微积分术语中英文对照

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微积分术语中英文对照A、B:Absoluteconvergence:绝对收敛Absoluteextremevalues:绝对极值Absolutemaximumandminimum:绝对极大与极小Absolutevalue:绝对值Absolutevaluefunction:绝对值函数Acceleration:加速度Antiderivative:原函数,反导数Approximateintegration:近似积分(法)Approximation:逼近法bydifferentials:用微分逼近linear:线性逼近法bySimpson’sRule:Simpson法则逼近法bytheTrapezoidalRule:梯形法则逼近法Arbitraryconstant:任意常数Arclength:弧长Area:面积underacurve:曲线下方之面积betweencurves:曲线间之面积inpolarcoordinates:极坐标表示之面积ofasectorofacircle:扇形之面积ofasurfaceofarevolution:旋转曲面之面积Asymptote:渐近线horizontal:水平渐近线slant:斜渐近线vertical:垂直渐近线Averagespeed:平均速率Averagevelocity:平均速度Axes,coordinate:坐标轴Axesofellipse:椭圆之对称轴Binomialseries:二项式级数Binomialtheorem:二项式定理C:Calculus:微积分differential:微分学integral:积分学Cartesiancoordinates:笛卡儿坐标一般指直角坐标Cartesiancoordinatessystem:笛卡儿坐标系Cauch’sMeanValueTheorem:柯西中值定理ChainRule:链式法则Circle:圆Circularcylinder:圆柱体,圆筒Closedinterval:闭区间Coefficient:系数Compositionoffunction:复合函数Compoundinterest:复利Concavity:凹性Conchoid:蚌线Conditionallyconvergent:条件收敛Cone:圆锥Constantfunction:常数函数Constantofintegration:积分常数Continuity:连续性atapoint:在一点处之连续性ofafunction:函数之连续性onaninterval:在区间之连续性fromtheleft:左连续fromtheright:右连续Continuousfunction:连续函数Convergence:收敛intervalof:收敛区间radiusof:收敛半径Convergentsequence:收敛数列series:收敛级数Coordinates:坐标Cartesian:笛卡儿坐标cylindrical:柱面坐标polar:极坐标rectangular:直角坐标spherical:球面坐标Coordinateaxes:坐标轴Coordinateplanes:坐标平面Cosinefunction:余弦函数Criticalpoint:临界点Cubicfunction:三次函数Curve:曲线Cylinder:圆筒,圆柱体,柱面CylindricalCoordinates:圆柱坐标D:Decreasingfunction:递减函数Decreasingsequence:递减数列Definiteintegral:定积分Degreeofapolynomial:多项式之次数Density:密度Derivative:导数ofacompositefunction:复合函数之导数ofaconstantfunction:常数函数之导数directional:方向导数domainof:导数之定义域ofexponentialfunction:指数函数之导数higher:高阶导数partial:偏导数ofapowerfunction:幂函数之导数ofapowerseries:羃级数之导数ofaproduct:积之导数ofaquotient:商之导数asarateofchange:导数当作变化率right-hand:右导数second:二阶导数astheslopeofatangent:导数看成切线之斜率Determinant:行列式Differentiablefunction:可导函数Differential:微分Differentialequation:微分方程partial:偏微分方程Differentiation:求导法implicit:隐求导法partial:偏微分法termbyterm:逐项求导法Directionalderivatives:方向导数Discontinuity:不连续性Diskmethod:圆盘法Distance:距离Divergence:发散Domain:定义域Dotproduct:点积Doubleintegral:二重积分changeofvariablein:二重积分之变数变换inpolarcoordinates:极坐标二重积分E、F、G:Ellipse:椭圆Ellipsoid:椭圆体Epicycloid:外摆线Equation:方程式Evenfunction:偶函数ExpectedValued:期望值ExponentialFunction:指数函数Exponents,lawsof:指数率Extremevalue:极值ExtremeValueTheorem:极值定理Factorial:阶乘FirstDerivativeTest:一阶导数试验法Firstoctant:第一卦限Focus:焦点Fractions:分式Function:函数FundamentalTheoremofCalculus:微积分基本定理Geometricseries:几何