Exponential functions constitute the foundation of numerous mathematical models, which adequately describe physical, biological and other types of real phenomena. The author discovered and proved new fundamental properties of sums of exponential functions, and illustrated application of these properties to different kinds of natural phenomena. In particular, he considered applications in biology, in the area of cells' growth and replication; he investigated also sums of transitional electrical signals, and analyzed other natural phenomena with relationship to their mathematical models, with some philosophical generalizations. The discovered properties of sums of exponential functions are formulated in the form of a mathematical Theorem, added with its eight corollaries and one conjecture. In particular, using the Theorem, the author solved a century old enigma how many solutions the IRR equation has. (This equation, which abbreviation stands for Internal Rate of Return, is a foundation of a large area of financial mathematics studying mortgages, annuities, other lending instruments, and investment performance measurement.) The author introduced also a new mathematical concepts of pair functions, pair functions synchronization and other interesting concepts in order to prove the Theorem. However, these new concepts have a much broader scope of application, and can be used in other areas of applied and pure mathematics, and in practical applications as a valuable tool for modeling of natural phenomena, data interpretation, etc. In general, the Theorem and its Corollaries represent very useful quantitative and qualitative instruments for the discovery and understanding of different aspects of Nature, and can be applied in numerous areas of science and technology.

Sums of Exponential Functions and Their New Fundamental Properties With Applications to Natural Phenomena

Science & Math

Shestopaloff, Yuri K.

Mathematics

Akvy Pr

<p>This book presents the mathematical foundations of mortgages and annuities. Starting from scratch, the reader, together with the author, builds a solid, efficient and complete knowledge base. Concise and carefully arranged material presents both the necessary theoretical underpinnings of the subject as well as its practical aspects. Lots of numerical examples, exercises and problems contribute to producing a high quality text. Undergraduate and graduate students in a variety of disciplines, from financial mathematics to investments, as well as teachers, professors, and industry specialists will find this book an invaluable educational and practical resource.</p>

Mortgages and Annuities: An Introduction

Business & Money

Finance

Short Stories. Travels and Adventures. Humour (Russian Edition)

Literature & Fiction

Literary

The book considers system design in the entirety of all its interrelated factors. The focus is on conceptual, methodological and technological aspects. However, many other related issues are considered too, such as organization and structure of the development process, creation of development team and organization of its work. Each of these issues is covered in detail. The author presents an unbiased analysis of pros and cons of different approaches to system design, as well as his own conceptual vision of the discipline, a result of many years of software project development in high-tech and financial industries. The material is enhanced by examples, figures, diagrams and code excerpts. The content is accessible to a very wide audience. Even the unprepared reader can find a large part of the material useful and interesting, especially the conceptual content that can be easily transferred "across the border" to other disciplines. Specialists working in the software industry as well as those who teach or study related subjects in an academic environment will find this book highly informative and thought provoking. It is especially recommended for system designers, advanced level programmers, engineers, project leaders and managers.

Design and Implementation of Reliable and High Performance Software Systems Including Distributed and Parallel Computing and Interprocess Communication Designs

Computers & Technology

Computer Science

The story tells about real events. A group of six mountaineers explores the high altitude region of Tuva, the mountain area on the border of Mongolia and Russia. Unexpectedly, for this time of the year, the temperatures drop sharply and the weather brings snow storms and bitter cold. However, the group decides to stay on their route. This is a story about what makes a difference in life and achievements of people. The narrative is discreet and measured, often with humor, but the thrill and tension are beating underneath, which makes the reading emotional and dramatic.

In the Mountains (The Roads We Take)

Children's Books

Action & Adventure

The authors of this book published many articles in peer-reviewed professional journals, including several articles that received awards. This time, they study the problem of multiple roots of IRR equation and introduce a novel "largest root" rule for selecting the correct solution, which effectively resolves the puzzle of IRR equation. Besides this main subject of the book, other important approaches and concepts that relate to the problem and investment performance measurement are considered, such as the concept of investment context. Within this conceptual framework, the authors study and compare different methods for calculating rates of return, such as IRR, Modified Dietz, TWRR, geometric linking, NPV, MIRR, etc., and introduce improvements and generalizations of existing methods and propose several new ones. The book also considers algorithms for linking rates of return. Overall, the book provides an excellent, concise but nonetheless comprehensive, overview of investment performance measurement problems and related issues and presents well founded solutions. The book was written for a wide audience of financial industry professionals, academics and students studying finance and investment business.

