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ordinaryscale,decimalscale十进制nonnegative非负的tens十位units个位mode众数median中数common ratio公比数列arithmetic progression(sequence)等差数列geometric progression(sequence)等比数列其它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supplement aryangles补角complement aryangle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inscribedtriangle内接三角形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cros ssection横截面center of acircle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medianofatriangle 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complex plane复平面其它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个摄氏Fahrenheit华氏quart夸脱gallon加仑码meter米micron微米inch英寸foot英尺minute分(角度的度量单位，60分=1度平方单位制cubicmeter立方米pint品脱(干量或液量的单位有关文字叙述题，主要是有关商业intercalary year(leapyear)闰年(366天平年(365天折旧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打平。

常见数学公式和符号的英文读法大全

（ 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
≤ 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
○circumference 圆周
πpi 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） summation of 总和
°degree 度
′minute 分
// 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
Ττ：套 Tau

数学基本公式英文版

1 Trigonometric Formulae
sin θ tan θ =
cos θ
1 cos θ
cot θ =
=
tan θ sin θ
1 sec θ =
cos θ
1 cosec θ =
sin θ
coin θ
sin2 θ + cos2 θ = 1
(ax + b)n
f ′(x) f (x)
(ax + b)n+1 (n ̸= −1)
a(n + 1)
1 (ax + b)
1 ln |ax + b|
a
ln |f (x)|
1 (ax + b)(cx + d)
1
(ax + b)
ln
(ad − bc ̸= 0)
(ad − bc) (cx + d)
sin (ax)
cos θ − cos ϕ = 2 sin θ + ϕ sin ϕ − θ
2
2
sin 2θ = 2 sin θ cos θ cos 2θ = cos2 θ − sin2 θ = 2 cos2 θ − 1 = 1 − 2 sin2 θ
1
2 Hyperbolic Formulae
ex − e−x sinh x =
1 eax (a cos bx + b sin bx) (a2 + b2)
1
√
(a2x2 − b2)
1
√
(x2 ± a2)
1
ax
arccosh ( )
a
b
{√
}
ln x + (x2 ± a2)

数学运算的英文表达

减minus乘multiply除division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 root n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)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。