[PDF] Top 20 A new proof of Halász’s theorem, and its consequences
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A new proof of Halász’s theorem, and its consequences
... Hoheisel’s theorem that there are many primes in inter- vals [x, x + x 1−δ ] for some δ > 0, and Linnik’s theorem that the least prime p ≡ a (mod q) is below q L for an absolute constant ...Linnik’s ... See full document
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PP 2008 18: A New Proof of the Jayne Rogers Theorem
... Now we are ready to prove Theorem 2.1. The proof essentially uses recur- sively Lemma 2.3 applied to smaller and smaller subspaces of X to construct some sequences, and Lemma 2.4 will guarantee that at each ... See full document
8
A new proof of a theorem about generalized orthogonal polynomials
... Conversely, a theorem due to Favard [2] states that if a sequence of polynomials satisfies 1.2 then a distribution function ctx exists such that 1.1 holds.. It is also known that the fun[r] ... See full document
5
Amenable Coverings of Complex Manifolds and Holomorphic Probability Measures
... Outline of the paper. §2 states the main result of this paper (Theorem 2.1, Efficiency implies amenability) and applies it to give a new proof of Theorem 1.1. Theorem 2.1 is proved in ... See full document
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PP 2017 13: A new proof of the McKinsey Tarski Theorem
... McKinsey-Tarski Theorem have been produced for specific dense-in-itself metrizable spaces such as the real line [1, 7, 16], the rational line [3], and the Cantor discontinuum [15, ...These new proofs ... See full document
14
An Informational Proof of H Theorem
... The proof of H-Theorem by means of concepts from probability and information theory has an interest going beyond the technical aspects of the ...to new paradigms of informational inference and of ... See full document
15
A new proof of a theorem of Hubbard and Oberste-Vorth
... V , hence its projection on the first coordinate z/a belongs to U so it is bounded away from the critical points of p (and the bound is independent of a). It follows that p (z/a) is bounded away from , so p (z/a) ... See full document
15
A study of exactness for discrete groups
... Guentner and Kaminker illustrated their theorem by showing that the Hilbert Space compression of a finite rank free group is 1 thus giving a new proof of exactness for free groups.. It s[r] ... See full document
164
A Pólya shire theorem for functions with algebraic singularities
... Our proof of Theorem i covers the case where fz is meromorphic p--i and without restriction on the location or strength of poles.. As such, it is a new proof of the.[r] ... See full document
16
A Simple Proof of Toda's Theorem
... simple proof of the first half of Toda’s Theorem that the polynomial-time hierarchy is contained in BPP ⊕P ...Our proof uses easy consequences of relativizable proofs of results that predate ... See full document
6
Applications of some basic theorems in the KKM theory
... the new KKM-type theorem for intersectionally closed- valued KKM maps and its simple consequences such as a Fan-Browder-type fixed point theorem and maximal element ... See full document
14
A new proof of some identities of Bressoud
... We give an alternative proof of Theorem 1 by showing that the left and right sides of 1 satisfy the same recurrence relations... A NEW PROOF OF SOME IDENTITIES OF BRESSOUD.[r] ... See full document
7
On the structure of A free measures and applications
... remarkable consequences, which are outlined ...simple proof of Alberti’s rank-one theorem and, for the first time, its extensions to functions of bounded deformation ...structure ... See full document
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THE PROOF OF FERMAT’S LAST THEOREM AND ITS APPLICATIONS: A STUDY
... and new strategies, and found an arrangement of Euler as of late created by Victor Kolyvagin and Matthias Flach which appeared to quantify for the inductive piece of his ... See full document
8
A New Proof of the Pythagorean Theorem and Its Application to Element Decompositions in Topological Algebras
... point s ⊕ sw to the line containing os, that is, the point p on the line containing os such that ∠{o, p, s ⊕ sw} is a right angle the expression ∠{o, p, s ⊕ sw} denotes the angle within the triangle ... See full document
16
A new proof of Smory´nski’s theorem
... Robinson-Matiyasevich theorem, Diophantine equation which has at most finitely many solutions in non-negative integers, Diophantine equation which has at most finitely many solutions in positive integers, ... See full document
8
Proof for the Beal Conjecture and a New Proof for Fermat's Last Theorem
... Last Theorem became notorious and Euler proved that it is valid for cubes, Fermat himself proved that it applies to the fourth power, Peter Lejeune Dirichlet dealt with the fifth and fourteenth powers, Gabriel ... See full document
7
Elementary Uncertain Renewal Reward Theorem and Its Strict Proof
... OALibJ | DOI:10.4236/oalib.1102366 2 February 2016 | Volume 3 | e2366 uncertain renewal reward process which interarrival times and rewards were both regarded as uncertain variables and gave the an elementary renewal ... See full document
6
A versatile proof of Fermat‟s last theorem
... Consider a basic relation (2k) 2 + (k 2 -1) 2 = (k 2 + 1) 2 ,To convert it into an equal power relation with an exponent n, the requirements are k 2 = a n /4, (k 2 -1) 2 = b n and (k 2 + 1) 2 = c n , with a condition c ... See full document
6
The symplectic ideal and a double centraliser theorem
... To ease notation we did not give these symbols the extra index r that indicates to which integer r ≤ s they are associated. In fact one may, as the notation suggests, take the r-symbols as the first r of the ... See full document
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