منابع مشابه
A fast algorithm for reversion of power series
We give an algorithm for reversion of formal power series, based on an efficient way to evaluate the Lagrange inversion formula. Our algorithm requires O(n1/2(M(n)+MM(n1/2))) operations where M(n) and MM(n) are the costs of polynomial and matrix multiplication respectively. This matches an algorithm of Brent and Kung, but we achieve a constant factor speedup whose magnitude depends on the polyn...
متن کاملUniserial modules of generalized power series
Let R be a ring, M a right R-module and (S,≤) a strictly ordered monoid. In this paper we will show that if (S,≤) is a strictly ordered monoid satisfying the condition that 0 ≤ s for all s ∈ S, then the module [[MS,≤]] of generalized power series is a uniserial right [[RS,≤]] ]]-module if and only if M is a simple right R-module and S is a chain monoid.
متن کاملThe power and size of mean reversion tests
The power of mean reversion tests has long been a tacit issue of the market efficiency literature. Early tests of market efficiency, as summarized in Fama Ž . 1970 , found no economically significant evidence of serial correlation in stock Ž . returns. However, Summers 1986 later suggested that this was because these tests lacked power: Summers suggested a model of AfadsB in which stock prices ...
متن کاملON ANNIHILATOR PROPERTIES OF INVERSE SKEW POWER SERIES RINGS
Let $alpha$ be an automorphism of a ring $R$. The authors [On skewinverse Laurent-serieswise Armendariz rings, Comm. Algebra 40(1)(2012) 138-156] applied the concept of Armendariz rings to inverseskew Laurent series rings and introduced skew inverseLaurent-serieswise Armendariz rings. In this article, we study on aspecial type of these rings and introduce strongly Armendariz ringsof inverse ske...
متن کاملALGEBRAIC INDEPENENCE OF CERTAIN FORMAL POWER SERIES (II)
We shall extend the results of [5] and prove that if f = Z o a x ? Z [[X]] is algebraic over Q (x), where a = 1, ƒ 1 and if ? , ? ,..., ? are p-adic integers, then 1 ? , ? ,..., ? are linkarly independent over Q if and only if (1+x) ,(1+x) ,…,(1+x) are algebraically independent over Q (x) if and only if f , f ,.., f are algebraically independent over Q (x)
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ژورنال
عنوان ژورنال: The London, Edinburgh, and Dublin Philosophical Magazine and Journal of Science
سال: 1910
ISSN: 1941-5982,1941-5990
DOI: 10.1080/14786440308636811