Bücher von Arnab Bhattacharyya

This book introduces important results and techniques in property testing, where the goal is to design algorithms that decide whether their input satisfies a predetermined property in sublinear time, or even in constant time - that is, time is independent of the input size. This book consists of three parts. The first part provides an introduction to the foundations of property testing. The second part studies the testing of specific properties on strings, graphs, functions, and constraint satisfaction problems. Vectors and matrices over real numbers are also covered. The third part is more advanced and explains general conditions, including full characterizations, under which properties are constant-query testable.The first and second parts of the book are intended for first-year graduate students in computer science. They should also be accessible to undergraduate students with the adequate background. The third part can be used by researchers or ambitious graduate students who want to gain a deeper theoretical understanding of property testing.

This book focuses on the computational methods used in understanding various material phenomena. It is divided into four chapters. The first chapter is based on computational studies of the vibrations of different molecules. The second chapter shows the computational modeling of epitaxial thin film growth by sputtering. The third chapter gives simulated M-H plots and exchange bias occurring in ferromagnetic/antiferromagnetic layers. The last chapter deals with the kinetic study of nanoparticle drug delivery. The experimental work given in Chapter 3 has been carried out at Indian Association for the Cultivation of science, Calcutta and Nuclear Science Centre, New Delhi. Computational work and data Analysis has been done in this project.

The effect of substrate was studied using nanoindentation on thin films. Soft films on hard substrate showed more pile up than usual which was attributed to the dislocation pile up at the film substrate interface. The effect of tip blunting on the load depth and hardness plots of nanoindentation was shown. The experimental date of variation of Vickers hardness with film thickness and loads were fitted and new parameters were analyzed. The delaminated area was analyzed using geometrical shapes using optical view of the failure region along with the load displacement Indentation fracture using Nanoindentation using Berkovich indenter has been studied. Indentation fracture toughness (KR) was analyzed based on computational programs. The contact mechanics during nanoindentation was studied with parameters related to indenter shape and tip sharpness. Elastic, plastic and total energies were computationally determined. The energy difference was related to shear stress being generated with elastic to plastic transition. Change in the nature of residual stress was related to film thickness.

Bismaleimide (BMI) are thermoseting polymers for aerospace applications. Processing of these polymers in the form of coatings followed by metallization as well as surface treatment with plasma enhances its applicability. Corrosion and mechanical tests were performed and the structure of these materials have been thoroughly investigated by FTIR and XRD. The effect of adding inorganic fillers into BMI have also been observed.

This book introduces important results and techniques in property testing, where the goal is to design algorithms that decide whether their input satisfies a predetermined property in sublinear time, or even in constant time - that is, time is independent of the input size. This book consists of three parts. The first part provides an introduction to the foundations of property testing. The second part studies the testing of specific properties on strings, graphs, functions, and constraint satisfaction problems. Vectors and matrices over real numbers are also covered. The third part is more advanced and explains general conditions, including full characterizations, under which properties are constant-query testable.The first and second parts of the book are intended for first-year graduate students in computer science. They should also be accessible to undergraduate students with the adequate background. The third part can be used by researchers or ambitious graduate students who want to gain a deeper theoretical understanding of property testing.