monotone class 中文意思是什麼
monotone class
解釋
單掂-
The paper does some discussions on the characteristic which the bounded variation sequence has. ft is found that the monotone sequence is colsely related to it, and very similar with the bounded variation functions, and reach the conclusion as follows : the class of bounded sequence ? the class of convergencal sequence ? the bounded variation sequence ? the hounded monotone sequence
本文主要對囿變數列的特徵作一些探討，我們發現；它與單調數列關系密切，而且與有界變差函數十分類似，並得出如下關系；有界數列類?收斂數列類?囿變數列?單調有界數列。 -
The main content of this dissertation is as follows : this dissertation introduces in details the basic conditions that bipartite entanglement measure should satisfy and the five entanglement measure, von neumann entropy, formation of entanglement, distillation of entanglement, relative entropy of entanglement and entanglement monotone. this dissertation presents that for a class of states, their relative entropy can be calculated analytically
主要內容包括：詳細闡述了兩體糾纏度量須滿足的基本條件，以及五種基本糾纏度量： vonneumann熵、結構糾纏、提取糾纏、相對熵糾纏和糾纏單調，給出了一類態相對熵糾纏的解析計算公式。 -
Some new monotone class theorems
一類新的單調類定理 -
Using conception of relative rate of change, a definition of probability density function is given based on the class of differentiable monotone function which is bounded on domain of definition, calculation and properties of the mathematical expectation are discussed
摘要對一類單調可微的有界函數，利用相對變化率的概念，定義了一種由該函數生成的概率密度函數。 -
In this paper, we introduce and study a new class of generalized nonlinear fuzzy quasi - variational - like inclusions involving maximal - monotone mappings
引入並研究一類新的含-極大單調映象的廣義非線性模糊擬似變分包含。 -
We also discuss the convergence and stability of perturbed iterative algorithm for solving a class of generalized nonlinear quasi - variational - like inclusions involving maximal - monotone mappings
我們還討論了求解一類含-極大單調映象的廣義非線性擬似變分包含的擾動迭代演算法的收斂性和穩定性。 -
Section 4 is devoted to give some new iterative algorithms with errors. with some noncompact constraint qualifications, we prove the existence of solution for the generalized nonlinear fuzzy quasi - variational - like inclusions involving maximal - monotone mappings and the convergence of iterative sequences generated by the iterative algorithms. in the last, we discuss the convergence and stability of perturbed iterative algorithm for solving a class of generalized nonlinear quasi - variational - like inclusions involving maximal - monotone mappings
第四部分，首先給出一些新的含誤差的迭代演算法，然後證明這類含-極大單調映象的廣義非線性模糊擬似變分包含在非緊條件下的解的存在性和由此類迭代演算法產生的迭代序列的收斂性；第五部分，我們討論了求解一類含-極大單調映象的廣義非線性擬似變分包含的擾動迭代演算法的收斂性和穩定性。 -
In this paper, these two methods are employed to consider three kinds of singular perturbation boundary value problems. in the first section, the existence of solution for a class of non - linear systems with three - point boundary problem is obtained by applying the differential inequality theory. in the second section, we use the differential inequality theory to discuss the non - monotone interior layer solution for one kind of singularly perturbed quasilinear boundary value problems with a turning point. in the third section, the diagonalization method is applied to study the existence of solution for a class of vector differential systems with two - point or three - point boundary problems. meanwhile, the asymptotic estimate of the solution as well as its first - order derivative and its second - order derivative is obtained
在第一部分中，我們應用微分不等式理論證明了一類非線性系統三點邊值問題解的存在性；在第二部分中，運用微分不等式理論研究了一類帶有轉向點的擬線性奇攝動邊值問題的非單調內層解；在第三部分中，利用對角化方法研究了一類向量二點或者三點邊值問題解的存在性，並獲得解及它的一、二階導數的漸近估計。
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