Название: Approximate Degree in Classical and Quantum Computing
Автор: Mark Bun, Justin Thaler
Издательство: Now Publishers
Серия: Foundations and Trends in Theoretical Computer Science
Год: 2023
Страниц: 203
Язык: английский
Формат: pdf (true), epub
Размер: 35.6 MB

The ability (or inability) to represent or approximate Boolean functions by polynomials is a central concept in complexity theory, underlying interactive and probabilistically checkable proof systems, circuit lower bounds, quantum complexity theory, and more. In this book, the authors survey what is known about a particularly natural notion of approximation by polynomials, capturing pointwise approximation over the real numbers. This book covers recent progress on proving approximate degree lower and upper bounds and describes some applications of the new bounds to oracle separations, quantum query and communication complexity, and circuit complexity. The authors explain how several of these advances have been unlocked by a particularly simple and elegant technique, called dual block composition, for constructing solutions to this dual linear program. They also provide concise coverage of even more recent lower bound techniques based on a new complexity measure called spectral sensitivity. Finally, they show how explicit constructions of approximating polynomials have been inspired by quantum query algorithms. This book provides a comprehensive review of the foundational and recent developments of an important topic in both classical and quantum computing.

Название: Cosmology, Physics, and Philosophy: Including a New Theory of Aesthetics
Автор: Benjamin Gal-Or
Издательство: Springer
ISBN: 1461596637
Год: 1987
Формат: PDF
Страниц: 556
Размер: 59,3 МБ
Язык: Английский

What is unorthodox in this book? Much has happened in the last few years, especially in terms of the somewhat surpris­ ing rate at which the theories presented herein have been gaining increasing acceptance and support even by the most skeptical professionals. Nevertheless, the purpose of this up-dated Preface is not to tell the biographical and acceptance story behind this book, but to bring together some non-physical and non­ technical conclusions for those readers who find the physico-mathematical sections of this book too difficult to follow.

Название: Read, Talk, Write: 35 Lessons That Teach Students to Analyze Fiction and Nonfiction
Автор: Laura Robb
Издательство: Corwin
Год: 2016
Формат: EPUB
Размер: 15 Мб
Язык: английский / English

When you get right down to it, literacy comes down to this: read, talk, write. But as every teacher knows, it can be hard for students to see and use these three moves in concert—until now. In Read, Talk, Write, Laura Robb lays out the classroom structures that create the time and space for students to have productive talk and written discourse about texts.

Название: Дискретная математика. Формально-логические системы и языки
Автор: Авдошин С.М., Набебин А.А.
Издательство: Москва
Год: 2018
Cтраниц: 390
Формат: pdf (ocr)
Размер: 17 мб
Язык: русский

Книга содержит основные сведения из формально-логических систем. Это функции алгебры логики (булевы функции), теорема Поста о функциональной полноте, k-значные логики, производные булевых функций, аксиоматические исчисления высказываний, предикатов, секвенций, резолюций и язык программирования Пролог. Рассматриваются монадическая логика, конечные автоматы и представимые ими языки, темпоральная логика, аксиоматический язык программирования OBJ3.

Название: Creative Puzzles to Ignite Your Mind
Автор: Shyam Sunder Gupta
Издательство: Springer
Серия: Problem Books in Mathematics
Год: 2023
Страниц: 211
Язык: английский
Формат: pdf (true), epub
Размер: 10.1 MB

This book contains a large variety of intriguing puzzles with detailed ingenious solutions generally not found elsewhere. This book is a great treasure for everybody who enjoys the beauty of fascinating world of recreational mathematics. Puzzles in the book can be browsed at random as these are not grouped in any orderly manner. Apart from puzzle enthusiasts and mathlovers, the book is considered of immense value for aspirants of Math Olympiad, CAT/MBA and job interviews of big companies like Google, Microsoft, Amazon, Apple, Facebook, Yahoo, NVidia, Oracle, Adobe, Morgan Stanley, Bloomberg, etc. The title of puzzles has been suitably framed. Repetition of similar type of puzzles has been avoided to keep the book in a concise form. However, important aspects of similar puzzles, if any, have been covered in comments section.

