数学公式英语表达
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。
数学公式的英语口语读法
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 equivalent2.Setsx∈A x belongs to A / x is an element (or a member) of A x∉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 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 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 xx2 x squared / x (raised) to the power 2x3 x cubedx4 x to the fourth / x to the power 4x n x to the nth / x to the power nx (−n) x to the (power) minus nx的平方根(square) root x / the square root of xx的三次根cube root (of) xx的四次根fourth root (of) xx的n次根nth root (of) x(x+y)2 x plus 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/∂x1 the partial (derivative) of f with respect to x1∂2f/∂x12 the second partial (derivative) of f with respect to x1∫0∞ the integral from zero to infinitylim x→0the 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。
史上最全数学符号、公式的英文读法,干货满满
史上最全数学符号、公式的英文读法，干货满满说起英语和数学，大概每个人都有难忘的回忆。
可是学了十几、二十年的英语和数学，你会用英语来表达数学吗？烂熟于心的数学符号和表达式用英语会说吗？想不想挑战一下自己？先来一个最简单的：1+2=3 用英语怎么说？One plus two equals three. 哎呦不错哦，继续！尝试：½ (x + y)英语怎么说？这个呢？这个呢？就知道你说不出来咯～今天这篇文章，将从小学到博士后的数学符号和表达式的英文读法一网打尽，全都总结好了！惊不惊喜？意不意外？！这篇文章囊括了从小学数学到高等数学，涉及到的主要符号和表达式的英文读法，查阅了很多资料，确保英文100%准确，请放心使用。
数学是所有理工学科的基础，是认识科学世界基本工具，数学的重要性不言而喻。
所以，这篇文章是老少咸宜的、吐血总结的干货。
可以帮助：中小学生：了解英语不仅是“I am a student.My name is XXX.”,而是真正用于学习数学、学习知识的工具。
大学生:在外教的课堂上，在国际会议上，在外企里，面对常见的数学符号，简单的数学问题时，不可能在茶壶里煮饺子。
留学党:缩短刚到国外理解老师课堂讲课的过渡期。
学生家长可以为你家宝宝留着哦～基本数学符号1. 加减乘除"+"当作运算符加号时读作plus，比如：1+2 ➡️ one plus two当"+"放在数字前表示正数时，读作positive，比如：+4 ➡️ positive four同样，“-”也有minus和negative两种读法，分别是减号和负数。
"×" 两种读法都可以，国外的教授会常常读成times，可能因为比较简单吧，比如：9x6 ➡️ nine times six“÷”只有一种读法divided by，就是被…分成几份15÷3 ➡️ fifteen is divided by three注意：其中plus和minus是不用第三人称单数形式的，因为plus和minus根本就不是动词，而是介词。
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。
数字公式的英文表达
●
n
lim
1 n2
(1 2 n)
读作：The limit as n approaches infinity of the quantity one over n squared times the sum of n positive integers.或The limit as n approaches infinity of the quantity one over n squared times one plus two plus up to plus n. 2 2 2 ● 15x [4 x 6( x x ) 3 x] 读作：Fifteen times x squared minus open bracket minus four times x squared plus six open parenthesis x minus x squared close parenthesis minus three times x close bracket. ● 读 作 ： One-half open brace, a open bracket b plus open parenthesis c minus d close parenthesis close bracket close brace. ● (a＋b)(a－b) ＝ a2－b2 读作：The product of the sum and difference of two terms a and b equals the difference of their squares.
