Results 41 to 50 of about 4,289 (134)

Generalized Fuzzy Torus and its Modular Properties [PDF]

, 2013
We consider a generalization of the basic fuzzy torus to a fuzzy torus with non-trivial modular parameter, based on a finite matrix algebra. We discuss the modular properties of this fuzzy torus, and compute the matrix Laplacian for a scalar field.
Schreivogl, Paul, Steinacker, Harold
core   +5 more sources

A New Contribution in Fractional Integral Calculus and Inequalities over the Coordinated Fuzzy Codomain

Axioms
The correct derivation of integral inequalities on fuzzy-number-valued mappings depends on applying fractional calculus to fuzzy number analysis. The purpose of this article is to introduce a new class of convex mappings and generalize various previously
Zizhao Zhou, Ahmad Aziz Al Ahmadi, Alina Alb Lupas, Khalil Hadi Hakami   +3 more
doaj   +1 more source

Fuzzy Torus via q-Parafermion

, 2007
We note that the recently introduced fuzzy torus can be regarded as a q-deformed parafermion. Based on this picture, classification of the Hermitian representations of the fuzzy torus is carried out.
Arnlind J Bordemann M Hofer L Hoppe J Shimada H, Balachandran A P Kürkçüoğlu S Vaidya S, Beckers J, Dolan B P, Floreanini R, Ivanov E Mezincescu L Townsend P, Lozano Y, Madore J, Medina J, N Aizawa, Ohnuki Y, Palev T D, R Chakrabarti, Sklyanin E K, Sämann C   +14 more
core   +1 more source

Clocks and Rods in Jackiw-Teitelboim Quantum Gravity [PDF]

, 2019
We specify bulk coordinates in Jackiw-Teitelboim (JT) gravity using a boundary-intrinsic radar definition. This allows us to study and calculate exactly diff-invariant bulk correlation functions of matter-coupled JT gravity, which are found to satisfy ...
Blommaert, Andreas, Mertens, Thomas G., Verschelde, Henri   +2 more
core   +3 more sources

Adaptive Backstepping Control for Fractional-Order Nonlinear Systems with External Disturbance and Uncertain Parameters Using Smooth Control

, 2020
In this paper, we consider controlling a class of single-input-single-output (SISO) commensurate fractional-order nonlinear systems with parametric uncertainty and external disturbance.
Li, Xinyao, Wen, Changyun, Zou, Ying
core   +1 more source

The emergence of noncommutative target space in noncritical string theory

, 2005
We show how a noncommutative phase space appears in a natural way in noncritical string theory, the noncommutative deformation parameter being the string coupling.Comment: 21 pages, 1 figure.
Ambjorn, Jan, Janik, Romuald A.
core   +1 more source

Solitons on Noncommutative Torus as Elliptic Calogero Gaudin Models, Branes and Laughlin Wave Functions [PDF]

, 2002
For the noncommutative torus ${\cal T}$, in case of the N.C. parameter $\theta = \frac{Z}{n}$, we construct the basis of Hilbert space ${\ca$H}_n$ in terms of $\theta$ functions of the positions $z_i$ of $n$ solitons.
Ambjorn J., Bernevig B. A., BO-YU HOU, Connes A., DAN-TAO PENG, Etingof P. I., Felder G., Gopakumar R., Gorsky A., Hanany A., Harvey J. A., Hellerman S., Hurtubise J. C., Kajiura H., KANG-JIE SHI, Morariu B., Mumford D., Polychronakos A. P., RUI-HONG YUE, Seiberg N., Zak J.   +20 more
core   +3 more sources

Generalization of the Fuzzy Fejér–Hadamard Inequalities for Non-Convex Functions over a Rectangle Plane

Axioms
Integral inequalities with generalized convexity play a vital role in both theoretical and applied mathematics. The theory of integral inequalities is one of the branches of mathematics that is now developing at the quickest rate due to its wide range of
Hanan Alohali, Valer-Daniel Breaz, Omar Mutab Alsalami, Luminita-Ioana Cotirla, Ahmed Alamer   +4 more
doaj   +1 more source

On relationships among Chern-Simons theory, BF theory and matrix model

, 2008
Chern-Simons theory on a U(1) bundle over a Riemann surface \Sigma_g of genus g is dimensionally reduced to BF theory with a mass term, which is equivalent to the two-dimensional Yang-Mills on \Sigma_g.
Ishii, Takaaki, Ishiki, Goro, Ohta, Kazutoshi, Shimasaki, Shinji, Tsuchiya, Asato   +4 more
core   +1 more source

Extended version of decision making model for industrial robot selection via fractional continuous fuzzy information

Journal of Big Data
Fractional fuzzy sets are widely used in decision-making problems; however, they often face limitations in accurately modeling membership and non-membership values. These sets are considered classical models because they use only specific values from the
Asaf Khan, Saifullah Khan, Ariana Abdul Rahimzai, Saleem Abdullah   +3 more
doaj   +1 more source