子模

The notion of the adjoint operator of amodule homomorph ism defined on a densely submodule of a comp lete random inner p roduct module is introduced and discussed, in particular the closedness of adjoint operators is p roved.

摘 要 对定义在完备随机内积模的稠子模上的模同态引入了共轭算子的概念并讨论其基本性质，尤其证明了共轭算子的闭性。

Prove that the endomorphic ring of any simple module is a division ring.

假如非零模 M的子模仅有零子模和自身，那么称M为单模，证明单模的自同态环为除环。

The numerical result shows that the contributions from the interface optical phonon mode with higher frequency and the LO-like half space mode to the binding energy and the Stark energy shift are important and obviously increase with increasing hydrostatic pressure, whereas the interface optical phonon mode with lower frequency and the TO-like half space mode are extremely small and are insensitive to the impurity position and hydrostatic pressure.

数值计算结果表明，高频支界面声子模和类LO半空间声子模对于结合能和斯塔克能移的影响是主要的，且随压力的增加而显著增大，而低频支界面声子模和类TO声子模的作用则很小，且对于杂质位置和流体静压力的变化不敏感。

A second subnumber is calculated for the second number as the multiplicative inverse of the first number with respect to a second submodule (120) that equals the second prime number minus 1, the first submodule and the second submodule being relatively prime.

计算该第二数的一个第二子数做为该第一数的相对于一个第二子模数(120)的一个倍数逆数，该第二子模数等于第二质数减1，第一子模数与第二子模数互质。

The technological characteristics of the key part G1diaphragm of the electric gun of the kinescope is analyzed.

分析了彩色显像管电子枪关键零件G1膜片的工艺特点，介绍了成形该零件的子模式级进模的排样设计、模具结构，并详细介绍了各子模的结构特点。

The structure of prime submodules of free modules is depicted and a calculable formula about prime dimensions of free modules is given.

对自由模的素子模是进行了刻画，给出了自由模的素子模的结构为(PF，u1，u2，…，us)，且给出了自由模的素维数的计算公式D=dimA+rankF-1。

Basing on the existing theory of crisp matroids and fuzzy matroids, the paper studies mainly fuzzy rank function and fuzzy submodularity function, The main contributions of the pap...

本文在现有拟阵和模糊拟阵理论的基础上主要研究了模糊秩函数以及模糊子模函数等内容，现分述如下：(1)从传统的子模函数出发，定义了模糊子模函数。

In chapter 1, we introduce the development of module theory and it s applications in the development of algebra,and present conditions of development of prime submodule s,prime radicals,isolated submodules.

本文讨论了环与模范畴中一个重要的子模类—孤立子模的一些性质以及它与强不可约子模等之间的一些联系，并引入了强孤立子模和局部孤立子模的概念，探讨了它们的一系列性质，在第一章中，介绍了模论的发展，模论在代数的发展中所起的重要作用以及素子模，素根和孤立子模的发展现状；在第二章中，给出了与本课题有关的重要概念及其结论。

Five years later, genghis khan's dabie-sulu ingot pike towards JinGuo oppressors. A wild ling fox. 8 jin j, genghis khan ambitious team suffered. Gold xuang zong and prince in kaifeng. Have previously immigrated Genghis khan sent in 1216 businessmen to 450 at the western powers thorns modes trade. Thorns will modes in Sudan buccaneering parties in Mongolia is after death. Genghis khan, this year the way he has 60. Once in the world of conquerors modes of thorns, facing the kingdom of Mongol armies in Sudan, frighten panic attacks, and give away the capital, only TianXian LvZhong escape. Although also appeared in Zagreb LanDing prince of national hero, also had inspiring resistance, but not only save the collapse. The queen was captured in the Caspian sea, Sudan a tragic death on the island.

五年后，成吉思汗的苏鲁锭长枪指向了压迫者金国一场野狐岭决战金军主力大败，成吉思汗兵临城下金宣宗与太子相继南迁在开封建都1216年，成吉思汗派450名商人到当时的西方大国花刺子模通商花刺子模边将杀人越货于前，苏丹杀蒙古正使于后成吉思汗愤然西征，这一年他已经年逾花甲了曾经以世界征服者自居的花刺子模国苏丹，面对蒙古大军的进攻，吓得惊慌失措，丢弃首都，放弃天险，只知率众逃跑尽管也出现了札兰丁王子那样的民族英雄，也曾有过可歌可泣的抵抗，却挽救不了王族的覆灭太后被俘了，苏丹在里海的一个海岛上悲惨地死去了！

The first-order and second-order Raman scatterings of the silicon nanowires were studied in a temperature range from 123 K to 633 K.

在123K到633K范围内研究了纳米硅线Raman光谱的温度依赖关系，应用热效应非简谐过程，声子限域模型和晶格扩展效应分析研究结果；引入光子－电子－声子Raman散射过程解释了声学声子模峰强与光学声子模峰强的比值的温度依赖关系。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。