间断点是指：在非连续函数y=f(x)中某点处xo处有中断现象，那么，xo就称为函数的不连续点。 间断点可以分为无穷间断点和非无穷间断点，在非无穷间断点中，还分可去间断点和跳跃间断点。左右极限存在且相等是可去间断点，左右极限存在且不相等才是跳跃间断点。
... Dirichlet conditions 狄利赫莱条件 Discontinuities 间断点 Eigenfunctions 特征方程 ...
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定义域、间断点、或与且等问题是初等函数经常遇到的问题。
The problems of definition domain, break point, or and even etc often occur in elementary function.
讨论导函数的若干性质：导函数具有介值性、导函数无第一类间断点。
The paper discussed the characters of derivatives that it has the character of intermediate value property and it has no the character of the discontinuity points of the first kind.
一个函数在其定义域上若具有介值性，则其间断点的类型只能是第二类的；
When function has the quality of intermediate value in the defined area, the type of breaking point must be the second kind.
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