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Based on the polynomial theory on a Galois field, the author presents linear complexity and minimal polynomials of all binary Whiteman generalized cyclotomic sequences with the period pq.

西北师范大学数学与信息科学学院，甘肃兰州 730070摘要：周期为pq上的2阶W-广义割圆序列的线性复杂度和极小多项式是丁存生于1998年给出的。

Finally,the circuit model is simulated by XILINX ISE 5.2,and the simulation result is correct. Reed-Solomon code ; Galois field ; multiplier ; polynomial basis ; normal basis ; VHDL

正则基下的乘法器运算方便，便于VLSI电路的实现。2自然基下有限域元素的表示方法本原多项式f=x4+x3+1定义了一个GF(24)有限域

The polarities check ability, minimum code distance and capacity of correct single bit error of CRC-CCITT are proved by using galois field polynomial theory.

以国际标准CRC-CCITT循环冗余校验码为研究对象，利用近世代数多项式理论证明其奇偶校验性质、最小码距和纠正单比特错误能力。

The CRC-CCITT cyclic redundancy check code in international standard is studied in this paper. The polarities check ability, minimum code distance and capacity of correct single bit error of CRC-CCITT are proved by using galois field polynomial theory.

以国际标准CRC-CCITT循环冗余校验码为研究对象，利用近世代数多项式理论证明其奇偶校验性质、最小码距和纠正单比特错误能力。

We know that the solutions of quadratic, cubic and quartic can be expressed by radicals. As to the solution of the quintic which has became an issue for past two or three hundred years, it was not solved until 1832 a great young Mathematician of French named Galois who recommended group theory that proved a polynomial of degree 5 and over 5 can't be solvable by radicals.

中文摘要我们知道二次、三次及四次的方程式都可以用根式表示，至於五次方程式的解迟迟无法解决，这个问题持续了两三百年，直到1832年，一位法国青年Galois在其决斗前夕，在他的遗书中，这位伟大的青年数学家引进了群的理论，证明了：五次及五次以上的方程式，不可能有公式解。

It is shown that the form of average intensity is not a Gaussian function but a polynomial of the power of the binomial function, Gaussian function, and the incomplete gamma function.

结果同时表明，斜程湍流大气传输的有限光束光强不仅是发射光束半径、传输距离和球面波长期平均相干长度的函数，同时也是发射孔半径的函数。

Among them, former polynomial expansion detection algorithm based on the classic conclusion ,Gauss－Seidel iterative method which will introduce the same time. Inverse matrix will eventually form into a Taylor series approximation.

其中，前一种算法立足多项式扩展检测的经典结论，同时将Gauss－Seidel迭代方法引入其中，最终将矩阵求逆转化为泰勒级数近似的形式。

The author of this text has put out a kind of new-type quadrature formula by using the Gaussian quadrature formula and the orthogonality of Per Kai polynomial.

应用Gauss型求积法则和Per Kai多项式的正交性质，本文作者推导出了一种新型的求积公式—Gauss-Per Kai积分公式。

This PhD dissertation is on the polynomial representations of the general linear group GL_n and related topics.

这是一篇研究一般线性群GL_n的多项式表示及相关课题的博士学位论文。

This paper presents a method of general Radon transform with2-order polynomial.

本文介绍了次数为"2"的多项式Radon变换。

Breath, muscle contraction of the buttocks; arch body, as far as possible to hold his head, right leg straight towards the ceiling (peg-leg knee in order to avoid muscle tension).

呼气，收缩臀部肌肉；拱起身体，尽量抬起头来，右腿伸直朝向天花板（膝微屈，以避免肌肉紧张）。

The cost of moving grain food products was unchanged from May, but year over year are up 8%.

粮食产品的运输费用与5月份相比没有变化，但却比去年同期高8％。