Theory and Practice of Mathematics and Computer Science Vol. 1

Authors

Dr. Belkacem Chaouchi, (Editor)

Professor, Department of Mathematics, Faculty of Sciences, Khemis Miliana University, Algeria.

N. K. Sajeevkumar

Department of Statistics, Government College Kariavattom, Thiruvananthapuram-695581, India.

S. K. Kharade

Department of Mathematics, Shivaji University, Kolhapur, India.

K. G. Kharade

Department of Computer Science, Shivaji University, Kolhapur, India.

V. S. Kumbhar

Department of Computer Science, Shivaji University, Kolhapur, India.

R. K. Kamat

Department of Electronics, Shivaji University, Kolhapur, India.

K. S. Oza

Department of Computer Science, Shivaji University, Kolhapur, India.

Barchand Chanam

Department of Mathematics, National Institute of Technology, Manipur, India.

Manish Kumar Mishra

Department of Computer Science, University of Gondar, Ethiopia.

Gul Shaira Banu Jahangeer

Department of Computer Science and Engineering, Kalasalingam Academy of Research and Education, India, Srivilliputhur, Tamil Nadu, India.

T. Dhiliphan Rajkumar

Faculty of Computer Science and Engineering, Kalasalingam Academy of Research and Education, Tamilnadu, India.

Gane Samb Lo

LERSTAD, Gaston Berger University, Saint-Louis, Senegal and LSTA, Pierre and Marie Curie University, Paris VI, France and AUST - African University of Science and Technology, Abuja, Nigeria.

Aladji Babacar Niang

LERSTAD, Gaston Berger University, Saint-Louis, Senegal.

Lois Chinwendu Okereke

Department of Pure and applied Mathematics, African University of Science and Technology (Abuja), Abuja, Nigeria.

Moussoda Toure

LERSTAD, Gaston Berger University, Saint-Louis, Senegal.

Cherif Mamadou Moctar Traore

LERSTAD, Gaston Berger University, Saint-Louis, Senegal and LMA/USTTB - Univestide des Sciences, Techniques et Technologies de Bamako, Mali.

Harouna Sangare

LERSTAD, Gaston Berger University, Saint-Louis, Senegal and DER MI, FST, Universite des Sciences, des Techniques et des Technologies de Bamako (USTT-B), Mali.

Besma Bennour

Department of Mathematics and Informatics, Larbi Ben M'hidi University, Oum El Bouaghi, Algeria.

Soheir Belaloui

Department of Mathematics, Constantine 1 University, Algeria.

Ruffin-Benot M. Ngoie

Department of Mathematics, Institut Suprieur Pdagogique de Mbanza-Ngungu, Democratic Republic of the Congo.

Berthold Ulungu

Faculty of Mechanics, Institut Suprieur des Techniques Appliques, Democratic Republic of the Congo.

Synopsis

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.

Chapters

Chapter 1
Estimation of a Parameter of Certain Bivariate Distributions with Equal Coefficients of Variation by Concomitants of Record Values

N. K. Sajeevkumar
Chapter 2
Evaluation of Arithmetic Searches over String Searches for Better Performance

S. K. Kharade, K. G. Kharade, V. S. Kumbhar, R. K. Kamat
Chapter 3
Selection of Table Scan or Seek Scan on the Basis of Data Size to Reduce Number of Logical Reads

S. K. Kharade, K. G. Kharade, K. S. Oza, R. K. Kamat
Chapter 4
Extensions of Bernstein Type Inequalities of a Polynomial to Polar Derivative

Barchand Chanam
Chapter 5
An Experimental Approach to Improve the Performance of FCFS Disk Scheduling Algorithm

Manish Kumar Mishra
Chapter 6
Higher Power Growth of Polynomials with Prescribed Zeros

Barchand Chanam
Chapter 7
An Experimental Implementation of Map Reduce on the Hadoop for Analyzing Big Data

Gul Shaira Banu Jahangeer, T. Dhiliphan Rajkumar
Chapter 8
A Detailed and Direct Proof of Skorohod-Wichura's Theorem

Gane Samb Lo, Aladji Babacar Niang, Lois Chinwendu Okereke
Chapter 9
A Recent and Modern Approach to The Moment Problem on R

Moussoda Toure, Gane Samb Lo, Aladji Babacar Niang
Chapter 10
A Comparative study between Riemann-Stieltjes and Lebesgue-Stieltjes Integration using Discrete Distribution Functions

Gane Samb Lo, Aladji Babacar Niang, Cherif Mamadou Moctar Traore
Chapter 11
Study on A Direct Construction of the Standard Brownian Motion

Gane Samb Lo, Aladji Babacar Niang, Harouna Sangare
Chapter 12
Studies on Reliability of Linear and Circular Consecutive-k-out-of-n Systems with Shock Model

Besma Bennour, Soheir Belaloui
Chapter 13
Estimation of the Parameter of Certain Distributions with Known Coefficient of Variation by U-Statistics

N. K. Sajeevkumar
Chapter 14
Hybridizing Median and Average for Measuring, Electing and Ranking Candidates

Ruffin-Benot M. Ngoie, Berthold Ulungu