数学公式的英文表达
数学常用词汇中英对照
数学常用词汇中英⽂文对照代数部分1、有关基本运算add，plus加subtract减difference差multiply,times乘product积divide除divisible可被整除的divide by被整除dividend被除数divisor因⼦子，除数quotient商remainder余数factorial阶乘power乘⽅方radical sign,root sign根号round to四舍五⼊入tothenearest四舍五⼊入2.有关集合union并集proper subset真⼦子集solution set解集3.有关代数式、⽅方程和不等式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三⾓角不等式range值域original equation原⽅方程equivalent equation同解⽅方程等价⽅方程linear equation线性⽅方程4.有关分数和⼩小数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分⼦子denominator分母(least)common denominator(最⼩小)公分母quarter四分之⼀一decimal fraction纯⼩小数infinite decimal⽆无穷⼩小数recurring decimal循环⼩小数tenths' digit⼗〸十分位5.基本数学概念arithmetic mean算术平均值weighted average加权平均值geometric mean⼏几何平均数exponent指数，幂base乘幂的底数,底边cube⽴立⽅方数，⽴立⽅方体square root平⽅方根cube root⽴立⽅方根common logarithm常⽤用对数digit数字constant常数variable变量inversefunction反函数complementary function余函数linear⼀一次的，线性的factorization因式分解absolute value绝对值，round off四舍五⼊入6.有关数论natural number⾃自然数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)⽆无理数inverse倒数composite number合数prime number质数reciprocal倒数common divisor公约数multiple倍数(least)common multiple(最⼩小)公倍数(prime)factor(质)因⼦子common factor公因⼦子ordinary scale,decimal scale⼗〸十进制nonnegative⾮非负的tens⼗〸十位units个位mode众数median中数common ratio公⽐比7.数列arithmetic progression(sequence)等差数列geometric progression(sequence)等⽐比数列8.其它approximate近似(anti)clockwise(逆)顺时针⽅方向cardinal基数ordinal序数direct proportion正⽐比distinct不同的estimation估计，近似parentheses括号proportion⽐比例permutation排列combination组合table表格trigonometric function三⾓角函数unit单位,位⼏几何部分1.所有的⾓角alternate angle内错⾓角corresponding angle同位⾓角vertical angle对顶⾓角central angle圆⼼心⾓角interior angle内⾓角exterior angle外⾓角supplementary angles补⾓角complementary angle余⾓角adjacent angle邻⾓角acute angle锐⾓角obtuse angle钝⾓角right angle直⾓角round angle周⾓角straight angle平⾓角included angle夹⾓角2.所有的三⾓角形equilateral triangle等边三⾓角形scalene triangle不等边三⾓角形isosceles triangle等腰三⾓角形right triangle直⾓角三⾓角形oblique斜三⾓角形inscribed triangle内接三⾓角形3.有关收敛的平⾯面图形，除三⾓角形外semicircle半圆concentric circles同⼼心圆quadrilateral四边形pentagon五边形hexagon六边形heptagon七边形octagon⼋八边形nonagon九边形decagon⼗〸十边形polygon多边形parallelogram平⾏行四边形equilateral等边形plane平⾯面square正⽅方形，平⽅方rectangle长⽅方形regular polygon正多边形rhombus菱形trapezoid梯形4.其它平⾯面图形arc弧line,straight line直线line segment线段parallel lines平⾏行线segment of a circle弧形5.有关⽴立体图形cube⽴立⽅方体，⽴立⽅方数rectangular solid长⽅方体regular solid/regular polyhedron正多⾯面体circular cylinder圆柱体cone圆锥sphere球体solid⽴立体的6.有关图形上的附属物altitude⾼高depth深度side边长circumference,perimeter周长radian弧度surface area 表⾯面积volume体积arm直⾓角三⾓角形的股cross section横截⾯面center of a circle圆⼼心chord弦radius半径angle bisector⾓角平分线diagonal对⾓角线diameter直径edge棱face of a solid⽴立体的⾯面hypotenuse斜边included side夹边leg三⾓角形的直⾓角边median of a triangle三⾓角形的中线base底边，底数opposite直⾓角三⾓角形中的对边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复平⾯面8. 其它plane geometry平⾯面⼏几何trigonometry三⾓角学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1、单位类cent美分penny⼀一美分硬币nickel5美分硬币dime⼀一⾓角硬币dozen打（12个）score廿(20个)Centigrade摄⽒氏Fahrenheit华⽒氏quart夸脱gallon加仑(1gallon=4quart)yard码meter⽶米micron微⽶米inch英⼨寸foot英尺minute分(⾓角度的度量单位，60分=1度) square measure平⽅方单位制cubic meter⽴立⽅方⽶米pint品脱(⼲干量或液量的单位)2.