中英文对照表按笔画排列教学内容

中英文对照表（按笔画排列）

一画

一一映射one to one mapping

一阶（全）微分形式不变性（total）differential form invariance of first order 一致连续性uniform continuity

一致连续（的）uniformly continuous

一致连续性定理uniform continuity theorem

一致收敛uniform convergence

一致收敛的uniformly convergent

一致收敛函数序列uniformly convergent sequence of functions

一致有界的uniformly bounded

一致有界原理uniform boundedness principle

一致有界定理uniform boundedness theorem

一致有界函数序列uniformly bounded sequence of functions

一致有界级数uniformly bounded series

一致有界集uniformly bounded set

二画

二元函数binary function

二阶导数second derivative

二重极限double limit

几何级数geometric series

三画

三角函数trigonometric function

三角函数表trigonometric table

三角不等式triangle inequality

三角级数trigonometric series

下极限lower limit；inferior limit

下和lower sum

下限lower limit；lower edge

下界lower bound

下类lower class

下积分lower integral

下确界infimum；greatest lower bound

上极限upper limit；superior limit

上和upper sum

上限upper limit；upper edge

上界upper bound

上类upper class

上积分upper integral

上确界supremum；least upper bound

子集subset

子序列subsequence

四画

开区间open interval

开覆盖open cover

开集open set

开域open domain; open region

无穷大infinitely great; infinity

无穷大的阶order of infinity

无穷大量infinitely large quantity

无穷小infinitesimal

无穷小的阶order of infinitesimals

无穷小等价infinitesimals equivalence

无穷小数列infinitesimal sequence of number

无穷限反常积分infinite limit improper integral

无穷积分infinite integral

无穷级数infinite series

无限开覆盖infinite open cover

无限区间infinite interval

无限区域infinite region

无限维的infinite dimensional

无界函数unbounded function

无界集unbounded set

无理数irrational number

不可导underivativity

不连续点discontinuous point; point of discontinuity 不定积分indefinite integral

不定式indeterminate expression

不动点原理fixed point principle

区间interval

区间套nested intervals

区间套定理nested intervals theorem

比较原则comparison principle

比较法relative method

切线方程tangential equation

中间变量intermediate variable

中值公式mean value formula

中值定理mean value theorem

内函数interior function

内点interior point

内部interior

牛顿-莱布尼茨公式Newton-Leibniz formula

牛顿切线法Newton tangents method

反三角函数anti-trigonometric function; inverse trigonometric function; inverse circular function

反函数inverse function

反函数定理inverse function theorem

反常积分improper integral

介值性定理intermediate value theorem; location principle

分划partition

分段连续性piecewise continuity

分段连续函数piecewise continuous function

分段函数piecewise function

分部积分法integration by parts

分部求和公式summation by parts formula

分割subdividing; segmentation; excision; section

分量函数component function

区域region; domain