3 ● 0.247 读作： zero point two four, seven three recurring/zero point two four, seven three repetend seven three 1 1 5 105 ● 0.00001 100000 10 读作：Zero point four zeros one equals one over one hundred thousand equals one over ten to the fifth power equals ten to the minus fifth power
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。
加减乘除的英文表达法
加减乘除的英文表达法加减乘除是数学中最基本的四则运算，是我们在日常生活中经常用到的概念和操作。
在英语中，这四种运算也有对应的表达法。
在本文中，我们将详细介绍加减乘除的英文表达法，并给出一些示例，帮助大家更好地掌握这些数学术语。
一、加法（Addition）加法是指将两个或多个数合并在一起，得到它们的总和。
在英语中，加法可以用以下几种方式来表达：1. 常用表达方式：- plus- add- sum例如：- 2 plus 2 equals 4.（2加2等于4。
）- Add 5 to 3 and you get 8.（5加3得8。
）- The sum of 10 and 7 is 17.（10和7的和是17。
）2. 可替代表达方式：- in addition to- with- In addition to 3, I also have 4 apples.（除了3以外，我还有4个苹果。
）- I have 10 books, with 5 of them being novels.（我有10本书，其中5本是小说。
）二、减法（Subtraction）减法是指从一个数中减去另一个数，得到它们的差。
在英语中，减法可以用以下几种方式来表达：1. 常用表达方式：- minus- subtract- difference例如：- 6 minus 3 equals 3.（6减3等于3。
）- Subtract 4 from 10 and you get 6.（10减去4得6。
）- The difference between 8 and 5 is 3.（8和5的差是3。
）2. 可替代表达方式：- take away- deduct- Take away 2 from 7 and you have 5 left.（从7中减去2，你还剩下5。
）- You can deduct 20% from the original price.（你可以从原价中扣除20%。
常见数学公式和符号的英文读法大全
5 Ε ε epsilon ep`silon 伊普西龙 对数之基数
6 Ζ ζ zeta zat 截塔 系数；方位角;阻抗；相对粘度；原子序数
7 Η η eta eit 艾塔 磁滞系数；效率（小写)
8 Θ θ thet θit 西塔 温度；相位角
○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
‖ parallel 双线号
～ swung dash 代字号
§ section； division 分节号
→ arrow 箭号；参见号
更全面：
1 Α α alpha a：lf 阿尔法 角度；系数
2 Β β beta bet 贝塔 磁通系数；角度；系数
3 Γ γ gamma ga:m 伽马 电导系数（小写）
！ 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
常见数学公式和符号的英文读法大全
+ plus 加号；正号
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。
英语数学公式、数字、符号的表达法
英语数学公式、数字、符号的表达法!轩治峰（商丘师范学院外语系商丘市!"#$$$）摘要本文主要解决理科专业英语和双语教学中英语算式、方程式、公式中的数字、符号、等式及公式的表达方法。
方法为查阅各种有关资料，收集其表达和读法。
通过查阅资料，本文记述了算术四则运算、分数、小数、比例、乘方、开方、对数、三角函数、集合、函数、几何、微积分等的符号、数字和公式的表达方法和读法，为科技英语教学和学习提供参考。
关键词数学符号算式公式表达法!"#$%&’$%&’()*(+,’+-.&/,(0(’*/,.+-/12+)..&’’3(*’,,/+1,+-.&’,456+7,，,/81,，0121)56’*,+-50.&’50./9,/1:187/,&.’09&/18;%&’0).&+*&0,8+1’.&*+)8&.&’<0*/+),=/12,+-.’3.6++=,+150.&’> 50./9,，,)9&0,0*/.&5’./9，8’+5’.*4，078’6*0，9079)7),，-)19./+1,012+.&’**’-’*’19’6++=,0129+77’9.’2 077.4(’,+-’3(*’,,/+1,，0,?’770,(*+1)19/0./+1,，+-,456+7,，,/81,0121)56’*,/1.&’’@)0./+1,+-50.&>’50./9,012+.&’*,9/’19’,，/1&+(’+-+--’*/18,+5’&’7(.+7’0*1/18012.’09&/18:187/,&/150.&’50./9,+* ,9/’1./-/9:187/,&;()*+,%-#50.&’50./9,,456+7,012,/81,’@)0./+1,-+*5)70’3(*’,,/+1,在大学中，越来越多的学科在尝试英汉双语教学，高年级大学英语也朝专业英语方向发展，而且，在理科学科中，数学、物理等课程中的算式、方程式以及公式是最基本的表达形式。
英语版数学公式Perimeter周长公式
英语版数学公式：Perimeter（周长）公式For a Rectangle:The perimeter (P) of a rectangle is calculated adding the lengths of all its sides. Since a rectangle has two pairs of equal sides, the formula is:P = 2 (length + width)Where "length" is the longer side of the rectangle, and "width" is the shorter side.For a Square:A square is a special type of rectangle where all sides are equal. The perimeter formula for a square is:P = 4 sideHere, "side" represents the length of one side of the square.For a Triangle:The perimeter of a triangle is the sum of the lengths of its three sides. The formula is:P = side1 + side2 + side3Replace "side1," "side2," and "side3" with the actual lengths of the triangle's sides.For a Circle:The perimeter of a circle is known as the circumference. The formula for the circumference (C) is:C = 