Mathematics and Computing: ICMC, Haldia, India, January 2015

✍ Scribed by Ram N. Mohapatra, Dipanwita Roy Chowdhury, Debasis Giri (eds.)

• Publisher: Springer India
• Year: 2015
• Tongue: English
• Leaves: 500
• Series: Springer Proceedings in Mathematics & Statistics 139
• Edition: 1
• Category: Library

✦ Synopsis

This book discusses recent developments and contemporary research in mathematics, statistics and their applications in computing. All contributing authors are eminent academicians, scientists, researchers and scholars in their respective fields, hailing from around the world. This is the second conference on mathematics and computing organized at Haldia Institute of Technology, India. The conference has emerged as a powerful forum, offering researchers a venue to discuss, interact and collaborate, and stimulating the advancement of mathematics and its applications in computer science. The book will allow aspiring researchers to update their knowledge of cryptography, algebra, frame theory, optimizations, stochastic processes, compressive sensing, functional analysis, complex variables, etc. Educating future consumers, users, producers, developers and researchers in mathematics and computing is a challenging task and essential to the development of modern society. Hence, mathematics and its applications in computing are of vital importance to a broad range of communities, including mathematicians and computing professionals across different educational levels and disciplines.

In current research, modeling and simulation, making decisions under uncertainty and pattern recognition have become very common. Professionals across different educational levels and disciplines need exposure to advances in mathematics and computing. In this context, this book presents research papers on applicable areas of current interest. It also includes papers in which experts summarize research findings, such as signal processing and analysis and low-rank-matrix approximation for solving large systems, which will emerge as powerful tools for further research. These new advances and cutting-edge research in the fields of mathematics and their applications to computing are of paramount importance for young researchers.

✦ Table of Contents

Front Matter....Pages i-xxiii
Integral Representations Related to Complex Partial Differential Operators....Pages 1-17
Higher Order Hybrid Invexity Frameworks and Discrete Multiobjective Fractional Programming Problems....Pages 19-35
A Study of Generalized Invex Functions on Riemannian Manifold....Pages 37-48
Second-order Symmetric Duality and Variational Problems....Pages 49-57
Efficient Portfolio for Interval Sharpe Ratio Model....Pages 59-77
On Solvability for Certain Functional Equations Arising in Dynamic Programming....Pages 79-94
CASca:A CA Based Scalable Stream Cipher....Pages 95-105
Improved Cryptographic Puzzle Based on Modular Exponentiation....Pages 107-121
Computationally Secure Robust Multi-secret Sharing for General Access Structure....Pages 123-134
Key Chain-Based Key Predistribution Protocols for Securing Wireless Sensor Networks....Pages 135-154
IMSmining: A Tool for Imaging Mass Spectrometry Data Biomarker Selection and Classification....Pages 155-162
Pal Interpolation of Integral Types....Pages 163-185
Positivity Preserving Rational Cubic Trigonometric Fractal Interpolation Functions....Pages 187-202
A Monotonic Rational Fractal Interpolation Surface and Its Analytical Properties....Pages 203-222
Toward a Unified Methodology for Fractal Extension of Various Shape Preserving Spline Interpolants....Pages 223-238
Unistochastic Matrices and Related Problems....Pages 239-250
Film Story Structure and Shot Type Analysis Using One-Way ANOVA, Kruskal–Wallis Test, and Poisson Distribution Test....Pages 251-264
Characterization of Total Very Excellent Trees....Pages 265-275
Quadratic Residue Cayley Graphs on Composite Modulus....Pages 277-287
A Dynamic Programming Algorithm for Solving Bi-Objective Fuzzy Knapsack Problem....Pages 289-306
A Fuzzy Random Periodic Review Inventory Model Involving Controllable Back-Order Rate and Variable Lead-Time....Pages 307-320
Supplier Selection Using Fuzzy Risk Analysis....Pages 321-337
The Control for Prey–Predator System with Time Delay and Refuge....Pages 339-348
Evaluation of Solving Time for Multivariate Quadratic Equation System Using XL Algorithm Over Small Finite Fields on GPU....Pages 349-361
Hierarchical Visual Secret Sharing Scheme Using Steganography....Pages 363-389
Covering Arrays of Strength Four and Software Testing....Pages 391-398
Amplitude Equation for a Nonlinear Three Dimensional Convective Flow in a Mushy Layer....Pages 399-410
Effect of Variable Bottom Topography on Water Wave Incident on a Finite Dock....Pages 411-426
Electrokinetic Effects on Solute Mixing Near a Conducting Obstacle Within a Microchannel....Pages 427-439
Distribution of Primitive Polynomials Over GF(2) with Respect to Their Weights....Pages 441-449
Medial Left Bipotent Seminear-Rings....Pages 451-457
Subcentral Automorphisms....Pages 459-466
....Pages 467-480

✦ Subjects

Mathematical Applications in Computer Science; Mathematical Modeling and Industrial Mathematics; Algebra; Optimization; Probability Theory and Stochastic Processes