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121.
The general centered form for multi-variate polynomials is investigated and a computing procedure is proposed that results in a certain superset. Based on this procedure the optimal centered forms for monomials and for some special cases of polynomials are investigated. 相似文献
122.
E. Celeghini R. Giachetti A. Reyman E. Sorace M. Tarlini 《Letters in Mathematical Physics》1991,23(1):45-49
Quantum pseudo-orthogonal groups SO
q
(n+1,n–1) are defined as real forms of quantum orthogonal groups SO
q
(n+1,n–1) by means of a suitable antilinear involution. In particular, the casen=2 gives a quantized Lorentz group. 相似文献
123.
Panagiotis Soules 《Archiv der Mathematik》2003,80(5):449-457
For soluble groups, the Fitting length is bounded by a function of the maximum order
of the Fitting subgroups of 2-generator subgroups. 相似文献
124.
In 1965 Knuth (J. Algebra 2 (1965) 182) noticed that a finite semifield was determined by a 3-cube array (aijk) and that any permutation of the indices would give another semifield. In this article we explain the geometrical significance of these permutations. It is known that a pair of functions (f,g) where f and g are functions from GF(q) to GF(q) with the property that f and g are linear over some subfield and g(x)2+4xf(x) is a non-square for all x∈GF(q)∗, q odd, give rise to certain semifields, one of which is commutative of rank 2 over its middle nucleus, one of which arises from a semifield flock of the quadratic cone, and another that comes from a translation ovoid of Q(4,q). We show that there are in fact six non-isotopic semifields that can be constructed from such a pair of functions, which will give rise to six non-isomorphic semifield planes, unless (f,g) are of linear type or of Dickson-Kantor-Knuth type. These six semifields fall into two sets of three semifields related by Knuth operations. 相似文献
125.
In this paper, we study the Hilbert–Samuel function of a generic standard graded K-algebrawhen refined by an (ℓ)-adic filtration, ℓ being a linear form. From this we obtain a structure theorem which describes the stairs of a generic complete intersection for the degree-reverse-lexicographic order. We show what this means for generic standard (or Gröbner) bases for this order; in particular, we consider an “orderly filling up” conjecture, and we propose a strategy for the standard basis algorithm which could be useful in generic-like cases. 相似文献
K[X1,…,Xn]/(g1,…,gm)
126.
Jean Dolbeault Maria J Esteban Michael Loss Luis Vega 《Journal of Functional Analysis》2004,216(1):1-21
We prove some sharp Hardy-type inequalities related to the Dirac operator by elementary, direct methods. Some of these inequalities have been obtained previously using spectral information about the Dirac-Coulomb operator. Our results are stated under optimal conditions on the asymptotics of the potentials near zero and near infinity. 相似文献
127.
Baisheng Yan 《Bulletin des Sciences Mathématiques》2003,127(6):467-483
We study the solvability of special vectorial Hamilton-Jacobi systems of the form F(Du(x))=0 in a Sobolev space. In this paper we establish the general existence theorems for certain Dirichlet problems using suitable approximation schemes called W1,p-reduction principles that generalize the similar reduction principle for Lipschitz solutions. Our approach, to a large extent, unifies the existing methods for the existence results of the special Hamilton-Jacobi systems under study. The method relies on a new Baire's category argument concerning the residual continuity of a Baire-one function. Some sufficient conditions for W1,p-reduction are also given along with certain generalization of some known results and a specific application to the boundary value problem for special weakly quasiregular mappings. 相似文献
128.
10-对硝基苯氧基癸酸合成工艺的改进 总被引:1,自引:0,他引:1
对10-对硝基苯氧基癸酸合成工艺进行了改进.以10-溴代癸酸为原料,与甲醇反应生成10-溴代癸酸甲酯,再与对硝基酚钠反应生成10-对硝基苯氧基癸酸甲酯,最后以固定化脂肪酶水解得到10-对硝基苯氧基癸酸.对中间体的折光率和紫外-可见光谱进行分析,并通过紫外-可见光谱1、H-NMR和13C-NMR以及酶分析应用对最终产物进行确证.结果表明,成功合成出目标化合物,总收率达到71.6%. 相似文献
129.
Martin Traizet 《Commentarii Mathematici Helvetici》2004,79(4):798-825
We prove a balancing condition for weak limits of
families of embedded
minimal surfaces of finite total curvature. We use it to
prove compactness theorems for certain families of minimal
surfaces. 相似文献
130.
Shigeyasu Kuroda Mitsunori Oda Shengli Zuo Mayumi Kyogoku Ryuta Miyatake 《Tetrahedron letters》2004,45(43):8119-8122
A new cyclobutene-fused 1,6-methano[10]annulene was synthesized by pyrolysis of the sulfone and sulfinate adducts of 3,4-bis(methylene)-1,6-methano[10]annulene and its physical and chemical properties were disclosed. 相似文献