2 π radiusIn this formula, "radius" is the distance from the center of the circle to any point on its edge, and π (pi) is a mathematical constant approximately equal to 3.14159.Understanding these perimeter formulas will help you calculate the boundaries of various geometric shapes accurately and efficiently.Expanding on our exploration of perimeter formulas, let's delve into a few more shapes and the nuances of calculating their perimeters.For a Parallelogram:The perimeter of a parallelogram, which has opposite sides of equal length, can be found adding the lengths of any two adjacent sides and then multiplying two. The formula is:P = 2 (base + side)Here, "base" refers to one of the longer sides, and "side" is the adjacent side to the base.For a Trapezoid:A trapezoid, with its one pair of parallel sides, requires a slightly different approach. The perimeter is the sum of the lengths of all four sides:P = side1 + side2 + base1 + base2In this formula, "side1" and "side2" are the nonparallel sides, while "base1" and "base2" are the parallel sides.For a Regular Polygon:Regular polygons, such as equilateral triangles or regular hexagons, have equal side lengths and angles. For a regular polygon with 'n' sides, each of length 's', the perimeter (P) is:P = n sThis formula is straightforward, multiplying the number of sides the length of each side.For an Irregular Polygon:Irregular polygons, which do not have equal sides or angles, do not have a specific formula. Instead, youcalculate the perimeter simply adding up the lengths of all the sides:P = side1 + side2 + side3 + + sideNWhere 'sideN' represents the length of each individual side in the polygon.It's important to note that while these formulas provide a structured approach to calculating perimeters, they rely on having the necessary measurements. In practical applications, you might use a ruler for straight edges or a measuring tape for curved ones, or even more advanced tools like calipersfor precision.Remember, the beauty of mathematics lies not just in the formulas, but in the application of these formulas to solve realworld problems. Whether you're determining the amount of fencing needed for a garden, the length of a race track, or the circumference of a planet, these perimeter formulas are the tools that help you find the answers.Venturing further into the realm of geometric perimeters, let's consider some additional shapes and the intricacies involved in measuring their boundaries.For a Rhombus:The rhombus, a quadrilateral with all sides of equal length, has a perimeter formula similar to that of a square. To find the perimeter (P) of a rhombus, you multiply the length of one side four:P = 4 sideHere, "side" is the length of any one of the four equal sides of the rhombus.For a Kite:A kite, another quadrilateral, has two pairs of adjacent sides that are equal in length. The perimeter (P) is calculated adding the lengths of all four sides:P = side1 + side2 + side1 + side2Since there are two pairs of equal sides, you can express it as:P = 2 (side1 + side2)For an Ellipse:P ≈ π [3 (a + b) √((3a + b) (a + 3b))]Here, 'a' is the semimajor axis, and 'b' is the semiminor axis of the ellipse. This formula provides a close estimate, which is often sufficient for practical purposes.For a Sector of a Circle:Sometimes, you might need to find the perimeter of just