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To the moduli with special forms (such as Mersenne numbers, pseudo-Mersenne numbers, generalized Mersenne numbers), we analysis and study modular arithmetic laws, and obtain the conclusions as follows: for Mersenne numbers and pseudo-Mersenne numbers, we get modular arithmetic formulas, and determine exact expressions of the number of modular addition to generalized Mersenne numbers generated by irreducible monic trinomials and pentanomials.

针对具有特殊形式的模数(如Mersenne数，伪Mersenne数，广义Mersenne数等)，深入分析了其取模运算规律，得到如下结果：对Mersenne数和伪Mersenne数，给出了取模运算转换为模加或模减运算的公式；对模数为任意首一三项式和五项式产生的广义Mersenne数，推导了相应取模运算的复杂度计算解析表达式。

Some right expressions relating to solution composition, such as mass fraction, volume fraction, mass concentration, molarity and volume ratio were intro...

对溶液组成标度，如质量分数、体积分数、质量浓度、物质的量的浓度、体积比的正确表述也一一进行了介绍。

Based on the theory of matrix variate distribution, we derive exact closed-form expressions of the moment generating function of mutual information of MIMO channels with interference.

利用矩阵变量分布理论，论文推导出一些典型情况下交互信息的矩生成函数精确封闭表达式，然后利用这些表达式，给出了相应情况下平均信道容量的精确封闭表式。

In terms of average Symbol-Error Rate at the destination, the performances of multi-relay cooperative transmission with Maximal Ratio Combining detection and opportunistic relaying with multi-node listening were analyzed, one relay retransmitting in Amplify-and-Forward networks under independent Rayleigh slow fading channels. The closed-form expressions of SER for M-PSK and M-QAM modulations are also derived based on Moment Generating Function.

该文从接收端平均误符号率的角度，分析了独立的瑞利衰落信道下，采用放大转发的多中继协同最大比合并检测方案和多节点侦听，单中继转发的机会中继方案的性能；并基于矩生成函数推导出两种方案下M-PSK和M-QAM调制信号平均误符号率的闭合表达式。

Following the analysis, a new calculation model is developed, which takes the effect of the induced dipole moment of one atom on the polarizability into consideration, and the mathematical expressions are deduced in the cases of macro electric field parallel and perpendicular to the molecular axis, and at a random angle with the axis.

该模型考虑了分子内原子偶极矩对电子位移极化的影响，推导了宏观电场与分子轴平行、垂直、呈任意夹角等典型情况下的非对称双原子分子的电子位移极化率的数学模型。

The expressions concerning the moment of inertia and the angular momentum of the fluid outer core, the solid inner core and the Earth as whole has been given.

同时给出了液体外核、固体内核和整体地球的转动惯量张量和角动量的具体表达式。

Lendis also required in fixed expressions such as lend-lease and moneylender.

Lend也用于固定词组如平等租借交换和放债者中

There are many "white" system words and expressions between Chinese and Mongolian.

不同的颜色在人们心目中产生的心理效应是不一样的。

Object To investigate the effects of chronic nicotine treatment on the functions and gene expressions of monoamine receptor.

目的 研究烟碱对多巴胺受体、肾上腺素受体、5 羟色胺受体功能及基因表达的影响。

Cyril proclaimed it in a letter to John beginning Ltentur cli, in which he clearly condemned beforehand the Monothelite, if not the Monophysite, views, which were to be unfortunately based on certain ambiguities in his earlier expressions.

西里尔宣布它在信中开头Ltentur约翰约瑟夫，他在事先明确谴责的Monothelite ，如果不是Monophysite ，意见，这是不幸的是基於某些含糊不清的他早先的表述。

We have no common name for a mime of Sophron or Xenarchus and a Socratic Conversation; and we should still be without one even if the imitation in the two instances were in trimeters or elegiacs or some other kind of verse--though it is the way with people to tack on 'poet' to the name of a metre, and talk of elegiac-poets and epic-poets, thinking that they call them poets not by reason of the imitative nature of their work, but indiscriminately by reason of the metre they write in.

索夫农 、森那库斯和苏格拉底式的对话采用的模仿没有一个公共的名称；三音步诗、挽歌体或其他类型的诗的模仿也没有——人们把&诗人&这一名词和格律名称结合到一起，称之为挽歌体诗人或者史诗诗人，他们被称为诗人，似乎只是因为遵守格律写作，而非他们作品的模仿本质。

The relationship between communicative competence and grammar teaching should be that of the ends and the means.

交际能力和语法的关系应该是目标与途径的关系。