微积分专有名词中英文对照

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averagerateofchange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(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directionalderivative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fundamentaltheoremofcalculus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implicitfunction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integrable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极大值localminimum极小值logarithmicfunction对数函数MacLaurinseries麦克劳林级数maximum最大值meanvaluetheorem(MVT)中值定理minimum最小值methodoflagrangemultipliers拉格朗日乘数法modulus绝对值multipleintegral多重积分multiple倍数multiplier乘子octant卦限openintervalintegral开区间积分optimization优化法，极值法origin原点orthogonal正交parametricequation(BC)参数方程partialderivative偏导数partialdifferentialequation偏微分方程partialfractions部分分式piece-wisefunction分段函数parabola抛物线paraboliccylinder抛物柱面paraboloid：抛物面parallelepiped平行六面体parallellines并行线parameter：参数partialintegration部分积分partiton：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point-slopeform点斜式polaraxis极轴polarcoordinates极坐标polarequation极坐标方程pole极点polynomial多项式powerseries幂级数productrule积的求导法则quadrant象限quadraticfunctions二次函数quotientrule商的求导法则radical根式radiusofconvergence收敛半径range值域(related)rateofchangewithtime(时间)变化率rationalfunction有理函数reciprocal倒数remaindertheorem余数定理Riemannsum黎曼和Riemanniangeometry黎曼几何right-handlimit右极限Rolle'stheorem罗尔(中值)定理root根rotation旋转secantline割线secondderivative二阶导数secondderivativetest二阶导数试验法secondpartialderivative二阶偏导数series级数shellmethod(积分)圆筒法sinefunction正弦函数singularity奇点slant母线slantasymptote斜渐近线slope斜率slope-interceptequationofaline直线的斜截式smoothcurve平滑曲线smoothsurface平滑曲面solidofrevolution旋转体symmetry对称性substitution代入法、变量代换tangentfunction正切函数tangentline切线tangentplane切(平)面tangentvector切矢量taylor'sseries泰勒级数three-dimensionalanalyticgeometry空间解析几何totaldifferentiation全微分trapezoidrule梯形(积分)法则