Results 31 to 40 of about 3,061,238 (284)
On the difference of values of the kernel function at consecutive integers
International Journal of Mathematics and Mathematical Sciences, 2003 For each positive integer n, set γ(n)=Πp|np. Given a fixed integer k≠±1, we establish that if the ABC-conjecture holds, then the equation γ(n+1)−γ(n)=k has only finitely many solutions.
Jean-Marie De Koninck, Florian Luca
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FEBS Open Bio, EarlyView.We describe detailed protocols for the purification and preparation of Marchantia polymorpha Auxin Response Factor 2 (MpARF2). This protein is fused to an MBP solubility tag and an mNG fluorescent tag and is purified from Escherichia coli. The presented procedures make it possible to study MpARF2 assemblies, which could arise from phase separation ...
Bas Janssen +5 more
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Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective Early risk stratification may support clinical decision‐making in spontaneous intracerebral hemorrhage (ICH). We aimed to develop and internally validate HAGIV, a score integrating frequency of imaging markers (FIM), a time‐adjusted non‐contrast computed tomography (CT) metric of hematoma expansion, with established predictors for 90‐
Lei Song +10 more
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Integer Solutions to Some Diophantine Equations of Leech Type with Geometric Applications
MathematicsIn this paper, we derive integer pseudo-parametric solutions to two sets of Diophantine equations. Moreover, we describe the so-called Double Crossed Ladder (DCL) and show how these results can be used to calculate an infinite number of integer solutions
Ralph Høibakk +3 more
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The solutions of nonlinear fractional partial differential equations by using a novel technique
Open Physics, 2022 In this article, the solutions of higher nonlinear partial differential equations (PDEs) with the Caputo operator are presented. The fractional PDEs are modern tools to model various phenomena more accurately.
Alderremy Aisha Abdullah +6 more
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Advanced Engineering Materials, EarlyView.Predicting extreme defects in additive manufacturing remains a key challenge limiting its structural reliability. This study proposes a statistical framework that integrates Extreme Value Theory with advanced process indicators to explore defect–process relationships and improve the estimation of critical defect sizes. The approach provides a basis for
Muhammad Muteeb Butt +8 more
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ComputationSolving the university timetabling problem is crucial as it ensures efficient use of resources, minimises scheduling conflicts, and enhances overall productivity. This paper presents a comprehensive review of university timetabling problems using integer
Xin Gu +5 more
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The integer solutions of the cubic Diophantine equation x3±33=pqy2
Xi'an Gongcheng Daxue xuebao, 2021 The solvability of a class of cubic Diophantine equations is studied by using properties of congruence, Legendre symbol and the methods of elementary number theory.
Heng LI, Hai YANG, Yongliang LUO
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A note on the integer solutions ofhyperelliptic equations [PDF]
Colloquium Mathematicum, 1995 The following interesting theorem is proved: Let \(f(x)= x^ m+ a_ 1 x^{m-1}+ \cdots+ a_ m\in \mathbb{Z} [x]\) with \(m\geq 2\) and not all \(a_ i\)'s equal to zero and the first non-zero coefficient coprime to some integer \(n\geq 2\). If \(mn\geq 6\) and \(m\equiv 0\pmod n\) then all integer solutions \((x,y)\) of \(y^ n= f(x)\) satisfy \(| x|< (4m H)^
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Advanced Engineering Materials, EarlyView.More than 10 000 metal‐coated silicon MEMS cantilevers are fabricated and characterized to build a large‐scale experimental dataset spanning multiple vibrational modes. Machine learning algorithms are benchmarked to predict resonance frequency and quality factor, with ensemble based models achieving accuracy approaching experimental uncertainty.
Sina Zare Pakzad +8 more
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