级数Gradient:梯度Graph:图形GreenFormula:格林公式H:Half-angleformulas:半角公式Harmonicseries:调和级数Helix:螺旋线HigherDerivative:高阶导数Highermathematics高等数学Horizontalasymptote:水平渐近线Horizontalline:水平线Hyperbola:双曲线Hyperboloid:双曲面I:Implicitdifferentiation:隐求导法Implicitfunction:隐函数Improperintegral:反常积分,广义积分Increasing,DecreasingTest:递增或递减试验法Increment:增量IncreasingFunction:增函数Indefiniteintegral:不定积分Independentvariable:自变量Indeterminatefrom:不定型Inequality:不等式Infinitepoint:无穷极限点Infiniteseries:无穷级数Inflectionpoint:反曲点Instantaneousvelocity:瞬时速度Integer:整数Integral:积分Integrand:被积函数Integration:积分Integrationbypart:分部积分法Intercepts:截距IntermediatevalueofTheorem:中值定理Interval:区间Inversefunction:反函数Inversetrigonometricfunction:反三角函数Iteratedintegral:逐次积分L:Laplacetransform:Laplace变换Lawofsines:正弦定理LawofCosines:余弦定理Leastupperbound:最小上界Left-handderivative:左导数Left-handlimit:左极限Lemniscate:双钮线Length:长度Levelcurve:等高线L'Hospital'srule:洛必达法则Limacon:蚶线Limit:极限Linearapproximation:线性近似Linearequation:线性方程式Linearfunction:线性函数Linearity:线性Linearization:线性化Lineintheplane:平面上之直线Lineinspace:空间之直线Localextreme:局部极值Localmaximumandminimum:局部极大值与极小值Logarithm:对数Logarithmicfunction:对数函数M、N、O:Maximumandminimumvalues:极大与极小值MeanValueTheorem:均值定理Multipleintegrals:重积分Multiplier:乘子Naturalexponentialfunction:自然指数函数Naturallogarithmfunction:自然对数函数Naturalnumber:自然数Normalline:法线Normalvector:法向量Number:数Octant:卦限Oddfunction:奇函数One-sidedlimit:单边极限Openinterval:开区间Optimizationproblems:最佳化问题Order:阶Ordinarydifferentialequation:常微分方程Origin:原点Orthogonal:正交的P、Q:Parabola:拋物线Paraboliccylinder:抛物柱面Paraboloid:抛物面Parallelepiped:平行六面体Parallellines:平行线Parameter:参数Partialderivative:偏导数Partialdifferentialequation:偏微分方程Partialfractions:部分分式Partialintegration:部分积分Partition:分割Period:周期Periodicfunction:周期函数Perpendicularlines:垂直线Piecewisedefinedfunction:分段定义函数Plane:平面Pointofinflection:反曲点Polaraxis:极轴Polarcoordinate:极坐标Polarequation:极方程式Pole:极点Polynomial:多项式Positiveangle:正角Point-slopeform:点斜式Powerfunction:幂函数Product:积Quadrant:象限QuotientLawoflimit:极限的商定律QuotientRule:商定律R:Radiusofconvergence:收敛半径Rangeofafunction:函数的值域Rateofchange:变化率Rationalfunction:有理函数Rationalizingsubstitution:有理代换法Rationalnumber:有理数Realnumber:实数Rectangularcoordinates:直角坐标Rectangularcoordinatesystem:直角坐标系Relativemaximumandminimum:相对极大值与极小值Revenuefunction:收入函数Revolution,solidof:旋转体Revolution,surfaceof:旋转曲面RiemannSum:黎曼和Right-handderivative:右导数Right-handlimit:右极限Root:根S:Saddlepoint:鞍点Scalar:纯量Secantline:割线Secondderivative:二阶导数SecondDerivativeTest:二阶导数试验法Secondpartialderivative:二阶偏导数Sector:扇形Sequence:数列Series:级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