a part of a circle, known as a sector. The perimeter (P) of a sector includes the arc length and the two radii. The formula is:P = (θ/360) 2 π radius + 2 radiusWhere 'θ' is the central angle of the sector in degrees, and 'radius' is the radius of the circle.For a Segment of a Circle:A segment is the area of a circle that is bounded achord and an arc. The perimeter of a segment includes the arc length and the chord length. The formula for the perimeter (P) is:P = arc length + chord lengthThe arc length can be calculated as (θ/360) 2 π radius, where 'θ' is the central angle subtend ed the arc at the center of the circle, and 'radius' is the radius of the circle.。
英语版数学公式Perimeter周长公式
英语版数学公式P e r i m e t e r周长公式(总14页)--本页仅作为文档封面，使用时请直接删除即可----内页可以根据需求调整合适字体及大小--PerimeterPerimeter is the distance around a two-dimensional shape. Example: the perimeter of this rectangle is 7+3+7+3 = 20Example: the perimeter of thisregular pentagon is 3+3+3+3+3 = 5×3 = 15The perimeter of a circle is called the circumference: Circumference = 2π× radiusPerimeter FormulasTrianglePerimeter = a + b + cSquarePerimeter = 4 × aa = length of sideRectanglePerimeter = 2 × (w + h)w =widthh = heightQuadrilateralPerimeter = a + b + c + dCircleCircumference = 2πrr = radiusSectorPerimeter = r(θ+2)r = radiusθ =angle in radiansPerimeter of an EllipseOn the Ellipse page we looked at the definition and some of the simpleproperties of the ellipse, but here we look at how to more accuratelycalculate its perimeter.PerimeterRather strangely, the perimeter of an ellipse is very difficult to calculate! There are many formulas, here are some interesting ones. (Alsosee Calculation Tool below.)First Measure Your Ellipse!a andb are measured from the center, so they are like "radius" measures. Approximation 1This approximation is within about 5% of the true value, so long as a is not more than 3 times longer than b(in other words, the ellipse is not too "squashed"):Approximation 2The famous Indian mathematician Ramanujan came up with this better approximation:Approximation 3Ramanujan also came up with this one. First we calculate "h":Then use it here:Infinite Series 1This is an exact formula, but it needs an "infinite series" of calculations to be exact, so in practice we still only get an approximation.First we calculate e(the "eccentricity", not Euler's number "e"):Then use this "infinite sum" formula:Which may look complicated, but expands like this:The terms continue on infinitely, and unfortunately we must calculate a lot of terms to get a reasonably close answer.Infinite Series 2But my favorite exact formula(because it gives a very close answer after only a few terms) is as follows:First we calculate "h":Then use this "infinite sum" formula:(Note: the is the Binomial Coefficient with half-integer factorials... wow!)It may look a bit scary, but it expands to this series of calculations:The more terms we calculate, the more accurate it becomes (the next term is25h4/16384, which is getting quite small, and the next is 49h5/65536, then441h6/1048576)ComparingJust for fun, I calculate the perimeter using the three approximation formulas, and the two exact formulas (but only the first four terms including the "1", so it is still just an approximation) for the following values of a and b:Circle Linesa:1010101010b:105310 Approx 1:Approx 2:Approx 3:Series 1:Series 2:Exact*:20π40* Exact:When a=b, the ellipse is a circle, and the perimeter is 2πa... in our example).When b=0(the shape is really two lines back and forth) the perimeter is 4a(40 in our example).They all get the perimeter of the circle correct, but only Approx 2 and3and Series 2get close to the value of 40 for the extreme case of b=0.Ellipse Perimeter Calculations ToolThis tool does the calculations from above, but with more terms for the Series.周长周长是围绕一个二维形状的距离。
