高等数学专业英语名词

高等数学专业英语名词
高等数学专业英语名词

高等数学术语英语翻译

V、X、Z:

Value of function:函数值Vector:函数值Volume:体积X-axis:x轴

x-coordinate:x坐标x-intercept:x截距Zero vector:函数的零点

T:

Tangent function:正切函数Tangent line:切线Total differential:全微分Trigonometric function:三角函数Tripe integrals:三重积分

S:

Second derivative:二阶导数Second partial derivative:二阶偏导数Sequence:数列Set:集合Slope:斜率Smooth curve:平滑曲线Smooth surface:平滑曲面Solid of revolution:旋转体Space:空间Speed:速率Spherical coordinates:球面坐标Sum:和Surface:曲面Surface integral:面积分Surface of revolution:旋转曲面Symmetry:对称Sine function:正弦函数Slant asymptote:斜渐近线R:

Range of a function:函数的值域Rate of change:变化率Rational function:有理函数Rational number:有理数Real number:实数Rectangular coordinates:直角坐标Revolution,solid of:旋转体Revolution,surface of:旋转曲面Root:根

P、Q:

Parabola:拋物线Parabolic cylinder:抛物柱面Paraboloid:抛物面Parallelepiped:平行六面体Parallel lines:并行线Parameter:参数Partial derivative:偏导数Partial differential equation:偏微分方程Partial fractions:部分分式Partial integration:部分积分Partiton:分割Period:周期Periodic function:周期函数Perpendicular lines:垂直线Plane:平面Polar coordinate:极坐标Pole:极点Polynomial:多项式Positive angle:正角Power function:幂函数Product:积

M、N、O:

Maximum and minimum values:极大与极小值Multiple integrals:重积分Natural num ber:自然数Normal line:法线Number:数Odd function:奇函数One-sided li mit:单边极限Open interval:开区间Ordinary differential equation:常微分方程Orthogonal:正交的Origin:原点

L:

Law of Cosines:余弦定理Left-hand derivative:左导数Left-hand limit:左极限Length:长度Limit:极限Linear approximation:线性近似Linear equation:线性方程式Linear function:线性函数Linearity:线性Logarithm:对数Logarithmic function:对数函数

I:

Implicit function:隐函数Increment:增量Indefinite integral:不定积分Independent variable:自变数Indeterminate from:不定型Inequality:不等式Infinite point:无穷极限Infinite series:无穷级数Integer:整数Integral:积分Integrand:被积分式Integration:积分Intercepts:截距Interval:区间

Inverse function:反函数Inverse trigonometric function:反三角函数

Iterated integral:逐次积分Intermediate value of Theorem:中间值定理

H:

Higher mathematics高等数学/高数

E、F、G、H:

Ellipse:椭圆Ellipsoid:椭圆体Equation:方程式Even function:偶函数Expected Valued:期望值Exponential Function:指数函数Extreme value:极值Focus:焦点Fractions:分式Function:函数Gradient:梯度Graph:图形Higher Derivative:高阶导数Horizontal asymptote:水平渐近线Horizontal line:水平线Hyperbola:双曲线Hyper boloid:双曲面

D:

Decreasing function:递减函数Decreasing sequence:递减数列Definite integral:定积分Density:密度Derivative:导数higher:高阶导数partial:偏导数Determinant:行列式Differentiable function:可导函数Differential:微分Differential equation:微分方程partial:偏微分方程Differentiation:求导法implicit:隐求导法partial:偏微分法Discontinuity:不连续性Distance:距离Divergence:发散Domain:定义域Double integral:二重积分

C:

Calculus:微积分differential:微分学integral:积分学Circle:圆

Circular cylinder:圆柱Closed interval:封闭区间Coefficient:系数

Cone:圆锥Constant function:常数函数Constant of integration:积分常数Continuity:连续性Continuous function:连续函数Convergence:收敛Convergent sequence:收敛数列Coordinate:s:坐标polar:极坐标rectangular:直角坐标spherical:球面坐标Coordinate axes:坐标轴

Cosine function:余弦函数Critical point:临界点Cubic function:三次函数Curve:曲线Cylinder:圆柱

A、B:

