查询词典 radon nikodym theorem

In the condition of no loop and no twoness, the auto update theorem is justified. At the same time, a locally best algorithm is given and additional validation is conducted.

在没有回路问题和二重性问题的条件下，本文证明了自动更新定理，并进一步提出了一个局部最优的自动更新算法，还给出了这个算法的证明。

Theorem 10.3: Under assumptions TS.1 – 5, the unbiased estimator of σ2 is

定理10.3：在假定TS.1-5下，σ2的无偏估计量为

In parameter estimation, the Minimum Variance Unbiased Estimator of a parameter θ can be characterized by sufficient statistics and the Rao-Blackwell Theorem.

但匪夷所思的是，有人还再加上"生肖"这样一个中国特有的"统计量"，再对各星座的性格做出统计判断。

Second theorem shows that the existence of solution is possible under suitable conditions when the limit of growth of nonlinear term at infinity is an unbounded function.

第二个定理表明当非线性项在无穷远处增长的极限是一个无界函数时在适当条件下这问题仍可能有一个解。

Through a new analysis on 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 , a mysterious error was found:the very same logic contradiction was applied in both Russell and Cantor's work.

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，发现康托在这两个非构造性证明中所依赖的、用对角线法所构造出的矛盾其实就是罗素悖论中所揭示的逻辑矛盾。

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。

You can snipe the second and third union leaders from this position.

您可以鹬第二和第三工会领袖从这一立场出发。

Aiming at the currently shortage of XML streams quality detecting, this paper proposes a new forecasting method of XML streams quality by least squares support vector machines, which is used the method of XML keys' vector matrix as windows, and vector product wavelet transform to multilevel decompose and refactor the XML streams series, that can fulfill real-time checking demand of XML quality, and ensure constraint, consist- ency and integrality. For even more adapting net load, it proposes a control strategy by weight and adaptive adjustment to ensure XML streams quality.

针对当前XML数据流质量检测存在的不足，提出构建XML键的矢量矩阵作为窗口，利用矢量积小波变换多级分解与重构XML数据流，再结合最小二乘支持向量机对XML数据流质量进行预测的一种方法，满足XML数据流质量重构时实时检测的要求，保证XML数据的约束性、一致性与完整性；为了更好的适应网络负载，采取加权与自适应窗口调整等调度策略充分保证XML数据流的质量检测。