منابع مشابه
The Abel-type Transformations Into
Let t be a sequence in (0,1) that converges to 1, and define the Abel-type matrix Aα,t by ank = ( k+α k ) tk+1 n (1−tn)α+1 for α>−1. The matrix Aα,t determines a sequenceto-sequence variant of the Abel-type power series method of summability introduced by Borwein in [1]. The purpose of this paper is to study these matrices as mappings into . Necessary and sufficient conditions for Aα,t to be , ...
متن کاملA Note on Cremona Transformations
In 1883 Kantor' stated and attempted a demonstration of a theorem which asserted that the satisfaction of a system of equations by a certain set of positive integers was sufficient to assure that these integers would represent a planar Cremona transformation. Since then the theorem has been repeated several times in the literature. Recently Coolidge2 attached new significance to the theorem and...
متن کاملNote on Transitive Transformations.
I Bridges, C. B., Science N. S., 54, 252-254 (1921). 2 Schrader, F., and Sturtevant, A. H., Am. Nat., 57, 379-381 (1923). 3 Bridges, C. B., Ibid., 59, 127-137 (1925). 4 Bridges, C. B., Proc. Nat. Acad. Sci., 11, 706-710 (1925). 5 Bridges, C. B., Science N. S., 72, 405-406 (1930). 6 Schrader, F., and Hughes-Schrader, S., Quart. Rev. Biol., 6, 411-438 (1931). 7 Whiting, P. W., Jour. Hered., 26, 2...
متن کاملThe -translativity of Abel-type Matrix
Lemma introduced the Abel-type matrix Aα,t defined by ank = ( k+α k ) tk+1 n (1− tn)α+1, where α>−1, 0< tn < 1, for all n, and limtn = 1; and studied it as mappings into . In this paper, we extend our study of this matrix and investigate its translativity in the setting.
متن کاملA Note on Logarithmic Transformations on the Hopf Surface
In this note we study logarithmic transformations in the sense of differential topology on two fibers of the Hopf surface. It is known that such transformations are susceptible to yield exotic smooth structures on four-manifolds. We will show here that this is not the case for the Hopf surface, all integer homology Hopf surfaces we obtain are diffeomorphic to the standard Hopf surface.
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ژورنال
عنوان ژورنال: International Journal for Innovation Education and Research
سال: 2016
ISSN: 2411-2933,2411-3123
DOI: 10.31686/ijier.vol4.iss1.508