Results 91 to 100 of about 12,867 (291)
Physics‐Informed Neural Network‐Enabled Forward Prediction and Inverse Design of Ring Origami
Advanced Science, EarlyView.This work presents a KRT‐PINN framework that integrates Kirchhoff rod theory with physics‐informed neural networks for the forward prediction and inverse design of ring origami consisting of closed‐loop rods. The framework predicts stable states of segmented rings with prescribed natural‐curvature profiles and determines the natural‐curvature profiles ...
Luyuan Ning +3 more
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On the Euler number of an orbifold
Mathematische Annalen, 1990 For an action of a finite group G on a compact manifold X one can define the `orbifold Euler characteristic' e(X,G) as \(\frac{1}{| G|}\sum e(X^{}) \), where summation runs over all commuting pairs (g,h) in G and \(e(X^{})\) is the topological Euler characteristic of the common fixed point set. This invariant has been introduced in string theory.
Hirzebruch, Friedrich, Höfer, Thomas
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On Bernoulli and Euler numbers
Manuscripta Mathematica, 1988 By manipulating Euler factors in a natural way the author proves some identities and congruences connecting the generalized (in Berger-Leopoldt sense) Bernoulli numbers and the p-adic L-functions of Kubota-Leopoldt (for the necessary definitions see \textit{L. C. Washington} [Introduction to cyclotomic fields (Graduate Texts in Math. 83) (Springer 1982;
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Some Symmetric Identities for Degenerate Carlitz-type (p, q)-Euler Numbers and Polynomials
, 2019 In this paper we define the degenerate Carlitz-type ( p , q ) -Euler polynomials by generalizing the degenerate Euler numbers and polynomials, degenerate Carlitz-type q-Euler numbers and polynomials.
Cheon Seoung Ryoo, Kyung-Won Hwang
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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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Note on
Journal of Inequalities and Applications, 2008 In 2007, Ozden et al. constructed generating functions of higher-order twisted -extension of Euler polynomials and numbers, by using -adic, -deformed fermionic integral on .
Jang Lee-Chae +2 more
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Generalizations of Euler Numbers and Polynomials
, 2002 In this paper, the concepts of Euler numbers and Euler polynomials are generalized, and some basic properties are ...
Qi, Feng, Luo, Qiu-Ming
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Advanced Science, EarlyView.A bioinspired strain‐adaptive ligament‐bone architecture achieves record‐high energy density of 26.1 J cm−3 and 90% efficiency at 600 MV m−1, coupled with a Young's modulus of 2.13 GPa. ABSTRACT Polymer dielectrics for capacitive energy storage face fundamental trade‐offs between breakdown strength, energy density, efficiency, and mechanical robustness.
Jian Wang +6 more
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Note on the q-Extension of Barnes' Type Multiple Euler Polynomials
Journal of Inequalities and Applications, 2009 We construct the q-Euler numbers and polynomials of higher order, which are related to Barnes' type multiple Euler polynomials. We also derive many properties and formulae for our q-Euler polynomials of higher order by using the multiple integral ...
Leechae Jang +3 more
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Explicit Formulas for Bernoulli and Euler Numbers
, 2008 <p>Explicit and recursive formulas for Bernoulli and Euler numbers are derived from the Fa´a di Bruno formula for the higher derivatives of a composite function.
Vella, David C.
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