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• Theorem 2 The product of a bounded function and an infinitesimal is an infinitesimal.

推论1常数无穷小乘积无穷小。

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• Try relaxing the value of each bounded constraint one at a time, solve the modified problem, and see what happens to the optimal value of the objective function.

尝试放松每个边界约束个单位，解决修改后问题看一下目标函数优化发生什么变化。

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• A bounded constraint prevents the objective function from reaching a better value.

边界约束阻碍目标函数达到更为优化的值。

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• The local robustness is described by the bounded Influence Function.

影响函数来描述估计量的局部稳健性

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• The cartoon component of an image is modeled by a bounded variation (BV) function; the corresponding incorporation of BV penalty terms in the variational functional leads to solve PDE equations.

图像卡通部分一个有界差(BV)函数来刻画，相应的将BV合并变分函中需要解偏微分方程。

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• The paper gives the definitions of monotonic function, bounded variation function and absolute continuous function, and discusses the relationship of the three.

文章给出了单调函数有界变差函数、绝对连续函数定义讨论了三者之间的关系

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• Fan J and Gijbels I gave the asymptotic normality of local polynomial regression estimation in dependent time series, where the weighted function is bounded.

对相依时间序列数据，一定条件下已有人证明了局部多项式加权回归系数估计服从渐近正态分布其中函数有界的。

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• This paper tries to define metric function for homeomorphic mapping, and a sufficient condition of bounded metric function is given, under which a upper bound of metric function is defined as well.

对于同胚映射本文给出度量函数定义并且给出了度量函数有界的一个充分条件及在此充分条件下度量函数的一个上界

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• It is also proved as application that any bounded variation function can be seen as a differentiable function beside a set of arbitrary small measure.

作为应用证明任意有界变差函数可微函数在除测度任意集合外重合。

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• The Green's function for the Poisson equation in the domains bounded by two intersecting spheres with Dirichlet boundary conditions is presented.

给出狄利克雷边界条件下两个相交球面区域泊松方程格林函数

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• In this paper, we present an edge selection function for solving the delay bounded multicast problem.

篇论文中，我们提出一个链路选择函数用于解决时延约束组播问题

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• The model fully illustrated the stochastic characteristic of WMN with the property that the input-output relation and sum functions of this model were bounded by a min-plus convolution function.

该流量模型特征求和函数及其输入输出函数边界函数均受限于一个最小加卷积函数。

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• This research furthers a more general error distribution, which is P-norm distribution, and derives its bounded distribution function and variance.

在此基础上，本文进一步导出了P -分布有界分布及其方差表达式

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• This research furthers a more general error distribution, which is P-norm distribution, and derives its bounded distribution function and variance.

在此基础上，本文进一步导出了P -分布有界分布及其方差表达式

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