维数定理 meaning in English
dimension theorem
Examples
- Spline curves defined in the space constructed by polynomial and hyperbolic functions are studied in this paper . the main research contents and achievements are as follow : firstly , we generate the cardinal extended complete chebychevian ( ect ) - systems on the space constructed by polynomial and hyperbolic functions , then introduce the algebraic - hyperbolic b - spline space and identify the dimension law and zero properties . the existence of a basis of splines with minimal compact supports is demonstrated , and functions named non - uniform algebraic - hyperbolic b - splines are obtained by solving certain linear equations with a block matrix
本文主要研究定义在多项式和双曲函数构成的空间上的样条曲线,其内容和完成结果如下:一、生成由多项式和双曲函数构成的空间上的一组典范式ect ( extendedcompletechebychevian )组及其对偶, ,证明非均匀代数双曲b样条空间的维数定理和零点定理,直接通过解块矩阵线性方程组得到具有最小紧支撑的非均匀代数双曲b样条函数,进而构造非均匀代数双曲b样条曲线,还具体给出低阶的表示 - 4 . applying the techniques of real radical ideal , p - radical ideal ( p is a cone ) , decomposition of semi - algebraic set in ( [ 72 ] ) , affine hilbert polynomial and b - net form of polynomials on simplex , this paper obtains two theorems of real c ? piecewise algebraic variety dimensions and the real nullstellensatz in c
L 、 ）数的一个下界计算公上巳4 ：应用多项式在单纯形上的b网形式以及文献门21 ）中的实根理想，锥根理想，半代数簇分解定理，本文得出了实c ”分片代数簇的二个维数定理和c 。 - Therefore , it can be used as an efficient new model for geometric design in the fields of cad / cam . at last , the spatial definition of periodic spline and natural spline constructed by polynomial and hyperbolic functions is given ; the dimension law and zero properties are demonstrated ; and therefore the non - uniform algebraic - hyperbolic period and natural spline curves are obtained . the applications of the low order are given in details
三、给出代数双曲周期样条及自然样条空间定义,证明其维数定理和零点定理,构造具有最小紧支撑的非均匀代数双曲周期及自然样条函数,进而定义非均匀代数双曲周期及自然样条曲线,最后具体给出低阶的表示和应用