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In graph theory,we have the algebraic graph theory[8]which involving spectrum,chromatic polynomial and so on.

在图论中，我们有代数图论[8]，通过研究图的谱，色多项式等来研究图的性质。

The absolute values of the coefficients of any chromatic polynomial form a unimodal sequence.

任何多项式系数的绝对值都构成单峰序列。

In this thesis, we obtain the chromatic polynomial of a mixed hypergraph with complete C-edges and circular D-edges by using splitting-contraction algorithm.

在这篇论文中，我们利用分离－收缩法(splitting-contraction algorithm)获得一个拥有完全C边以及循环D边特性的图之著色多项式。

In addition to the full-temperature q-state Potts model, the structure of the transfer matrix for the zero-temperature Potts antiferromagnet, i.e. the chromatic polynomial, is also obtained.

除了任意温度的q 态Potts模型外，我们也得到零度反铁磁Potts模型，也就是色多项式，的转移矩阵的结构。

Since any n x n doubly stochastic circulant matrix has a unique representation as a polynomial of degree n - 1 in the shift operator wn, the classification problem of primes in the doubly stochastic circulant matrices can be reduced to the solution of an equation over a doubly stochastic circulant matrix.

由于任一n阶双随机循环矩阵都可以唯一地表示为移位的n-1次一元多项式，从而可把双随机循环矩阵中素元的分类问题简化为解双随机循环矩阵上的一个方程。

Since any n×n doubly stochastic circulant matrix has a unique representation as a polynomial of degree n-1 in the shift operatorω_n,the classification problem of primes in the doubly stochastic circulant matrices can be reduced to the solution of an equation over a doubly stochastic circulant matrix.

由于任一n阶双随机循环矩阵都可以唯一地表示为移位的n-1次一元多项式，从而可把双随机循环矩阵中素元的分类问题简化为解双随机循环矩阵上的一个方程。

In this paper, the judgement of existing solution to circulant linear equations set and the solutions under all kinds of circumstances are presented by polynomial matrix theory.

摘要利用多项式矩阵理论，给出了循环线性方程组有解的判定并求出各种情况下的解。

All of the above polynomial equations have full circularity.

以上之多项式方程式的图形均是全圆点曲线。

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）。

One possible solution to this problem is to reduce the polynomial order which may yield a finite number of coe?

一个可能的解决办法这个问题是要减少多项式秩序可能会产生一个有限的数目居权证？

Aquatic or marsh-growing fern allies; known to have existed since the Cenozoic; sometimes included in Lycopodiales.

生活于水中或湿地的蕨类；从新生代生存至今；有时归于石松目之中。

The engine was uprated from a 90hp Franklin to a 125hp Lycoming.

改良过的引擎是从90hp到125hp莱康明富兰克林。