常用数学符号的英文表达

常用数学符号的英文表达
常用数学符号的英文表达

常用数学符号的英文表达English Expression of the Mathematical Symbol in Common Use

第一部分英汉微积分词汇

Part1 English-Chinese Calculus V ocabulary

第一章函数与极限

Chapter1 Function and Limit

集合set

元素element

子集subset

空集empty set

并集union

交集intersection

差集difference of set

基本集basic set

补集complement set

直积direct product

笛卡儿积Cartesian product

开区间open interval

闭区间closed interval

半开区间half open interval

有限区间finite interval

区间的长度length of an interval

无限区间infinite interval

领域neighborhood

领域的中心centre of a neighborhood

领域的半径radius of a neighborhood

左领域left neighborhood

右领域right neighborhood

映射mapping

X到Y的映射mapping of X ontoY

满射surjection

单射injection

一一映射one-to-one mapping

双射bijection

算子operator

变化transformation

函数function 逆映射inverse mapping

复合映射composite mapping

自变量independent variable

因变量dependent variable

定义域domain

函数值value of function

函数关系function relation

值域range

自然定义域natural domain

单值函数single valued function

多值函数multiple valued function

单值分支one-valued branch

函数图形graph of a function

绝对值函数absolute value

符号函数sigh function

整数部分integral part

阶梯曲线step curve

当且仅当if and only if(iff)

分段函数piecewise function

上界upper bound

下界lower bound

有界boundedness

无界unbounded

函数的单调性monotonicity of a function 单调增加的increasing

单调减少的decreasing

单调函数monotone function

函数的奇偶性parity(odevity) of a function

对称symmetry

偶函数even function

奇函数odd function

函数的周期性periodicity of a function

周期period

反函数inverse function

直接函数direct function

复合函数composite function

中间变量intermediate variable

函数的运算operation of function

基本初等函数basic elementary function

初等函数elementary function

幂函数power function

指数函数exponential function

对数函数logarithmic function

三角函数 trigonometric function

反三角函数 inverse trigonometric function 常数函数 constant function 双曲函数 hyperbolic function 双曲正弦 hyperbolic sine 双曲余弦 hyperbolic cosine 双曲正切 hyperbolic tangent

反双曲正弦 inverse hyperbolic sine 反双曲余弦 inverse hyperbolic cosine 反双曲正切 inverse hyperbolic tangent 极限 limit

数列 sequence of number 收敛 convergence 收敛于 a converge to a 发散 divergent

极限的唯一性 uniqueness of limits

收敛数列的有界性 boundedness of a

convergent sequence

子列 subsequence

函数的极限 limits of functions

函数()f x 当x 趋于x 0时的极限 limit of functions ()f x as x approaches x 0 左极限 left limit 右极限 right limit

单侧极限 one-sided limits

水平渐近线 horizontal asymptote 无穷小 infinitesimal 无穷大 infinity

铅直渐近线 vertical asymptote 夹逼准则 squeeze rule

单调数列 monotonic sequence

高阶无穷小 infinitesimal of higher order 低阶无穷小 infinitesimal of lower order 同阶无穷小 infinitesimal of the same order 等阶无穷小 equivalent infinitesimal 函数的连续性 continuity of a function 增量 increment

函数()f x 在x 0连续 the function ()f x is continuous at x 0

左连续 left continuous 右连续 right continuous

区间上的连续函数 continuous function 函数()f x 在该区间上连续 function ()f x is continuous on an interval 不连续点 discontinuity point

第一类间断点 discontinuity point of the first kind

第二类间断点 discontinuity point of the second kind

初等函数的连续性 continuity of the elementary functions

定义区间 defined interval

最大值 global maximum value (absolute maximum)

最小值 global minimum value (absolute minimum)

零点定理 the zero point theorem 介值定理 intermediate value theorem

第二章 导数与微分

Chapter2 Derivative and Differential 速度 velocity

匀速运动 uniform motion 平均速度 average velocity

瞬时速度 instantaneous velocity 圆的切线 tangent line of a circle 切线 tangent line

切线的斜率 slope of the tangent line 位置函数 position function 导数 derivative 可导 derivable

函数的变化率问题 problem of the change rate of a function

导函数 derived function 左导数 left-hand derivative 右导数 right-hand derivative 单侧导数 one-sided derivatives

