微积分专有名词中英文对照

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1、微积分专有名词中英文对照absolutelyconvergent绝对收敛absolutevalue绝对值algebraicfunction代数函数analyticgeometry解析几何antiderivative不定积分approximateintegration近似积分approximation近似法、逼近法arbitraryconstant任意常数arithmeticseries/progression(AP)算数级数asymptotes(verticalandhorizontal)(垂直/水平)渐近线averagerat

2、eofchange平均变化率base基数binomialtheorem二项式定理，二项展开式Cartesiancoordinates笛卡儿坐标(一般指直角坐标)Cartesiancoordinatessystem笛卡儿坐标系Cauch’sMeanValueTheorem柯西均值定理chainrule链式求导法则calculus微积分学closedintervalintegral闭区间积分coefficient系数compositefunction复合函数conchoid蚌线continuity(函数的)连续性concavity(

3、函数的)凹凸性conditionallyconvergent有条件收敛 continuity连续性criticalpoint临界点cubicfunction三次函数cylindricalcoordinates圆柱坐标decreasingfunction递减函数decreasingsequence递减数列definiteintegral定积分derivative导数determinant行列式differentialcoefficient微分系数differentialequation微分方程directionalderivati

4、ve方向导数discontinuity不连续性discriminant(二次函数)判别式diskmethod圆盘法divergence散度divergent发散的domain定义域dotproduct点积doubleintegral二重积分ellipse椭圆ellipsoid椭圆体epicycloid外摆线Euler'smethod(BC)欧拉法expectedvalued期望值exponentialfunction指数函数extremevalueheorem极值定理factorial阶乘finiteseries有限级数fund

5、amentaltheoremofcalculus微积分基本定理geometricseries/progression(GP)几何级数gradient梯度 Greenformula格林公式half-angleformulas半角公式harmonicseries调和级数helix螺旋线higherderivative高阶导数horizontalasymptote水平渐近线horizontalline水平线hyperbola双曲线hyperboloid双曲面implicitdifferentiation隐函数求导implicitfun

6、ction隐函数improperintegral广义积分、瑕积分increment增量increasingfunction增函数indefiniteintegral不定积分independentvariable自变数inequality不等式ndeterminateform不定型infinitepoint无穷极限infiniteseries无穷级数infiniteseries无限级数inflectionpoint(POI)拐点initialcondition初始条件instantaneousrateofchange瞬时变化率in

7、tegrable可积的integral积分integrand被积分式integration积分integrationbypart分部积分法intercept截距intermediatevalueofTheorem：中间值定理inversefunction反函数irrationalfunction无理函数iteratedintegral逐次积分Laplacetransform拉普拉斯变换lawofcosines余弦定理leastupperbound最小上界left-handderivative左导数left-handlimit左极

8、限L'Hospital'srule洛必达法则limacon蚶线linearapproximation线性近似法linearequation线性方程式linearfunction线性函数linearity线性linearization线性化localmaximum