A member of the herbrand base is called atom in automatic theorem proving 在自动定理证明中,海尔勃朗基的成员也称为原子。
A simple structural method of auxiliary function in proving differential mean value theorem 微分中值定理证明中辅助函数的一种简明构造法
Proving auto - theorem and finding out the answer to questions based on the method of supporting aggregate in sum - up principle 基于支持集策略实现定理证明及问题的求解
Lastly , by applying the representation theorem of t - measures , we get the lebesgue decomposition theorem for tco - measures 最后，我们运用t _ ?测度的积分表示定理证明了t _ ?测度的lebesgue分解定理。
We use the poincare - andronov - hopf bifurcation theorem to prove that there is an invariant curve in the center manifold when the coupling coefficient e is small enough 利用poincar - andronov - hopf分支定理证明系统有弱空间耦合时在中心流形上存在不变圈。
A formal definition of proposition formulae was provided by context - free grammar , and the conversion from proposition formulae to polynomials was solved automatically 摘要该文将命题逻辑的定理证明转换为多项式方程的求解问题，从而提出了一种基于非子句的代数化方法。
In this paper , using the fundamental theorems about the existence of the characteristic value of the symmetric integral equation , we prove another two important theorems 摘要本文利用对称式方程特徵值存在基本定理证明了关于对称式积分方程特徵值存在性的两个重要结论。
In [ 4 , 5 ] , the authors used the krasnoselski ' s fixed point theorem in cones to establish the existence of multiple positive solutions when f is superlinear or sublinear 在文[ 4 ， 5 ]中，作者应用krasnoselski ' s锥不动点定理证明了当f超线性或次线性时多个正解的存在性
Similarly , the corresponding existence result is founded for the following boundary value problem on time scales by using the induction principle of duality on time scales 主要工具是时间尺度上的归纳原理类似地获得了边值问题的解的存在性定理证明工具是时间尺度上的归纳原理的对偶命题