有关⽂文字叙述题，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表⽰示list price标价markup涨价per capita每⼈人ratio⽐比率retail price零售价tie打平集合与简易逻辑集合（集）set ⾮非负整数集the set of all non-negative integers ⾃自然数集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元素element属于belong to不属于not belong to有限集finite set⽆无限集infinite set空集empty set包含inclusion, include包含于lie in⼦子集subset真⼦子集proper subset补集（余集）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 numbers含绝对值的不等式inequality with absolute value⼀一元⼆二次不等式one-variable quadratic inequality逻辑logic逻辑联结词logic connective或or且and⾮非not真true假false真值表truth table原命题original proposition逆命题converse proposition否命题negative proposition逆否命题converse-negative proposition充分条件sufficient condition必要条件necessary condition充要条件sufficient and necessary condition ……的充要条件是……… if and only if …函数函数function⾃自变量argument定义域domain值域range区间interval闭区间closed interval开区间open interval函数的图象graph of function映射mapping象image原象inverse image单调monotone增函数increasing function减函数decreasing function单调区间monotone interval反函数inverse function指数exponent根式radical根指数radical exponent被开⽅方数radicand指数函数exponential function对数logarithm常⽤用对数common logarithm⾃自然对数natural logarithm对数函数logarithmic function数列数列sequence of number项term通项公式the formula of general term有穷数列finite sequence of number⽆无穷数列infinite sequence of number递推公式recurrence formula等差数列arithmetic progression ，arithmetic series 公差common difference等差中项arithmetic mean等⽐比数列 geometric series/progression公⽐比common ratio等⽐比中项geometric mean三⾓角函数三⾓角函数trigonometric function始边initial side终边terminal side正⾓角positive angle负⾓角negative angle零⾓角zero angle象限⾓角quadrant angle弧度radian弧度制radian measure⾓角度制degree measure正弦sine余弦cosine正切tangent余切cotangent正割secant余割cosecant诱导公式induction formula正弦曲线sine curve余弦曲线cosine curve最⼤大值maximum最⼩小值minimum周期period最⼩小正周期minimal positive period周期函数periodic function振幅amplitude of vibration频率frequency相位phase初相initial phase 反正弦arc sine反余弦arc cosine反正切arc tangent平⾯面向量有向线段directed line segment数量scalar quantity向量vector零向量zero vector相等向量equal vector共线向量collinear vectors平⾏行向量parallel vectors向量的数乘multiplication of vector by scalar 单位向量unit vector基底base基向量base vectors平移translation数量积inner product正弦定理sine theorem余弦定理cosine theorem不等式算术平均数arithmetic mean⼏几何平均数geometric mean⽐比较法method of compare综合法method of synthesis分析法method of analysis直线倾斜⾓角angle of inclination斜率gradient点斜式point slope form截距intercept斜截式 gradient intercept form两点式two-point form⼀一般式general form夹⾓角included angle线性规划linear programming约束条件constraint condition⽬目标函数 objective function可⾏行域feasible region最优解optimal solution圆锥曲线曲线curve坐标法method of coordinate解析⼏几何analytic geometry笛卡⼉儿Descartes标准⽅方程standard equation⼀一般⽅方程general equation参数⽅方程parameter equation参数parameter圆锥曲线point conic椭圆ellipse焦点focus, focal points代数部分1、有关基本运算add，plus加subtract减difference差multiply, times乘product积divide除divisible可被整除的divided evenly被整除dividend被除数divisor因⼦子，除数quotient商remainder余数factorial阶乘power乘⽅方radical sign, root sign根号round to四舍五⼊入to the nearest四舍五⼊入2.有关集合union并集proper subset真⼦子集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三⾓角不等式range值域original equation原⽅方程equivalent equation同解⽅方程等价⽅方程linear equation线性⽅方程(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分⼦子denominator分母(least)common denominator(最⼩小)公分母quarter四分之⼀一decimal fraction纯⼩小数infinite decimal⽆无穷⼩小数recurring decimal循环⼩小数tenths unit⼗〸十分位5.基本数学概arithmetic mean算术平均值weighted average加权平均值geometric mean⼏几何平均数exponent指数，幂base乘幂的底数,底边cube⽴立⽅方数，⽴立⽅方体square root平⽅方根cube root⽴立⽅方根common logarithm常⽤用对数digit数字constant常数variable变量inverse function反函数complementary function余函数linear⼀一次的，线性的factorization因式分解absolute value绝对值，e.g.|-32|=32round off四舍五⼊入6.