Composite materials are engineered from two or more constituents with significantly altered physical or chemical properties within the finished structure. Due to their special mechanical and physical properties they have the potential to replace conventional materials. This volume discusses durability of composite materials, wear mechanisms and resistance.

This book contains selected chapters on perfectoid spaces, their introduction and applications, as invented by Peter Scholze in his Fields Medal winning work. These contributions are presented at the conference on "Perfectoid Spaces" held at the International Centre for Theoretical Sciences, Bengaluru, India, from 9-20 September 2019. The objective of the book is to give an advanced introduction to Scholze's theory and understand the relation between perfectoid spaces and some aspects of arithmetic of modular (or, more generally, automorphic) forms such as representations mod p, lifting of modular forms, completed cohomology, local Langlands program, and special values of L-functions. All chapters are contributed by experts in the area of arithmetic geometry that will facilitate future research in the direction.

Now in its second edition, this volume provides a uniquely detailed study of $P$-adic differential equations. Assuming only a graduate-level background in number theory, the text builds the theory from first principles all the way to the frontiers of current research, highlighting analogies and links with the classical theory of ordinary differential equations. The author includes many original results which play a key role in the study of $P$-adic geometry, crystalline cohomology, $P$-adic Hodge theory, perfectoid spaces, and algorithms for L-functions of arithmetic varieties. This updated edition contains five new chapters, which revisit the theory of convergence of solutions of $P$-adic differential equations from a more global viewpoint, introducing the Berkovich analytification of the projective line, defining convergence polygons as functions on the projective line, and deriving a global index theorem in terms of the Laplacian of the convergence polygon.

The duration of diabetes, and fasting blood sugar values were significantly higher in patients with diabetes with severe CAN. Prolongation of QTC interval correlates well with degree of cardiac autonomic neuropathy in diabetics. QTC prolongation may be considered as pointer towards diabetic cardiac autonomic neuropathy in the busy outpatient setting where it is not possible to perform the conventional battery of tests. Recognition of QTC prolongation may help identify diabetics with a high risk of sudden cardiac death. Trying to manage diabetes is hard because if you don't, there are consequences you'll have to deal with later in life."