equivalence of quadratic forms

用法例句

Integrable couplings of the KdV hierarchy is obtained by use of the new subalgebra of the loop algebra,then the Hamiltonian structure of the above system is given by the quadratic-form identity.

利用loop代数的半直和得到KdV族的可积耦合,通过二次型恒等式得到它的哈密顿结构。

Since the trace iden-tity fails to generate Hamiltonian structures of integrable couplings,the quadratic-form identity was proposed, which is an extension ofthe trace identity.

由于迹恒等式无法寻求可积耦合的Hamilton结构,所以人们提出了二次型恒等式,它是迹恒等式的推广,是寻求可积耦合的Hamilton结构的有效方法。

Further more,the Hamilton ian structure of its integrable couplings is worked out by using of the quadratic-form identity,which is of Liouville intergrable.

首先构造了一个loop代数,根据(2+1)维零曲率方程计算得到(2+1)维KdV族的可积耦合,然后通过二次型恒等式得到它的哈密顿结构。

In this paper,we set the conception of quadratic form of a graph and quartic form of a graph, the necessary sufficient condition on 1-factor of graphs and 2-factor of paar graphs and obtain a counting formula for 1-factor of graphs.

本文应用图的二次型与四次型的概念，得到图有１－因子、偶图有２－因子的充要条件，并且得到了图的１－因子的计数公式。