共查询到20条相似文献,搜索用时 156 毫秒
1.
Olivier Esser 《Mathematical Logic Quarterly》1996,42(1):104-108
M. Forti and F. Honsell showed in [4] that the hyperuniverses defined in [2] satisfy the anti-foundation axiom X1 introduced in [3]. So it is interesting to study the axiom AFA, which is equivalent to X1 in ZF, introduced by P. Aczel in [1]. We show in this paper that AFA is inconsistent with the theory GPK. This theory, which is first order, is defined by E. Weydert in [6] and later by M. Forti and R. Hinnion in [2]. It includes all general hyperuniverses as defined in [5]. In order to achieve our aim, we need to define ordinals in GPK and to study some of their properties. Mathematics Subject Classification: 03E70, 03E10. 相似文献
2.
The purpose of this paper is to survey the theory of regular Fréchet-Lie groups developed in [1–10]. Such groups appear and are useful in symplectic geometry and the theory of primitive infinite groups of Lie and Cartan [11]. From the group theoretical standpoint, general relativistic mechanics is a more closed system than Newtonian mechanics. Quantized objects of these classical groups are closely related to the group of Fourier integral operators [12]. These can also be managed as regular Fréchet-Lie groups. However, there are many Fréchet-Lie algebras which are not the Lie algebras of regular Fréchet-Lie groups [13]. Thus, the enlargeability of the Poisson algebra is discussed in detail in this paper. Enlargeability is relevant to the global hypoellipticity [14, 15] of second-order differential operators. 相似文献
3.
C. Carstensen 《Numerische Mathematik》1991,59(1):349-360
Summary In this note a new companion matrix is presented which can be interpreted as a product of Werner's companion matrices [13]. Gerschgorin's theorem yields an inclusion of the roots of a polynomial which is best in the sense of [4] and generalizes a result of L. Elsner [5]. This inclusion is better than the one due to W. Börsch-Supan in [1].Dedicated to Professor E. Stein on the occasion of his 60th birthday. 相似文献
4.
Sergey Fomin 《Journal of Algebraic Combinatorics》1995,4(1):5-45
This paper is a sequel to [3]. We keep the notation and terminology and extend the numbering of sections, propositions, and formulae of [3].The main result of this paper is a generalization of the Robinson-Schensted correspondence to the class of dual graded graphs introduced in [3], This class extends the class of Y-graphs, or differential posets [22], for which a generalized Schensted correspondence was constructed earlier in [2].The main construction leads to unified bijective proofs of various identities related to path counting, including those obtained in [3]. It is also applied to permutation enumeration, including rook placements on Ferrers boards and enumeration of involutions.As particular cases of the general construction, we re-derive the classical algorithm of Robinson, Schensted, and Knuth [19, 12], the Sagan-Stanley [18], Sagan-Worley [16, 29] and Haiman's [11] algorithms and the author's algorithm for the Young-Fibonacci graph [2]. Some new applications are suggested.The rim hook correspondence of Stanton and White [23] and Viennot's bijection [28] are also special cases of the general construction of this paper.In [5], the results of this paper and the previous paper [3] were presented in a form of extended abstract. 相似文献
5.
R.A. Mollin 《代数通讯》2013,41(3):245-266
Kaplansky asked if in a Noetherían domain the intersection of two height 2 primes must contain a non-zero prime. This paper presents a counterexample. Some positive results are given in [2]. The construction in the example proper considerably simpli-fies the argument of [3-Theorem 2.5]. We assume familiarity with [1, Section 1-5]. 相似文献
6.
文[4]对简单形式的微分多项式fkf’+a的零点分布进行了讨论,文[1]对一般形式的微分多项式fkQ[f]+P[f]的零点分布进行了讨论.但由于极点给证明带来的困难,这些工作主要是对整函数来做的.本文证明了任一满足δ(∞,f)>k+2ΓQ+3ΓP+2/2k+2ΓQ+1的超越亚纯函数f,微分多项式fkQ[f]+P[f]在不含f,Q[f]极点和P[f]零、极点的可数个圆盘并集之外有无穷多个零点,其中k≥3Γp+2,而ΓQ,ΓP分别是f的微分多项式Q[f],P[f]的权.文[1]和[2,4,6]中的结论是本文结论的特殊情况. 相似文献
7.
Mihnea Moroianu 《Annali dell'Universita di Ferrara》1980,26(1):11-14
Resumé On donne un critère de contractibilité d'une sous-variété en un point qui genéralise certains résultats contenus dan [2],
[3] et [5].
Riassunto Si dà un criterio di contraibilità d'una sottovarietà in un punto che generalizza certi risultati contenuti in [2], [3] e [5].相似文献
8.
Alfred Doneddu 《Rendiconti del Circolo Matematico di Palermo》1980,29(3):337-346
A new class of extensions of skew fields, the so-called «hexaphic extensions», is studied in this paper. This study follows up «Anneaux polynômiaux à deux variables» [3] and «Anneaux hexaphiques d'une variable» [4]. A sub-class of hexaphic extensions is formed by pseudo-linear extensions. The general quadratic extensions are pseudo-linear [1]. General finite pseudo-linear extensions are now known [2]. In this paper, the hexaphic nature of general cubic extensions is shown and general finite hexaphic extensions are studied. 相似文献
9.
Lotfi Abdelhakim 《PAMM》2004,4(1):348-349
The bilateral or unilateral contact problem with Coulomb friction between two elastic bodies is considered [1]. An algorithm is introduced to solve the resulting finite element system by a non‐overlapping domain decomposition method [2, 3]. The global problem is transformed to a independant local problems posed in each bodie and a problem posed on the contact surface (the interface problem). The solution is obtained by using a successive approximation method, in each step of this algorithm we solve two intermediate problems the first with prescribed tangential pressure and the second with prescribed normal pressure [8]. Our preconditioner construction is based on the application of the H‐matrix technique [6, 7] together with the representation of the H1/2 seminorm by a sum of partial seminorms [4]. (© 2004 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim) 相似文献
10.