有关数论natural number⾃自然数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……reciprocal倒数common divisor公约数multiple倍数(least)common multiple(最⼩小)公倍数(prime)factor(质)因⼦子common factor公因⼦子ordinary scale, decimal scale⼗〸十进制nonnegative⾮非负的tens⼗〸十位units个位mode众数median中数common ratio公⽐比7.数列arithmetic progression(sequence)等差数列geometric progression(sequence)等⽐比数列8.其它approximate近似(anti)clockwise(逆)顺时针⽅方向cardinal基数ordinal序数direct proportion正⽐比distinct不同的estimation估计，近似parentheses括号proportion⽐比例permutation排列combination组合table表格trigonometric function三⾓角函数unit单位,位几 何 部 分1.所有的角alternate angle内错⾓角corresponding angle同位⾓角vertical angle对顶⾓角central angle圆⼼心⾓角interior angle内⾓角exterior angle外⾓角supplement angles补⾓角complement angle余⾓角adjacent angle邻⾓角acute angle锐⾓角obtuse angle钝⾓角right angle直⾓角round angle周⾓角straight angle平⾓角included angle夹⾓角2.所有的三角形equilateral triangle等边三⾓角形scalene triangle不等边三⾓角形isosceles triangle等腰三⾓角形right triangle直⾓角三⾓角形oblique斜三⾓角形inscribed triangle内接三⾓角形3.有关收敛的平面图形，除三角形外semicircle半圆concentric circles同⼼心圆quadrilateral四边形pentagon五边形hexagon六边形heptagon七边形octagon⼋八边形nonagon九边形decagon⼗〸十边形polygon多边形parallelogram平⾏行四边形equilateral等边形plane平⾯面square正⽅方形，平⽅方rectangle长⽅方形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平⾏行线segment of a circle弧形5.有关立体图形cube⽴立⽅方体，⽴立⽅方数rectangular solid长⽅方体regular solid/regular polyhedron正多⾯面体circular cylinder圆柱体cone圆锥sphere球体solid⽴立体的6.有关图形上的附属物 altitude⾼高depth深度side边长circumference, perimeter周长radian弧度surface area 表⾯面积volume体积arm直⾓角三⾓角形的股cross section横截⾯面center of a circle圆⼼心chord弦radius半径angle bisector⾓角平分线diagonal对⾓角线diameter直径edge棱face of a solid⽴立体的⾯面hypotenuse斜边included side夹边leg三⾓角形的直⾓角边median of a triangle三⾓角形的中线base底边，底数(e.g.2的5次⽅方，2就是底数) opposite直⾓角三⾓角形中的对边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复平⾯面8.其它plane geometry平⾯面⼏几何trigonometry三⾓角学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多边的焦距focal length major/minor axis长／短轴eccentricity离⼼心率hyperbola双曲线real axis实轴imaginary axis虚轴asymptote渐近线parabola抛物线directrix准线。
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。
数学公式 英文表示
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 equivalent 2.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 A A⊂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 x f'''( 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) ylny log y to the base e / log to the base e of y / natural log (of) y+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 greater 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″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&ersand, 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&ersand = and～swung dash 代字号§section; division 分节号→arrow 箭号；参见号。
不同数学公式的英文表达法
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 equivalent 2.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 A A ⊂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 xO A → OA / vector OAO A ¯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 (derivat ive) 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。
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) ylny 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。
数学公式的英文读法
x
1
y y
y
xy / x multiplied by y x
x
x
x
y
y
x
the equals sign x equals 5 / x is equal to 5 x (is) not equal to 5
x
5
1
5
x 5
x
x ≡ y
x≡y
x is equivalent to (or identical with) y
x
x
y
n! x ˆ x ¯ x ˜ xi
i
x
n i=1
ai
the sum from i equals one to n ai / the sum as i runs from 1 to n of the ai
