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.
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