Results 71 to 80 of about 171,939 (293)
Indian Journal of Pure and Applied Mathematics, 2019 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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From Folding Mechanics to Robotic Function: A Unified Modeling Framework for Compliant Origami
Advanced Science, EarlyView.A geometry‐consistent DDG framework captures compliant origami deformation from rigid‐like folding to soft panel bending. By tuning crease and panel stiffness, bistable snap‐through responses transform into smooth monostable deformation, enabling programmable stability and robot‐scale locomotion.
Bohan Zhang +7 more
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Bernoulli numbers and Euler’s contributions to infinite series
BibechanaThis expository study focuses on the origin and mathematical development of the sequence of rational Bernoulli numbers. Johann Faulhaber developed foundational formulas for power sums of positive integers, which later enabled Leonhard Euler to ...
Daya Ram Paudyal
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A Note on Type 2 Degenerate q-Euler Polynomials
Mathematics, 2019 Recently, type 2 degenerate Euler polynomials and type 2 q-Euler polynomials were studied, respectively, as degenerate versions of the type 2 Euler polynomials as well as a q-analog of the type 2 Euler polynomials.
Taekyun Kim +3 more
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Some Weighted Sum Formulas for Multiple Zeta, Hurwitz Zeta, and Alternating Multiple Zeta Values
Journal of Mathematics, 2021 We perform a further investigation for the multiple zeta values and their variations and generalizations in this paper. By making use of the method of the generating functions and some connections between the higher-order trigonometric functions and the ...
Yuan He, Zhuoyu Chen
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NOTE ON SUMS INVOLVING THE EULER FUNCTION [PDF]
Bulletin of the Australian Mathematical Society, 2019 In this note, we provide refined estimates of two sums involving the Euler totient function, $$\begin{eqnarray}\mathop{\sum }_{n\leq x}\unicode[STIX]{x1D719}\biggl(\biggl[\frac{x}{n}\biggr]\biggr)\quad \text{and}\quad \mathop{\sum }_{n\leq ...
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Euler sums and non-integerness of harmonic type sums
, 2020 We show that Euler sums of generalized hyperharmonic numbers can be evaluated in terms of Euler sums of generalized harmonic numbers and special values of the Riemann zeta function.
Goral, Haydar +3 more
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eulerForce: Force-directed Layout for Euler Diagrams [PDF]
, 2014 Euler diagrams use closed curves to represent sets and their relationships. They facilitate set analysis, as humans tend to perceive distinct regions when closed curves are drawn on a plane.
Rodgers, Peter, Micallef, Luana
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Advanced Science, EarlyView.Ex‐spRandom is a spatial transcriptomics platform that synergizes random‐primed chemistry with iterative hydrogel expansion. By physically decrowding the dense FFPE matrix, this scalable technology shatters the traditional resolution‐sensitivity barrier.
Shunji Zhang +7 more
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Parametric Euler Sums of Harmonic Numbers
, 2022 We define a parametric variant of generalized Euler sums and construct contour integration to give some explicit evaluations of these parametric Euler sums. In particular, we establish several explicit formulas of (Hurwitz) zeta functions, linear and quadratic parametric Euler sums. Furthermore, we also give an explicit evaluation of alternating double
Quan, Junjie +3 more
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