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Robust control of robot manipulator dynamics with two stages algorithm of optimal and integral sliding mode approaches. [PDF]
Sci RepAli I +4 more
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Bridging Nature and Technology: A Perspective on Role of Machine Learning in Bioinspired Ceramics
Advanced Engineering Materials, EarlyView.Machine learning (ML) is revolutionizing the development of bioinspired ceramics. This article investigates how ML can be used to design new ceramic materials with exceptional performance, inspired by the structures found in nature. The research highlights how ML can predict material properties, optimize designs, and create advanced models to unlock a ...
Hamidreza Yazdani Sarvestani +2 more
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Demonstration of the rotational viscosity transfer across scales in Navier-Stokes turbulence. [PDF]
Sci RepTsuzuki S.
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The Variance-Gamma Product Distribution. [PDF]
Results MathGaunt RE, Li S, Sutcliffe HL.
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Analytical solution of the classical Rayleigh length definition, including truncation at arbitrary values. [PDF]
J MicroscLenferink A, Otto C.
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Motion of Quantum Particles in Terms of Probabilities of Paths. [PDF]
Entropy (Basel)Santos E.
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Mathematical Proceedings of the Cambridge Philosophical Society, 1932
1. The integral equationwhere x, f (x), and λ are real and α positive, may be regarded as a differential equation of order α. Suppose for example that α is a positive integer p, that f (x) tends to 0, when x → ∞, with sufficient rapidity, and thatThen, if we integrate repeatedly by parts, and write z for fp (x), (1·1) becomesThe only solutions are ...
G. H. Hardy, E. C. Titchmarsh
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1. The integral equationwhere x, f (x), and λ are real and α positive, may be regarded as a differential equation of order α. Suppose for example that α is a positive integer p, that f (x) tends to 0, when x → ∞, with sufficient rapidity, and thatThen, if we integrate repeatedly by parts, and write z for fp (x), (1·1) becomesThe only solutions are ...
G. H. Hardy, E. C. Titchmarsh
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The Integration of the Equation of Evolution [PDF]
, 1965 The ordinary exponential function solves the initial value problem $$dy/dx = \alpha y,\quad y(0) = 1.$$ We consider the Diffusion equation $$\partial u/\partial t = \Delta u,where\Delta = \sum\limits_{j = 1}^m {{\partial ^2}} /\partial x_j^2$$ is the Laplacian in R m We wish to find a solution u = u(x, t), t > 0, of this equation ...
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