Results 31 to 40 of about 18,915 (259)
Sharpening the probabilistic arithmetic-geometric mean inequality
, 2023 12 ...
Kaufmann, Tom, Thäle, Christoph
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An Explicit Formula for the Arithmetic–Geometric Mean in Genus 3 [PDF]
Experimental Mathematics, 2007 The arithmetic–geometric mean algorithm for calculating elliptic integrals of the first type was introduced by Gauss. The analogous algorithm for abelian integrals of genus 2 was introduced by Richelot (1837) and Humbert (1901). We present the analogous algorithm for abelian integrals of genus 3.
David Lehavi, Christophe Ritzenthaler
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Advanced Engineering Materials, EarlyView.Coarse‐grained (left) and atomistic (right) models of the shape memory polymer ESTANE ETE 75DT3 are shown schematically. The two representations bridge molecular detail and mesoscopic description. Both models capture shape memory behavior, linking segmental mobility and conformational relaxation of anisotropic chains to macroscopic recovery, and ...
Fathollah Varnik
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Advanced Functional Materials, EarlyView.An all‐in‐one analog AI accelerator is presented, enabling on‐chip training, weight retention, and long‐term inference acceleration. It leverages a BEOL‐integrated CMO/HfOx ReRAM array with low‐voltage operation (<1.5 V), multi‐bit capability over 32 states, low programming noise (10 nS), and near‐ideal weight transfer.
Donato Francesco Falcone +11 more
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Bounding the Difference and Ratio Between the Weighted Arithmetic and Geometric Means
International Journal of Analysis and Applications, 2017 In the paper, making use of two integral representations for the difference and ratio of the weighted arithmetic and geometric means and employing the weighted arithmetic-geometric-harmonic mean inequality, the author bounds the difference and ratio ...
Feng Qi
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Optimal power mean bounds for the second Yang mean
Journal of Inequalities and Applications, 2016 In this paper, we present the best possible parameters p and q such that the double inequality M p ( a , b ) < V ( a , b ) < M q ( a , b ) $$ M_{p}(a,b)< V(a,b)< M_{q}(a,b) $$ holds for all a , b > 0 $a, b>0$ with a ≠ b $a\neq b$ , where M r ( a , b ) = [
Jun-Feng Li, Zhen-Hang Yang, Yu-Ming Chu
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Advanced Functional Materials, EarlyView.Co‐assembly of rationally designed glycosaminoglycan‐binding peptides with sulfated glycosaminoglycans yields supramolecular hydrogels with tunable mechanics and matrix‐mediated cytokine retention. The glycosaminoglycans thereby act as cofactors, driving a coil‐to‐β‐sheet transition that triggers gelation.
Shirel Veretnik +8 more
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Advanced Materials, EarlyView.This work introduces sustainable PLA/graphene oxide bioelectronic interfaces featuring electrodes with tunable conductivity and strong electrocatalytic performance. These platforms were used to implement a new method for tuning astrocyte Ca2+ signaling and for the efficient detection of key biomarkers.
Alessandra Scidà +15 more
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Inequalities between Arithmetic‐Geometric, Gini, and Toader Means [PDF]
Abstract and Applied Analysis, 2011 We find the greatest values p1, p2 and least values q1, q2 such that the double inequalities and hold for all a, b > 0 with a ≠ b and present some new bounds for the complete elliptic integrals. Here M(a, b), T(a, b), and Sp(a, b) are the arithmetic‐geometric, Toader, and pth Gini means of two positive numbers a and b, respectively.
Chu, Yu-Ming, Wang, Miao-Kun
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Advanced Materials, EarlyView.This work prototypes a carbon nanotube‐based analog tensor core that performs in‐memory, parallel visual processing. Integrating non‐volatile memories and compact circuits, the core enables high‐speed analog matrix multiplications and can demonstrate accurate three dimensional (3D) spatial transformation and edge detection. With lightweight design, the
Jingfang Pei +11 more
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