Absolute convergence:绝对收敛Absolute extreme values:绝对极值

Absolute maximum and minimum:绝对极大与极小Absolute value:绝对值Absolute value function:绝对值函数Acceleration:加速度Antiderivative:反导Arbitrary constant:任意常数Arc length:弧长Area:面积Asymptote:渐近线horizontal:水平渐近线slant:斜渐近线vertical:垂直渐近线Average speed:平均速率Average velocity:平均速度

微积分词汇

第一章函数与极限

Chapter1Function 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

开区间open interval闭区间closed interval映射mapping一一映射one-to-one mapping变化transformation函数function自变量independent variable

因变量dependent variable函数关系function relation值域range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

分段函数piecewise function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对称symmetry

偶函数even function奇函数odd 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极限limit数列sequence of number 收敛convergence发散divergent子列subsequence函数的极限limits of functions

左极限left limit右极限right limit单侧极限one-sided limits无穷小infinitesimal

无穷大infinity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

2高等数学-翻译

等阶无穷小equivalent infinitesimal函数的连续性continuity of a function

增量increment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

Chapter2Derivative and Differential

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导函数derived function

切线方程tangent equation隐函数implicit function显函数explicit function

高阶导数nth derivative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

Chapter3MeanValue Theorem of Differentials and the Application of Derivatives

临界点critical point辅助函数auxiliary function不定式indeterminate form

泰勒公式Taylor formula余项remainder term拐点inflection point

函数的极值extremum of function极大值local(relative)maximum

极小值local(relative)minimum曲率curvature平均曲率average curvature

曲率中心center of curvature

第四章不定积分

Chapter4Indefinite 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

第五章定积分

Chapter5Definite Integrals

曲边梯形trapezoid with曲边curve 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反常积分improper integral

第六章定积分的应用

面积元素element of area极坐标polar coordinates抛物线parabola椭圆ellipse

旋转体的面积volume of a solid of rotation曲线的弧长arc length of acurve

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

Chapter7Space Analytic Geometry and Vector Algebra

相等equal平行parallel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差difference分配律distributive law

球面sphere轴axis顶点vertex抛物柱面parabolic cylinder

二次曲面quadric surface椭圆锥面dlliptic cone椭球面ellipsoid

椭圆柱面elliptic cylinder双曲柱面hyperbolic cylinder抛物柱面parabolic cylinder

空间曲线space curve投影projection垂直perpendicular

第八章多元函数微分法及其应用

Chapter8Differentiation of Functions of Several Variables and Its Application

一元函数function of one variable多元函数function of several variables

边界点frontier point,boundary point开集openset闭集closed set有界集bounded set 无界集unbounded set二重极限double limit连续函数continuous function

不连续点discontinuity point偏导数partial derivative

高阶偏导数partial derivative of higher order二阶偏导数second order 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全导数total derivative法线normal line梯度gradient 无条件极值unconditional extreme values条件极值conditional extreme values

最小二乘法method of least squares

第九章重积分

Chapter9Multiple Integrals

二重积分double integral可加性additivity三重积分triple integral

反常二重积分improper double integral曲面的面积area of a surface

质心centre of mass密度density

第十二章微分方程

Chapter12Differential Equation

常微分方程ordinary differential equation偏微分方程partial differential equation,PDE

初始条件initial condition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全微分方程total differential equation

高阶微分方程differential equation of higher order

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 variable coefficient

微分方程组system of differential equations

微积分英文词汇,高数名词中英文对照,高等数学术语英语翻译一览

微积分英文词汇,高数名词中英文对照,高等数学术语英语翻译一览 V、X、Z: Value of function :函数值 Variable :变数 Vector :向量 Velocity :速度 Vertical asymptote :垂直渐近线 Volume :体积 X-axis :x轴 x-coordinate :x坐标 x-intercept :x截距 Zero vector :函数的零点 Zeros of a polynomial :多项式的零点 T: Tangent function :正切函数 Tangent line :切线 Tangent plane :切平面 Tangent vector :切向量 Total differential :全微分 Trigonometric function :三角函数 Trigonometric integrals :三角积分 Trigonometric substitutions :三角代换法 Tripe integrals :三重积分 S: Saddle point :鞍点 Scalar :纯量 Secant line :割线 Second derivative :二阶导数 Second Derivative Test :二阶导数试验法 Second partial derivative :二阶偏导数 Sector :扇形 Sequence :数列 Series :级数 Set :集合 Shell method :剥壳法 Sine function :正弦函数

