1) Hadamard fundamental solution
Hadamard基础解
2) Hadamard fundamental solutions
Hadamard基本解
1.
) of Hadamardfundamental solutions in the geodesic distance expanded form is given for resolving the relation of Huygens operators derived from Veselov and Berest and the Stellmacher operators by Hadamard fundamental solutions theories.
对线性双曲型偏微分算子P(u)=utt+2b0(t)ut+c0(t)u-△u-2sum from i=1 to nbi(x)uxi-c(x)u,给出Hadamard基本解按测地距离展开的系数Ek(t,x;s,y)(k=0,1,2,…)与P(u)的系数较直接的关系,从而以E(n-1)(？)(t,x;s,y)为Huygens算子的等价条件,解析了Veselov和Berest给出的一类Huygens算子与Stellmacher算子的关系。
2.
In this paper, using Hadamard fundamental solutions of hyperbolic equations, Huygens operator problem is converted into a relation that the hyperbolic equation coefficients satisfy, then more Huygens operators are found, and the Stellmacher result is generalized.
通过双曲型方程的Hadamard基本解理论,将Huygens算子识别问题转化为双曲型方程的系数满足的关系,找出了更多的Huygens算子,从而推广了Stellmacher的结果,并解析了Veselov和Berest给出的一类Huygens算子与Stellmacher算子的关系。
3) basic solution
基础解系
1.
On the basis of HMO theory, this article introduces a basic solution method to calculate wave function of degenerate energy level for conjugated molecules, and some examples were given in it.
本文利用基础解系方法,用HMO法确定共轭分子简并能级波函数,并给出了几个典型实例。
2.
In this paper, we study the general solutions, basic solutions and particular solutions of linear equations by elementary row transformations and column transformations method, and we also discuss the judgment method of solutions.
研究了用初等行变换和列交换求线性方程组通解、基础解系、特解的简便方法 ,讨论了解的判定方
4) basic system of solution
基础解系
1.
This paper introduces the concept of basic system of solutions for the nonhomogeneous linear equation set, and further discusses its structure and transition matrix.
在非齐次线性方程组中引入基础解系的概念,并在此基础上进一步讨论了解的结构,以及基础解系间的 过渡矩阵。
6) system of basic solutions
基础解系
1.
This paper proves the existence theorem of the system of basic solutions for the right homogeneous linear equation sets over a non-commutative principal ideal domain R and gives the representation of the solutions for the right linear equation sets over R.
证得非交换主理想整环R上右齐次线性方程组基础解系存在定理,给出R上右线性方程组解的表示。
2.
This note presents a method to solve a homogeneous system of linear equations by giving linear independent vectors as a system of basic solutions.
给出求以已知一组线性无关的向量为基础解系的齐次线性方程组的方法。
补充资料：经济基础(见经济基础与上层建筑)
经济基础(见经济基础与上层建筑)
economical basis
J ingji Jiehu经济基础与上层建筑。(eeonomiealbasis)见经济基础
说明：补充资料仅用于学习参考，请勿用于其它任何用途。
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