Results 11 to 20 of about 1,282,859 (290)

The Alternative Representation of the Bipolar Sugeno Integral [PDF]

open access: yesEngineering and Technology Journal, 2022
In the context of decision support systems, bi-capacities were introduced as an extension of classical capacities. Many bipolar fuzzy integrals related to the bi-capacities have been presented in recent years.
Jabbar Abbas, Hossein Jafari
doaj   +1 more source

Research of the Relationship of the Integral Characteristics of the Representation

open access: yesПсихологическая наука и образование (2007. Online), 2015
The article raises the problem of representation, indicates that the multidimensionality, diversity of representation as a mental phenomenon requires consideration in different coordinate systems.
Peskov V.P.,
doaj   +1 more source

A representation theorem for integral rigs and its applications to residuated lattices [PDF]

open access: yes, 2015
We prove that every integral rig in Sets is (functorially) the rig of global sections of a sheaf of really local integral rigs. We also show that this representation result may be lifted to residuated integral rigs and then restricted to varieties of ...
Botero, W. J. Zuluaga   +2 more
core   +3 more sources

Annihilation poles of a Smirnov-type integral formula for solutions to quantum Knizhnik--Zamolodchikov equation [PDF]

open access: yes, 1995
We consider the recently obtained integral representation of quantum Knizhnik-Zamolodchikov equation of level 0. We obtain the condition for the integral kernel such that these solutions satisfy three axioms for form factor \'{a} la Smirnov.
Davies B   +13 more
core   +2 more sources

On integral representation of thetranslation operator

open access: yesMathematical Modelling and Analysis, 2012
The formulation in the explicit form of quantum expression of the one-dimensional translation operator as well as Hermitian operator of momentum and its eigenfunctions are presented.
Paulius Miškinis
doaj   +1 more source

Euler Sums and Integral Connections

open access: yesMathematics, 2019
In this paper, we present some Euler-like sums involving partial sums of the harmonic and odd harmonic series. First, we give a brief historical account of Euler’s work on the subject followed by notations used in the body of the paper.
Anthony Sofo, Amrik Singh Nimbran
doaj   +1 more source

A construction of analog of Fredgolm theorems for one class of first order model integro-differential equation with logarithmic singularity in the kernel

open access: yesVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2017
The integral representations of the solution manifold for one class of the first order model integro-differential equation with logarithmic singularity in the kernel are constructed using arbitrary constants. The cases when the given integro-differential
Sarvar K Zaripov
doaj   +1 more source

On Some New Properties of the Fundamental Solution to the Multi-Dimensional Space- and Time-Fractional Diffusion-Wave Equation

open access: yesMathematics, 2017
In this paper, some new properties of the fundamental solution to the multi-dimensional space- and time-fractional diffusion-wave equation are deduced.
Yuri Luchko
doaj   +1 more source

Integral Representations of the Catalan Numbers and Their Applications

open access: yesMathematics, 2017
In the paper, the authors survey integral representations of the Catalan numbers and the Catalan–Qi function, discuss equivalent relations between these integral representations, supply alternative and new proofs of several integral representations ...
Feng Qi, Bai-Ni Guo
doaj   +1 more source

Applications of the Mellin-Barnes integral representation [PDF]

open access: yes, 1995
We apply the Mellin-Barnes integral representation to several situations of interest in mathematical-physics. At the purely mathematical level, we derive useful asymptotic expansions of different zeta-functions and partition functions.
Actor A   +45 more
core   +2 more sources

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