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## bounded variation

• [数] 有界变差；[数] 有界变分

### 网络释义专业释义英英释义

[数] 有界变差

[数] 有界变分

de Giorgi 等人 [7 ] 为此提出了 MS 模型的弱形式,并将原模型放宽到 一类称为有界变分( bounded variation ,BV ) BV (Ω) 的函数空间上.

囿变分

... 有界变量算则 bounded variable algorithm 有界变分；囿变分 bounded variation 边缘轮体 bounding cycle ...

空间

...网 Chan在TV模型的基础上，提出一种CTV（Color Total Variation）模型［8］，该模型把图像看成有界变差空间Bounded Variation, BV）中分片连续的函数，对具有重复模式的小尺度细节和噪声均具有较好的修复效果。

uniformly bounded variation [数] 一致有界变差 ; 均匀有界变差

bounded variation mapping [数] 有界变差映射

interval function of bounded variation [数] 有界变差的区间函数

更多收起网络短语
• 有界变差函数 - 引用次数：15

Kth order bounded variation function kth order weak absolute continuous on the sequence space uniform convergence

k级有界变差函数 叙列空间上的k级弱绝对连续函数 一致收敛。

参考来源 - 关于WACK([a，b]，λ)的一个注记 A Note on the WACK([a
有界变分

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#### Bounded variation

• abstract: In mathematical analysis, a function of bounded variation, also known as a BV function, is a real-valued function whose total variation is bounded (finite): the graph of a function having this property is well behaved in a precise sense. For a continuous function of a single variable, being of bounded variation means that the distance along the direction of the y-axis, neglecting the contribution of motion along x-axis, traveled by a point moving along the graph has a finite value.

### 双语例句

• In practice, rough variables may not be real number values, and their values may be continuous functions, bounded variation functions and so on.

实际中粗糙变量不一定他们的值有可能连续函数有界变差函数等等

• 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。

• 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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