中英文对照表.docx
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中英文对照表
中英文对照表（按笔画排列）
一画
一一映射onetoonemapping
一阶（全）微分形式不变性（total）differentialforminvarianceoffirstorder
一致连续性uniformcontinuity
一致连续（的）uniformlycontinuous
一致连续性定理uniformcontinuitytheorem
一致收敛uniformconvergenee
一致收敛的uniformlyconvergent
一致收敛函数序歹Uuniformlyconvergentsequeneeoffunctions
一致有界的uniformlybounded
一致有界原理uniformboundednessprinciple
一致有界定理uniformboundednesstheorem
一致有界函数序歹Uuniformlyboundedsequeneeoffunctions
一致有界级数uniformlyboundedseries
一致有界集uniformlyboundedset
二画
二元函数binaryfunction
二阶导数secondderivative
二重极限doublelimit
几何级数geometricseries
二画
三角函数trigonometricfunction三角函数表trigonometrictable三角不等式triangleinequality三角级数trigonometricseries下极限lowerlimit;inferiorlimit下禾口lowersum下限lowerlimit；loweredge下界lowerbound下类lowerclass下积分lowerintegral下确界infimum;greatestlowerbound上极限upperlimit;superiorlimit上禾口uppersum上限upperlimit;upperedge上界upperbound上类upperclass上积分upperintegral上确界supremum;leastupperbound子集subset子序列subsequenee
四画
开区间openinterval开覆盖opencover开集openset开域opendomain;openregion无穷大infinitelygreat;infinity无穷大的阶orderofinfinity无穷大量infinitelylargequantity无穷小infinitesimal无穷小的阶orderofinfinitesimals无穷小等价infinitesimalsequivalenee无穷小数歹Uinfinitesimalsequeneeofnumber无穷限反常积分infinitelimitimproperintegral无穷积分infiniteintegral无穷级数infiniteseries无限开覆盖infiniteopencover无限区间infiniteinterval无限区域infiniteregion无限维的infinitedimensional无界函数unboundedfunetion无界集unboundedset无理数irrationalnumber不可导underivativity不连续点discontinuouspoint;pointofdiscontinuity不定积分indefiniteintegral不定式indeterminateexpression不动点原理fixedpointprinciple区间interval
区间套nestedintervals
区间套定理nestedintervalstheorem
比较原贝Ucomparisonprinciple
比较法relativemethod
切线方程tangentialequation
中间变量intermediatevariable
中值公式meanvalueformula
中值定理meanvaluetheorem
内函数interiorfunction
内点interiorpoint
内咅Binterior
牛顿-莱布尼茨公式Newton-Leibnizformula
牛顿切线法Newtontangentsmethod
反三角函数anti-trigonometricfunction;inversetrigonometricfunction;inversecircular
function
反函数inversefunction
反函数定理inversefunctiontheorem
反常积分improperintegral
介值性定理intermediatevaluetheorem;locationprinciple
分戈Upartition
分段连续性piecewisecontinuity
分段连续函数piecewisecontinuousfunction
分段函数piecewisefunction
分部积分法integrationbyparts
分部求和公式summationbypartsformula
分割subdividing;segmentation;excision;section
分量函数componentfunction
区域region;domain切平面tangentplane
切点pointofcontact;pointoftangency
双曲抛物面hyperbolicparaboloid双纽线lemniscate
双侧曲面twosidedsurface
方向导数directionalderivative
方邻域squareneighborhood
贝塞尔不等式Besselinequality
贝塔函数!