a
a
4. Linear algebra x − − → OA OA AT A−1 the norm (or modulus) of x OA / vector OA
x
OA
x
OA
OA / the length of the segment OA A transpose / the transpose of A A inverse / the inverse of A A 2
OA
A A
A
5. Functions f (x) x → y f (x) f (x) f (x) f (4) (x) ∂f ∂ x1 ∂2f ∂ x2 1 ∞
x
x
the second partial (derivative) of f with respect to x1 f the integral from zero to infinity the limit as x approaches zero the limit as x approaches zero from above the limit as x approaches zero from below
数学符号-希腊字母-公式英文发音和书写
Copyright 2020 by Prof. Hailiang Xiong
2020 c 5 10 F
1 \~¦Ø
Symbol +
× · ÷ /
Speak plus or positive minus or negative multiplies or times
the fraction x squared over a squared plus the fraction y squared over b squared equals 1 a x squared plus b x y plus c y squared plus d x plus e y plus f equals zero
y prime f prime of x nth derivative with respect to x of y
y to the nth prime p prime or first derivative of p p double prime or second derivative of p partial derivative of u with respect to x or partial u over partial x a sub ij
18
F1i1 Ñ\•{
Symbol α δ η κ ν π τ χ
Code \alpha \delta
\eta \kappa
\nu \pi \tau \chi
Symbol β
θ λ ξ lon \theta \lambda
\xi \rho \upsilon \psi
7 “ê(1)
Expression a − (b − c) a − (−b − c)
数学常用词汇中英对照
数学常用词汇中英文对照代数部分1.有关基本运算add. plus加subtract 减difference 差multiply.time s 乘product 积divide 除divisible可被整除的divide by被整除dividend被除数divisor因了除数quotient 商remainder 余数factorial 阶乗geometric mean几何平均数exponent指数.券base乘辑的底数.底边cube立方数、立方体square root平方根cube root立方根common logarithm常圧对数digit数字constant 常数variable 变量inversefunction 反函数complementary function余函数linear-次的，线性的factorization 因式分解absolute value绝对值，round off四舍五入power乘方radical sign.root sign根号round to四舍五入totlienearest 四舍五入6.有关数论natural number自然数positive number 正数negative number负数2.有关集合union并集proper subset宾了-集solution set解集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consecutive number连续整数realnumber.rational nunber实数,有理数irrational(number)无理数inverse 倒数composite number合数prime number质数reciprocal 倒数common divisor公约数multiple 倍数(least)common multiple(最小)公倍数(prime)factor(质)因了- common factor公因了・ordinary scale.decimal scale十进制4.有关分数和小数proper fraction真分数improper fraction®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numerate r 分了・denominator 分母(least)common denominator(最小)公分母quarter四分之_ decimal fraction纯小数infinite decimal无穷小数recurring decimal循环小数tenths，digit十分位nonnegative 非负的tens十位units个位mode 众数median中数common ratio公比7.数列arithmetic progressionisequence)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5.基本数学概念arithmetic mean算术平均值weighted average加权平均值ordinal中数direct proportion 正比distinct不同的estimation估计，近似line segment线段parentheses 括号parallel lines平行线proportion 比例segment of a circle弧形permutation 排列combination 组合5•有关立体图形table表格cube立方体、立方数trigonometric function三角函数rectangular solid长方体unit单位.位regular solid/regular pclyiiedron 正多面体几何部分circular cylinder圆柱体cone|31 锥1 .所有的角sphere球体alternate angle内错角solid立体的corresponding angle 同位角vertical angle对顶角6.有关图形上的附属物central angle圆心角altitude 高interior angle内角depth深度exterior angle 外角side边长supplementary angles补角circumference.perimeter 周长complementary angle余角radian弧度adjacent angle邻角surface area 表面积acute angle锐角volume体积obtuse angle钝角arm直角三角形的股right angle直角cross section横截面round angle 周角center of a circle圆心straight angle平角chord 弦included angle夹角radius半径2.