Results 171 to 180 of about 416,861 (348)
Reprogrammable, In‐Materia Matrix‐Vector Multiplication with Floppy Modes
Advanced Intelligent Systems, EarlyView.This article describes a metamaterial that mechanically computes matrix‐vector multiplications, one of the fundamental operations in artificial intelligence models. The matrix multiplication is encoded in floppy modes, near‐zero force deformations of soft matter systems.
Theophile Louvet +2 more
wiley +1 more source
Existence of positive solutions for even-order $m$-point boundary-value problems on time scales
Electronic Journal of Differential Equations, 2013 In this article, we consider a nonlinear even-order m-point boundary-value problems on time scales. We establish the criteria for the existence of at least one, two and three positive solutions for higher order nonlinear m-point boundary-value ...
Ismail Yaslan
doaj
A Survey on Universal Approximation Theorems [PDF]
arXivThis paper discusses various theorems on the approximation capabilities of neural networks (NNs), which are known as universal approximation theorems (UATs). The paper gives a systematic overview of UATs starting from the preliminary results on function approximation, such as Taylor's theorem, Fourier's theorem, Weierstrass approximation theorem ...
arxiv
Minimax and fixed point theorems
Mathematische Annalen, 1980 Since then, numerous applications of this interesting theorem have been found. The object of this note is to obtain a generalization of Theorem 1 by relaxing, among the others, the compactness condition. It contains a fixed point theorem for maps with inwardness or outwardness conditions given by Fan [6]. As its direct consequence, we also obtain a new
openaire +2 more sources
A Generalization of Kannan's Fixed Point Theorem
Fixed Point Theory and Applications, 2009 In order to observe the condition of Kannan mappings, we prove a generalization of Kannan's fixed point theorem. Our theorem involves constants and we obtain the best constants to ensure a fixed point.
Enjouji Yusuke +2 more
doaj
A Fixed-Point Theorem for Commuting Monotone Functions [PDF]
, 1969 William J. Gray
openalex +1 more source
Localized and Extended Phases in Square Moiré Patterns
Annalen der Physik, EarlyView.Rotated superimposed lattices in two dimensions, the termed moiré patterns, represent a clear example of how the structure affects the physical properties of a particle moving on it. A robust numerical treatment of continuous and discrete models leads to confirm that while localized states result from angles that produce non‐commensurable lattices ...
C. Madroñero +2 more
wiley +1 more source
Chemie Ingenieur Technik, EarlyView., 2023 Let us consider an alternative perspective on climate change: The sum of solar radiation and heat generated by human activity result in a net energy input of 1.96 times that of the Sun on the Earth's surface. The expanding global population is expected to exacerbate this issue. Potential solutions are proposed, including replacement and heat recycling.
Martin Bertau, Gerald Steiner
wiley +1 more source
Communications, Faculty Of Science, University of Ankara Series A1Mathematics and Statistics, 1988 M. R. Singh, A. K. Chatterjee
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Stochastic Hydrodynamic Velocity Field and the Representation of Langevin Equations
Annalen der Physik, EarlyView.A lumped method is proposed to account for both mean‐field hydrodynamics and stochastic fluctuations within the kinematic equations of motion, providing a regularized formulation of the overdamped approximation. The concept of stochastic realizability in broad sense is introduced based on the spectral properties of the Fredholm operator associated with
Massimiliano Giona +2 more
wiley +1 more source