Results 11 to 20 of about 274,031 (283)
Composite differentiable functions [PDF]
Duke Mathematical Journal, 1996 19 pages, hard copy available on request.
Bierstone, Edward +2 more
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A Note on Differentiable Functions [PDF]
Proceedings of the American Mathematical Society, 1978 This paper provides a proof that the class of those real functions f for which there exists a change of variable g so that f ∘ g f \circ g is differentiable coincides with the class of continuous functions which are of generalized bounded variation in the restricted sense.
Fleissner, Richard J., Foran, James
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Implications of Non-Differentiable Entropy on a Space-Time Manifold
Entropy, 2015 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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A Language for Differentiable Functions [PDF]
, 2013 We introduce a typed lambda calculus in which real numbers, real functions, and in particular continuously differentiable and more generally Lipschitz functions can be defined. Given an expression representing a real-valued function of a real variable in this calculus, we are able to evaluate the expression on an argument but also evaluate the L ...
DI GIANANTONIO, Pietro, Abbas Edalat
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Implementation Aspects in Regularized Structural Equation Models
Algorithms, 2023 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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The differentiation of a function of a function [PDF]
Bulletin of the American Mathematical Society, 1923 If z is a function of y having a differential coefficient at a certain point, and y is a function of x having a differential coefficient at the corresponding point, then z is a function of x having a differential coefficient at that point, and this differential coefficient is given by the formula
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Differentiable Earth mover’s distance for data compression at the high-luminosity LHC
Machine Learning: Science and Technology, 2023 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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Differentiability of the arithmetic volume function [PDF]
, 2008 We introduce the positive intersection product in Arakelov geometry and prove that the arithmetic volume function is continuously differentiable. As applications, we compute the distribution function of the asymptotic measure of a Hermitian line bundle ...
Chen, Huayi
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Differentiation of Interval Functions [PDF]
Proceedings of the American Mathematical Society, 1972 This paper is concerned with differentiation of interval functions appearing in interval analysis. Two definitions of a derivative are given; the first one uses an isometric restricted imbedding of the quasilinear space of intervals on the real line R, and the other definition is independent ofthat imbedding.
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Lineability of non-differentiable Pettis primitives [PDF]
, 2014 Let X be an infinite-dimensional Banach space. In 1995, settling a long outstanding problem of Pettis, Dilworth and Girardi constructed an X-valued Pettis integrable function on [0; 1] whose primitive is nowhere weakly differentiable.
Bongiorno, B. +2 more
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