Results 51 to 60 of about 6,793 (328)
Mathematical Inequalities & Applications, 2004 A number of inequalities, for functions whose derivatives are either functions of bounded variation or Lipschitzian functions or R-integrable functions, is proved by applying the Euler-Boole formulae.
Vukelić, Ana +2 more
openaire +3 more sources
Complex and Hypercomplex Discrete Fourier Transforms Based on Matrix Exponential Form of Euler's Formula [PDF]
, 2011 We show that the discrete complex, and numerous hypercomplex, Fourier transforms defined and used so far by a number of researchers can be unified into a single framework based on a matrix exponential version of Euler's formula $e^{j\theta}=\cos\theta+j ...
Ell, Todd A., Sangwine, Stephen J.
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Advanced Science, EarlyView.This study presents a novel microscopic imaging system capable of rapid, section‐free scanning of irregular tissue surfaces, delivering high sensitivity for detecting cancer cell clusters during intraoperative tumor margin assessment. Abstract Rapid and accurate intraoperative examination of tumor margins is crucial for precise surgical treatment, yet ...
Zhicheng Shao +17 more
wiley +1 more source
Mathematics, 2022 In this paper, we define and study Hyers–Ulam stability of order 1 for Euler’s equation and Hyers–Ulam stability of order m−1 for the Euler–Poisson equation in the calculus of variations in two special cases, when these equations have the form y″(x)=f(x)
Daniela Marian +2 more
doaj +1 more source
Quantum Barnes function as the partition function of the resolved conifold
, 2007 We suggest a new strategy for proving large $N$ duality by interpreting Gromov-Witten, Donaldson-Thomas and Chern-Simons invariants of a Calabi-Yau threefold as different characterizations of the same holomorphic function.
Koshkin, Sergiy
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Hydromechanics of low-Reynolds-number flow. Part 4. Translation of spheroids [PDF]
, 1976 The problem of a uniform transverse flow past a prolate spheroid of arbitrary aspect ratio at low Reynolds numbers has been analysed by the method of matched asymptotic expansions. The solution is found to depend on two Reynolds numbers, one based on the
Chwang, Allen T., Wu, Theodore Y.
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A Perspective on Interactive Theorem Provers in Physics
Advanced Science, EarlyView.Into an interactive theorem provers (ITPs), one can write mathematical definitions, theorems and proofs, and the correctness of those results is automatically checked. This perspective goes over the best usage of ITPs within physics and motivates the open‐source community run project PhysLean, the aim of which is to be a library for digitalized physics
Joseph Tooby‐Smith
wiley +1 more source
Upper bounds on the bondage number of a graph
Electronic Journal of Graph Theory and Applications, 2018 The bondage number b(G) of a graph G is the smallest number of edges whose removal from G results in a graph with larger domination number. We obtain sufficient conditions for the validity of the inequality b(G) ≤ 2s − 2, provided G has degree s vertices.
Vladimir Dimitrov Samodivkin
doaj +1 more source
Interlayer Dzyaloshinskii–Moriya Interaction in Synthetic Ferrimagnets for Spiking Neural Networks
Advanced Science, EarlyView.This work introduces a groundbreaking integration of asymmetric magnetic structures (synthetic ferrimagnets) and antisymmetric magnetic interaction (interlayer Dzyaloshinskii–Moriya interaction) for the first time. It addresses the critical challenge of IL‐DMI detection and shows the discovery of unprecedented analog‐like spin‐orbit torque switching ...
Shen Li +14 more
wiley +1 more source
Two-point formulae of Euler type [PDF]
The ANZIAM Journal, 2002 AbstractAn analysis is made of quadratureviatwo-point formulae when the integrand is Lipschitz or of bounded variation. The error estimates are shown to be as good as those found in recent studies using Simpson (three-point) formulae.
Matic, M. +2 more
openaire +2 more sources