所有的三角形angle bisector角平分线diagonal对角线equilateral triangle等边三角形diameter 直径scalene triangle不等边三角形edge 梭isosceles triangle等腰三角形face of a solid立体的面right triangle直角三角形hypotenuse 斜边oblique斜三角形included side 夹边inscribed triangle内接三角形leg三角形的直角边3.有关收敛的平面图形.除三角形外median of a triangle三角形的中线base底边，底数semicircle 半圆opposite直角三角形中的对边concentric circles同心圆midpoint 中点quadrilateral 四边形endpoint 端点pentagon五边形vertex（复数形式vertices）顶点hexagon六边形tangent切线的heptagon t边形transversal 截线octagon八边形intercept 截距nonagon九边形decagon十边形7•有关坐标polygon多边形coordinate system坐标系parallelogram平行四边形rectangular coordinate直角坐标系equilateral 等边形origin原点plane平面abscissa横坐标square iE方形.平方ordinate纵坐标rectangle长方形number line数轴regular polygon正多边形quadrant 象限rhombus 菱形slope斜率trapezoid 梯形complex plane复平面4其它平面图形8.其它arc弧plane geometry平面几何line.straight line 直线trigonometry 三角学bisect平分非负整数集the set of all non-negat^e integers circumscribe 外切自然数集the set of all natural numbers inscribe 内切正整数集the set of all positive integers intersect相交整数集the set of all integersperpendicular 垂直有理数集the set of all rational numbers pytiiagorean theorem 勾股定理实数集the set of all real numberscongruent全等的元素elementmultilateral 多边的属于belong to1.单位类不属于not belong to 有限集finite setcent美分九限集infinite setpenny一美分硬币空集empty setnickels美分硬币包含inclusion, includedime一角硬币包含于lie indozen打（12个）了集subsetscore 廿（20 个）且了•集proper subsetCentigrade 摄氏补集（余集）complementary setFahrenheit 华氏全集universequart夸脱交集 intersectiongallon 加仑（1gallon=4quart）并集unionyard 码偶数集the set of all even numbersmeter 米奇数集the set of all odd numbersmicron微米含绝对值的不等式inch英寸inequality with absolute valuefoot英尺一元二次不等式minute分（角度的度量单位，60分=1度）one-variable quadratic inequalitysquare measure平方单位制逻辑logiccubic meter立方米逻辑联结词logic connectivepint品脱（干量或液量的单位）或or2.有关文字叙述题、主要是有关商业旦and 非notintercalary year（leap year）闰年（366天）真truecommon year平年（365天）假falsedepreciation 折旧真偵表truth tabledown payment直接付款原命題original propositiondiscount 打折逆命題converse propositionmargin利润否命題negative propositionprofit利涧逆否命題converse-negative propositioninterest 利息充分条件sufficient conditionsimple interest单利必要条件necessary conditioncompounded interest复利充要条件sufficient and necessary condition dividend 红利……的充要条件是……decrease to减少到... if and only if ...decrease by减少了increase to増加到函数increase by增加了函数functiondenote表示自变量argumentlist price标价定义域domainmarkup涨价偵域rangeper capit□每人区间intervalratio比率闭区间closed intervalretail price零侔价开区间open intervaltie打平函数的图象graph of function集合与简易逻辑映射mapping 象image 原象inverse image集合（集）set 单调monotone增函数increasing function减函数decreasing function 単调区间monotone interxal 反函数inverse function 指数exponent 根式radical 根指数radical exponent 被开方数radicand 指数函数exponential function 对数logarithm 常用对数common logarithm Q 然对数natural logarithm 对数函数logarithmic function 数列数歹ijsequence of number 项term 通项公式the formula of general term 有穷数列finite sequence of number 无穷数歹ijinfinite sequence of number 递推公式recurrence formula 等差数列arithmetic progression . arithmetic series 公差common difference 等差中项arithmetic mean 等比数列geometric series/progression 公比common ratio 等比中项geometric mean三角函数三角函数trigonometric function 始边initial side 终边terminal side 正角positive angle 负角negative angle 零角zero angle 象限角quadrant angle 弧度radian 弧度制radian measure 角度制degree measure 正弦sine 余弦cosine 正切tangent 余切cotangent 正割secant 余割c osecant 诱导公式induction formula 正弦曲线sine curve 余弦曲线cosine curve 最大fftmaximum 最小fftminimum 周期period 最小正周期minimal positive period 周期函数periodic function 抚］幅amplitude of vibration 频率frequency 相位phase 初相initial