Geodesic
Generalization of some results on the degree of progress to goal in self-organization process
Kragujevac Journal of Mathematics, Tome 29 (2006) no. 1.

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

The degree of progress to goal at any stage during self-organization process was considered in Olatinwo [8]. The transition probabilities at various time intervals(including initial and final times) were evaluated and then subsequently interpreted as the degrees of progress to goal at such time intervals. The distance function employed in that paper was time-dependent of explicit form, contained in Adeagbo-Sheikh [1]. In this paper, we generalize the results of Olatinwo [8] by considering a distance function which is an implicit function of time. We apply both the notions of Jensen's inequality and triangle inequality as well as the elementary ideas of the convex functions and the curve theory.\par The results obtained are in agreement with the axiomatic properties of probability. 
@article{KJM_2006_29_1_a15,
     author = {M. O. Olatinwo},
     title = {Generalization of some results on the degree of progress to goal in self-organization process},
     journal = {Kragujevac Journal of Mathematics},
     pages = {157 - 164},
     publisher = {mathdoc},
     volume = {29},
     number = {1},
     year = {2006},
     url = {http://geodesic.mathdoc.fr/item/KJM_2006_29_1_a15/}
}
TY  - JOUR
AU  - M. O. Olatinwo
TI  - Generalization of some results on the degree of progress to goal in self-organization process
JO  - Kragujevac Journal of Mathematics
PY  - 2006
SP  - 157 
EP  -  164
VL  - 29
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/KJM_2006_29_1_a15/
ID  - KJM_2006_29_1_a15
ER  - 
%0 Journal Article
%A M. O. Olatinwo
%T Generalization of some results on the degree of progress to goal in self-organization process
%J Kragujevac Journal of Mathematics
%D 2006
%P 157 - 164
%V 29
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/KJM_2006_29_1_a15/
%F KJM_2006_29_1_a15
M. O. Olatinwo. Generalization of some results on the degree of progress to goal in self-organization process. Kragujevac Journal of Mathematics, Tome 29 (2006) no. 1. http://geodesic.mathdoc.fr/item/KJM_2006_29_1_a15/