高数名词中英对照表

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V、X、Z:Valueoffunction:函数值Variable:变数Vector:向量Velocity:速度Verticalasymptote:垂直渐近线Volume:体积X-axis:x轴x-coordinate:x坐标x-intercept:x截距Zerovector:函数的零点Zerosofapolynomial:多项式的零点T:Tangentfunction:正切函数Tangentline:切线Tangentplane:切平面Tangentvector:切向量Totaldifferential:全微分Trigonometricfunction:三角函数Trigonometricintegrals:三角积分Trigonometricsubstitutions:三角代换法Tripeintegrals:三重积分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:级数Set:集合Shellmethod:剥壳法Sinefunction:正弦函数Singularity:奇点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Space:空间Speed:速率Sphericalcoordinates:球面坐标SqueezeTheorem:夹挤定理Stepfunction:阶梯函数Strictlydecreasing:严格递减Strictlyincreasing:严格递增Sum:和Surface:曲面Surfaceintegral:面积分Surfaceofrevolution:旋转曲面Symmetry:对称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Riemanniangeometry:黎曼几何Right-handderivative:右导数Right-handlimit:右极限Root:根P、Q:Parabola:拋物线Paraboliccylinder:抛物柱面Paraboloid:抛物面Parallelepiped:平行六面体Parallellines:并行线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L:Laplacetransform:Leplace变换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Lobachevskigeometry罗巴切夫斯基几何Localextremum:局部极值Localmaximumandminimum局部极大值与极小值Logarithm:对数Logarithmicfunction:对数函数I:Implicitdifferentiation:隐求导法Implicitfunction:隐函数Improperintegral:瑕积分Increasing/DecreasingTest递增或递减试验法Increment:增量IncreasingFunction:增函数Indefiniteintegral:不定积分Independentvariable:自变数Indeterminatefrom:不定型Inequality:不等式Infinitepoint:无穷极限Infiniteseries:无穷级数Inflectionpoint:反曲点Instantaneousvelocity:瞬时速度Integer:整数Integral:积分Integrand:被积分式Integration:积分Integrationbypart:分部积分法Intercepts:截距IntermediatevalueofTheorem中间值定理Interval:区间Inversefunction:反函数Inversetrigonometricfunction反三角函数Iteratedintegral:逐次积分H:Highermathematics高等数学/高数E、F、G、H: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柯西均值定理ChainRule:连锁律Changeofvariables:变数变换Circle:圆Circularcylinder:圆柱Closedinterval:封闭区间Coefficient:系数Compositionoffunction:函数之合成Compoundinterest:复利Concavity:凹性Conchoid:蚌线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Coordinate:s: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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