Solving the Puzzle of Irr Equation. Choosing the Right Solution to Measure Investment Success

Shestopaloff, Alexander Yu

<p>This book is a continuation of previous studies of growth mechanisms by the same author. Results of earlier research have been published in books and scientific journals. This time, the growth mechanisms are considered both from the physical and biochemical perspectives. These two types of growth mechanisms form a single mechanism that governs the growth of living organisms. The findings relate and connect numerous aspects and specific features of growth and replication, which previously were considered as unrelated fragments, into a single growth and replication phenomenon governed by a general law of Nature. It was discovered that the answer to the growth puzzle resides both in the physical and biochemical realms, with the leading role being played by the physical, spatial characteristics of organisms. Geometrical characteristics of an organism define the value of the growth ratio, which in turn defines the distribution of nutritional resources between the maintenance needs and the biomass synthesis. The fraction of nutritional resources diverted to the biomass synthesis defines the amount of synthesized biomass, and through this, the composition of biochemical reactions. Thus, during the growth, combined changes in organism's geometry and related changes of influx of nutrients influence the composition of biochemical reactions in such a way that organisms progress through the whole growth cycle. The material is well presented. Any person interested in the subject and familiar with the basics of physics and biology will understand the presented concepts and the whole content, which is much facilitated by numerous graphical illustrations and numerical examples.</p>

Growth and Replication of Living Organisms: General Law of Growth and Replication and the Unity of Biochemical and Physical Mechanisms

Biological Sciences

The book "Queen. Collection of short stories", includes stories written by Yuri K. Shestopaloff, which were earlier published in different periodic journals and on-line. The author's short stories were received warmly by many readers; the author was thanked for the ingenuity and humanism of his stories, intriguing plots and literary skills, which gave the readers many minutes of enjoyable reading. Overall, these are literary writings, in a classical style, of an educated and intelligent person, who has a clear understanding of modern societies and adheres to eternal human values.

Queen. Collection of Stories (Russian Edition)

The book continues studies of growth mechanisms by the same author. Results of earlier research have been published in books and scientific journals. Growth is considered as a phenomenon governed by the unity of physical and biochemical growth mechanisms. The findings relate and connect numerous aspects of growth and replication, which previously were considered to be unrelated fragments, into a single phenomenon governed by a general law of Nature, introduced in this book. It was discovered that the answer to the growth puzzle resides both in the physical and biochemical realms. Geometrical characteristics of an organism uniquely define the distribution of nutritional resources between maintenance needs and biomass synthesis, through the growth ratio parameter, which monotonically decreases during growth. In turn, the fraction of nutritional resources diverted towards biomass synthesis defines the amount of synthesized biomass, and through this, the composition of biochemical reactions. Thus, during growth, combined changes in an organism's geometry and related changes of distribution of influx of nutrients influence the composition of biochemical reactions in such a way that organisms progress through the whole growth cycle. In addition, the book significantly advances the subject of population growth. It introduces new advanced formulas which take into account numerous factors affecting growth of populations. In particular, it was explained why J-curve and S-curve are so characteristic for population growth. The material is well presented. Any person interested in the subject and familiar with the basics of physics and biology will understand the introduced concepts and the whole content, which is much facilitated by numerous graphical illustrations and numerical examples.

Growth and Replication of Living Organisms: General Law of Growth and Replication and the Unity of Biochemical and Physical Mechanisms. Third Revised Edition

This book tells about the method of how to get rid of both fingernail and toenail fungus infection. The cost depends on how many nails are affected by fungus. For 2-3 nails, the price could be few tens of dollars (roughly $23 for antifungal cream and $8 for the adhesive tape). The idea of the method is first to remove parts of nails damaged by the fungus infection, destroy fungus by antifungal cream and then guard nails from reoccurrence of infection until they completely grow up. The following accessories are used: adhesive tape, scissors (for cutting adhesive tape), manicure cutters for cutting nails, and, in some rare cases, iodine. Treatment takes about the same time which is required for nails to grow. It is not completely pain and blood free, although the pain is rather minimal and actually can be largely eliminated using procedures and precautions discussed in this book. The method worked well for the author, but people are different, so that the author cannot guarantee that it will work for others as good, especially given the fact that method's effectiveness directly depends on the accuracy and regularity of discussed procedures. The book presents 19 colour photos, illustrating the method, and detailed explanations of required procedures.

Curing Fungus Infection of Nails: Getting Rid of Nail Fungus Problem

Health, Fitness & Dieting

Diseases & Physical Ailments

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Books by Shestopaloff, Yuri K.