phase 反正弦arc sine 反余弦arc cosine 反正切arc tangent 平面向量有向线段directed line segment 数量scalar quantity 向量vector 零向量zero vector 相等向量equal vector 共线向量collinear vectors 平行向量parallel vectors 向量的数乘multiplication of vector by scalar 单位向量unit vector 基底base基向量base vectors 平移translation 数量积inner product 正弦定理sine theorem 余弦定理cosine theorem不等式算术平均数arithmetic rrean 几何平均数geometric mean 比较法method of compare 综合法method of synthesis 分析法method of analysis直线倾斜角angle of inclination 斜率gradient 点斜式point slope form 截距intercept 斜截式gradient interceot form 两点式tu'o-point form 一般式general form 夹角included angle 线性规划linear prograrrming 约束条件constraint condition 冃标函数objective function 可行infeasible region 最优解optimal solution 圆锥曲线曲线curve 坐标法method of coordinate 解析几何analytic geometry 笛卡儿Descartes 标准方程standard equation一股方程general equation 参数方程parameter equation 参数parameter 13锥曲线point conic 椭圆ellipse 焦点focus, focal pointscube root立方根/,审关迅肃common logarithm常圧对数add. plus加digit数字subtract 减constant 常数difference 差variable 变量multiply, times乘inverse function反函数product 积complementary function余函数divide 除linear-次的，线性的divisible可被整除的factorization 因式分解divided evenly被整除absolute value绝对值.e.g.|-32|=32dividend被除数round off四舍五人divisor因子、除数6名关以论quotient 商natural number fl 然数remainder 余数positive number 正数factorial 阶乗negative number负数power乘方odd integer, odd number奇数radical sign, root sign根号even integer, even number偶数round to四舍五入integer, whole number整数to the nearest四舍五入positive whole number正整数2彳关県金negative whole number负整数union并集consecutive number连续整数proper subset宾了-集real number, rational number实数,有理数solution set解集irrational(number)无理数3.4关代微R，方奴和系*武inverse 倒数algebraic term代数项composite number合数e.g.4,6.S t9.10t12.14.15 like terms, similar terms同类项prime number质数e.g.2,3.5,7,11,13.15 ...... numerical coefficient数字系数reciprocal 倒数literal coefficient字母系数common divisor公约数inequality 不等式multiple 倍数triangle inequality三角不等式(least)common multiple(最小)公倍数range值域(prime)factor(质)因子original equation原方程common factor公因了・equivalent equation 同解方程ordinary scale, decimal scale十进制等价方程nonnegative 非负的linear equation线性方程(e.g.5?x?+6=22) tens十位4 a关令微衣日,教units个位proper fraction真分数mode众数improper fraction假分数median中数mixed number带分数common ratio公比vulgar fraction. common fraction 普通分数7.數列simple fraction简分数arithmetic progressionisequence)等差数列complex fraction繁分数geometric progression(sequence)等比数列numerato r 分了・球空denominator 分母approximate 近似(least)common denominator(最小)公分母(anti)clockwise(逆)顺时针方向quarter四分之_ cardinal 基数decimal fraction纯小数ordinal 序数infinite decimal无穷小数direct proportion lEkErecurring decimal循环小数distinct不同的tenths unit十分位estimation估计.近似parentheses 括号arithmetic mean算术平均值proportion 比例weighted average加权平均值permutation 排列geometric mean几何平均数combination 组合exponent指数、蒂table表格base乘雑的底数，底边trigonometric function三角函数cube立方数.立方体unit单位.位square root平方根几倒都含7.所】的有alternate angle内错角corresponding angle同位角vertical angle对顶角centralangle|3|心角interior angle内角exterior angle 外角supplement angles补角complement 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所彳的三角怡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内接三角形彳关就孜的単血田布，险三南彬外semicircle 半圆concentric circles同心圆quadrilateral 四边形pentagon五边形hexagon六边形heptagon t 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 polygoniE多边形rhombus 菱形trapezoid 梯形4.戻它4•面曲弔arc弧line, straight line直线line segment线段parallel lines平行线segment of a circle引R形s.a关或作曲弔cube立方体.