幂向量,复合向量数及其函数理论

本文提出向量为其幂向量和向量幂级数．向量幂级数由一实数和某一向量联合组成的“复合向量数”及其函数有重要涵义．这数也有运算法则．从复合向量数的函数理论分析知其函数有导数和解析函数的必要和充分条件．这些条件构成了“双曲型”方程的特征以及函数的积分性质等．

Power Vectors Combinatorial Vector Numbers and Its Theory of Functions

This paper suggests the power yector and the vector power series. The vector power series is a "Combinatorial Vector Number" whiclill is composed of a real number and a certain vector. Combinatorial vector variable and its funct ions have an important meaning. They have the fundamental operations of arithemetic too . From the theoretical analysis of functions for a combinatorial vector variable we would know its function has the derivatives, the necessary and sufficient conditions. These conditions make up the characters of "Hyperbolic equation" and its integrations.