有界变差函数

词组短语

function of bounded variation

与有界变差函数相关的网络例句 [注：此内容来源于网络，仅供参考]

The definition of the absolute value for a fuzzy number is obtained.Furthermore,a lot ofproblems,such as absolute integrability,bounded variation and absolute continuity,arepresented and discussed.The representation theorem of the absolute values of fuzzy num-bers is established.It plays an important role in discussing the problems conceming theabsolute value.The relation between the absolute integrability and integrabili-ty is discussed,and the following result is obtained:aintegrable fuzzy-number-valued function is absolutely integrable iff it is integrable.The relation between theabsolute integrability and the absolute continuity of the primitive for fuzzy-number-valuedfunctions is dealt with.It is also pointed out that a fuzzy number valued function is ab-solutelyintegrable if and only if its integral primitive is fuzzy absolutely continuous.

提出了模糊数绝对值的概念并讨论了与绝对值相关的一系列问题，如绝对可积性、有界变差性、绝对连续性等，给出了模糊数绝对值的定义以及表示定理，该表示定理在涉及绝对值问题的讨论中起非常重要的作用；讨论了绝对可积与可积之间的关系，得到了结论：可积的模糊数值函数绝对可积的充要条件是该模糊数值函数可积；给出了模糊数值函数绝对可积与其积分原函数绝对连续性之间的关系，指出模糊数值函数绝对可积的充要条件是其原函数模糊绝对连续。

Firstly, the Voronovskaja type formula of asymptotic expansion of this kind of operators is given. Then the approximation of the bounded variation functions by the kinds of operators is discussed.

第一节给出该算子的Voronovskaja型渐近展开公式；第二节讨论该算子对有界变差函数的逼近。

At present, the investigations for the properties of these operators are only limited to the functions of bounded variation.

目前， 关于这类和积分混合型算子的逼近性质仅限于对有界变差函数逼近方面的研究。

A discussion is made of the continuously sufficient and necessary conditions of the bounded variation fon the closed interval in the paper.

讨论了有界变差数 f在闭区间上连续的充要条件以及函数 f在闭区间上有有界变差的充要条件。

In chapter 2, we define the abstract periodic three level bounded variation functions with range in a Banach space ?

其中第二章定义并研究了实Banach空间取值的抽象三级周期有界变差函数用抽象系数三角多项式逼近的性质。

In this paper, we study the rate of convergence of Durrmeyer-Bézier Operaters for functions of bounded variation f and obtain a accurate estimation of coefficient. Our result improves the result of Zeng by making use of probable property of basic functions.

在Zeng等人对有界变差函数f的Durrmeyer-Bézier算子在区间(0，1)上收敛于 1/(a+1f+a/(a+1f 的收敛阶进行研究的基础上，利用基函数的概率性质等方法，对其所给的Durrmeyer-Bézier算子收敛阶估计结果作进一步的改进，得到其收敛阶的精确估计。

The cartoon component of an image is modeled by a bounded variation 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。

By getting Lebesgue characteristic of integrable function of Riemann from the definition of Gather zero measure, discussing the relation between almost continuous everywhere and existent of limit, it gets the theory which is from the function integrability to the consecution and from consecution to the limit existence .i.e. the almost limit existence is equal to the almost continuous everywhere in the integrable function of Riemann. It also gets a unified condition which has a wider range than regulated function and comes to the conclusion that the function of bounded variation is the integrable function of Riemann.

通过定义零测度集给出了可积函数的特征，讨论了其几乎处处连续与极限存在的关系，从而得到了从函数可积性到连续性，从连续性到极限存在性的函数特性理论，即可积函数中极限的几乎处处存在与几乎处处连续是等价的，得出比正规函数更加宽泛的统一条件，得出了有界变差函数是可积函数的结论。

Keywords Biomedical imaging;The class of Special functions of Bounded Variation;Level set methods;Mumford–Shah functional;Minimal partition problem;Diagnostics of glaucoma diseases;Segmentation and measurement

生物医学图像处理；特殊有界变差函数空间理论；水平集方法； Mumford-Shah泛函模型；最小分割问题；青光眼诊断；视乳头图像分割与度量；卫星雷达干涉图相位解缠

By getting Lebesgue characteristic of integrable function of Riemann from the definition of gather zero measure, it discusses the relation between almost continuous everywhere and existent of limit, and gets that the almost continuous everywhere is equal to the almost limit existence everywhere in the integrable function of Riemann.

通过定义零测度集给出了可积函数的特征，讨论了其几乎处处连续与极限存在的关系，即可积函数中几乎处处连续与极限的几乎处处存在是等价的，得出了比正规函数更加广泛的统一条件，得出了有界变差函数是可积函数的结论。

与有界变差函数相关的网络解释 [注：此内容来源于网络，仅供参考]

uniformly bounded variation：一致有界变差

uniformly better decision function 一致较好决策函数 | uniformly bounded variation 一致有界变差 | uniformly boundness 一致有界

function of bounded variation：有界变差函数

function field 函数域 | function of bounded variation 有界变差函数 | function of class 类函数

singular function of bounded variation：有界变差奇异函数

singular function 奇异函数 | singular function of bounded variation 有界变差奇异函数 | singular graph 奇异图

interval function of bounded variation：有界变差分的区间函数

区间函数 interval function | 有界变差分的区间函数 interval function of bounded variation | 区间分半法 interval halving

function of class：类函数

function of bounded variation 有界变差函数 | function of class 类函数 | function of complex variable 复变函数

function field：函数域

function continuous on the right 右连续函数 | function field 函数域 | function of bounded variation 有界变差函数

function of a complex variable：单变复变函数;单变量复变函数

操作字码;操作字母 function letter | 单变复变函数;单变量复变函数 function of a complex variable | 有界变差函数 function of bounded variation

radon：拉东

而且引入了可数可加集合函数的概念(定义于勒贝格可测集类上),指出这些函数是定义在集合类上的有界变差函数.正是因为对于有界变差与可加性概念之间联系的考察,使得J.拉东(Radon)作出了更广的积分定义,

singular graph：奇异图

singular function of bounded variation 有界变差奇异函数 | singular graph 奇异图 | singular homology 奇异下同调

uniformly bounded：均匀有界

解析函数的单值化 uniformization of analytic function | 均匀有界 uniformly bounded | 均匀有界变差(分) uniformly bounded variation