()f x 在闭区间【a,b 】上可导 ()f x is

derivable on the closed interval [a,b] 切线方程 tangent equation 角速度 angular velocity 成本函数 cost function 边际成本 marginal cost 链式法则 chain rule

隐函数implicit function

显函数explicit function

二阶函数second derivative

三阶导数third derivative

高阶导数nth derivative

莱布尼茨公式Leibniz formula

对数求导法log- derivative

参数方程parametric equation

相关变化率correlative change rata

微分differential

可微的differentiable

函数的微分differential of function

自变量的微分differential of independent variable

微商differential quotient

间接测量误差indirect measurement error 绝对误差absolute error

相对误差relative error

第三章微分中值定理与导数的应用Chapter3 MeanValue Theorem of Differentials and the Application of Derivatives

罗马定理Rolle’s theorem

费马引理Fermat’s lemma

拉格朗日中值定理Lagrange’s mean value theorem

驻点stationary point

稳定点stable point

临界点critical point

辅助函数auxiliary function

拉格朗日中值公式Lagrange’s mean value formula

柯西中值定理Cauchy’s mean value theorem

洛必达法则L’Hospital’s Rule

0/0型不定式indeterminate form of type 0/0

不定式indeterminate form

泰勒中值定理Taylor’s mean value theorem

泰勒公式Taylor formula

余项remainder term

拉格朗日余项Lagrange remainder term 麦克劳林公式Maclaurin’s formula

佩亚诺公式Peano remainder term 凹凸性concavity

凹向上的concave upward, cancave up

凹向下的,向上凸的concave downward’concave down

拐点inflection point

函数的极值extremum of function

极大值local(relative) maximum

最大值global(absolute) mximum

极小值local(relative) minimum

最小值global(absolute) minimum

目标函数objective function

曲率curvature

弧微分arc differential

平均曲率average curvature

曲率园circle of curvature

曲率中心center of curvature

曲率半径radius of curvature

渐屈线evolute

渐伸线involute

根的隔离isolation of root

隔离区间isolation interval

切线法tangent line method

第四章不定积分

Chapter4 Indefinite Integrals

原函数primitive function(antiderivative) 积分号sign of integration

被积函数integrand

积分变量integral variable

积分曲线integral curve

积分表table of integrals

换元积分法integration by substitution

分部积分法integration by parts

分部积分公式formula of integration by parts

有理函数rational function

真分式proper fraction

假分式improper fraction

第五章定积分

Chapter5 Definite Integrals

曲边梯形trapezoid with

曲边curve edge

窄矩形narrow rectangle

曲边梯形的面积area of trapezoid with curved edge

积分下限lower limit of integral

积分上限upper limit of integral

积分区间integral interval

分割partition

积分和integral sum

可积integrable

矩形法rectangle method

积分中值定理mean value theorem of integrals

函数在区间上的平均值average value of a function on an integvals

牛顿-莱布尼茨公式Newton-Leibniz formula

微积分基本公式fundamental formula of calculus

换元公式formula for integration by substitution

递推公式recurrence formula

反常积分improper integral

反常积分发散the improper integral is divergent

反常积分收敛the improper integral is convergent

无穷限的反常积分improper integral on an infinite interval

无界函数的反常积分improper integral of unbounded functions

绝对收敛absolutely convergent

第六章定积分的应用

Chapter6 Applications of the Definite Integrals

元素法the element method

面积元素element of area

平面图形的面积area of a luane figure

直角坐标又称“笛卡儿坐标(Cartesian coordinates)”

