文章给出了单调函数、有界变差函数、绝对连续函数的定义并讨论了三者之间的关系。
The paper gives the definitions of monotonic function, bounded variation function and absolute continuous function, and discusses the relationship of the three.
在实际中，粗糙变量不一定是实值，他们的值有可能是连续函数、有界变差函数等等。
In practice, rough variables may not be real number values, and their values may be continuous functions, bounded variation functions and so on.
作为应用，证明了任意有界变差函数都与某可微函数在除过测度任意小的集合外重合。
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.
本文在原有研究结果的基础上，讨论了叙列空间上的弱k级有界变差函数的一致收敛问题，得到了若干有关一致收敛的等价条件。
In this paper, based on -, the uniform convergence of the Kth order weak bounded variation functions on the sequence Spaces were investigated. Some equivalent conditions were also obtained.
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。
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。
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.
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