Results 51 to 60 of about 983 (285)
, 2011 Let the number of vertices, edges, and faces of a polyhedron be V, E, and F. The Euler characteristic, V-F+E, is always 2 for convex polyhedra. This Demonstration shows Euler's polyhedral formula V+F-E=2 for the Platonic solidsEducação Superior::Ciências
Zenil, Hector
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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
A Review of Failure Modes and Safety Strategies of Lithium‐Ion Batteries from Materials to Systems
Advanced Science, EarlyView.A cascade‐aware framework is presented for lithium‐ion battery safety, linking thermal runaway initiation, acceleration, runaway reaction, and propagation with material‐, cell/pack‐, and system‐level interventions. By integrating failure mechanisms, quantitative safety indicators, and staged interception strategies, this review highlights how safer ...
Jin Hyeok Yang +8 more
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The matrices of Pauli quaternions, their De Moivre's and Euler's formulas
, 2022 In this paper, we obtain Euler's and De Moivre's formulas for the 4 x 4 matrix representation of Pauli quaternions. Moreover, we provide De Moivre's formula for the light-like Pauli quaternions.
Akbiyik, Mucahit +2 more
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Euler?s Exponential Formula for Semigroups
Semigroup Forum, 2004 In this paper, the author presents several generalizations of Euler's exponential formula for some semigroups, which are not \(C_0\)-semigroups.
openaire +4 more sources
Agribusiness, EarlyView.ABSTRACT In the agricultural landscape of most developing countries, the last decade has witnessed the expansion of outsourced agricultural extension services. Private firms and nongovernmental organizations focused on delivering agricultural extension and advisory services to farmers have emerged.
Boris D. Soh Wenda +3 more
wiley +1 more source
A Unifying Approach to Self‐Organizing Systems Interacting via Conservation Laws
Advanced Intelligent Discovery, EarlyView.The article develops a unified way to model and analyze self‐organizing systems whose interactions are constrained by conservation laws. It represents physical/biological/engineered networks as graphs and builds projection operators (from incidence/cycle structure) that enforce those constraints and decompose network variables into constrained versus ...
F. Barrows +7 more
wiley +1 more source
Euler's Exponential Formula for Semigroups [PDF]
, 2018 The aim of this paper is to show that Euler's exponential formula $\lim_{n\rightarrow\infty}\linebreak[4] (I-tA/n)^{-n}x = e^{tA}x$, well known for $C_0$ semigroups in a Banach space $X\ni x$, can be used for semigroups not of class $C_0$, the sense of ...
Cachia, Vincent
core
An Euler-type formula for median graphs
Discrete Mathematics, 1998 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sandi Klavzar +2 more
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Advanced Intelligent Discovery, EarlyView.The authors develop a deep learning model for real‐time tracking of wound progression. The deep learning framework maps the nonlinear evolution of a time series of images to a latent space, where they learn a linear representation of the dynamics. The linear model is interpretable and suitable for applications in feedback control.
Fan Lu +11 more
wiley +1 more source