：
■■-function
五画
正无穷大plusinfinity
可去间断点removablediscontinuouspoint
可求长的rectifiable
可求长性rectifiability
可求积性squarability
可导derivable
可积integrable
可微differentiable
可微函数differentiablefunction
左导数leftderivative
左邻域leftneighborhood
左极限leftlimit;limitontheleft
左连续leftcontinuous;continuousontheleft
右导数rightderivative
右邻域rightneighborhood
右极限rightlimit;limitontheright
右连续rightcontinuous;continuousontheright
凸函数convexfunction
凸区域convexregion
归结原贝Uresolutionprinciple
凹函数concavefunction
凹区域concaveregion
夕卜积outerproduct
夕卜函数outerfunction
夕卜点outerpoint
夕卜微分exteriordifferentiation
半开半闭区间halfopenhalfclosedinterval
发散divergenee
对数求导法logarithmderivationmethod
对数函数logarithmicfunction
对数螺线logarithmicspiral
平面点歹Uplanepointrange
平面点集planepointset
正交orthogonal
正交函数系systemoforthogonalfunctions
正弦级数sineseries
正项级数positivetermseries
右手法则right-handrule
边界boundary
发散divergenee
六画
有上界函数upperboundedfunction
有下界函数lowerboundfunction
有限开覆盖finiteopencover
有限维的finitedimensional
有限区间finiteinterval
有限增量公式finiteincrementformula
有限覆盖定理finitecovertheorem
有界函数boundedfunction
有界点集boundedsetofpoints
有界集boundedset
有界数歹Uboundednumbersequenee
有理函数rationalfunction
有理数rational有势场potentialfield
存在域domainofexistenee
达布下禾口Darbouxlowersum
达布上禾口Darbouxuppersum
达布禾口Darbouxsum
光滑曲线smoothcurve
曲边梯形curvedtrapezoid
曲率curvature
曲率半径radiusofcurvature
曲率圆circleofcurvature
曲率形式curvatureform
曲线的曲率curvatureofacurve
曲率张量curvaturetensor
曲率向量curvaturevector
曲顶柱体curvedcylinder
同阶无穷大量infinitelylargequantityofthesameorder
同阶无穷小量infinitesimalsquantityofthesameorder因变量dependentvariable
自变量independentvariable
自变量增量incrementofindependentvariable
全序totalorder
负无穷大minusinfinity
闭区间closedinterval
闭区间套nestedclosedintervals
闭域closedregion;closeddomain
闭集closedset
导函数derivedfunction
导数derivative
导数极限定理limitofderivativetheorem
收敛converge
收敛区间convergeneeinterval;intervalofconvergenee
收敛半径convergeneeradius
收敛准贝Uconvergeneecriterion
收敛点pointofconvergenee
收敛域convergeneedomain;convergeneeregion
向量vector
向量场vectorfield
向量函数vectorfunction
交错级数alternatingseries
压缩映射原理contractingmappingprinciple
全微分totaldifferential
全微分方程totaldifferentialequation;exactdifferentialequation
全增量totalincrement
优级数majorizingseries
优级数判另U法majorizingseriesdiscriminance
达朗贝尔判别法D'Alembert'sratiotest
七画
麦克劳林公式Maclaurinformula
严格凸函数strictlyconvexfunction
严格凹函数strictlyconcavefunction
严格单调函数strictlymonotonicfunction
极大值maximumvalue
极小值minimumvalue
极值extremevalue
极值点extremepoint
极坐标变换polarcoordinatestransformation
极限limit
连续continuous
连续函数continuousfunction
连通性connectivity;connectedness
连续可微性continuousdifferentiability
抛物线法parabolaformula
令邻域neighborhood
狄利克雷判别法Dirichletprinciple;Dirichletcriterion狄利克雷函数Dirichletfunction
条件收敛conditionalconvergenee
条件极值extremumwithacondition
间断点discontinuouspoint
初始条件initialcondition
初等函数elementaryfunction
局部有界性localboundedness
局部保号性localsign-preserving
局部利普希茨条件localLipschitzcondition
阿基米德有序域Archimedicallyorderedfield
阿基米德性Archimedean
余项remainderterm
余弦函数cosinefunction
余集complementaryset
含参量积分integralwithparameter
含参量反常积分improperintegralwithparameter阿贝尔引理Abellemma阿贝尔判别法Abelcriterion阿贝尔定理Abeltheorem阿贝尔变换Abeltransformation
