多项式

When the generator polynomial of a given linear rank distance code possesses generalized continuous roots set, the sufficient condition that makes the given linear rank distance code forming rank distance BCH code is discussed.

他们指出当线性秩距离码的生成多项式的根集不是连续根集时，确定秩距离码的最小秩距离以及构做极大秩距离码是未解决的问题。

In this thesis, by employing generating function technique, some new combinatorial identities have been established.

本文利用发生函数理论建立了一系列新的组合恒等式，并且利用发生函数方法讨论了一些级数的取整值问题以及某些多项式在有理点的取值问题。

Secondly, in this part, we will introduce the notation of average geodesic curvature for curves in the hyperbolic plane, and investigate the relationship between the embeddedness of the curve and its average geodesic curvature. Finally, we will employ the Minkowskis support function to construct a new kind of non-circular smooth constant breadth curves in order to attack some open problems on the constant width curves for example, whether there is a non-circular polynomial curve of constant width, etc.

其次，对双曲平面上的曲线引入平均测地曲率的概念，并讨论双曲平面上凸曲线的嵌入性与它的平均测地曲率之间的关系，其目的是为了将双曲平面上曲线的性质与欧氏平面中曲线的性质作一些对比；最后，我们利用Minkowski支撑函数构造了一类新的非圆的光滑常宽曲线，其目的是想回答有关常宽曲线的一些未解决问题如是否存在非圆的多项式常宽曲线？

Here, we will give an independent proof of the existence for inequality (2.1.3), and by the way, give an estimate on the width of the bi-enclosing annulus of closed convex curves in the plane. Secondly, in this part, we will introduce the notation of average geodesic curvature for curves in the hyperbolic plane, and investigate the relationship between the embeddedness of the curve and its average geodesic curvature.

其次，对双曲平面上的曲线引入平均测地曲率的概念，并讨论双曲平面上凸曲线的嵌入性与它的平均测地曲率之间的关系，其目的是为了将双曲平(来源：ABC论84文网www.abclunwen.com)面上曲线的性质与欧氏平面中曲线的性质作一些对比；最后，我们利用Minkowski支撑函数构造了一类新的非圆的光滑常宽曲线，其目的是想回答有关常宽曲线的一些未解决问题如是否存在非圆的多项式常宽曲线？

This paper presents a layered polynomial texture to represent grass based on its complex geometric structure and diffuses material.

根据草的几何结构复杂性和材质的漫反射特性，提出层次多项式纹理(layered polynomial texture，简称LPT)来表示草，可以高效真实地实现这个目标。

Because graph coloring problem belongs to NP complete problems, it can not get the optimal solution in polynomial time.

由于图的着色问题属于NP完全问题，不可能在多项式时间内得到最优解。

Dixon method was adopted to construct a 22×22 Dixon matrix and then the greatest common divisor of two columns was extracted. After expanding the determinant of the matrix, a 64 degree univariate polynomial equation was obtained and 6 extraneous roots were canceled in the process of solving the other 3 variables.

结合矢量法和复数法建立了4个几何约束方程式，使用Dixon结式构造22×22的Dixon矩阵，对两列提取公因式后展开矩阵的行列式得到一元64次多项式方程，回代过程中去掉6组增根后得到58组解。

Firstly, four geometric loop equations are set up by using vector method in complex number fields. Secondly, three constraint equations are used to construct the Dixon resultants, which is a 6×6 matrix and contain two variables to be eliminated. Extract the greatest common divisor of two rows and two columns of Dixon matrix and compute its determinant to obtain a new equation. This equation together with the forth constraint equation can be used to construct a Sylvester resultant.

首先使用矢量法和复数法建立4个几何约束方程式；再使用Dixon结式法对3个方程式构造一个含有2个变元的6×6 Dixon矩阵，提取其中2行列元素的公因式，将新矩阵的行列式展开后得到二元高次多项式方程，该方程与剩下一个方程使用Sylvester结式消去一变元，得到一元高次方程。

For distorted book image under random twisted status,by comparing its margin-gray-curve data with the stored margin-gray-curves data,a group of multinomial coefficients whose corresponding twisted status is proximal to that of the to be corrected image can be selected out to determine automatically a group of distortion parameters that is suitable for distortion correction.

任意弯曲状态下的书籍扫描图像可以在数据文件中搜索到与其最接近的弯曲状态，并利用对应的多项式系数自动求得最佳畸变参数，用于图像的畸变校正实验，获得了较好的校正效果，最大误差由未校正时的63%下降到了4.4%。这使得在无需人工测量或调整畸变参数的条件下可自动校正书籍扫描图像。

These include the study of the group of homomorphisms on graphs, the construction of graphs from a group, using the eigenvalue or other linear algebraic techniques in the study of graph theory and the study of polynomials associated with a graph.

如图上的自同态群的研究，利用特徵值及线性代数的方法来探讨图的性质、以及与图有关的多项式。

Do you know, i need you to come back

你知道吗，我需要你回来

Yang yinshu、Wang xiangsheng、Li decang,The first discovery of haemaphysalis conicinna.

1〕 杨银书，王祥生，李德昌。安徽省首次发现嗜群血蜱。