Results 271 to 280 of about 1,028,381 (308)

Differentiation of Distributions

2010
If f is continuously differentiable on an open set X in R n, one obtains by means of integration by parts that for every test function \(\phi\) the following holds: \(({\rm{test}}\ \partial _j\ f)(\phi ) = - ({\rm {test}}\ f)(\partial _j\ \phi ).\)
J. J. Duistermaat, J. A. C. Kolk
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Differential Equations in Distributions

2021
This chapter presents both ordinary and partial differential equations in distributions. Linear differential equations with constant coefficients are discussed in the framework of the theory of distributions. Hyperbolic, parabolic and elliptic partial differential equations are solved by means of the Fourier transform. The Cauchy problem is discussed.
Adina Chirilă, Marin Marin, Andreas Öchsner   +2 more
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Estimation Distribution Differential Evolution

2010
This paper proposes a novel adaptation scheme for Differential Evolution (DE) frameworks. The proposed algorithm, namely Estimation Distribution Differential Evolution (EDDE), is based on a DE structure and employs randomized scale factor ad crossover rate values.
Ernesto Mininno, Ferrante Neri
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DIFFERENTIAL OPERATORS ON SCHWARTZ DISTRIBUTIONS

International Journal of Geometric Methods in Modern Physics, 2012
Differential operators on Schwartz distributions usually are defined as the transpose of differential operators on test functions. However, they do not exhaust all differential operators. In a general setting, Schwartz distributions on sections of compact support of a vector bundle Y over a smooth manifold X are considered.
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Differentially private distributed sensing

2016 IEEE 3rd World Forum on Internet of Things (WF-IoT), 2016
The growth of the Internet of Things (IoT) creates the possibility of decentralized systems of sensing and actuation, potentially on a global scale. IoT devices connected to cloud networks can offer sensing and actuation as a service enabling networks of sensors to grow to a global scale.
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Linear distribution differential equations

Commentarii mathematici Universitatis Sancti Pauli = Rikkyo Daigaku sugaku zasshi, 1984
Let \(c\in {\mathbb{R}}\), let \({\mathcal P}^ 0\) be the set of Borel measures with support in \(x\leq c\). Let \({\mathcal B}^ 0\) be the set of all locally bounded Borel measurable functions with support in \(x\geq c\). Let \(\mu\in {\mathcal D}'({\mathbb{R}})\). Let \(j\geq 0\) be an integer. If for some \(\eta\in {\mathcal P}^ 0\) \(D^ j\mu =\eta\)
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Distributed Linear Bandits With Differential Privacy

IEEE Transactions on Network Science and Engineering
Accepted ...
Fengjiao Li, Xingyu Zhou 0001, Bo Ji 0001   +2 more
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Accompanying Distributions of Singular Differential Operators

Journal of Mathematical Sciences, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lyakhov, L. N., Polovinkina, Marina V., Shishkina, E. L.   +2 more
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Electronic distribution coding in cellular differentiation

Journal of Theoretical Biology, 1973
Abstract The present theories of cell differentiation explain how different types of cells can be obtained, starting from a single cell or cell type, through the action of gene repressors. They do not, however, provide a model for the primary step, i.e.
B A, Horwitz, L P, Horwitz
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Autonomy and Differentiation in Distributed Systems

2013
A bio-inspired approach for self-adaptive software agents on distributed systems is presented. It introduces the notion of (de)differentiation in cellular slime molds, e.g., dictyostelium discoideum, into real distributed systems. When an agent delegates a function to another agent coordinating with it, if the former has the function, this function ...
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