通过巧妙地构造辅助数列，应用致密性定理、柯西收敛准则来证明闭区间上连续函数的介值性定理。
We proved the intermediate value theorem for continuous function at closed interval by constructing auxiliary sequence ingeniously and applying compact theorem as well as Cauchy convergence criterion.
利用广义函数的概念构造出热传导方程柯西问题的解。
A solution of Cauchy's problem of heat conduction equation is constructed with the concept of generalized function.
文章研究的是解析函数的等价命题和解析函数及其柯西—黎曼方程在解决物理学中平面场的无源无旋问题中的应用。
This paper discusses several equivalent propositions in analytic function and their application to the nonsource and irrotation problems of plane field in physics.
此方程的柯西问题的格林函数解是一分数稳定分布密度函数。
The solution of this fractional order advection-dispersion equation is fractional stable probability distribution density with four parameters.
介绍了柯西积分概念及定义在区间上的实函数的勒贝格积分概念，并将两者加以比较。
This article represents Cauchy Integral Concept and Lebesgue Integral Concept. It also compares the two concepts.
讨论曲线上柯西型奇异积分利用三次复样条进行近似计算的误差估计，对于相关函数类给出了这类逼近的误差阶。
This paper discusses the estimation of approximation orders of singular integrals over a general curve by means of cubic complex spline.
运用共形映照、解析延拓以及柯西型积分运算等复变函数方法研究无限大平面中楔型向错偶极子与界面裂纹、圆形夹杂的弹性干涉问题。
The interaction among a screw dislocation, circular inclusion and interface crack or elliptical inclusion and interface crack under remote uniform heat flux is mainly researched in this paper.
运用共形映照、解析延拓以及柯西型积分运算等复变函数方法研究无限大平面中楔型向错偶极子与界面裂纹、圆形夹杂的弹性干涉问题。
The interaction among a screw dislocation, circular inclusion and interface crack or elliptical inclusion and interface crack under remote uniform heat flux is mainly researched in this paper.
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