Jinhai Chen Ioannis K. Argyros 《Journal of Computational and Applied Mathematics》2010,234(5):1473-1484
The semi-local convergence of a Newton-type method used to solve nonlinear equations in a Banach space is studied. We also give, as two important applications, convergence analyses of two classes of two-point Newton-type methods including a method mentioned in [5] and the midpoint method studied in [1], [2] and [12]. Recently, interest has been shown in such methods [3] and [4]. 相似文献
11.
Susan Tolman 《Inventiones Mathematicae》1998,131(2):299-310
An important question with a rich history is the extent to which the symplectic category is larger than the K?hler category.
Many interesting examples of non-K?hler symplectic manifolds have been constructed [T] [M] [G]. However, sufficiently large
symmetries can force a symplectic manifolds to be K?hler [D] [Kn]. In this paper, we solve several outstanding problems by
constructing the first symplectic manifold with large non-trivial symmetries which does not admit an invariant K?hler structure.
The proof that it is not K?hler is based on the Atiyah-Guillemin-Sternberg convexity theorem [At] [GS]. Using the ideas of
this paper, C. Woodward shows that even the symplectic analogue of spherical varieties need not be K?hler [W].
Oblatum IX-1995 & 3-III-1997 相似文献
12.
H. Lefmann 《Combinatorica》1989,9(2):153-160
This paper exposes connections between the theory of Möbius functions and extremal problems, extending ideas of Frankl and Pach [8]. Extremal results concerning the trace of objects in geometric lattices and Graham—Rothschild parameter posets are proved, covering previous results due to Sauer [16] and Perles and Shelah [17]. 相似文献
13.
Yu. L. Ershov 《Siberian Mathematical Journal》2011,52(5):836-839
The explicit form is given of the separants of the polynomials of the author’s previous article [1]. This entails clarification
of the main theorem of [1]. 相似文献
14.
二次型极值已被一些文献诸如[1]和[3]讨论,一些相近的题目可在文献[2]中见到.文献[1]得到与二次型有关的行列式极值和典则变量的最优性质,本文对[1]给出补注. 相似文献
15.
Edoardo Ballico Claudio Fontanari Luca Tasin 《Rendiconti del Circolo Matematico di Palermo》2010,59(1):121-125
We investigate Koszul cohomology on irreducible nodal curves following the lines of [2]. In particular, we prove both Green
and Green-Lazarsfeld conjectures for any k-gonal nodal curve which is general in the sense of [4]. 相似文献
16.
Clear effects criterion is an important criterion for selecting fractional factorial designs[1].Tang et al.[2]derived upper and lower bounds on the maximum number of clear two-factor interactions(2fi's)in 2^n-(n-k)designs of resolution Ⅲ and Ⅳ by constructing 2^n-(n-k)designs.But the method in[2]does not perform well sometimes when the resolution is Ⅲ.This article modifies the construction method for 2^n-(n-k) designs of resolution Ⅲ in[2].The modified method is a great improvement on that used in[2]. 相似文献
17.
Ioannis K. Argyros 《Monatshefte für Mathematik》1990,109(3):175-193
We study the Newton-Kantorovich method under mild differentiability conditions. Using Zabrejko-Nguen assumptions we extend the results obtained byZabrejko andNguen in [11]. We also derive Ptâk error estimates which compare favorably with the ones obtained previously byKeller [4],Rokne [7], andArgyros in [1]. 相似文献
18.
Hans Günzler 《Rendiconti del Circolo Matematico di Palermo》2005,54(1):5-36
For the finitely additive case approximate Radon-Nikodym representations are obtained in the setting of Riesz algebras, complementing
and generalizing results of Bochner [4], Fefferman [10], de Amo, Chitescu and Díaz Carrillo [1]. Furthermore the possible
relations between the various spaces which appear here are given, answering a question of [1]. Various examples show that
our results are sharp, there also the class of approximately representable functionals is explicitly characterized, a partial
answer to another question of [1]. Finally some open questions are listed. 相似文献
19.
Jürgen Richter-Gebert 《Discrete and Computational Geometry》1993,10(1):287-312
This paper deals with various connections of oriented matroids [3] and weaving diagrams of lines in space [9], [16], [27].
We encode the litability problem of a particular weaving diagramD onn lines by the realizability problem of a partial oriented matroid χ
D
with2n elements in rank 4. We prove that the occurrence of a certain substructure inD implies that χD is noneuclidean in the sense of Edmonds, Fukuda, and Mandel [12], [14]. Using this criterion we construct an infinite class
of minor-minimal noneuclidean oriented matroids in rank 4. Finally, we give an easy algebraic proof for the nonliftability
of the alternating weaving diagram on a bipartite grid of 4×4 lines [16]. 相似文献
20.
A. V. Ivanov 《Combinatorica》1989,9(3):255-260
Three new strongly regular graphs on 256, 120, and 135 vertices are described in this paper. They satisfy thet-vertex condition — in the sense of [1] — on the edges and on the nonedges fort=4 but they are not rank 3 graphs. The problem to search for any such graph was discussed on a folklore level several times and was fixed in [2]. Here the graph on 256 vertices satisfies even the 5-vertex condition, and has the graphs on 120 and 135 vertices as its subgraphs. The existence of these graphs was announced in [3] and [4]. [4] contains M. H. Klin's interpretation of the graph on 120 vertices. Further results concerning these graphs were obtained by A. E. Brouwer, cf. [5]. 相似文献