极坐标polar coordinates

抛物线parabola

椭圆ellipse

旋转体的面积volume of a solid of rotation

旋转椭球体ellipsoid of revolution, ellipsoid of rotation

曲线的弧长arc length of acurve 可求长的rectifiable

光滑smooth

功work

水压力water pressure

引力gravitation

变力variable force

第七章空间解析几何与向量代数Chapter7 Space Analytic Geometry and Vector Algebra

向量vector

自由向量free vector

单位向量unit vector

零向量zero vector

相等equal

平行parallel

向量的线性运算linear poeration of vector 三角法则triangle rule

平行四边形法则parallelogram rule

交换律commutative law

结合律associative law

负向量negative vector

差difference

分配律distributive law

空间直角坐标系space rectangular coordinates

坐标面coordinate plane

卦限octant

向量的模modulus of vector

向量a与b的夹角angle between vector a and b

方向余弦direction cosine

方向角direction angle

向量在轴上的投影projection of a vector onto an axis

数量积,外积,叉积scalar product,dot product,inner product

曲面方程equation for a surface

球面sphere

旋转曲面surface of revolution

母线generating line

轴axis

圆锥面cone

顶点vertex

旋转单叶双曲面revolution hyperboloids

of one sheet

旋转双叶双曲面revolution hyperboloids of two sheets

柱面cylindrical surface ,cylinder

圆柱面cylindrical surface

准线directrix

抛物柱面parabolic cylinder

二次曲面quadric surface

椭圆锥面dlliptic cone

椭球面ellipsoid

单叶双曲面hyperboloid of one sheet

双叶双曲面hyperboloid of two sheets

旋转椭球面ellipsoid of revolution

椭圆抛物面elliptic paraboloid

旋转抛物面paraboloid of revolution

双曲抛物面hyperbolic paraboloid

马鞍面saddle surface

椭圆柱面elliptic cylinder

双曲柱面hyperbolic cylinder

抛物柱面parabolic cylinder

空间曲线space curve

空间曲线的一般方程general form equations of a space curve

空间曲线的参数方程parametric equations of a space curve

螺转线spiral

螺矩pitch

投影柱面projecting cylinder

投影projection

平面的点法式方程pointnorm form eqyation of a plane

法向量normal vector

平面的一般方程general form equation of a plane

两平面的夹角angle between two planes 点到平面的距离distance from a point to a plane

空间直线的一般方程general equation of a line in space

方向向量direction vector

直线的点向式方程pointdirection form equations of a line

方向数direction number

直线的参数方程parametric equations of a line

两直线的夹角angle between two lines

垂直perpendicular

直线与平面的夹角angle between a line and a planes

平面束pencil of planes

平面束的方程equation of a pencil of planes

行列式determinant

系数行列式coefficient determinant

第八章多元函数微分法及其应用Chapter8 Differentiation of Functions of Several Variables and Its Application

一元函数function of one variable

多元函数function of several variables

内点interior point

外点exterior point

边界点frontier point,boundary point

聚点point of accumulation

开集openset

闭集closed set

连通集connected set

开区域open region

闭区域closed region

有界集bounded set

无界集unbounded set

n维空间n-dimentional space

二重极限double limit

多元函数的连续性continuity of function of seveal

连续函数continuous function

不连续点discontinuity point

一致连续uniformly continuous

偏导数partial derivative

对自变量x的偏导数partial derivative with respect to independent variable x

高阶偏导数partial derivative of higher order

二阶偏导数second order partial derivative 混合偏导数hybrid partial derivative

全微分total differential

偏增量oartial increment

偏微分partial differential

全增量total increment

可微分differentiable

必要条件necessary condition

充分条件sufficient condition

叠加原理superpostition principle

全导数total derivative

中间变量intermediate variable

隐函数存在定理theorem of the existence of implicit function

曲线的切向量tangent vector of a curve

法平面normal plane

向量方程vector equation

向量值函数vector-valued function

切平面tangent plane

法线normal line

方向导数directional derivative

梯度gradient

数量场scalar field

梯度场gradient field

向量场vector field

势场potential field

引力场gravitational field

引力势gravitational potential

曲面在一点的切平面tangent plane to a surface at a point

曲线在一点的法线normal line to a surface at a point

无条件极值unconditional extreme values 条件极值conditional extreme values

拉格朗日乘数法Lagrange multiplier method

拉格朗日乘子Lagrange multiplier

经验公式empirical formula

最小二乘法method of least squares

均方误差mean square error

第九章重积分

Chapter9 Multiple Integrals

二重积分double integral

可加性additivity

累次积分iterated integral

体积元素volume element

三重积分triple integral

直角坐标系中的体积元素volume element in rectangular coordinate system 柱面坐标cylindrical coordinates