数学公式的英文读法
数学公式的英文读法&数学英文词汇已有1985 次阅读2008-9-28 14:10 |个人分类:数学天地|关键词:数学公式的英文读法&数学英文词汇1.Logic\exists there exist\forall 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≠5x (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≤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 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 i 4. 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 xf 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 x_1∫_0^∞the integral from zero to infinity\underset{x\to 0}\lim the limit as x approaches zero\underset{x\to 0+}\lim the limit as x approaches zero from above\underset{x\to 0-}\lim 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一般词汇数学mathematics, maths(BrE), math(AmE)公理axiom定理theorem计算calculation运算operation证明prove假设hypothesis, hypotheses(pl.)命题proposition算术arithmetic加plus(prep.), add(v.), addition(n.)被加数augend, summand加数addend和sum减minus(prep.), subtract(v.), subtraction(n.) 被减数minuend减数subtrahend差remainder乘times(prep.), multiply(v.), multiplication(n.) 被乘数multiplicand, faciend乘数multiplicator积product除divided by(prep.), divide(v.), division(n.) 被除数dividend除数divisor商quotient等于equals, is equal to, is equivalent to大于is greater than小于is lesser than大于等于is equal or greater than小于等于is equal or lesser than运算符operator数字digit数number自然数natural number整数integer小数decimal小数点decimal point分数fraction分子numerator分母denominator比ratio正positive负negative零null, zero, nought, nil十进制decimal system二进制binary system十六进制hexadecimal system权weight, significance进位carry截尾truncation四舍五入round下舍入round down上舍入round up有效数字significant digit无效数字insignificant digit代数algebra公式formula, formulae(pl.)单项式monomial多项式polynomial, multinomial系数coefficient未知数unknown, x-factor, y-factor, z-factor 等式，方程式equation一次方程simple equation二次方程quadratic equation三次方程cubic equation四次方程quartic equation不等式inequation阶乘factorial对数logarithm指数，幂exponent乘方power二次方，平方square三次方，立方cube四次方the power of four, the fourth power n次方the power of n, the nth power开方evolution, extraction二次方根，平方根square root三次方根，立方根cube root四次方根the root of four, the fourth rootn次方根the root of n, the nth root集合aggregate元素element空集void子集subset交集intersection并集union补集complement映射mapping函数function定义域domain, field of definition值域range常量constant变量variable单调性monotonicity奇偶性parity周期性periodicity图象image数列，级数series微积分calculus微分differential导数derivative极限limit无穷大infinite(a.) infinity(n.) 无穷小infinitesimal积分integral定积分definite integral不定积分indefinite integral有理数rational number无理数irrational number实数real number虚数imaginary number复数complex number矩阵matrix行列式determinant几何geometry点point线line面plane体solid线段segment射线radial平行parallel相交intersect角angle角度degree弧度radian锐角acute angle直角right angle钝角obtuse angle平角straight angle周角perigon底base边side高height三角形triangle锐角三角形acute triangle直角三角形right triangle直角边leg斜边hypotenuse勾股定理Pythagorean theorem 钝角三角形obtuse triangle不等边三角形scalene triangle等腰三角形isosceles triangle等边三角形equilateral triangle四边形quadrilateral平行四边形parallelogram矩形rectangle长length宽width菱形rhomb, rhombus, rhombi(pl.), diamond 正方形square梯形trapezoid直角梯形right trapezoid等腰梯形isosceles trapezoid五边形pentagon六边形hexagon七边形heptagon八边形octagon九边形enneagon十边形decagon十一边形hendecagon十二边形dodecagon多边形polygon正多边形equilateral polygon圆circle圆心centre(BrE), center(AmE)半径radius直径diameter圆周率pi弧arc半圆semicircle扇形sector环ring椭圆ellipse圆周circumference周长perimeter面积area轨迹locus, loca(pl.)