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61.
62.
J. Marshall Ash Sh. T. Tetunashvili 《Proceedings of the American Mathematical Society》2006,134(6):1681-1686
If at each point of a set of positive Lebesgue measure every rearrangement of a multiple trigonometric series square converges to a finite value, then that series is the Fourier series of a function to which it converges uniformly. If there is at least one point at which every rearrangement of a multiple Walsh series square converges to a finite value, then that series is the Walsh-Fourier series of a function to which it converges uniformly.
63.
Propagation of cracks in elastic media 总被引:1,自引:0,他引:1
64.
The spatial distributions of two species of tree result in a bivariate pattern. This pattern characterizes biological mechanism involved within a forest with the spatial localization of the trees. If we consider simultaneously two species, the main question is not to describe the marginal distribution of each species but to describe the relationship between the repartitions of the two species under study. The relationship between two clouds of points can be described in various ways and therefore many indices can be defined. Each index will give a specific information about these relationships and will greatly depends on the ecological mechanisms, i.e., the point process that leads to the observed repartition. The aim of this article is to review the leading indices in ecology and to provide guidelines for practical use. To mimic ecological situations, we simulated 13 point process that can model classical relationships between two species of trees and compute nine classical indices. The interest of the various indices are discussed. A R package for simulating the point process and to compute the indices is available on request. The package is available upon request at picard@cirad.fr or avner@inapg.fr 相似文献
65.
66.
Ash and Nerode [2] gave natural definability conditions under which a relation is intrinsically r. e. Here we generalize this to arbitrary levels in Ershov's hierarchy of Δ sets, giving conditions under which a relation is intrinsically α-r. e. Mathematics Subject Classification: 03C57, 03D55. 相似文献
67.
Abe K Abt I Ahn CJ Akagi T Allen NJ Ash WW Aston D Baird KG Baltay C Band HR Barakat MB Baranko G Bardon O Barklow T Bazarko AO Ben-David R Benvenuti AC Bienz T Bilei GM Bisello D Blaylock G Bogart JR Bolton T Bower GR Brau JE Breidenbach M Bugg WM Burke D Burnett TH Burrows PN Busza W Calcaterra A Caldwell DO Calloway D Camanzi B Carpinelli M Cassell R Castaldi R Castro A Cavalli-Sforza M Church E Cohn HO Coller JA Cook V Cotton R Cowan RF Coyne DG D'Oliveira A Damerell CJ Daoudi M 《Physical review D: Particles and fields》1996,53(3):1023-1038
68.
Abe K Abt I Ahn CJ Akagi T Allen NJ Ash WW Aston D Baird KG Baltay C Band HR Barakat MB Baranko G Bardon O Barklow T Bazarko AO Ben-David R Benvenuti AC Bienz T Bilei GM Bisello D Blaylock G Bogart JR Bolton T Bower GR Brau JE Breidenbach M Bugg WM Burke D Burnett TH Burrows PN Busza W Calcaterra A Caldwell DO Calloway D Camanzi B Carpinelli M Cassell R Castaldi R Castro A Cavalli-Sforza M Church E Cohn HO Coller JA Cook V Cotton R Cowan RF Coyne DG D'Oliveira A Damerell CJ Daoudi M 《Physical review letters》1995,75(23):4173-4177
69.
Abe K Abt I Ahn CJ Akagi T Ash WW Aston D Bacchetta N Baird KG Baltay C Band HR Barakat MB Baranko G Bardon O Barklow T Bazarko AO Ben-David R Benvenuti AC Bienz T Bilei GM Bisello D Blaylock G Bogart JR Bolton T Bower GR Brau JE Breidenbach M Bugg WM Burke D Burnett TH Burrows PN Busza W Calcaterra A Caldwell DO Calloway D Camanzi B Carpinelli M Cassell R Castaldi R Castro A Cavalli-Sforza M Church E Cohn HO Coller JA Cook V Cotton R Cowan RF Coyne DG D'Oliveira A Damerell CJ Dasu S 《Physical review letters》1995,74(15):2895-2899
70.
Avner Ash 《Proceedings of the American Mathematical Society》1997,125(11):3209-3212
We prove that any Hecke eigenclass in the mod cohomology of a congruence subgroup of or has attached to it a mod Galois representation such that the characteristic polynomial of a Frobenius element at a prime equals the Hecke polynomial at .