Results 31 to 40 of about 4,289 (134)

Multifunctions determined by integrable functions [PDF]

, 2019
Integral properties of multifunctions determined by vector valued functions are presented. Such multifunctions quite often serve as examples and counterexamples.
Candeloro, D., Di Piazza, L., Musial, K., Sambucini, A. R.   +3 more
core   +2 more sources

K\"{a}hler structure in the commutative limit of matrix geometry [PDF]

, 2016
We consider the commutative limit of matrix geometry described by a large-$N$ sequence of some Hermitian matrices. Under some assumptions, we show that the commutative geometry possesses a K\"{a}hler structure. We find an explicit relation between the K\"
Ishiki, Goro, Matsumoto, Takaki, Muraki, Hisayoshi   +2 more
core   +1 more source

Topology at the Planck Length [PDF]

, 1997
A basic arbitrariness in the determination of the topology of a manifold at the Planck length is discussed. An explicit example is given of a `smooth' change in topology from the 2-sphere to the 2-torus through a sequence of noncommuting geometries ...
Aldrovandi R, Athanasiu G G, Banks T, Berezin F, Bordemann M, Carow-Watamura U, Dijkgraff R, Dubois-Violette M, Emch G, Grosse H, Grosse H, Hoppe J, J Madore, Klimek S, Klimek S, L A Saeger, Madore J, Madore J, Madore J, Madore J, Narnhofer H, Polchinski J, Schlichenmaier M, Schwinger J, Thorpe J A, Weyl H, Wheeler J A   +26 more
core   +4 more sources

A Discrete Choquet Integral for Ordered Systems [PDF]

, 2011
A model for a Choquet integral for arbitrary finite set systems is presented. The model includes in particular the classical model on the system of all subsets of a finite set.
Algaba, Chateauneuf, Chateauneuf, Choquet, Grabisch, Grabisch, Johnson, Lehrer, Lovász, Michel Grabisch, Murofushi, Murofushi, Myerson, Rockafellar, Rota, Schmeidler, Schmeidler, Schmidt, Shafer, Teper, Ulrich Faigle   +20 more
core   +5 more sources

Statistical Deferred Weighted Riemann Summability and Fuzzy Approximation Theorems [PDF]

Sahand Communications in Mathematical Analysis
The notion of statistical convergence has fascinated many researchers due mainly to the fact that it is more general than the well-established hypothesis of ordinary (classical) convergence.
Priyadarsini Parida, Susanta Paikray, Bidu Jena   +2 more
doaj   +1 more source

Geometry of the Grosse-Wulkenhaar Model [PDF]

, 2010
We define a two-dimensional noncommutative space as a limit of finite-matrix spaces which have space-time dimension three. We show that on such space the Grosse-Wulkenhaar (renormalizable) action has natural interpretation as the action for the scalar ...
AY Alekseev, CJ Isham, D Karabali, D O’Connor, E Langmann, G Fiore, H Grosse, H Grosse, H Grosse, H Grosse, H Grosse, H Steinacker, I Chepelev, I Chepelev, J Madore, J Madore, J Madore, J Medina, Maja Burić, Michael Wohlgenannt, S Cho, S Deser, T Holstein, W Behr   +23 more
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On the Existence and Uniqueness for High Order Fuzzy Fractional Differential Equations with Uncertainty

Advances in Fuzzy Systems, 2016
A class fuzzy fractional differential equation (FFDE) involving Riemann-Liouville H-differentiability of arbitrary order q>1 is considered. Using Krasnoselskii-Krein type conditions, Kooi type conditions, and Rogers conditions we establish the uniqueness
Abdourazek Souahi, Assia Guezane-Lakoud, Amara Hitta   +2 more
doaj   +1 more source

Mutual information on the fuzzy sphere [PDF]

, 2014
We numerically calculate entanglement entropy and mutual information for a massive free scalar field on commutative (ordinary) and noncommutative (fuzzy) spheres.
Sabella-Garnier, Philippe
core   +2 more sources

Theoretical analysis and experimental validation of a simplified fractional order controller for a magnetic levitation system [PDF]

, 2015
Fractional order (FO) controllers are among the emerging solutions for increasing closed-loop performance and robustness. However, they have been applied mostly to stable processes.
De Keyser, Robain, Folea, Silviu, Ionescu, Clara-Mihaela, Muresan, Cristina I   +3 more
core   +1 more source

A survey on fuzzy fractional differential and optimal control nonlocal evolution equations

, 2017
We survey some representative results on fuzzy fractional differential equations, controllability, approximate controllability, optimal control, and optimal feedback control for several different kinds of fractional evolution equations.
Agarwal, Ravi P., Baleanu, Dumitru, Nieto, Juan J., Torres, Delfim F. M., Zhou, Yong   +4 more
core   +1 more source