柱面坐标系中的体积元素volume element in cylindrical coordinate system

球面坐标spherical coordinates

球面坐标系中的体积元素volume element in spherical coordinate system

反常二重积分improper double integral

曲面的面积area of a surface

质心centre of mass

静矩static moment

密度density

形心centroid

转动惯量moment of inertia

参变量parametric variable

第十章曲线积分与曲面积分

Chapter10 Line(Curve)Integrals and Surface Integrals

对弧长的曲线积分line integrals with respect to arc hength

第一类曲线积分line integrals of the first type

对坐标的曲线积分line integrals with respect to x,y,and z

第二类曲线积分line integrals of the second type

有向曲线弧directed arc

单连通区域simple connected region

复连通区域complex connected region

格林公式Green formula

第一类曲面积分surface integrals of the first type

对面的曲面积分surface integrals with respect to area

有向曲面directed surface

对坐标的曲面积分surface integrals with respect to coordinate elements

第二类曲面积分surface integrals of the second type

有向曲面元element of directed surface

高斯公式gauss formula

拉普拉斯算子Laplace operator

格林第一公式Green’s first formula

通量flux

散度divergence

斯托克斯公式Stokes formula

环流量circulation

旋度rotation,curl

第十一章无穷级数

Chapter11 Infinite Series

一般项general term

部分和partial sum

余项remainder term

等比级数geometric series

几何级数geometric series

公比common ratio

调和级数harmonic series

柯西收敛准则Cauchy convergence criteria, Cauchy criteria for convergence

正项级数series of positive terms

达朗贝尔判别法D’Alembert test

柯西判别法Cauchy test

交错级数alternating series

绝对收敛absolutely convergent

条件收敛conditionally convergent

柯西乘积Cauchy product

函数项级数series of functions

发散点point of divergence

收敛点point of convergence

收敛域convergence domain

和函数sum function

幂级数power series

幂级数的系数coeffcients of power series 阿贝尔定理Abel Theorem

收敛半径radius of convergence

收敛区间interval of convergence

泰勒级数Taylor series

麦克劳林级数Maclaurin series

二项展开式binomial expansion

近似计算approximate calculation

舍入误差round-off error,rounding error

欧拉公式Euler’s formula

魏尔斯特拉丝判别法Weierstrass test

三角级数trigonometric series

振幅amplitude

角频率angular frequency

初相initial phase

矩形波square wave

谐波分析harmonic analysis 直流分量direct component

基波fundamental wave

二次谐波second harmonic

三角函数系trigonometric function system 傅立叶系数Fourier coefficient

傅立叶级数Forrier series

周期延拓periodic prolongation

正弦级数sine series

余弦级数cosine series

奇延拓odd prolongation

偶延拓even prolongation

傅立叶级数的复数形式complex form of Fourier series

第十二章微分方程

Chapter12 Differential Equation

解微分方程solve a dirrerential equation 常微分方程ordinary differential equation 偏微分方程partial differential equation,PDE

微分方程的阶order of a differential equation

微分方程的解solution of a differential equation

微分方程的通解general solution of a differential equation

初始条件initial condition

微分方程的特解particular solution of a differential equation

初值问题initial value problem

微分方程的积分曲线integral curve of a differential equation

可分离变量的微分方程variable separable differential equation

隐式解implicit solution

隐式通解inplicit general solution

衰变系数decay coefficient

衰变decay

齐次方程homogeneous equation

一阶线性方程linear differential equation of first order

非齐次non-homogeneous

齐次线性方程homogeneous linear equation

非齐次线性方程non-homogeneous linear

equation

常数变易法method of variation of constant

暂态电流transient stata current

稳态电流steady state current

伯努利方程Bernoulli equation

全微分方程total differential equation

积分因子integrating factor

高阶微分方程differential equation of higher order

悬链线catenary

高阶线性微分方程linera differential equation of higher order

自由振动的微分方程differential equation of free vibration

强迫振动的微分方程differential equation of forced oscillation

串联电路的振荡方程oscillation equation of series circuit

二阶线性微分方程second order linera differential equation

线性相关linearly dependence

线性无关linearly independce

二阶常系数齐次线性微分方程second order homogeneour linear differential equation with constant coefficient

二阶变系数齐次线性微分方程second order homogeneous linear differential equation with variable coefficient

特征方程characteristic equation

无阻尼自由振动的微分方程differential equation of free vibration with zero damping 固有频率natural frequency

