Математика
Различные книги в жанре МатематикаMathematics of the market. Problem book
This book supplements the theoretical principles already published in books [1.1].It studies the issues that arise at various stages of functioning of the market and offers their solutions by using methods of the mass service theory. The application of the proposed mathematical methods enables rigorous calculations of the desired parameters.
Numerical Optimization of Automatic Control System: New Structures and Methods for VisSim Software
The book is intended for students enrolled in the educational field 27.04.04 «Control in Technical Systems» in the course «Computer-aided design tools and control systems» (for Bachelors in their 4th year). It includes training materials and guidelines for self-assessment (questions for selftesting). The basic knowledge of previously studied mathematical disciplines is required for successful study of this course.
Математика в занимательных рассказах
Даже в литературных текстах: романах-приключениях и фантастических рассказах встречаются головоломки, которые без знания математики не разрешить. «Математика в занимательных рассказах» Якова Перельмана поможет читателю понять теорию вероятности, разгадать загадку пирамиды Хеопса и вместе с героями Жюля Верна, Герберта Уэллса и других писателей совершить самые невероятные путешествия – на поверхность мыльного пузыря, на Луну и даже… путешествие во времени! Рассказы и отрывки из романов сопровождаются математическими пояснениями Перельмана и перемежаются числовыми анекдотами, задачами и фокусами с числами. Для среднего школьного возраста.
KS-метод обнаружения структурного сдвига в GARCH(1,1) моделях
В работе предложен новый метод обнаружения одного структурного сдвига в GARCH(1,1) модели, основанный на статистике Колмогорова–Смирнова. Хорошие свойства предлагаемого метода подкрепляются численными экспериментами. Метод сопоставляется с тремя широко известными CUSUM-методами обнаружения структурных сдвигов в GARCH моделях: KL (Kokoszka, Leipus, 1999), IT (Inclán, Tiao, 1994) и LTM (Lee et al., 2004). Для генерации GARCH процессов использовались временные ряды доходностей 26 российских ценных бумаг. На основе проведенных экспериментов показано, что предлагаемый метод обладает высокой конкурентоспособностью и занимает в некотором смысле «компромиссное» положение между KL-методом, имеющим высокие мощность и вероятность ошибки первого рода, и IT- и LTM-методами, мощность и вероятности ошибок первого рода которых низки.
Моделирование пространственной зависимости миграционных потоков выпускников вузов РФ
В данной работе представлены результаты моделирования миграционных процессов выпускников вузов РФ, в том числе с учетом влияния пространственного эффекта соседних регионов. Значимыми факторами миграции выпускников являются более высокий уровень доходов, ВРП на душу населения и уровень безработицы в принимающем регионе. С помощью инструментария пространственной эконометрики доказано наличие положительной пространственной автокорреляции по оттоку и притоку выпускников между соседними регионами.
What We Cannot Know: Explorations at the Edge of Knowledge
‘Brilliant and fascinating. No one is better at making the recondite accessible and exciting’ Bill BrysonBritain’s most famous mathematician takes us to the edge of knowledge to show us what we cannot know.Is the universe infinite?Do we know what happened before the Big Bang?Where is human consciousness located in the brain?And are there more undiscovered particles out there, beyond the Higgs boson?In the modern world, science is king: weekly headlines proclaim the latest scientific breakthroughs and numerous mathematical problems, once indecipherable, have now been solved. But are there limits to what we can discover about our physical universe?In this very personal journey to the edges of knowledge, Marcus du Sautoy investigates how leading experts in fields from quantum physics and cosmology, to sensory perception and neuroscience, have articulated the current lie of the land. In doing so, he travels to the very boundaries of understanding, questioning contradictory stories and consulting cutting edge data.Is it possible that we will one day know everything? Or are there fields of research that will always lie beyond the bounds of human comprehension? And if so, how do we cope with living in a universe where there are things that will forever transcend our understanding?In What We Cannot Know, Marcus du Sautoy leads us on a thought-provoking expedition to the furthest reaches of modern science. Prepare to be taken to the edge of knowledge to find out if there’s anything we truly cannot know.
How to significantly improve understanding of the basics of mathematics in a very short time
This book will tell you how to find and effectively correct missed data in mathematics and how to apply some simple and effective exercises that will considera by save your time and nerves when studying mathematics and preparing for exams.Also it will show in details some other major pitfalls – mathematical skills which were not learned and understood by a huge number of students and this prevents them from getting correct and confident answers when solving mathematical problems and tasks.
Интеллектуальные упражнения. Собрание математических головоломок
В книге собраны уникальные авторские головоломки на различные темы: логические, физические, геометрические, вероятностные, числовые и пр. Ко всем головоломкам приведены ответы, ко многим – решения. Для всех любителей математики.
3D Shape Analysis. Fundamentals, Theory, and Applications
An in-depth description of the state-of-the-art of 3D shape analysis techniques and their applications This book discusses the different topics that come under the title of «3D shape analysis». It covers the theoretical foundations and the major solutions that have been presented in the literature. It also establishes links between solutions proposed by different communities that studied 3D shape, such as mathematics and statistics, medical imaging, computer vision, and computer graphics. The first part of 3D Shape Analysis: Fundamentals, Theory, and Applications provides a review of the background concepts such as methods for the acquisition and representation of 3D geometries, and the fundamentals of geometry and topology. It specifically covers stereo matching, structured light, and intrinsic vs. extrinsic properties of shape. Parts 2 and 3 present a range of mathematical and algorithmic tools (which are used for e.g., global descriptors, keypoint detectors, local feature descriptors, and algorithms) that are commonly used for the detection, registration, recognition, classification, and retrieval of 3D objects. Both also place strong emphasis on recent techniques motivated by the spread of commodity devices for 3D acquisition. Part 4 demonstrates the use of these techniques in a selection of 3D shape analysis applications. It covers 3D face recognition, object recognition in 3D scenes, and 3D shape retrieval. It also discusses examples of semantic applications and cross domain 3D retrieval, i.e. how to retrieve 3D models using various types of modalities, e.g. sketches and/or images. The book concludes with a summary of the main ideas and discussions of the future trends. 3D Shape Analysis: Fundamentals, Theory, and Applications is an excellent reference for graduate students, researchers, and professionals in different fields of mathematics, computer science, and engineering. It is also ideal for courses in computer vision and computer graphics, as well as for those seeking 3D industrial/commercial solutions.