Singularity :奇点 Slant asymptote :斜渐近线 Slope :斜率 Slope-intercept equation of a line :直线的斜截式Smooth curve :平滑曲线 Smooth surface :平滑曲面 Solid of revolution :旋转体 Space :空间 Speed :速率 Spherical coordinates :球面坐标 Squeeze Theorem :夹挤定理 Step function :阶梯函数 Strictly decreasing :严格递减 Strictly increasing :严格递增 Sum :和 Surface :曲面 Surface integral :面积分 Surface of revolution :旋转曲面 Symmetry :对称 R: Radius of convergence :收敛半径 Range of a function :函数的值域 Rate of change :变化率 Rational function :有理函数 Rationalizing substitution :有理代换法 Rational number :有理数 Real number :实数 Rectangular coordinates :直角坐标 Rectangular coordinate system :直角坐标系Relative maximum and minimum :相对极大值与极小值Revenue function :收入函数 Revolution , solid of :旋转体 Revolution , surface of :旋转曲面 Riemann Sum :黎曼和 Riemannian geometry :黎曼几何 Right-hand derivative :右导数 Right-hand limit :右极限 Root :根 P、Q: Parabola :拋物线

数学专业英语常用词汇

2.有关集合数学专业英语词汇 代数部分 union并集? propersubset真子集?1.有关数*算 solutionset解集?? add,plus加? 3.有关代数式、方程和不等式subtract减? difference差?? algebraicterm代数项?multiply,times乘? liketerms,similarterms同类项?product积? numericalcoefficient数字系数?divide除? literalcoefficient字母系数??divisible可被整除的? inequality不等式?dividedevenly被整除? triangleinequality三角不等式??dividend被除数,红利? range值域??divisor因子,除数? originalequation原方程?quotient商? equivalentequation同解方程,等价方程?remainder余数?? linearequation线性方程(e.g.5?x?+6=22)?factorial阶乘? power乘方? 4.有关分数和小数radicalsign,rootsign根号? roundto四舍五入? properfraction真分数?tothenearest四舍五入 improperfraction假分数?

mixednumber带分数?cuberoot立方根?? vulgarfraction,commonfraction普通分数?commonlogarithm常用对数? simplefraction简分数?digit数字? complexfraction繁分数??constant常数? numerator分子?variable变量?? denominator分母?inversefunction反函数? (least)commondenominator(最小)公分complementaryfunction余函数? 母?linear一次的,线性的? quarter四分之一?factorization因式分解? decimalfraction纯小数?absolutevalue绝对值,e.g.|-32|=32? infinitedecimal无穷小数roundoff四舍五入? recurringdecimal循环小数? tenthsunit十分位??6.有关数论 5.基本数学概念naturalnumber自然数? positivenumber正数? arithmeticmean算术平均值?negativenumber负数? weightedaverage加权平均值?oddinteger,oddnumber奇数? geometricmean几何平均数?eveninteger,evennumber偶数? exponent指数,幂?integer,wholenumber整数? base乘幂的底数,底边?positivewholenumber正整数? cube立方数,立方体?negativewholenumber负整数?? squareroot平方根?consecutivenumber连续整数?

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微积分英文专业词汇

微积分词汇 第一章函数与极限 Chapter1Function 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

数学专业英语词汇英汉对照

1 概率论与数理统计词汇英汉对照表 A absolute value 绝对值 accept 接受 acceptable region 接受域 additivity 可加性 adjusted 调整的 alternative hypothesis 对立假设 analysis 分析 analysis of covariance 协方差分析 analysis of variance 方差分析 arithmetic mean 算术平均值 association 相关性 assumption 假设 assumption checking 假设检验 availability 有效度 average 均值 B balanced 平衡的 band 带宽 bar chart 条形图 beta-distribution 贝塔分布 between groups 组间的 bias 偏倚

binomial distribution 二项分布binomial test 二项检验 C calculate 计算 case 个案 category 类别 center of gravity 重心 central tendency 中心趋势 chi-square distribution 卡方分布chi-square test 卡方检验 classify 分类 cluster analysis 聚类分析coefficient 系数 coefficient of correlation 相关系数collinearity 共线性 column 列 compare 比较 comparison 对照 components 构成,分量compound 复合的 confidence interval 置信区间consistency 一致性 constant 常数

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