Advances in Mathematics and Computer Science Vol. 4
Synopsis
This book covers all areas of mathematics and computer science. The contributions by the authors include Laplacian, zeta function, casimir energy, parallelepiped, analytic continuation, geometrical constructions, multiple solutions for one task, DGE – Dynamic Geometry Environments, DGS  Dynamic geometry software, HamiltonJacobiBellman (HJB) equation, OrnsteinUhlenbeck, stochastic, normalized cut, Kway cut, higher order derivative, diophantine equation, recurcive formula, cloud computing, queuing theory, embedded Markov chain, MMPP processes, graph labeling, prime labeling, prime graphs, path related graphs, square difference, Weibull distribution, noninformative and beta prior, squared error, precautionary and entropy loss functions, Interactive Voice Response (IVR), failure intensity parameter value, human computer interaction, Kalman filter, Lainiotis filter, topological index, redefined third Zagreb index, (a,b)Zagreb index etc. This book contains various materials suitable for students, researchers and academicians in the field of mathematics and computer science.
Chapters

Chapter 1Tank Level Prediction Using Kalman and Lainiotis Filters

Chapter 2The Impact of Consumption on an Investor’s Strategy under Stochastic Interest Rate and Correlating Brownian Motions

Chapter 3A Queuing Model to Analyze Data Center Performances in a Cloud Computing Environment

Chapter 4Some Sdegree Based Topological Indices of Silicates (SiO2) Layer

Chapter 5A zeta function Computation of Casimir Energy

Chapter 6Improving Method of Evaluating Semantic Filtering for Human Computer Interaction in an Adaptive Collaborative Learning Environment

Chapter 7Finding the Location of the Axes, the Vertices and the Foci of a Parabola, an Ellipse and a Hyperbola Using a Straightedge and a Compass

Chapter 8Image Segmentation Using N  Cut Based Graph Partitioning

Chapter 9Bayesian Approach to Reliability Estimation

Chapter 10Reliability Measurement of Square Model to Develop IVR Software

Chapter 11Proposition of a Recursive Formula to Calculate the Higher Order Derivative of a Composite Function without Using the Resolution of the Diophantine Equation

Chapter 12Square Difference Prime Labeling –More Results on Path Related Graphs