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F Caravelli - 《Springerplus》 被引量: 39发表: 2010年 The Mellin transform of the square of Riemann's zeta-function and Atkinson's formula The object of study of this interesting thesis is the (modified) Mellin transform Z 1 (s), where Z k (s):=∫ 1 ∞ |ζ(1/2+ix)| 2k x -...
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The derivative formula for f_1^{\, \prime }(\gamma ) is an immediate consequence of the well-known Danskin Theorem of parameter-dependent optimization problems. \square Proposition 3 [29, Theorem 18] If Q is a Stieltjes matrix, the nonnegatively constrained path: \begin{aligned} f_1^{...
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In July 2012, the ATLAS and CMS collaborations at the CERN Large Hadron Collider announced the observation of a Higgs boson at a mass of around 125 gigaelectronvolts. Ten years later, and with the data corresponding to the production of a 30-times lar
In the Directed Feedback Vertex Set (DFVS) problem, the input is a directed graph D and an integer k. The objective is to determine whether there exists a
This was chosen to be the sum of Runge’s function plus two translated copies of the function so that there are six poles in f(x) at x=±i/5,±1±i/5. In all three panels, the default choice of numerical parameters is the thick curve with circles, which employed σcutoff=10−...