Results 61 to 70 of about 26,719 (309)
The Fractional Differential Polynomial Neural Network for Approximation of Functions
Entropy, 2013 In this work, we introduce a generalization of the differential polynomial neural network utilizing fractional calculus. Fractional calculus is taken in the sense of the Caputo differential operator.
Rabha W. Ibrahim
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Journal of Inequalities and Applications, 2009 Based on the theory of calculus on time scales, the homeomorphism theory, Lyapunov functional method, and some analysis techniques, sufficient conditions are obtained for the existence, uniqueness, and global exponential stability of the equilibrium ...
Yongkun Li, Yuchun Hua, Yu Fei
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Enabling quaternion derivatives: the generalized HR calculus [PDF]
Royal Society Open Science, 2015 Quaternion derivatives exist only for a very restricted class of analytic (regular) functions; however, in many applications, functions of interest are real-valued and hence not analytic, a typical case being the standard real mean square error objective
Dongpo Xu +3 more
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Functional Calculus and Positive-Definite Functions [PDF]
Transactions of the American Mathematical Society, 1977 For a LCA group G with dual group Ĝ , let D ( G
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FEBS Letters, EarlyView.We present robust protocols for the preparation of supported lipid bilayers (SLBs) incorporating either Salmonella smooth LPS or outer membrane vesicles (OMVs). We use a combination of quartz crystal microbalance with dissipation (QCM‐D) and fluorescence microscopy to both characterize the SLBs of various compositions and to probe their interactions ...
Hudson P. Pace +6 more
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The harmonic functional calculus and hyperreflexivity [PDF]
Pacific Journal of Mathematics, 2002 Let \(\mathcal H\) be a complex, separable Hilbert space and let \({\mathcal B}({\mathcal H})\) be the algebra of all bounded linear operators from \({\mathcal H}\) into itself. Assume that \(T\) is a contraction in \({\mathcal B}({\mathcal H})\) which is absolutely continuous.
Conway, John B., Ptak, Marek
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FEBS Letters, EarlyView.Drosophila park mutants serve as a model for Parkinson's disease. We used this strain to investigate the connection between oxidative stress and the circadian clock mechanism. We showed that increased oxidative stress affects the physiology of pacemaker cells, disrupting their daily structural plasticity. Lack of rhythmic signaling from pacemaker cells
Kamila Zientara +3 more
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SCC: A Service Centered Calculus
, 2006 We seek for a small set of primitives that might serve as a basis for formalising and programming service oriented applications over global computers. As an outcome of this study we introduce here SCC, a process calculus that features explicit notions of
Rocco DE NICOLA +35 more
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Logical Calculus Using Fuzzy Formulas
Наука и техника, 2005 The paper considers a functionally closed multi-valued calculus with conditional formulas F = {a|b} such that F s a when b = true; F = false when a = false and F = uncertainty in all other cases. A measure function for fuzzy conditional formulas has been
O. V. German, A. A. Linnik
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Fractional Calculus via Functional Calculus: Theory and Applications
Nonlinear Dynamics, 2002 The paper demonstrates the power of the functional calculus definition of linear fractional differential operators via generalized Fourier transforms. The solutions are presented as convolutions of the input functions with the related impulse responses. Some examples are presented.
Kempfle, S., Schäfer, I., Beyer, H.
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