bounded function

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

推论1常数与无穷小的乘积是无穷小.

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Theorem 1 and are equivalent infinitesimals if and only if. Theorem 2 The product of a bounded function and an infinitesimal is an infinitesimal.

定理1与是等阶无穷小的充分必要条件为。

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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.

图像的卡通部分是由一个有界变差（BV）函数来刻画，相应的将BV罚项合并到变分泛函中需要解偏微分方程。

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

定理2有界函数与无穷小的乘积是无穷小.

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A property of bounded variation function with its application

有界变差函数的一个性质及应用

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His paper studies the degree of approximation of bounded function with discontinuity of the first kind and functions of bounded variation of order p by Meyer Konig Zeller operators Mn ( f, x). The result of [ 1] is extended and improved.

本文研究Meyer Konig Zeller算子Mn（f，x），对有界函数和p阶有界交差函数在第一类间断点的逼近度，推广和改进了文〔1〕的结果。

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Does Monotone Locally Bounded Function Definitely Have Extreme?

“单调有界函数必有极限” 吗 ?

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Pointwise convergence has no completeness in bounded function space B ( I).

有界函数空间B（I）中的点态收敛不具备完备性。

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Based on the UUB ( uniformly ultimately bounded) theory and a quadratic Lyapunov function, this paper provides a methodology to analyze the influence of parameter uncertainties on transient stability under the classical model with uniform damping coefficients.

该文基于UUB（一致最终有界）定理，提出一种利用二次型的Lyapunov函数分析多机均匀阻尼经典模型中参数不确定性对暂态稳定影响的解析方法。

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Because there is no GRIP function which can scan along the special curve, so the method of suturing the free surface with the bounded-plane is applied to solve this kind of sweep problem.

因没有沿空间曲线扫描的GRIP函数可供使用，故采用缝合自由曲面与有界平面的方法来解决这个问题。举例介绍了算法的实现。

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