查询词典 normal basis theorem

Information theory and coding, right Shannon source coding theorem simulation, verification of the Shannon coding theorem.

信息论与编码中，对香农信源编码定理的仿真，验证了香农编码定理的可行性。

The channel coding theorem, the source coding theorem.

信道编码理论和信源编码理论。

The main topics include entropy and mutual information, data compression, noiseless coding, Shannon theorem, noiseless coding, Shannon Theorem, linear codes, cyclic codes.

本课程宗旨是简介基础的资讯理论，主要课程含嫡及相互信息、资料压缩、无杂讯编码及Shannon定理、线性码、循环码等。

The topics covered include the basic concepts of information theory--entropy, mutual information, channel capacity, information rate, Shannon's noiseless coding theorem and Shannon's fundamental coding theorem; modeling of information sources--zero-memory and Markov models; modeling of information channels--BSC and BEC channels, additivity of information and cascaded channels; construction of compact source codes--Kraft inequality, compact codes, Huffman and LZW compression codes; and analysis and design of error-control channel codes--Hamming distance, binary linear codes and the parity-check matrix, Hamming codes, checksum codes, cyclic codes and the generator polynomial and CRC codes.

课程的内容包括：信息论的基本概念（熵、交互信息、信道容量、信息率、 Shannon无噪声编码定理和Shannon基本编码定理）、信源模型（无记忆模型和Markov模型）、信息信道模型（BSC 和 BEC模型、信息的可加性和级联信道），紧致信源编码设计（Kraft不等式，紧致编码，Huffman 和LZW压缩编码）以及差错控制信道码的设计与分析（海明距离，二元线性码，奇偶校验矩阵，海明码，校验和，循环码，生成多项式和CRC码）。

As applications of the imbedding theorem, a fuzzy version of the well-known Urysohn metrizable theorem and the general theory of the fuzzy Stone-Cech compactification are given.

最后作为嵌入定理的应用，得到了不分明Urysohn度量化定理并完成了不分明Stone-Cech紧化的一般理论。

As a particular of Rado's theorem and the compactness theorem one obtains the following result.

作为Rado定理和紧致性定理的一种特殊情形，我们得到下面的结果。

First,we show a compactness theorem in SBH,then byusing this compactness theorem,we discuss variational problems for two different func-tionals.

首先给出了SBH空间的一个紧性定理，然后利用这个定理讨论了两个不同泛函的变分问题。

Finally, we study the equivalence theorem and the comparison theorem of semiconvergence for the second quasi-nonnegative splitting.

最后讨论了第二型quasi非负分裂半收敛的等价定理和比较定理。

The completeness and soundness theorem of this resolution principle are also proved; Secondly, a α-resolution method which can be used to judge that a lattice-valued logic formula is always α-false (i. e. is always less than α) is established, in which the completeness and soundness theorem are also proved.

进一步，类似于经典情形下寻求判定一个公式恒真的半可判定算法，建立了判定基于格蕴涵代数的格值逻辑中一类格值公式在一定真值水平α下恒假的α-归结方法，并证明了其可靠性和完备性。

Secondly in§3.2 ,firstly we prove a new fixed point theorem on Banach space,and study the Sturm-Liourille boundary value problem with the theorem and some properities of concave function, then the existence of three positive solutions is gotten.

第二节，先证明一个新的锥上不动点定理，再利用此定理及凹函数的性质来研究边值问题，得到了三个正解的存在性。

There are different types of personal loans available.

有许多不同类型的个人贷款优惠。

The above mentioned teaching model of spiral rising can be used to avoid rigidness in teaching.

上述螺旋式上升的教学模式，可以避免教学形成模式後的僵化现象。