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1·The proof of existence theorem is given.

证明了存在定理。

2·An existence theorem of continuous signal transfer operator is given.

证明了连续信号传输算子的存在定理。

3·A new existence theorem is obtained by applying the degree theory on cone.

利用锥上的度数理论获得了一个新的存在定理。

4·A new existence theorem on cyclic difference sets is introduced in this note.

本文介绍了一个循环差集的存在性定理。

5·As its application, we give a new proof of the existence theorem of prime models.

作为其应用，我们给出了素模型存在定理的另一种证明。

6·In this paper, an existence theorem of Q-processes for the both infinite case is established.

本文对“双无限”生灭拟Q矩阵，得到了生灭Q过程的存在定理。

7·Using the principal curvature formula, we prove an existence theorem of Weingarten hypersurface.

并利用主曲率计算公式证明了W-超曲面的一个存在性定理。

8·The uniqueness and existence theorem for a nonlinear fourth-order boundary value problem is established.

研究一类非线性四阶常微分方程两点边值问题，得到一个存在唯一性定理。

9·The existence theorem of expected utility function was the most important conclusion in expected utility theory.

期望效用函数存在定理是期望效用理论中最重要的定理。

10·An existence theorem of twin positive solutions is established for a nonlinear fourth-order two-point boundary value problem.

对于非线性四阶两点边值问题建立了一个孪生正解的存在定理。