Название: Organocatalytic Dynamic Kinetic Resolution
Автор: Pellissier H.
Издательство: The Royal Society of Chemistry
Год: 2022
Формат: PDF
Страниц: 168
Размер: 10,4 МБ
Язык: English

In a classical kinetic resolution, two enantiomers of a racemate are transformed into chiral products at different rates with a maximum theoretical yield of 50%. However, the need to reduce costs and waste in synthesis have led to efforts to develop novel resolution procedures proceeding beyond this 50% limited yield. This has led to the evolution of classical kinetic resolution into dynamic kinetic resolution (DKR), allowing a quantitative yield of one of the enantiomers. DKR combines the resolution step of kinetic resolution with an in-situ racemization of the chirally-labile substrate. It is only in the last two decades that chiral green organocatalysts have been demonstrated to be capable of promoting DKRs considerably expanding the synthetic scope of the powerful concept of DKR.

Название: Сборник задач по геометрии (в 2- частях)
Автор: Гусева Н.И., Денисова Н.С., Тесля О.Ю.
Издательство: М.: КНОРУС
Год: 2012
Cтраниц: 1060
Формат: pdf
Размер: 73 мб
Язык: русский

Часть 1. Приведены задачи по векторной алгебре, методу координат, теории геометрических преобразований на плоскости и в пространстве, линиям и поверхностям второго порядка, многомерной аффинной и евклидовой геометриям, а также задачи на построение циркулем и линейкой.

Название: Основы теории вейвлетов. Вейвлеты в MATLAB
Автор: Смоленцев Н.К.
Издательство: Москва
Год: 2019
Cтраниц: 560
Формат: pdf (ocr)
Размер: 27 мб
Язык: русский

Данная книга состоит из двух частей: теоретической и практической. В теоретическую часть включены сведения по преобразованию Фурье, фильтрам и разложению сигналов. Достаточно подробно излагается общая теория вейвлетов, включая вейвлеты с произвольным натуральным коэффициентом масштабирования и многомерные вейвлеты с матричным коэффициентом масштабирования, гармонические вейвлеты и мультивейвлеты. Во второй, практической части книги существенно обновлена глава о возможностях Wavelet Toolbox MATLAB R2018b, которые включают теперь разложения на эмпирические моды EMD, процедуры для машинного и глубокого обучения, двумерного непрерывного вейвлет-преобразования и многие другие новые интересные процедуры.

Название: Physics for the IB Diploma, 3rd edition
Автор: John Allum, Paul Morris
Издательство: ‎Hodder Education
Год: 2023
Страниц: 636
Язык: английский
Формат: pdf (true)
Размер: 35.1 MB

Welcome to Physics for the IB Diploma Third Edition, updated and designed to meet the criteria of the new International Baccalaureate (IB) Diploma Programme Physics Guide. This coursebook provides complete coverage of the new IB Physics Diploma syllabus, with first teaching from 2023. Differentiated content for SL and HL students is clearly identified throughout. The aim of this syllabus is to integrate concepts, topic content and the nature of science through inquiry. Approaches to learning in the study of physics are integrated with the topics, along with key scientific inquiry skills.

Название: Fixed Point Theorems with Applications
Автор: Karima Mebarki, Svetlin Georgiev, Smail Djebali
Издательство: CRC Press
Год: 2023
Страниц: 438
Язык: английский
Формат: pdf (true)
Размер: 10.2 MB

As a very important part of nonlinear analysis, fixed point theory plays a key role in solvability of many complex systems from mathematics applied to chemical reactors, neutron transport, population biology, infectious diseases, economics, applied mechanics, and more. The main aim of Fixed Point Theorems with Applications is to explain new techniques for investigation of different classes of ordinary and partial differential equations. The development of the fixed point theory parallels the advances in topology and functional analysis. Recent research has investigated not only the existence but also the positivity of solutions for various types of nonlinear equations. This book will be of interest to those working in functional analysis and its applications. Combined with other nonlinear methods such as variational methods and the approximation methods, the fixed point theory is powerful in dealing with many nonlinear problems from the real world.