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

1、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trigonometricfunc

2、tion: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

3、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:rad

4、iusofconvergence: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:

5、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: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partialderivative:偏导数partialdifferentialequation:偏微分方程partialfractions:部分分式partialintegration:部分积分partiton:分割

6、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

7、: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ordi

8、narydifferentialequation: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lhospitalsrule: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lin

9、earity: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increa

10、singfunction: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inte

11、rval: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firstde

12、rivativetest: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

13、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

14、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discontinu

15、ity: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cauchsmeanvaluetheorem:柯西均值定理chainrule:连锁律changeof

16、variables: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con

17、tinuousfunction: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:余弦函数criticalpoint:临界点cubicfunction:三次函数curve:曲线cylinder:圆柱cylindr

18、icalcoordinates:圆柱坐标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:反导数approximateintegration:近似积分approximation:逼近法bydifferentials:用微分逼近linear:线性逼近法bysimpsonsrule:simpson法则逼近法bythetrapezoidalrule:梯形法则逼近法arbitraryconstant:任意常数arclength:弧长are