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一个群的基函数的选择并非唯一,不同的基函数对应不同的表示矩阵。即使相同的表示矩阵,基函数也可以有不同的选择。在相变的宏观唯象理论中,
自由能展开式可由同一个表示矩阵的基函数来构造,因而给出不可约表示的基函数表就非常有意义。现有文献给出的32点群不可约表示的基函数只写到二次幂,而且有些文献中的同一个不可约表示所选取的不同的基函数却对应不同的表示矩阵,这样在构造群变换不变式时,就会出错。该文将基函数表写至三次幂, 这有助于准确、迅速地写出到六次幂群变换不变的自由能表达式。由新的基函数表发现十八种点群有三次幂的群操作不变式, 高温相属这些点群铁电体, 发生的本征铁电相变为一级相变。 相似文献
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刘清 《南昌大学学报(理科版)》1990,14(3):1
本文建立了时态逻辑演算。在该演算系统下,若能证明一程序抽象成的时态逻辑公式是定理,则该程序是完全正确的。 相似文献
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OUTLIER TEST IN RANDOMIZED LINEAR MODEL 总被引:2,自引:0,他引:2
XIANGLIMING SHILEI 《高校应用数学学报(英文版)》1994,9(1):65-75
In this paper, we give an approach for detecting one or more outliers inrandomized linear model The likelihood ratio test statistic and its distributions under the null hypothesis and the alternative bypothesis are given. Furthermore, the rebustneas of the test statistic in a certain sere is proved. Finally, the optimality properties of the test are derived. 相似文献
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A time—dependent damped harmonic oscillator with a force quadratic in velocity 总被引:1,自引:0,他引:1
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HuangBo-Wen 《中国物理》2003,12(4):455-455
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1.曲面的标架 今天我们讲一点曲面论。微积分在曲面上应用的研究在整个数学里头是很要紧的。这是因为在曲面论中,曲面的这些性质往往扩充到其他更广的情形,而这些更广的情形变化到曲面的时候也有很多性质,在曲面的情形已经发生了。那么,曲面有个优点,就是我们假定它是在3维空间里头,所 相似文献
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图式流形 总被引:7,自引:5,他引:2
The discovery of manifold is a major advance in modern mathematics.In 1974,J.W.Morgan and D.P.Sullivan Surggest the concept of a Z/n manifold.We think that,it is more useful to suggest the concept of a graphlike manifold and research related topics.And these works will be done in this paper. 相似文献
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LINJi QIANXian-Ming 《理论物理通讯》2003,40(3):259-261
Using the (2 1)-dimensional Schwartz dcrivative, the usual (2 1)-dimensional Schwartz Kadomtsev-Petviashvili (KP) equation is extended to (n 1)-dimensional conformal invariance equation. The extension possesses Painlcvc property. Some (3 1)-dimensional examples are given and some single three-dimensional camber soliton and two spatial-plane solitons solutions of a (3 1)-dimensional equation are obtained. 相似文献
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LUOShao-Kai 《理论物理通讯》2003,40(2):133-136
For a relativistic Birkhoflan system, the first integrals and the construction of integral invariants are studied. Firstly, the cyclic integrals and the generalized energy integral of the system are found by using the perfect differential method. Secondly, the equations of nonsimultaneous variation of the system are established by using the relation between the simultaneous variation and the nonsimultaneous variation. Thirdly, the relation between the first integral and the integral invariant of the system is studied, and it is proved that, using a t~rst integral, we can construct an integral invarlant of the system. Finally, the relation between the relativistic Birkhoflan dynamics and the relativistic Hamilton;an dynamics is discussed, and the first integrals and the integral invariants of the relativistic Hamiltonian system are obtained. Two examples are given to illustrate the application of the results. 相似文献
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