Theory and Practice of Mathematics and Computer Science Vol. 1

This book covers all areas of mathematics and computer science. The contributions by the authors include bivariate normal distribution; Morgenstern type bivariate logistic distribution; Morgenstern type bivariate exponential distribution; best linear unbiased estimation; coefficient of variation; concomitants of record values; logical reads; numeric data type; SQL performance; textual data type; DBMS; information retrieval; polynomial; polar derivative of a polynomial; maximum modulus; operating system; disk scheduling; seek time; average seek time; FCFS; IFCFS; polynomial Inequalities; maximum modulus; map reduce; Hadoop; distributed computing; Skorohod-Wichura theorem; weak convergence of probability measure; product spaces; arbitrary products; complete spaces; moment problems; ordered Hahn-Banach theorem version; probability measures characterizations by moments; weak convergence using moments; Riemann-Stieltjes integral; Lebesgue-Stieltjes integral; jump points and functions; integrability; integral formulas; Standard Brownian motion; Kolmogorov existence theorem; dyadic numbers; sequential construction; linear and circular consecutive-k-out-of-n system; reliability function; failure rate; shock model; normal distribution; logistic distribution; double exponential distribution; best linear unbiased estimation; coefficient of variation; order statistics; U-statistic estimator; majority judgment; mean-median compromise method etc. This book contains various materials suitable for students, researchers and academicians in the field of mathematics and computer science.