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Aiming at the problem of Markova chain state transition prediction, this paper presents equivalent prediction method and models based on Discrete Process Neural Networks. According to the description of system state transition problems in a certain condition, we discuss the equivalence relation between DPNN and Markov models.

针对Markov链状态转移预测，提出一种基于离散过程神经元网络的等效状态转移预测方法和模型，探讨DPNN与Markov模型在一定条件下对于系统状态转移特性描述的等价性问题。

Using the non-linear mapping mechanism and the ability in learning adaptively of DPNN against time sequence samples, we train these samples and can determine the DPNN that meets time sequence state transition constraint relations of Markova chain. The connection weight matrix of the DPNN is regarded as the equivalent state transition matrix of Markova chain.

利用DPNN对时间序列样本的非线性映射机制和自适应学习能力，可通过对时间序列样本集的训练，确定满足Markov链时间序列状态转移约束关系的DPNN，并将其连接权矩阵作为Markov链等效状态转移矩阵。

This paper presented a new method of generating synthetic, seismograms of wave theory in frequency domain and gave the diffraction equation in frequency domain, which is equivalent to Kirchhoff one.

本文提出一种新的方法，在频率域中制作波动理论的合成记录，给出了与克希霍夫绕射波方程等价的频率域中的绕射波方程。

The rocket attack killed one man and wounded four others, according to the Magen David Adom, Israel's equivalent of the Red Cross.

在以色列轰炸加沙的巴勒斯坦前缘地带后，2008年12月27日火箭击中了以色列南部城镇内底佛特。

Max von Laue showed in 1910 that Poincaré's model is formally correct, but it is only one of many possible and equivalent compensation mechanisms.

Max von Laue在1910年证明了Poincaré的模型是正确的，然而这只是很多可能性和等效理论中的一种。

Summary In copyright infringement cases,if the alleged infringer uses or even plagiarizes the copyrighted works or parts thereof,which causes no substantially adverse effect on the normal exploitation of the work,nor does it inflict any substantial damages to the right owner,the de minis doctrine should be applied to exempt the liabilities of the defendant and seek the balance of interests between the right owner and the general public embodied by the copyright law.

在侵犯著作权案件中，如果被控侵权行为人虽未经著作权人的同意，使用甚至抄袭了受著作权保护的作品或作品的片段，但若情节轻微，未对该作品的正常使用产生任何实质不利的影响，亦未对权利人的权利造成实质性的损害，则应适用&不计琐细原则&，免除行为人的责任，以寻求在权利人利益与著作权法所体现的社会公共利益之间的平衡。

This new product will become our best seller.

这个新产品会成为我们最畅销的产品。