uniform convergence
一致收敛:在数学分析中
常用释义
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基本释义
- 一致收敛:在数学分析中,一种函数序列的收敛性质,指函数序列中的每个函数与极限函数之间的差距在整个定义域内都趋于零。
例句
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1·Then uniform convergence analysis is carried out for the proposed algorithm.并对提出的算法做了一致收敛性分析。
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2·Finally, out of uniform convergence of function and function of the nature of class.最后讨论了一致收敛函数列与函数项级的性质。
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3·More importantly, this method also leads to uniform convergence for layer-adapted meshes.另外,对于局部加密网格,该方法具有一致收敛性。
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4·Through Weierstrass circle of students the importance of uniform convergence was made known.通过威阿斯·塔斯周围的学生,人们知道了一致收敛性的重要性。
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5·Several theorems about non-uniform convergence and a few examples were used to explain the application of them.本文给出了非一致收敛的几个定理 ,并以较多的实例说明它们的应用。
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6·The author also studies the relationship between internally closed uniform bound and internally closed uniform convergence.在论证过程中充分利用了解析函数的性质,系统推导了内闭一致有界与内闭一致收敛的关系。
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7·The second part is in uniform convergence conditions function series, function and parameter improper integral. We properties.第二部分是在一致收敛条件下函数列、函数项级数以及含参量反常积分的性质。
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8·A method for making polynomial train is given, and the uniform convergence of the train is proved by means of analysis method.给出了构造多项式序列的一种方法,并采用分析的方法证明该序列的一致收敛性。
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9·Continuity, uniform continuity, uniform convergence and equicontinuity are very important qualities of functions or sequence of functions.连续、一致连续、一致收敛和等度连续是函数或函数列非常重要的性质。
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10·To make sure under what circumstances everywhere converge can be converted into uniform convergence, a typical counter-case has to be analysed.在分析数学中一致收敛的重要性及几乎处处收敛不一定能够一致收敛。