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1、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uniformconvergence一致收敛的uniformlyconvergent一致收敛函数序列uniformlyconvergentsequenceoffunctions一致有界的uniform

2、lybounded一致有界原理uniformboundednessprinciple一致有界定理uniformboundednesstheorem一致有界函数序列uniformlyboundedsequenceoffunctions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三画三角函数trigonometricfunction三角函数表

3、trigonometrictable三角不等式triangleinequality三角级数trigonometricseries下极限lowerlimit；inferiorlimit下和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上和uppersum上限upperlimit；upperedge上界upperbound上类upperclas

4、s上积分upperintegral上确界supremum；leastupperbound子集subset子序列subsequence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infinitesimalsequivalence无

5、穷小数列infinitesimalsequenceofnumber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unboundedfunction无界集unboundedset无理数irrationalnumber不可导underivativity不连续点disconti

6、nuouspoint;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比较原则comparisonprinciple比较法relativemethod切线方程tangentialequation中间变量intermediatevariable中值公式meanvalueformula中值定理meanva

7、luetheorem内函数interiorfunction内点interiorpoint内部interior牛顿-莱布尼茨公式Newton-Leibnizformula牛顿切线法Newtontangentsmethod反三角函数anti-trigonometricfunction;inversetrigonometricfunction;inversecircularfunction反函数inversefunction反函数定理inversefunctiontheorem反常积分improperintegral介值性定理intermediat

8、evaluetheorem;locationprinciple分划partition分段连续性piecewisecontinuity分段连续函数piecewisec