Comparison of Quantities of Information in the Human Memory

Angel Angelov Dishliev,Christian Assenov Girginov,Katya Georgieva Dishlieva

doi:10.24297/jam.v14i2.7840

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.

Highlights

This means that the amount of information I (t ) in the case of short-terms discrete training is a peace-wise continuous function in t t0 with the points of discontinuity t1, t2
In this study, provided that the five hypotheses formulated in the preceding paragraph are valid, as a special case of the mathematical model in [10], we can write the following initial value problem of differential equations with impulses that model the dynamics of the amount of information in the human memory: dI dt
We will use the following conditions concerning the coefficients of storing information in the two theorems: H1

Summary

Introduction

In the articles [7], [8], and [10] the following concepts are introduced:. I (t) = I (t + 0) − I (t − 0) = I (t + 0) − I (t ), t = t1,t2,... , where the moments t1, t2 ,... are fixed in advance and t0 t1 t2 ... ;. We will assume that the changing of information by the external effects is done instantaneously in the form of impulses at the fixed moments t1,t2 ,..., t0 t1 t2. This means that the amount of information I (t ) in the case of short-terms discrete training is a peace-wise continuous function in t t0 with the points of discontinuity t1, t2 ,. In this study, provided that the five hypotheses formulated in the preceding paragraph are valid, as a special case of the mathematical model in [10], we can write the following initial value problem of differential equations with impulses that model the dynamics of the amount of information in the human memory:. The applications of this type equations are numerous (see [1] - [6], [9], [11] - [18])

MAIN RESULTS

The inequalities

Conclusion