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. 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 + 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 + 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 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 + 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 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<数学运算符 的英文表达
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