查询词典 mapping theorem

Through a new analysis on the essential relationship between Russell's Paradox and Cantor's proofs on the uncountability of real number set and the proof on the Cantor's Theorem of ,two mysterious errors were found: The very same idea was applied in both Russell and Cantor's work, but Cantor made wrong use of it with two logical mistakes.

分析了罗素悖论与康托的实数集合不可数证明及康托定理证明之间的本质性联系，发现康托的这两个非构造性证明与罗素悖论有完全相同的思路，但是康托犯了两个逻辑性错误而使他误用了这个悖论思路。

From the defects in the basic theory of present classical infinite theory, the essential relationship between Russell's Paradox and Cantor's proof on the uncountability of real number set and the proof on the Cantor's Theorem of is analyzed and a mysterious error is found:The core of Cantor's above two important proofs in set theory are actually another versions of Russell's paradox and the very same paradoxical idea was applied in both Russell and Cantor's work, and Cantor made wrong use of this paradox idea with two logical mistakes.

从经典无穷理论体系中的缺陷入手，深入分析了罗素悖论与康托的实数集合不可数证明及康托定理证明之间的本质性联系，发现康托在这两个证明里的核心部分实际上是罗素悖论的翻版，它们与罗素悖论有完全相同的思路，并且康托犯了两个逻辑性错误而误用了这个悖论思路。

Russell's Paradox; the uncountability of real number set; Cantor's Theorem of ; infinite theory system; part; all; epistemology; logic

罗素悖论；实数集合不可数性；康托定理；无穷理论体系；部分；全体；认识论；逻辑

Using the asymptotically compact theory of Anselone' and Stepleman' theorem, the existence, the unicity , the convergence and the error estimate with O(h3) of the discrete equations are shown....

并借助Anselone的渐近紧收敛理论和Stepleman定理，证明了离散方程组的解存在性、唯一性、收敛性和精度阶O(h~3)。使用Ostrowski的不动点定理，提供了三阶收敛的迭代法。

With a view of this, we propose the key theorem and discuss the bounds on the rate of uniform convergence...

基于此种考虑，本文提出了样本受零均值噪声影响下的学习理论的关键定理，并讨论了零均值噪声样本下的学习过程一致收敛速度的界。

In view of the fuzzy characteristics of real world, fuzzy set theory and statistics with vague data are combined to generalize key theorem and bounds on rate of uniform convergence of learning processes as the base of statistical learning theory in this thesis.

摘要考虑到现实世界的模糊性，本文结合模糊集理论和模糊统计学的知识，对作为统计学习理论基础的关键定理和学习过程一致收敛速度的界进行推广，给出了模糊学习理论的关键定理和一致收敛速度的界。

In view of the uncertainty of the real world, trust theory and statistical learning theory are combined to generalize the key theorem and the bounds on the rate of uniform convergence of learning theory. This paper mainly investigates the basic problems of statistical learning theory with rough samples.

考虑到现实世界的不确定性，本文结合统计学习理论和信赖理论的知识，讨论了基于粗糙样本的统计学习理论的基本问题，对作为统计学习理论基础的关键定理和学习过程一致收敛速度的界进行了推广。

With a view of this, we propose the key theorem and discuss the bounds on the rate of uniform convergence of learning processes based on ERM principle when samples are corrupted by zero-expect noise.

基于此种考虑，本文提出了样本受零均值噪声影响下的学习理论的关键定理，并讨论了零均值噪声样本下的学习过程一致收敛速度的界。

At first, using fixed point theorem, we establish the sufficient conditions which guarantee the existence, uniqueness, uniform stability of periodic solutions for the equations.

首先，我们利用不动点定理，建立了保证该类方程周期解的存在性、唯一性及一致稳定性的充分条件。

Using the Lyapunov-Krasovskii functional stability theorem, it is proved that the designed controller makes the closed-loop system semi-globally uniformly ultimate bounded.

所提出的控制器设计思路可以推广到更高阶的多重时滞非线性系统。

He paid $5,000 for this cupcake.

他我这个纸杯蛋糕花了5000美元。

I mean, if you want to, that is

我的意思是，如果你们想吃的话。