Open Access. Powered by Scholars. Published by Universities.®

Physical Sciences and Mathematics Commons

Open Access. Powered by Scholars. Published by Universities.®

Articles 1 - 4 of 4

Full-Text Articles in Physical Sciences and Mathematics

Study Of Dynamic Programming And Gambling Systems., N. D. Prabhakar Dr. Jul 1973

Study Of Dynamic Programming And Gambling Systems., N. D. Prabhakar Dr.

Doctoral Theses

The body of methods known as Dynamic Programming (d.p.) was developed by Bellman and was successfully applied by him to solve practical problems in diverse fields (see 12] and the pa pers cited there.). These methods revolved around an intuitively appealing principle which Bellman called the principle of optimatity. A general formulation of d.p. problem was given by Blackwell (3, s] which is narrower in scope than Bollman's but includes many important applications i12) and offers a proper framework for asking the many inte- resting and mathematically sophisticated questions that arise in d.p.. Strauch, Brown, Maitra, Furukawa, Dantas, Hinderer etc., …


Maximal And Minimal Topologies., Asit Baran Raha Dr. Feb 1973

Maximal And Minimal Topologies., Asit Baran Raha Dr.

Doctoral Theses

Given a topological property Ï€ and a pon-void set X, let Ï€(X) denote the set of topologies on X with property Ï€. 7 (X) is obviously partially ordered by inclusion, A topologi- cal space (X,T) is minimal if T is a minimal element in T (X). (X, T) is said to be maximal Ï€ if T1 1s a maximalelement in Ï€(X), The study of maximal and minimal topological space is, as a matter of fact, a study of maximal Ï€ and minimal Ï€ spaces. Topological spaces closely related to minimal T sp aces are T-closed and KatetoV T spaces, (X,T) …


Studies In Boolean Algebras And Measure Theory., K. P. S. Bhaskara Rao Dr. Feb 1973

Studies In Boolean Algebras And Measure Theory., K. P. S. Bhaskara Rao Dr.

Doctoral Theses

This Thesis is divided into six chapters the first three chapters constituting studies in Boolean algebras and the last three chapters constituting studies in measure theory. We give below a sketch of the main problems treated in this Thesis.A De composition theorem due to Sobczyk and Hammer (28] implies that strongly continuous charges on Boolean algebras play a role similar to that of nonatomic measures on Boolean g-algebras. CHAPTER 1. Rudin [25] and Knowles [14] gave necessary and sufficient conditions for the Boral o-ficld of a compact Hausdorff space to admit a nonatomic measure. But there are no necessary and …


Contributions To Methodology Of Construction Of Consistent Index Number., Dodla Sai Prasada Rao Dr. Feb 1973

Contributions To Methodology Of Construction Of Consistent Index Number., Dodla Sai Prasada Rao Dr.

Doctoral Theses

International variation in national product is a subject of considerable interest, and any meaningful comparison of national product or per capita national income has to be in termo of a common currency. An intertemporal comparison for the same country at two points of time is mote meaningful in real terms, or in other words when the currency unit is adjusted for change in the general price level between the two points of time. In the same manner, the level of output or of consumption of a group of persons belonging to a region or to a particular socio-economio group can …