Results 71 to 80 of about 983 (285)
Berichte zur Wissenschaftsgeschichte, EarlyView.I present and discuss two drafts of remarks prepared by the mathematician Hermann Minkowski (1864–1909). They were composed in December 1907 while preparing his paper on the “Basic Equations of Electromagnetic Processes in Moving Bodies” for publication in the Proceedings of the Göttingen Academy of Sciences.
Tilman Sauer
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Euler's formula and phase rule
, 1990 The striking similarity of Euler's equation for simple polyhedra and Gibbs' phase rule has been discussed by several authors. Arguments have been advanced both for and against this analogy.
Radhakrishnan, T. P.
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Biotechnology and Bioengineering, EarlyView.ABSTRACT Reinforcement learning (RL) has been used to control a wide range of dynamic processes, especially ones that are too complex to model well or have stochastic environmental perturbations. Fed‐batch fermentations are subject to changes in starting cell growth rates and process variations that can affect cell growth and secreted target production.
Sai Harish Uthravalli +3 more
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Discovering Euler's Number in n-Cube Variable Inequality Regions
, 2023 This paper investigates the geometric characteristics of n-dimensional cubes, known as "PO n-cubes," in relation to regions within these cubes where specific dimension inequalities are satisfied, referred to as "PO inequality regions." The paper ...
Justin Beatty (17101579)
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THE ELASTIC BUCKLING BEHAVIOR OF (5056-H18)ALALLOY COLUMNS UNDER VARIABLE LOAD
Iraqi Journal for Mechanical and Materials Engineering, 2019 The research deals the evaluation of buckling behavior for 5056-H18 Al alloy columns under variable loads and studies the effect of initial deflection on the critical buckling load.
Ali Y Khenyab +2 more
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Stability of Viscous Three‐Dimensional Stratified Couette Flow via Dispersion and Mixing
Communications on Pure and Applied Mathematics, EarlyView.ABSTRACT This article explores the stability of stratified Couette flow in the viscous 3d$3d$ Boussinesq equations. In this system, mixing effects arise from the shearing background, and gravity acts as a restoring force leading to dispersive internal gravity waves.
Michele Coti Zelati +2 more
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Front Propagation Through a Perforated Wall
Communications on Pure and Applied Mathematics, EarlyView.ABSTRACT We consider a bistable reaction– diffusion equation ut=Δu+f(u)$u_t=\Delta u +f(u)$ on RN${\mathbb {R}}^N$ in the presence of an obstacle K$K$, which is a wall of infinite span with many holes. More precisely, K$K$ is a closed subset of RN${\mathbb {R}}^N$ with smooth boundary such that its projection onto the x1$x_1$‐axis is bounded and that ...
Henri Berestycki +2 more
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ON EULER'S THEOREM IN SEMI-EUCLIDEAN SPACES $\mathbb{E}_{v}^{n+1}$
, 2011 In this paper, we study Euler's theorem for semi-Euclidean hypersurfaces in the semi-Euclidean spaces [Formula: see text]. We obtain an analog of the well-known Euler's theorem for semi-Euclidean hypersurfaces in the semi-Euclidean spaces [Formula: see ...
A. CEYLAN ÇÖKEN
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A Geometric Characterization of Steady Laminar Flow
Communications on Pure and Applied Mathematics, EarlyView.ABSTRACT We study the steady states of the Euler equations on the periodic channel or annulus. We show that if these flows are laminar (layered by closed non‐contractible streamlines which foliate the domain), then they must be either parallel or circular flows.
Theodore D. Drivas, Marc Nualart
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On the Composition of Rotations in $\mathbb{R}^3$
Communications in Advanced Mathematical SciencesEuler stated that the composition of two successive rotations is also a rotation, but did not solve the problem of finding the resultant (axis and angle of rotation) of the composition. It is Rodrigues who solved it.
François Dubeau
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