简谐振动simple harmonic oscillation,simple harmonic vibration

微分算子differential operator

待定系数法method of undetermined coefficient

共振现象resonance phenomenon

欧拉方程Euler equation

幂级数解法power series solution

数值解法numerial solution

勒让德方程Legendre equation

微分方程组system of differential equations

常系数线性微分方程组system of linera differential equations with constant c

数学运算英语表示

英语加减乘除表达 1.加减乘除公式 ⑴ A+B=C A plusB equals/is C 20+5=25 Twenty plus 5 equals/is twenty-five. ⑵ A-B=C A minusB equals/is C 20-5=15 Twenty minus 5 equals/is fifteen. ⑶ A×B=C A multiplied byB equals/is C 20×5=100 Twenty multiplied by 5 equals/is one hundred. ⑷ A÷B=C A divided byB equals/is C 20÷5=4 Twenty divided by 5 equals/is four. 2.加减乘除口语化的表达 ⑴ Add twenty and five, we can get twenty-five. ⑵ Subtract five from twenty, we can get fifteen. ⑶ Multiply twenty by five, we can get one hundred. ⑷ Divide twenty by five, we can four. 3. 用how much对加减乘除进行提问 ⑴Twenty minus five equals fifteen. How much does twenty minus five equal? ⑵Twenty minus five is fifteen. How much is twenty minus five? 英语分数、小数及百分数的表达 1.表达形式 ⑴分数 ①基本规则:子基母序(即:分子用基数词,分母用序数词) 1/3 one third 1/8 one eighth 1/12 one twelfth ②当分子大于1时,分母要加s变成复数。 2/3 two thirds 3/8 three eighths 5/12 five twelfths ③特殊的表达: 1/4 可以表示为 one fourth 或者 a quarter 3/4 可以表示为 three fourth 或者 three quarters 1/2 a half ⑵.小数 小数点前后的数均按基数词来读,小数点读成point,小数点后的数字逐位读出。 3.1415926 three point one four one five nine two six 0.463 zero point four six three ⑶.百分数 汉语中先读百分号,再读数字;英语中恰恰相反:先念出数字,再加上百分号percent 80% eighty percent 99.5% ninety-nine point five percent

数学符号英文表示

英语数学符号 +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 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

数学符号的英文读法

常用的数学英语表述 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 x y x over 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 not 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 x 2 x squared / x (raised) to the power 2 x 3 x cubed x 4 x to the fourth / x to the power four

特殊符号英文读法

asterisk (*) plus sign (+) minus sign (-) forward slash (/) backslash (\) percent symbol (%) exclamation point symbol (!) underscore (_) equal sign (=) decimal points (.) semicolon (;) increment (++) operators decrement (--) operators ( ) Parenthesis { } Braces [ ] Brackets , Comma ; Semicolon ' Quote @ At +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 ∵since; because因为 ∴hence所以

数学公式的英文表达

数学公式的英文表达 Pronunciation of mathematical expressions The 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 9 there exists 8 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 2 A x belongs to A / x is an element (or a member) of A x =2 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 n B A minus B / the di?erence 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 x y x over y = the equals sign x = 5 x equals 5 / x is equal to 5 x 6= 5 x (is) not equal to 5 1 x ¥ y x is equivalent to (or identical with) y x 6¥ y x is not 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 jxj mod x / modulus x x2 x squared / x (raised) to the power 2 x3 x cubed x4 x to the fourth / x to the power four

常用符号和运算符的英语描述

一、数学运算符号的英文表达(小数、分数、百分数和运算符号) 1. 小数表示法 (1) 小数的读法 小数点左边的数通常按基数词读,若为三位以上的数,也可按编码式读法读出,即将数字单个读出;小数点右边的数通常按编码式读法单个读出。如: 6.86 six point eight six 14.15 fourteen point one five 345.456 three four five point four five six 或three hundred and forty-five point four five six (2) 小数中“0”的读法 “0”在小数中通常读作nought(英)或zero(美),也可读作字母o。如: 0.08 (nought)point nought eight 或(zero)point zero eight 9.07 nine point o seven 2. 百分数表示法 百分数中的百分号%读作percent。如: 6% 读作six percent 0.6% 读作(nought)point six percent 500% 读作five hundred percent 3. 倍数表示法 倍数表示方法很多,如: This room is four times as big as mine. 这个房间是我房间的四倍。 This room is three times larger than that one. 这个房间比那个房间大两倍。 The output of coal has doubled. 煤的产量增加了一倍。 My aunt is as old again as I am. 我姑姑年龄比我大一倍。 Productivity is increased three fold. 生产效率提高了两倍。 The volume of the Sun is about 1,300,000 times that of the Earth. 太阳的体积约为地球的1300000倍。 4. 加减乘除式的读法 6+5=11 Six plus five is eleven 或Six and five is eleven. 11-6=5 Eleven minus six is five. 或Six from eleven is five. 4×5=20 Four multiplied by five is twenty.或Four times five is twenty. 20÷4=5 Twenty divided by four is five. 或Four into twenty goes five.

