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This paper introduced a dollar polynomial divisible in nature, the nature of the greatest common divisor, factorization properties, factorization and its applications in nature.

本论文介绍一元多项式的整除性质，最大公因式的性质，因式分解性质、因式分解性质及其应用。

This algorithm mainly consists of two parts: auto shutter control based on cubic interpolating polynomial of common logarithm of the image average gray and image grey stretch technique based on experiment data analysis.

结合图像处理中的灰度拉伸技术，实现了一种方便、稳定及高精度的调光。其算法主要由基于场景灰度均值对数的三次多项式插值函数自动快门控制和图像灰度拉伸实现。

Coefficients of h-polynomial of fully commutative elements of group H_4 type are nonnegative.

H_4中所有满交换元素的h多项式系数非负。

Group, Subgoup, Permutation Group, Cyclic Group, Commutative Group, Normal Subgroup, Factor Group, Isomorphism, Ring, Ideal, Field, Polynomial Ring, Factor Ring.

课程内容：群，子群，置换群，循环群，交换群，正规子群，商群，群之同构，环，理想，体，多项式环，商环等。

Since the information for the generalized Jordan canonical blocks in the generalized Jordan canonical form can not be easily obtained from the characteristic polynomial and the commutative law does not hold for matrix multiplication,we compute the common form of the power of the generalized Jordan canonical form and get a concise expression for the power of the defective matrix.

考虑到不易从它的特征多项式获得构成广义若当标准型的阶数更小的广义若当块的有关信息，针对矩阵乘法不满足交换率，本文从计算广义若当标准型的幂的一般形式出发，获得实数域上亏损矩阵的幂的一个简洁表示。

The number of polynomial function over a finite commutative ring. This paper is on the basis of the research for the first question.With the structure of finite commutative ring,we know that a finite commutative ring can be expressed by direct sum of some finite commutative local rings.

本文主要基于对问题一的研究，并由有限交换环的构造可以知道，有限交换环可以由一些有限交换局部环的直和表示，于是就将问题简化到对有限交换局部环上多项式的判定。

In this note the problem of counting the number of polynomial functions over finite commutative rings is discussed.

本文主要讨论了有限交换环上多项式函数的计数问题。

In this paper, we make investigations on polynomial functions and permutationpolynomials over finite commutative rings and several results are obtained.

本文主要讨论了有限交换环上的多项式函数和置换多项式，得到了一系列的结果。

However, this polynomial regression model suffered from thecolor metameric problem. Herewith, to minimize the metamerism, a model was developed based on the principal component analysis and back-propagation artificial neural network for scanner spectral characterization, which could reconstruct more accurate spectrum in comparison with the related international experimental results.

但是，扫描仪的多项式回归色度特征化模型存在同色异谱问题，因此本文提出了基于主元分析法和神经网络技术实现扫描仪颜色光谱特征化的算法模型，解决了同色异谱的问题，并且获得了比国际上同类研究更高的图像光谱重构精度。

In this paper, a new wide-neighborhood path-following algorithms for uniform P- function nonlinear complementary problems is presented, and its convergence and computational complexity is discussed. The results indicate that the algorithm is a polynomial-time one.

对一致P-函数非线性互补问题，提出了一种新的宽部域N(上标-下标∞路径跟踪算法，并讨论了该算法的收敛性及计算复杂性，分析结果表明，所给方法是一多项式时间算法。

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％。