1) equilibrant proof
等效证明
2) elementary proof
初等证明
1.
This paper provides the elementary proof of geometry average arithmetic average inequality,which can advance the use of the inequality significantly and can express its value through some applications.
给出几何平均算术平均不等式的初等证明,这样就可使此不等式的使用大为提前,通过一些实例体现此不等式的使用价值。
2.
The purpose of this paper is to give an elementary proof for the basic theorem.
作者给出了这个基本定理的一个初等证明 ,这个初等证明不但避免使用M 。
3.
Using Multiplication and Kronecker product property of matrix and simple prop- erty of inverse,an elementary proof of theorem in[1]is given.
仅用矩阵的乘法,矩阵的 kronecker 积的性质及逆矩阵的简单性质给出了[1]中定理的一个初等证明。
3) primary proof
初等证明
1.
In this paper we introduce an integral recurrence formula for calculating polynomial of powers sum, and gives its a primary proof and some applications.
本文介绍一个计算幂和多项式的积分递推公式 ,并给出该公式的初等证明和某些应用 。
2.
The author put forward the primary proof of the Pascal Theorem in higher geometry and obtained five primary inferences.
给出了高等几何中的Pascal定理的初等证明及5个初等推论。
4) efficiency of proof
证明效率
1.
purpose of proof,value of proof,pattern of proof and efficiency of proof.
诉讼证明理念可以从证明目的、证明价值、证明模式和证明效率这四个维度来加以把握。
6) valid testimony
有效证明
1.
During law suits, valid testimony often runs counter to the protection of procedural righteousness.
诉讼中,有效证明与维护程序正当性时常表现为此消彼长的二律背反关系。
补充资料：比等效百万吨数