这些符号用英语怎么读

这些符号用英语怎么读 键盘上的英文怎么读: ` backquote 反引号 ~ tilde ! exclam @ at # numbersign,英语国家是hash,美语是pound,音乐里作sharp,如C# $ dollar % percent ^ caret & ampersand * asterisk,star(美语),数学公式中作multiply ( parenleft,opening parentheses ) parenright,closing paretheses - minus;hyphen连字符,不读 _ underscore + plus = equal [ bracketleft,opening bracket ] bracketright,closing bracket { braceleft } braceright ; semicolon : colon ' quote " doublequote / slash backslash 反斜杠 | bar , comma < less > greater . period ? question space 空格 其他符号的读法 <is less than >is more than ≮is not less than ≯is not more than

≤ is less than or equal to 小于或等于号 - hyphen 连字符 ≥ is more than or equal to 大于或等于号 ' apostrophe 省略号,英文中省略字符用的撇号;所有格符号%percent -dash 破折号 ‰ per mille ∞ infinity 无限大号 ∝varies as 与…成比例 ( ) parentheses 圆括号 √ (square) root 平方根 [ ] square brackets 方括号 ∵since; because 因为 《》French quotes 法文引号;书名号 ∴hence 所以 … ellipsis 省略号 ∷equals, as (proportion) 等于,成比例 ¨tandem colon 双点号 ∠angle 角 ∶ditto 双点号 ⌒semicircle 半圆 ‖ parallel 双线号 ⊙circle 圆 /virgule 斜线号 ○ circumference 圆周 ~swung dash 代字号 △triangle 三角形 §section; division 分节号 ⊥perpendicular to 垂直于 → arrow 箭号;参见号 ∪union of 并,合集 ∩ intersection of 交,通集 ∫ the integral of …的积分 ±plus or minus 正负号 ∑ summation of 总和 ×is multiplied by 乘号 °degree 度 ÷is divided by 除号 ′ minute 分 〃second 秒 ≠ is not equal to 不等于号 ≡ is equivalent to 全等于号 ℃Celsius degree 摄氏度 ≌is equal to or approximately equal to 等于或约等于号

各种数学符号的英文表达

“加减乘除”怎么说?各种数学符号的英文表达,看完学渣变学霸! 不知大家还记得当年所画过的函数图吗?不停地标点,画线,有时候为了画出好看的弧度,甚至要多擦几遍才能做到...每一条函数都有不一样的形状,把它们组合起来,也许会有意想不到的效果噢 数学,相信对于不少人,特别是文科班女生的来说,都是一个大难题。在考试时,靠的就是自己的英语来拉分。那么,想要用英语来说出数学公式,又该怎么表达呢?

一. 首先区分一下Equations 和Formulas的使用 1. An equation等式 says that two things are equal. It will have an equals sign "=" like this: x + 2 = 6 2. A formula公式 is a special type of equation that shows the relationship between different variables. 也是一种特殊的等式,只不过展示的是不同变量之间的关系 举个栗子:我们常用到的长方体的体积等于长X宽X高就是一个formula V = lwh V stands for volume, l for length, w for width, and h for height. 3. Algebra代数 不用多说,就是XY未知数,多年实战,你们懂的

二. 符号 要说公式,总不能只说个字母就完事吧,加减乘除先来一翻1.加号+ plus x + 1:x plus one 2.减号- minus x -1:x minus one 3.乘号x multiplied by x times y; x multiplied by y 4.除号÷ over; divided by x over y; x divided by y; 除了这些小学的算术题外,还有这些 1.约等于x ≈ y x is approximately equal to y 2.大于等于x ≥ y x is greater than or equal to y 3.小于等于x ≤ y x is less than or equal to y

