Abstract
This paper suggests the power vector and the vector power series. The vector power series is a “Combinatorial Vector Number” which is composed of a real number and a certain vector. Combinatorial vector variable and its functions 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.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Yang Wenxiong, Generalized theory of nonlinear and unsteady mechanics and applications in particle physics, Applied Mathematics and Mechanics (English Ed.), 16, 1, (1995), 27–35.
Yang Wenxiong, Theory of complete nonlinear and unsteady mechanics, Acta Mechanica Sinica. (in Chinese)
Yang Wenxiong, Complete nonlinear effects on highenergy physics and its applications at high-level speed motion for a particle, Journal of Physics. (in Chinese)
M. R. Spiegel, Schaum's Outline of Theory and Problems of Advanced Mathematics for Engineers and Scientists, McGraw-Hill Book Co. (1971).
Author information
Authors and Affiliations
Additional information
Communicated by Tang Renji
Rights and permissions
About this article
Cite this article
Wenxiong, Y. Power vectors, combinatorial vector numbers and its theory of functions. Appl Math Mech 17, 139–144 (1996). https://doi.org/10.1007/BF00122308
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00122308