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This book is the first of its kind to treat high-frequency trading and technical analysis as accurate sciences.
The aim of the book is to give a smooth analytic continuation from basic subjects including linear algebra, group theory, Hilbert space theory, etc. to number theory. With plenty of practical examples and worked-out exercises, and the scope ranging from these basic subjects made applicable to number-theoretic settings to advanced number theory, this book can then be read without tears. It will be of immense help to the reader to acquire basic sound skills in number theory and its applications.Number theory used to be described as the queen of mathematics, that is, there is no practical use. However, with the development of computers and the security of internet communications, the importance of number theory has been exponentially increasing daily. The raison d'être of the present book in this situation is that it is extremely reader-friendly while keeping the rigor of serious mathematics and in-depth analysis of practical applications to various subjects including control theory and pseudo-random number generation. The use of operators is prevailing rather abundantly in anticipation of applications to electrical engineering, allowing the reader to master these skills without much difficulty. It also delivers a very smooth bridging between elementary subjects including linear algebra and group theory (and algebraic number theory) for the reader to be well-versed in an efficient and effortless way. One of the main features of the book is that it gives several different approaches to the same topic, helping the reader to gain deeper insight and comprehension. Even just browsing through the materials would be beneficial to the reader.
Presents the important skills for those who want to do quantitative analysis on biological data, especially for high-throughput omics data. This book covers: essential knowledge and skills necessary to use a Linux computer; write programs in Perl, and the use of BioPerl to write bioinformatics Perl programs; and write programs in R.
Aimed at master's and Ph. D. students with a limited background in chemistry.
International Young Physicists' Tournament (IYPT), is one of the most prestigious international physics contests among high school students.
Nonlinear systems with stationary sets are important because they cover a lot of practical systems in engineering. This book presents an analysis as well as methods based on the global properties of systems with stationary sets in a unified time-domain and frequency-domain framework. It focuses on multi-input and multi-output systems.
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