常用数学符号大全

常用数学符号大全 Company Document number:WTUT-WT88Y-W8BBGB-BWYTT-19998

常用数学输入符号:~~≈ ≡ ≠ =≤≥ <>≮≯∷ ±+- × ÷/∫ ∮∝∞ ∧∨∑ ∏ ∪∩ ∈∵∴//⊥‖ ∠⌒≌∽√()【】{}ⅠⅡ⊕⊙∥αβγδεζηθΔαβγδεζηθικλμνξοπρστυφχψω ΑΒΓΔΕΖΗΘΙΚ∧ΜΝΞΟ∏Ρ∑ΤΥΦΧΨΩ абвгдеёжзийклмнопрстуфхцчшщъыьэюя АБВГДЕЁЖЗИЙКЛМНОПРСТУФХЦЧШЩЪЫЬЭЮЯ

sin(x) 在自变量x处的正弦函数值 exp(x) 在自变量x处的指数函数值,常被写作e x a^x a的x次方;有理数x由反函数定义 ln x exp x 的反函数 a x同 a^x log b a 以b为底a的对数; b log b a = a cos x 在自变量x处余弦函数的值 tan x 其值等于 sin x/cos x cot x 余切函数的值或 cos x/sin x sec x 正割含数的值,其值等于 1/cos x csc x 余割函数的值,其值等于 1/sin x asin x y,正弦函数反函数在x处的值,即 x = sin y acos x y,余弦函数反函数在x处的值,即 x = cos y atan x y,正切函数反函数在x处的值,即 x = tan y acot x y,余切函数反函数在x处的值,即 x = cot y asec x y,正割函数反函数在x处的值,即 x = sec y acsc x y,余割函数反函数在x处的值,即 x = csc y θ角度的一个标准符号,不注明均指弧度,尤其用于表示atan x/y,当x、y、z用于表示空间中的点时 i, j, k 分别表示x、y、z方向上的单位向量 (a, b, c) 以a、b、c为元素的向量 (a, b) 以a、b为元素的向量 (a, b) a、b向量的点积 ab a、b向量的点积 (ab) a、b向量的点积 |v| 向量v的模 |x| 数x的绝对值 Σ表示求和,通常是某项指数。下边界值写在其下部,上边界值写在其上部。 如j从1到100 的和可以表示成:。这表示1 + 2 + … + n M 表示一个矩阵或数列或其它 |v> 列向量,即元素被写成列或可被看成k×1阶矩阵的向量

数学运算符 的英文表达

数学运算符号的英文表达 小数、分数、百分数和运算符号 1. 小数表示法 (1) 小数的读法 小数点左边的数通常按基数词读,若为三位以上的数,也可按编码式读法读出,即将数字单个读出;小数点右边的数通常按编码式读法单个读出。如: 6.86 six point eight six 14.15 fourteen point one five 345.456 three four five point four five six 或three hundred and forty-five point four five six (2) 小数中“0”的读法 “0”在小数中通常读作nought(英)或zero(美),也可读作字母o。如: 0.08 (nought)point nought eight 或(zero)point zero eight 9.07 nine point o seven 2. 百分数表示法 百分数中的百分号%读作percent。如: 6% 读作 six percent 0.6% 读作(nought) point six percent 500% 读作five hundred percent 3. 倍数表示法

倍数表示方法很多,如: This room is four times as big as mine. 这个房间是我房间的四倍。 This room is three times larger than that one. 这个房间比那个房间大两倍。The output of coal has doubled. 煤的产量增加了一倍。 My aunt is as old again as I am. 我姑姑年龄比我大一倍。 Productivity is increased three fold. 生产效率提高了两倍。 The volume of the Sun is about 1,300,000 times that of the Earth. 太阳的体积约为地球的1300000倍。 4. 加减乘除式的读法 6+5=11 Six plus five is eleven 或Six and five is eleven. 11-6=5 Eleven minus six is five. 或Six from eleven is five. 4×5=20 Four multiplied by five is twenty.或Four times five is twenty. 20÷4=5 Twenty divided by four is five. 或Four into twenty goes five. 15:5=3 The ratio of fifteen to five is three. 32 Three squared is nine. 23 Two cubed is eight. 24 The fourth power of two is sixteen. X^(1/2)=Y The square root of X is Y. X^(1/3)=Y The cubic root of X is Y. a > b a is more than b. a < b a is less than b. a ≈ b a approximately equals to b. a ≠ b a is not equal to b.

