共查询到20条相似文献,搜索用时 0 毫秒
1.
蒋春暄 《数学物理学报(B辑英文版)》1985,(3)
The properties of the stable group theory are discussed. The mathematical models of the insect legs, a pair of hands, and human chromosomes are established using stable group theory. The two postulates: the prime-number principle and the symmetric principle, and a new evolution theory in the biology are suggested. The brain structures and the structures of the nervous system can be studied using above two principles. 相似文献
2.
《代数通讯》2013,41(4):1759-1772
We describe a method to determine up to isomorphism the groups of order q n · p for a fixed prime-power q n and indeterminate prime p ≠ q. We report on the explicit construction of all groups of order 2 n · p for n ≤ 8 and 3 n · p for n ≤ 6. In particular, we show that there are 1 090 235 groups of order 768. 相似文献
3.
The order of approximation for Newman-type rational interpolation to |x| is studied in this paper. For general set of nodes, the extremum of approximation error and the order of the best uniform approximation are estimated. The result illustrates the general quality of approximation in a different way. For the special case where the interpolation nodes are $x_i = \left( {\frac{i}{n}} \right)^r (i = 1,2, \cdots ,n;r > 0)$x_i = \left( {\frac{i}{n}} \right)^r (i = 1,2, \cdots ,n;r > 0) , it is proved that the exact order of approximation is O( \frac1n ),O( \frac1nlogn ) and O( \frac1nr )O\left( {\frac{1}{n}} \right),O\left( {\frac{1}{{n\log n}}} \right) and O\left( {\frac{1}{{n^r }}} \right) , respectively, corresponding to 01. 相似文献
4.
《分析论及其应用》2002,(2)
The order of approximation for Newman-type rational interpolation to |x| is studied in this paper. For general set of nodes, the extremum of approximation error and the order of the best uniform approximation are estimated. The result illustrates the general quality of approximation in a different way. For thespecial case where the interpolation nodes are xi= (i/n)(i= 1,2,…,n;r>0) , it is proved that the exact order of approximation is O(1/n),O(1/nlogn) and O(1/n), respectively, corresponding to O1. 相似文献
5.
We obtain a complete list of homogeneous hypercomplex structures on the compact Lie groups. The substantial results are formulated and proved entirely in terms of the structure theory of Lie groups and algebras. 相似文献
6.
ONTHEEXISTENCEOFPERIODICSOLUTIONSTOCERTAINFOURTHORDERDIFFERENTIALEQUATIONFengChunhua(冯春华)(GuangxiNormalUniversity,广西师范大学,邮编:5... 相似文献
7.
In this papar,we give some conditions and methods about expressing an evenpermutation as a product of two equitype permutations of order 2 or 2; and expres-sing an odd permutation as a product of two quasi-equitype involutions.We provethat any even permutation can be expressed as a product of two equitypeinvolutions. And except one special case,any even permutation Can be expressedas a product of two equitype permutations of order 3. 相似文献
8.
Cao Tingbin 《Annals of Differential Equations》2005,21(2):111-122
In this paper, we investigate complex homogeneous and non-homogeneous higher order linear differential equations with meromorphic coefficients. We obtain several results concerning the iterated order of meromorphic solutions, and the iterated convergence exponent of the zeros of meromorphic solutions. 相似文献
9.
CHEN Zongxuan 《数学年刊B辑(英文版)》2003,24(4):501-508
The author investigates the hyper order of Solutions of the higher order linear equation, and improves the results of M. Ozawa[15], G. Gundersen[6] and J. K. Langley[12]. 相似文献
10.
设G是2~2p~3阶群,S_2,S_p分别为G之sylow 2-群与sylow p-群,由于p≠3,S_pΔG,且S_p∩S_2=1,G=S_2S_p由ο(S_2)=4,知S_2或为循环群或为初等交换群,由ο(S_p)=p~3(p≠2),推出共有五种类型的群。 1.S_p=(?)Z_p, 由群之扩展理论,容易得到如下5个群: 相似文献
11.
顾永耕 《数学物理学报(B辑英文版)》1991,(4)
§ 1. Introduction Let Ω be a smooth bounded domain in R~n with n≥2. We are concerned with the eigenvalue problem where v is the unit outward normal to Ω. According to the theory of eigenvalue, problem (1.1) has discrete real eigenvalue. They can be lined into 相似文献
12.
王庆人 《数学物理学报(B辑英文版)》1988,(1)
Higher order local behavior, including direction and curve shape, of the buckling branches in the boundary value problems is discussed. A series of typical examples are analysed using the formula given in this paper. Computer experiments are also conducted on these examples, which coincide with the analytical results very well, and hence justify the theoretical formula. 相似文献
13.
Let G be a finite group and π(G) = { p 1 , p 2 , ··· , p k } be the set of the primes dividing the order of G. We define its prime graph Γ(G) as follows. The vertex set of this graph is π(G), and two distinct vertices p, q are joined by an edge if and only if pq ∈π e (G). In this case, we write p ~ q. For p ∈π(G), put deg(p) := |{ q ∈π(G) | p ~ q }| , which is called the degree of p. We also define D(G) := (deg(p 1 ), deg(p 2 ), ··· , deg(p k )), where p 1 < p 2 < ··· < p k , which is called the degree pattern of G. We say a group G is k-fold OD-characterizable if there exist exactly k non-isomorphic finite groups with the same order and degree pattern as G. Specially, a 1-fold OD-characterizable group is simply called an OD-characterizable group. Let L := U 6 (2). In this article, we classify all finite groups with the same order and degree pattern as an almost simple groups related to L. In fact, we prove that L and L.2 are OD-characterizable, L.3 is 3-fold OD-characterizable, and L.S 3 is 5-fold OD-characterizable. 相似文献
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16.
The asymptotic behavior of solutions to certain integro-differential equation of arbitrary order is studied. Examples are given to illustrate the results. 相似文献
17.
Let f(x) be an arbitrary continuous function on [-1, 1] and letus denote T_n(x)=cos nθ, x=cos θ,T_n(x) is to be known as the first kind of Chebyshev polynomial ofdegree n. The zeros. of T_n(x) are 相似文献
18.
朱国城 《应用数学学报(英文版)》1987,(3)
Hamiltonian structures of the cylindrical Korteweg-deVries equation and its higher order equationsare found.The connection between the generalized C-KdV equation and nonisospectral problem is.pointed out. 相似文献
19.
《数学年刊A辑(中文版)》1980,(1)
For many years, it has been the desire of Chinese mathematicians to have more mathematical journals in our country so as to publish greater numbers of mathematical papers and let the world share the major results of our mathematical research in the shortest possible time. Answering this wish, we have launched the Chinese Annals of Mathematics (CAM) into our new Chinese scientific resurgence, thanks to the support 相似文献
20.
GLOBALSTRUCTURESOFTHEPLANECUBICSYSTEMWITHTHESTELLARNODEYangDianwu(杨殿武)(JinanUniversity,济南大学,邮编:250002)YaoWeihong(姚蔚红)(JinanEd... 相似文献