查询词典 convolution theorem

The theorem of convergence of opinions is regarded as the dynamic principle of rationality concerning the subjective probability, and therefore is used to resolve Hume's problem, i.

意见收敛定理是主观主义概率论的一条重要定理，它表明随着证据的增加，验前概率的主观性将被验后概率的客观性所代替。

Theorem 1 If the power series is convergent at ,then for any that ,the power series absolutely converges at point ;if the power series is divergent at ,then for any that ,the power series diverges at point .

定理1 如果级数当时收敛，则适当不等式的一切使这幂级数绝对收敛；反之，如果级数当时发散，则适合不等式的一切使这幂级数发散。

Theorem 1 If the sequence is convergent, then its limit is unique.

定理 1 如果数列收敛，那么它的极限唯一。

Theorem 4(Relation of a Convergent Sequence between its Subsequence) If the sequence converges to ,then any of its subsequence is also convergent, and the limit is also .

定理4(收敛数列与其子数列间的关系)如果数列收敛于，那么它的任一子数列也收敛，且极限也是。

Theorem 2 (Boundedness of a Convergent Sequence) If the sequenceis convergent, thenis bounded.

定理 2 如果数列收敛，那么数列必定有界。

Theorem 8 If the series converges absolutely, the series must be convergent.

定理8 如果级数绝对收敛，则级数必定收敛。

A method of building the fuzzy model with constant-value consequence for MIMO complex processes is presented by means of the iterative learning algorithm of fuzzy model consequent parameters, and the convergence of the iterative learning algorithm is proved according to the convergent theorem of bounded positive-term series, moreover, the effectiveness of the presented fuzzy modeling method is also demonstrated by a simulation example.

深入讨论了常值后件模糊规则模型与映射的关系，并证明这种模糊模型所表示的模糊系统具有在紧集上逼近任意实值连续函数到任意精度的能力，为将这种模糊模型用于复杂过程的建模和控制作了一些理论准备。

For the compact operators series and Eberlein-Smulian theorem,first,it presents acharacterization of unconditional convergent series for the case of sequentially complete lo-cally convex spaces.

关于紧算子级数与〓定理，首先给出了序列完备局部凸空间中无条件收敛级数的一个特征。

At first, it presents a survey of the studyhistory as well as present situation in the λ-multiplier convergent series,invariant, infinite matrix algebras, Schur-matrices and p-uniform Toeplitzmatrices and the Eberlein-Smulian theorem, etc.

本文共5章。首先回顾了〓数乘收敛级数、不变性、无穷矩阵代数、Schur—矩阵与p-一致Toeplitz矩阵以及Eberlein-Smulian定理等的研究历史和现状。

It investigates mainly the dualinvariant of λ- multiplier convergent series, the full invariant ofλ-multiplier convergent series, the λ- multiplier convergent series in spaceswith a basis, the compact sets in the infinite matrix topological algebras, thecharacteristics of have the same compact sets in different topologies,the weak sequentially completeness of , the characteristics ofSchur-matrices, the characteristics of p- uniform Toeplitz matrices and theEberlein-Smulian theorem in the locally convex spaces, etc.

主要研究了〓数乘收敛级数的对偶不变性，〓数乘收敛级数的全程不变性，有基空间中的〓数乘收敛级数，无穷矩阵拓扑代数〓中的紧集，〓在不同拓扑下具有相同紧集的刻划，〓的弱序列完备性，Schur—矩阵的刻划，p-一致Toeplitz矩阵的刻划以及局部凸空间上的Eberlein—Smulian定理等。

Chimborazo and Cotopaxi, took me by the hand.

越过琴博腊索山和科托帕克西山。

This car is in a good condition.

这辆车的状况很好。