英语口译符号缩写

一、缩略词 英语当中缩略词使用的频率很高,如IMP: important, ASAP: as soon as possible。很显然如果能熟练掌握缩略词,会对考试大有裨益。 缩略词的写法一般为四种方式: F拿掉所有元音 MKT: market MGR: manager MSG: message STD: standard RCV: receive F保留前几个字母 INFO information INS insurance EXCH exchange I owe you IOU In stead of I/O F保留开头和结尾个发音字母 WK week RM room PL people F根据发音 R are THO though THRU through 高级口译听力常用英语缩略词表 缩略词原词 APT Apartment ACC Accountant ACDG According ACPT Accept AD Advertisement ADS Address ADV Advice AMAP As much/many as possible AMT Amount APV Approve ASAP As soon as possible BAL Balance BLDG Building CERT Certificate CFM Conform CNCL Cancel

CNF Conference CMI Commission CMP Complete CMPE Compete/competitive CMU Communication CONC Concern/concerning/concerned COND Condition CO. Company DEPT Department DISC Discount DPT Departure EXCH Exchange EXPLN Explain EXT Extent FLT Flight FNT Final FRT Freight FYR For your reference GD Good GUAR Guarantee H.O. Home office INFO Information IMPS Impossible IMP(T) Important INCD Include INDIV Individual INS Insurance INTST Interested I/O In stead of IOU I owe you IVO In view of MANUF Manufacture MDL Model MEMO Memorandum MGR Manger MIN Minimum MKT Market MSG Message NCRY Necessary NLT No later than OBS Observe OBT Obtain ORD Ordinary PAT Patent

各种符号英语大全

+ 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 ∵ since; because 因为

∴ hence 所以 ∷ equals, as (proportion) 等于,成比例∠ angle 角 ⌒ semicircle 半圆 ⊙ circle 圆 ○ circumference 圆周 π pi 圆周率 △ triangle 三角形 ⊥ perpendicular to 垂直于 ∪ union of 并,合集 ∩ intersection of 交,通集 ∫ the integral of ...的积分 ∑ (sigma) 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

各种数学符号英文翻译

+ 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

数学符号的英语表达

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 x/y x over 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不等于y)x is not 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

GMAT常用数学符号与英文解释

+ plus, positive -minus, negative ×multiplied by, times ÷(/) divided by = is equal to, equals ≠ not equal to ≈ is approximately equal to, approximately equals >greater than <less than ≥ equal to or greater than ≤ equal to or less than >> much greater than << much less than ∈is a member of the set ( ) round brackets, parentheses [ ] square brackets { } braces ∽similar to ≌congruent to ⊥perpendicular to, at right angles with ∥parallel to ∠angle

⊙circle e the base o f natural logarithms, approx. 2. 71828 π pi; the ratio of the circumference of a circle to its diameter, diameter, approx, 3.14159 n! factorial n, n( n-1) ( n-2) (n-3) (1) ︱x︱the absolute value of x X2 raised to the second power X3 X cube; X cubed; the cube of X; X to the third power; the third power of X; X raised to the third power X-10 X to the minus tenth( tenth power) √x the square root of x 3√x the cube root of x X n the nth power of X, X to the power n, X raised to the nth power, X to the nth power 1/X n one over X to the n α 5/β2 α to the five over β squared X1/n(n√X) the nth root of X, X to the power one over n y=f(x) y is a function of x a+b a plus b; the sum of a and b; the total of a and b; a added to b; a increased to b; a increased by b; a more than b; a greater than b a-b a minus b; a less b the difference of a and b; from a subtract b; a takes away b; a decreased by b; a diminished by b; b is

英语中数学符号表达

Pronunciation of Mathematical Expressions The 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 2、Sets 3、Real numbers x x plus one 1 + x x minus one 1 - ± x x plus or minus one 1 xy xy / x multiplied by y x+ y -x minus y, x plus y ) )( (y x

y x x over y / x on y = the equals sign 5=x x equals 5 / x is equal to 5 5≠x x (is) not equal to 5 y x ≡ x is equivalent to (or identical with) y x ≠y x is not equivalent to (or identical with) y y x > x is greater than y y x ≥ x is greater than or equal to y y x < x is less than y y x ≤ x is less than or equal to y 1 0<

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