Comparison of Quantities of Information in the Human Memory
Journal Title: JOURNAL OF ADVANCES IN MATHEMATICS - Year 2018, Vol 14, Issue 2
Abstract
A mathematical model of changing the amount of information in the abstract human memory is proposed in the presence of the subsequent "external discrete" training (filling the information). Under this model, the amount of information is a solution of impulsive differential equation with fixed moments of impulsive effects and variable structure. Sufficient conditions are proposed related to the moments and magnitudes of the impulsive effects (i.e., to the moments of discrete training and the volume of the received information), where the quantities of information in two different models of learning can be compared.
Authors and Affiliations
Angel Angelov Dishliev, Christian Assenov Girginov, Katya Georgieva Dishlieva
The q-Exponential Operator and Generalized Rogers-Szego Polynomials
This paper is mainly concerned with using q-exponential operator T(bDq) in proving the identities that involve the generalized Rogers-Szego polynomials rn(x,b) . We introduce some new roles of the q -exponenti...
APPROXIMATION OF FOURIER SERIES OF A FUNCTION OF LIPCHITZ CLASS BY PRODUCT MEANS
Lipchitz class of function had been introduced by McFadden[5}.Recently dealing with degree of approximation of Fourier series of a function of Lipchitz class Nigam[12] and Misra et al.[13] have established certain theore...
Exponentially Varying Load on Rayleigh Beam Resting on Pasternak Foundation.
This paper investigates the dynamic behavior of uniform Rayleigh beam resting on Pasternak foundation and subjected to exponentially varying magnitude moving the load. The solution techniques are based on finite Fourier...
Degree of approximation of Conjugate Series of a Fourier Series by (E,r)(N,p,q) Means
In this paper a theorem on degree of approximation of a function f Lip ? by product Summability(E,r)(N,p,q)of conjugate series of Fourier series associated with f, has been established.
A Unique Solution of Stochastic Partial Differential Equations with Non-Local Initial condition
In this paper, we shall discuss the uniqueness ”pathwise uniqueness” of the solutions of stochastic partial differential equations (SPDEs) with non-local initial condition,We shall use the Yamada-Watanabe condi...