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.
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.
本文给出了几类常见函数间断点及一般实函数第一类间断点的某些特性，并指出它们在实际问题中的应用。
This paper gives some properties of several special function discontinuity point and the first kind discontinuity point of ordinary real function. and points out their ap-plicaion in actual problems.
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.
讨论单个凸守恒律初边值问题的粘性消失法的整体误差估计 ，其中初始值和边界值分别是递减和递增的具有有限个间断点的分段常数函数 。
This paper is concerned with an initial-boundary problem of nonconvex scalar conservation laws with two pieces of constant initial data and constant boundary data.
讨论单个凸守恒律初边值问题的粘性消失法的整体误差估计 ，其中初始值和边界值分别是递减和递增的具有有限个间断点的分段常数函数 。
This paper is concerned with an initial-boundary problem of nonconvex scalar conservation laws with two pieces of constant initial data and constant boundary data.
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