Results 11 to 20 of about 28,027 (297)
Representation of a Standard Continuous Function by a Microscope [PDF]
The aim of this paper is to provide a representation of a standard continuous function and a standard differentiable function by mean of a microscope. More precisely, under certain conditions, the following results have been obtained.
Tahir Ismail, Hind Saleh
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Implications of Non-Differentiable Entropy on a Space-Time Manifold
Assuming that the motions of a complex system structural units take place on continuous, but non-differentiable curves of a space-time manifold, the scale relativity model with arbitrary constant fractal dimension (the hydrodynamic and wave function ...
Maricel Agop +3 more
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Chaotic intermittency with non-differentiable M(x) function
One-dimensional maps showing chaotic intermittency with discontinuous reinjection probability density functions are studied. For these maps, the reinjection mechanism possesses two different processes.
Sergio Elaskar +2 more
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Differentially definable functions: a survey [PDF]
AbstractMost widely used special functions, such as orthogonal polynomials, Bessel functions, Airy functions, etc., are defined as solutions to differential equations with polynomial coefficients. This class of functions is referred to as D‐finite functions.
Jiménez-Pastor, Antonio +1 more
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Implementation Aspects in Regularized Structural Equation Models
This article reviews several implementation aspects in estimating regularized single-group and multiple-group structural equation models (SEM). It is demonstrated that approximate estimation approaches that rely on a differentiable approximation of non ...
Alexander Robitzsch
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Differentially transcendental functions
The aim of this paper is to exhibit a method for proving that certain analytic functions are not solutions of algebraic differential equations. The method is based on model-theoretic properties of differential fields and properties of certain known transcendental differential functions, as of $ (x)$.
Mijajlović, Žarko, Malešević, Branko
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Differentiating matrix functions [PDF]
Multivariable, real-valued functions induce matrix-valued functions defined on the space of d-tuples of n-times-n pairwise-commuting self-adjoint matrices. We examine the geometry of this space of matrices and conclude that the best notion of differentiation of these matrix-valued functions is differentiation along curves.
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Differentiable Earth mover’s distance for data compression at the high-luminosity LHC
The Earth mover’s distance (EMD) is a useful metric for image recognition and classification, but its usual implementations are not differentiable or too slow to be used as a loss function for training other algorithms via gradient descent. In this paper,
Rohan Shenoy +7 more
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Rational taxation in an open access fishery model
We consider a model of fishery management, where n agents exploit a single population with strictly concave continuously differentiable growth function of Verhulst type.
Rokhlin Dmitry B., Usov Anatoly
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On boundedly-convex functions on pseudo-topological vector spaces
Notions of a boundedly convex function and of a Lipschitz-continuous function are extended to the case of functions on pseudo-topological vector spaces.
Vladimir Averbuch
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