立方数rectangular solid长方体regular solid'regular polyhedron 正多面体circular cylinder^柱体cone |S）锥sphere球体solid立体的6名关曲衫上的附属於altitude 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 bisectorffj平分线diagonal对角线diameter 直径edge 梭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. %关殳称coordinate system坐标系rectangular coordinate it 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复平面球它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 tlieorem 勾股定理congruent全等的multilateral 多边的焦距focal length major/minor axis长 / 短轴eccentricity 离心率hyperbola双曲线real axis实轴imaginary axis虚轴asymptote渐近线parabola^ 物线directrix 准线。
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数学公式的英文表达Pronunciation 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. Logic9 there exists8 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 2 A x belongs to A / x is an element (or a member) of Ax =2 A x does not belong to A / x is not an element (or a member) of AA ½B A is contained in B / A is a subset of BA æB 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 nB A minus B / the diÆerence 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 ß 1 x plus or minus onexy xy / x multiplied by y(x ° y)(x + y) x minus y, x plus yxyx over y= the equals signx = 5 x equals 5 / x is equal to 5x 6= 5 x (is) not equal to 51x ¥ y x is equivalent to (or identical with) yx 6¥ 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 1jxj mod x / modulus xx2 x squared / x (raised) to the power 2x3 x cubedx4 x to the fourth / x to the power fourxn x to the nth / x to the power nx°n x to the (power) minus npx (square) root x / the square root of x3 px cube root (of) x4 px fourth root (of) xnpx nth root (of) x(x + y)2 x plus y all squared³xy ¥2x over y all squaredn! n factorial^x x hat¹x x bar~x x tildexi xi / x subscript i / x su±x i / x sub in Xi=1ai the sum from i equals one to n ai / the sum as i runs from 1 to n of the ai 4. Linear algebrakxk the norm (or modulus) of x°°! OA OA / vector OAOA OA / the length of the segment OAAT A transpose / the transpose of AA°1 A inverse / the inverse of A25. Functionsf(x) fx / f of x / the function f of xf : S ! T a function f from S to Tx 7! y x maps to y / x is sent (or mapped) to yf0(x) f prime x / f dash x / the (Ørst) derivative of f with respect to xf00(x) f double{prime x / f double{dash x / the second derivative of f with respect to xf000(x) f 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@x1the partial (derivative) of f with respect to x1@2f@x21the second partial (derivative) of f with respect to x1Z 1the integral from zero to inØnitylimx!0the limit as x approaches zerolimx!+0the limit as x approaches zero from abovelimx!°0the limit as x approaches zero from belowloge 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 expressionsand 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), fx, FX, FX, °°! FX . The diÆerence 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 FX, the length of the segment FX, vector FX.Similarly, a mathematician is unlikely to make any distinction in speech (except sometimes a diÆerence in intonation or length of pauses) between pairs such as the following:x + (y + z) and (x + y) + zpax + b and pax + ban ° 1 and an°1The primary reference has been David Hall with Tim Bowyer, Nucleus, English for Science and Technology, Mathematics, Longman 1980. Glen Anderson and Matti Vuorinen have given good comments and supplements.。