查询词典 extended mean value 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。

The soundness and completeness theorem of this method were proved at last. This part consists of the following points: 1. The properties of the indecomposable extremely simple form of LP were discussed, the theorem shown that every logical formula of LP was equals of a generalized conjunction normal form. 2. The method for judging a logical formula is a indecomposable extremely simple form or not was discussed, the necessary and sufficient conditions of a logical formula with not more than three implicative connective being a indecomposable extremely simple form was given. 3. The α-resolution fields of the indecomposable extremely simple form of LP were discussed, some elementary results were obtained. 4. The automated reasoning method based on the resolution principle of classical logic was discussed, the author given a method to describe the set of clauses by using a matrix, and translated the resolution of two clauses to column operations of this matrix.

二、关于格值命题逻辑系统LP中α-自动推理方法的研究 1、对LP中不可分极简式的性质进行了研究，证明了LP中任何一个格值逻辑公式等值于一个广义合取范式； 2、对LP中不可分极简式的判定方法进行了研究，讨论了含有不超过3个蕴涵运算的格值逻辑式为不可分极简式的充分必要条件； 3、对LP中不可分极简式的α-归结域进行了研究，得到了一些基本结果； 4、对经典逻辑中基于归结原理的自动推理方法进行了研究，给出了用符号矩阵表示子句集合的一种方法，把不同的归结过程转换成矩阵的列变换。

The use of the web to spread fears that flicking the switch on the LHC could create a Black Hole that could swallow up the Earth particularly concerned him, he said.

他说，使用互联网散布恐慌说启动LHC会生成一个可能吞噬地球的黑洞的做法让他感到忧虑。

Not a single word have I written down.

我一个字也没有写下来。