相似similar全等congruent四面体tetrahedron五面体pentahedron六面体hexahedron平行六面体parallelepiped立方体cube七面体heptahedron八面体octahedron九面体enneahedron十面体decahedron十一面体hendecahedron 十二面体dodecahedron二十面体icosahedron多面体polyhedron棱锥pyramid棱柱prism棱台frustum of a prism旋转rotation轴axis圆锥cone圆柱cylinder圆台frustum of a cone球sphere半球hemisphere底面undersurface表面积surface area体积volume空间space坐标系coordinates坐标轴x-axis, y-axis, z-axis 横坐标x-coordinate纵坐标y-coordinate原点origin双曲线hyperbola抛物线parabola三角trigonometry正弦sine余弦cosine正切tangent余切cotangent正割secant余割cosecant反正弦arc sine反余弦arc cosine反正切arc tangent反余切arc cotangent反正割arc secant反余割arc cosecant相位phase周期period振幅amplitude内心incentre(BrE), incenter(AmE)外心excentre(BrE), excenter(AmE)旁心escentre(BrE), escenter(AmE)垂心orthocentre(BrE), orthocenter(AmE)重心barycentre(BrE), barycenter(AmE)内切圆inscribed circle外切圆circumcircle统计statistics平均数average加权平均数weighted average方差variance标准差root-mean-square deviation, standard deviation比例propotion百分比percent百分点percentage百分位数percentile排列permutation组合combination概率，或然率probability分布distribution正态分布normal distribution非正态分布abnormal distribution图表graph条形统计图bar graph柱形统计图histogram折线统计图broken line graph曲线统计图curve diagram扇形统计图pie diagram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common ratio公比7. 数列arithmetic progression(sequence)等差数列geometric progression(sequence)等比数列8. 其它approximate近似(anti)clockwise(逆)顺时针方向cardinal基数ordinal序数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打平数学学科名称翻译数学分析Mathematical Analysis实变函数Functions of Real Variable泛函分析Functional Analysis极限分析Limit Analysis复变函数Complex Variables Functions线性代数Linear Algebra高等代数Advanced Algebra近世代数Modern Algebra抽象代数Abstract Algebra集合论与代数结构Set Theory & Algebraical Structure常微分方程Ordinary Differentical Equations偏微分方程Partial Differential Equation偏微分方程数值解Numerical Solution of Partial Differential Equation微分方程Differential Equation微分方程数值解Numerical solution of partial defferential equatio数理方程Mathematical Equations数理方程积分变换Integral Transmission of Mathematical Equation数理方程与特殊函数Equations of Mathmatical Physics & Special Functions 变分法与张量Calculus of Variations & Tensor变分学Calculus of Variations概率论Probability Theory概率与统计Probability & Statistics概率论与数理统计Probability Theory & Mathematical Statistics概率论与随机过程Probability Theory & Stochastic Process随机过程Stochastic Process & Time Series Analysis时间序列Time Sequence统计学Statistics多元统计分析Multi-Variate Statistical Analysis解析几何Analytic Geometry微分几何Defferential Geometry拓朴学Topology计算方法Computational Method数值分析Numerical Analysis数值计算Digital Computation计算力学Computational Mechanics计算力学基础Basis of Computational Mechanics计算流体Fluid Computation有限元法及应用Finite Element & its Application并行算法Parallel Algorithmic运筹学Operational Research最优化Optimum Theory最优化方法Optimal Method最优化基础Basis of Optimum数学规划Mathematical Planning线性规划Linear Programming非线性规划Non-Linear Programming动态规划Dynamic Programming数学模型Mathematical Modening多目标优化方法Multipurpose Optimal Method图论Graph Theory图论算法Algorithm on Graph Theory图论与组合Graphing & Grouping图论与组合优化Graphing & Optimal Grouping 随机运筹学Randomized Operational Research控制理论Theory of Control控制理论基础Elementary Theory of Control线性系统与分析Linear System & Analysis系统建模与响应System Modeling & Response 人工智能Artificial Intelligence最优控制Optimal Control信息论Informatics信息论与编码Informatics & Coding数理逻辑Mathematical Logic离散数学Discrete Mathematics模糊数学Fuzzy MathematicsC语言C LanguageC++程序设计C++ Program Designing。
