Presenting topics that have not previously been contained in a single volume, this book offers an up-to-date review of computational methods in electromagnetism, with a focus on recent results in the numerical simulation of real-life electromagnetic problems and on theoretical results that are useful in devising and analyzing approximation algorithms. Based on four courses delivered in Cetraro …
The construction of solutions of singularly perturbed systems of equations and boundary value problems that are characteristic for the mechanics of thin-walled structures are the main focus of the book. The theoretical results are supplemented by the analysis of problems and exercises. Some of the topics are rarely discussed in the textbooks, for example, the Newton polyhedron, which is a gener…
This book presents the theory of asymptotic integration for both linear differential and difference equations. This type of asymptotic analysis is based on some fundamental principles by Norman Levinson. While he applied them to a special class of differential equations, subsequent work has shown that the same principles lead to asymptotic results for much wider classes of differential and also…
This book elaborates on the asymptotic behaviour, when N is large, of certain N-dimensional integrals which typically occur in random matrices, or in 1+1 dimensional quantum integrable models solvable by the quantum separation of variables. The introduction presents the underpinning motivations for this problem, a historical overview, and a summary of the strategy, which is applicable in greate…
This brief treats dynamical systems that involve delays and random disturbances. The study is motivated by a wide variety of systems in real life in which random noise has to be taken into consideration and the effect of delays cannot be ignored. Concentrating on such systems that are described by functional stochastic differential equations, this work focuses on the study of large time behavio…
This works focuses on regularity theory for solutions to the p-Laplace equation in the Heisenberg group. In particular, it presents detailed proofs of smoothness for solutions to the non-degenerate equation and of Lipschitz regularity for solutions to the degenerate one. An introductory chapter presents the basic properties of the Heisenberg group, making the coverage self-contained. The settin…
This volume explores microRNA function in a wide array of human disorders, providing a clinical basis for precision medicine and personalized therapies using these molecules. The twenty-one chapters, all authored by internationally-renowned experts, open with an introduction contextualizing microRNA manipulation within today’s initiatives towards precision medicine. The following chapters exp…
This volume thoroughly explores of the functional role of microRNAs in cancer. It not only expertly describes the molecular mechanisms underlying the malignant transformation process but also compiles cutting-edge research on microRNAs in several forms of cancer, including colorectal cancer, pancreatic cancer, leukemia/lymphoma, prostate cancer, lung cancer, ovarian cancer, and bone cancer. Dis…
This volume explores microRNA pathophysiology, focusing on basic concepts in molecular and cellular biology. Chapters contributed by leading scientists examine recently discovered pathways in several processes, including aging, diabetes, cardiovascular disease, hematopoiesis, and mitochondrial fitness. The authors contextualize microRNAs within epigenetics and micropeptidomics, angiongenesis an…
This book introduces you to professional photography and composition principles, tricks and techniques of iphoneography, photosharing, and more. Do you have a smartphone with you right now? If you do, along with this book, you've got everything you need to make amazing photography. The first three chapters of the book use digital photography history to give you an overview of the capabi…