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In this paper, We firstly present a nonuniform sampling DCT method based on the relationship of Chebyshev polynomial interpolation and DCT, in which, the sampling points are chosen as zeros of Nth degree Chebyshev polynomials of the first kind.

文章首先利用Chebyshev多项式插值与DCT变换之间的相互关系,提出了基于第一类Chebyshev多项式的第N次多项式的零点作为非均匀取样点的DCT变换方法。

We designed the algorithm which can perform the closed domain inclusion test in real time, realized quick search in the algebraic inclusion test algorithm by transforming polynomials with dichotomy.

设计了可实时计算的高斯图闭域包含测试算法,通过引入二分法改造多项式包含测试代数算法,实现快速查找。

V-system consists of piecewise polynomials with multi-level discontinuity. It has property of multi-resolution and compact local support.

V-系统由分段多项式组成,包括各个层次的间断函数,具有多分辨分析特性和局部性。

V-system is a complete orthogonal system on L_2[0,1], which was constructed in 2005 by the author of this paper. V-system of degree k is composed of piecewise k-order polynomials, has multiresolution property, and is a generalization of Harr wavelet.

V系统是作者2005年构造的一类L_2[0,1]空间上的正交完备函数系。k次V系统由k次分片多项式组成,具有多分辨特性,是Haar小波函数的推广。

The V-system is a new class of complete orthogonal functions system in L2[0,1], which is composed of piecewise kth-order polynomials. There are continuous functions as well as discontinuous functions in V-system.

V-系统是一类由分片多项式构成的正交函数系,函数系中既有连续函数又有间断函数。

For example,suficient of polynomials with integer coefficient is not integer root and is not repeated complex root etc.

包括整系数多项式的无整数根的充分性,整系数多项式无重根的充分性。

In Chapter 1,some elementary knowledge was introduced,such as theBernstein-Bezier representation for polynomials,conform triangulation,theconditions of convexity for Bézier spline surfaces,the funtional andgeometric continuity condition for neibour Bézier surface patches etc.,specially,based on the Liu-Ding-Yuan Theorem for geometric continuity,some simple and practical conditions were obtained.

第一章介绍一些基本知识,如多项式的Bernstein-Bézier表示,相容三角剖分的定义,Bézier三角样条曲面保凸的条件,相邻Bézier曲面片函数连续和几何连续的条件等,特别地,在刘鼎元关于几何连续条件的一般定理的基础上,导出了几个较简单的实用的一阶几何连续条件。

Hence, a necessary and sufficient condition for the positivity of polynomials of arbitrary degree is presented in this paper.

由此提出了任意阶多项式为正的一个充要条件,也提出了一个实用的算法。

In this paper, the theory and method of polynomials for conformal projection transformation and their application in CAC and in the construction of GIS are systematically discussed. Also introduced is the programme package in BASIC and FORTRAN for conformal projection transformation.

本文系统地讨论了等角投影变换的正形变换多项式的理论、方法及其在计算机制图和地理信息系统建设中的若干应用问题,并同时介绍了《等角投影变换BASIC、FORTRAN程序软件包》的有关内容。

Coordinate Geometry (15%). Questions in this content are based on graphing and the relations between equations and graphs, including points, lines, polynomials, circles, and other curves; graphing inequalities; slope; parallel and perpendicular lines; distance; midpoints; and conics.

坐标几何( 15 %)。这方面的考试内容是基于方程和图表之间的关系,包括点,线,多项式,圆形和其它的曲线图;不相等图形;斜率;平行和垂直线;距离;中点;以及二次曲线。

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