八画
奇函数oddfunction
偶函数evenfunction
拐点inflectionpoint;pointofinflection
拉格朗日公式Lagrangeformula
拉格朗日余项Lagrangeremainderterm;Lagrangeresidualterm
拉格朗日乘数法Lagrangemultiplicatormethod
拉格朗日函数Lagrangefunction
拉贝判别法Raabecriterion
非正常下确界improperinfimum
非正常上确界impropersupremum
非正常极限improperlimit
垂直渐近线verticalasymptote
周期函数periodicfunction
周期曲线periodiccurves
变下限的定积分definiteintegralofvariablelowerlimit
变上限的定积分definiteintegralofvariableupperlimit
变化率rateofchange
变换transformation
单侧导数onesidedderivative
单侧极限onesidedlimit
单侧曲面onesidedsurface
单值对应singlevaluedcorrespondence
单值函数singlevaluedfunction
单调有界定理monotonicboundedtheorem单调函数monotonicfunction单调数歹Umonotonicnumbersequenee单连通区域simplyconnectedregion单射injectivemapping
定义域domain
定积分definiteintegral
直积directproduct
直径diameter
函数行列式functionaldeterminant;jacobian位势函数potentialfunction
法平面normalplane
法线normalline
孤立点isolatedpoint
纟田度fineness
空心邻域hollowneighborhood
禾口函数summablefunction
欧拉公式Eulerformula
欧拉积分Eulerintegral
九画弧长lengthofarc
弧微分arcdifferential
柯西中值定理Cauchymeanvaluetheorem;meanvaluetheoremofCauchy柯西判别法Cauchyattribute
柯西准则Cauchycriterion
指数函数exponentialfunction
映射mapping
矩形法rectanglemethod
复合函数compositefunction
复连通区域complexconnectedregion
待定系数法undeterminedcoefficientmethod
差商differeneequotient
逆映射inversemapping
逆变换inversetransformation
面积area
面积元素elementofarea
绝对收敛absoluteconvergenee
绝对值absolutevalue
柱面坐标变换cylindercoordinatestransformation
显函数explicitfunction
泰勒公式Taylorformula
泰勒级数Taylorseries
泰勒展开式Taylorexpansion
界点boundarypoint
十画
费马定理Fermattheorem
根的存在定理existeneetheoremofroot
原函数primitivefunction
原像preimage;primaryimage
振幅amplitude
换元积分法integrationbysubstitution
致密性定理compactnesstheorem
积分区间integralinterval
积分曲线integralcurve
积分禾口integralsum
积分变量integralvariable
积分型余项integralresidualterm
积分常数integrationconstant
积分中值定理integralmeanvaluetheorem
值域range
高阶无穷小量infinitesimalsquantityofthehigherorder
高阶导数higherorderderivative
高阶微分higherorderdifferential
递增数歹Uincreasingnumbersequenee
递减数歹Udecreasingnumbersequenee
被积函数integrand
高斯公式Gaussformula
调禾口harmonic
调和级数harmonicseries
部分和partialsum
咅B分和序歹Usequeneeofpartialsums
咅B分和函数歹Ufunctionsequeneeofpartialsums
逐项微分differentiationtermbyterm
逐项积分integrationtermbyterm
逐项地intermsbyterms
通项generalterm
通项公式theformulaofgeneralterm
圆邻域circularneighborhood
格林公式Greentheorem
根式判另U法radicalcriterion
十一画
基本初等函数fundamentalelementaryfunction基本周期fundamentalperiod
梯形法trapezoidalrule
常量函数constantfunction
符号函数signfunctional
斜渐近线obliqueasymptote
渐近线asymptote
减函数decreasingfunction
像image
偏导函数partialderivative
偏导数partialderivative
偏增量partialincrement
隐函数implicitfunction
隐函数定理implicitfunctiontheorem
隐函数的存在性定理existeneetheoremofimplicitfunction
混合偏导数mixedpartialderivative
球坐标变换sphericalcoordinatestransformation
梯度gradient
累次极限repeatedlimit
累次积分repeatedintegral
距离distanee
十二画
最大（小）值定理maximum（minimum）valuetheorem
链式法则chainrule
幕函数powerfunction
超平面hyperplane
傅里叶系数Fouriercoefficient
等价无穷小量equivalentinfinitesimalsquantity
等比级数geometricseries
等值面contoursurface
等值矩阵contourmatrix
散度divergenee
斯托克斯公式Stokesformula
雅可比行列式Jacobideterminant
雅可比矩阵Jac
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