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。
数学基本公式英文版
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)
英文大写公式
英文大写公式
在英文中，大写字母通常用于表示公式或语句的开始，强调重要性，或者在特定情境下表示特定的意义。
以下是一些常见的英文大写公式示例：
1. E = mc^2 (能量等于质量乘以光速的平方)
2. F = ma (力等于质量乘以加速度)
3. I = P/V (电流等于功率除以电压)
4. R = ρl/A (电阻等于电阻率乘以长度除以面积)
5. Q = mΔT (热量等于质量乘以温度变化)
6. ΔG = ΔH - TΔS (吉布斯自由能变化等于焓变减去温度乘以熵变)
7. pV = nRT (理想气体状态方程)
请注意，这些公式中的大写字母表示该变量是一个物理量，而非其他含义。
此外，具体使用大写字母表示公式中的变量可能会因不同的作者或出版物而有所不同。
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这些你都知道吗？以后给老外作报告的时候可千万别再“The equation is like this…”, “The value is like this…”
有些公式不好写，能看出来什么意思就行了。
1.Logic
∃there exist
∀for all
p⇒q p implies q / if p, then q
p⇔q p if and only if q /p is equivalent to q / p and q are equivalent
2.Sets
x∈A x belongs to A / x is an element (or a member) of A
x∉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 B
A⊃B A contains B / B is a subset of A
A∩B A cap B / A meet B / A intersection B
A∪B A cup B / A join B / A union B
A\B A minus B / the diference between A and B
A×B A cross B / the cartesian product of A and B
3. Real numbers
x+1 x plus one
x-1 x minus one
x±1 x plus or minus one
xy xy / x multiplied by y
(x-y)(x+y) x minus y, x plus y
= the equals sign
x=5 x equals 5 / x is equal to 5
x≠5 x (is) not equal to 5
x≡y x is equivalent to (or identical with) y
x>y x is greater than y
x≥y x is greater than or equal to y
x<y x is less than y
x≤y x is less than or equal to y
0<x<1 zero is less than x is less than 1
0≤x≤1 zero is less than or equal to x is less than or equal to 1
|x| mod x / modulus x
x2x squared / x (raised) to the power 2
x3x cubed
x4 x to the fourth / x to the power 4
xn x to the nth / x to the power n
x (−n)x to the (power) minus n
x的平方根(square) root x / the square root of x
x的三次根cube root (of) x
x的四次根fourth root (of) x
x的n次根nth root (of) x
(x+y)2 x plus y all squared
n! n factorial
x^x hat
x¯ x bar
x˜ x tilde
xi xi / x subscript i / x suffix i / x sub i
∑(i=1~n) ai the sum from i equals one to n ai / the sum as i runs from 1 to n of the ai 4. Linear algebra
‖x‖the norm (or modulus) of x
OA→OA / vector OA
OA¯ OA / the length of the segment OA
AT A transpose / the transpose of A
A−1 A inverse / the inverse of A
5. Functions
f(x) fx / f of x / the function f of x
f:S→T a function f from S to T
x→y x maps to y / x is sent (or mapped) to y
f’(x) f prime x / f dash x / the (first) derivative of f with respect to x
f”(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 x
f (4) (x) f four x / the fourth derivative of f with respect to x
∂f/∂x1 the partial (derivative) of f with respect to x1
∂2f/∂x12 the second partial (derivative) of f with respect to x1
∫0∞ the integral from zero to infinity
limx→0the limit as x approaches zero
limx→0+the limit as x approaches zero from above
limx→0−the limit as x approaches zero from below
logey log y to the base e / log to the base e of y / natural log (of) y
lny log y to the base e / log to the base e of y / natural log (of) y。