This paper discusses the mathematical proofs in everyday life.
讨论了日常生活中的数学证明。
The strict mathematical proofs for these conditions are carried out in this paper.
本论文还对这些必要性条件进行了严格的数学证明。
Examples include program listings, immense tables of data, lengthy mathematical proofs or derivations, etc.
可以列举一些包括课程表，大量的数据表，冗长的数据证据或文字等的例子。
Then the properties of these geometric measures were summarized and the mathematical proofs were finished.
然后总结了这些几何度量的性质，并进行了数学证明；
Haveing realized the limitations of technology, finding clever mathematical proofs is surrogate to my once held dreams of space exploration.
认识到科技的局限性，发现一个妙不可言的数学证明代替了我一度探索宇宙的梦想。
SCC-MPC scheme's nominal stability and robust stability were analyzed. Mathematical proofs proved the nominal stability and robust stability of SCC-MPC.
对SCC-MPC的名义稳定性、鲁棒稳定性分别进行了分析，并用数学方法证明了SCC-MPC算法的名义稳定和鲁棒稳定。
Such material might include detailed descriptions of equipment, relevant mathematical proofs, research questionnaires or a detailed description of a cited author's intent.
这些材料可能包括设备的详细描述，相关的数学证明，研究问卷或一个引用作者的意图的详细说明。
This article presents five concise proofs of theorems on probability theory, mathematical statistics and stochastic processes. The proofs are more comprehensible and simpler than conventional ones.
本文裒集概率论、数理统计、随机过程若干定理的简捷证法，共五款。
This article presents five concise proofs of theorems on probability theory, mathematical statistics and stochastic processes. The proofs are more comprehensible and simpler than conventional ones.
本文裒集概率论、数理统计、随机过程若干定理的简捷证法，共五款。
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