Computational Complexity

Computational Complexity of Counting and Sampling provides readers with comprehensive and detailed coverage of the subject of computational complexity. It is primarily geared for researchers in enumer

Computational Complexity of Counting and Sampling provides readers with comprehensive and detailed coverage of the subject of computational complexity. It is primarily geared for researchers in enumer

This volume considers the computational complexity of determining whether a system of equations over a fixed algebra A has a solution. It examines in detail the two problems this leads to: SysTermSat(

Praise for the First Edition "...complete, up-to-date coverage of computational complexity theory...the book promises to become the standard reference on computational complexity." -Zentralblatt MATH

In this volume, which was originally published in 1996, noisy information is studied in the context of computational complexity; in other words the text deals with the computational complexity of mathematical problems for which information is partial, noisy and priced. The author develops a general theory of computational complexity of continuous problems with noisy information and gives a number of applications; deterministic as well as stochastic noise is considered. He presents optimal algorithms, optimal information, and complexity bounds in different settings: worst case, average case, mixed worst-average and average-worst, and asymptotic. The book integrates the work of researchers in such areas as computational complexity, approximation theory and statistics, and includes many fresh results as well. About two hundred exercises are supplied with a view to increasing the reader's understanding of the subject. The text will be of interest to professional computer scientists, statis

Complex systems are systems that comprise many interacting parts with the ability to generate a new quality of collective behavior through self-organization, e.g. the spontaneous formation of temporal

In this volume, which was originally published in 1996, noisy information is studied in the context of computational complexity; in other words the text deals with the computational complexity of mathematical problems for which information is partial, noisy and priced. The author develops a general theory of computational complexity of continuous problems with noisy information and gives a number of applications; deterministic as well as stochastic noise is considered. He presents optimal algorithms, optimal information, and complexity bounds in different settings: worst case, average case, mixed worst-average and average-worst, and asymptotic. The book integrates the work of researchers in such areas as computational complexity, approximation theory and statistics, and includes many fresh results as well. About two hundred exercises are supplied with a view to increasing the reader's understanding of the subject. The text will be of interest to professional computer scientists, statis

The first unified introduction and reference for the field of computational complexity. Virtually non-existent only 25 years ago, computational complexity has expanded tremendously and now comprises a

Computational Complexity and Natural Language heralds an entirely new way of looking at grammatical systems. It applies the recently developed computer science tool of complexity theory to the study o

This book brings together contributions by leading researchers in computational complexity theory written in honor of Somenath Biswas on the occasion of his sixtieth birthday. They discuss current tre

The focus of this book is the P versus NP Question and the theory of NP-completeness. It also provides adequate preliminaries regarding computational problems and computational models. The P versus NP Question asks whether or not finding solutions is harder than checking the correctness of solutions. An alternative formulation asks whether or not discovering proofs is harder than verifying their correctness. It is widely believed that the answer to these equivalent formulations is positive, and this is captured by saying that P is different from NP. Although the P versus NP Question remains unresolved, the theory of NP-completeness offers evidence for the intractability of specific problems in NP by showing that they are universal for the entire class. Amazingly enough, NP-complete problems exist, and furthermore hundreds of natural computational problems arising in many different areas of mathematics and science are NP-complete.

The focus of this book is the P versus NP Question and the theory of NP-completeness. It also provides adequate preliminaries regarding computational problems and computational models. The P versus NP Question asks whether or not finding solutions is harder than checking the correctness of solutions. An alternative formulation asks whether or not discovering proofs is harder than verifying their correctness. It is widely believed that the answer to these equivalent formulations is positive, and this is captured by saying that P is different from NP. Although the P versus NP Question remains unresolved, the theory of NP-completeness offers evidence for the intractability of specific problems in NP by showing that they are universal for the entire class. Amazingly enough, NP-complete problems exist, and furthermore hundreds of natural computational problems arising in many different areas of mathematics and science are NP-complete.

The two main themes of this book, logic and complexity, are both essential for understanding the main problems about the foundations of mathematics. Logical Foundations of Mathematics and Computationa

A complete treatment of fundamentals and recent advances in complexity theory Complexity theory studies the inherent difficulties of solving algorithmic problems by digital computers. This comprehensi

Critical Acclaim for Pi and the AGM:"Fortunately we have the Borwein's beautiful book . . . explores in the first five chapters the glorious world so dear to Ramanujan . . . would be a marvelous text

Tiến loves his family and his friends…but Tiến has a secret he’s been keeping from them, and it might change everything. An amazing YA graphic novel that deals with the complexity of family and how st

Gain insight into essential data science skills in a holistic manner using data engineering and associated scalable computational methods. This book covers the most popular Python 3 frameworks for bot

This is the era of Big Data and computational social science. It is an era that requires tools which can do more than visualise data but also model the complex relation between data and huma

He needed to hear Africa speak for itself after a lifetime of hearing Africa spoken about by others Electrifying essays on the history, complexity, diversity of a continent, from the father of modern

The third edition of the book introduces the fundamentals of the finite element method through simple examples and an applications-oriented approach using the latest computational tools. Using the tra

The field of human sexuality is one of ever-increasing complexity, particularly for Christian therapists and psychologists seeking to be faithful to Scripture, informed by science and sensitive to cul

From the creators of Scratch comes ScratchJr, a programming language designed for young children (ages 5-7).The ScratchJr Book is the perfect addition to the free app and makes coding and computer science easy and fun for all ages!In The ScratchJr Book, kids learn by playing with programming blocks and building their own animated collages, interactive stories, and playable games.Thirty step-by-step activities help kids develop computational thinking, problem-solving, and design skills. Each chapter has several smaller activities that build on one other, culminating with a fun, final project. By the end of the book kids and parents will be ready for all sorts of new programming adventures.Each activity includes:step-by-step, easy-to-follow directionsliteracy and math connectiontips for grown ups and teachers creative challenges to explore and grow!

This book discusses computational complexity of High Efficiency Video Coding (HEVC) encoders with coverage extending from the analysis of HEVC compression efficiency and computational complexity to th

Shortlisted for the English 4-11 Picture Book Awards 2024'An accessible entry into discussions on the complexity of feelings, this picture book will be returned to time and time again.' – Foreword Starred ReviewAll kinds of guests check in and out of the Grand Hotel of Feelings. Some are fun and some are tricky, but all are welcome!Welcome to the Grand Hotel of Feelings, where all kinds of feelings come and stay. Every guest has unique needs. Anger, for example, is very loud and needs plenty of space to scream and shout. Sadness speaks in a small voice and occasionally floods the bathroom. Gratitude likes wandering about in nature; you never know when she might come and sit by your side.Some feelings are big and some are small, some are fun and some are tricky, but no feeling is ever turned away. At the Grand Hotel of Feelings, there is room for everyone!This is a delightfully imaginative book that is both a fun read-aloud and also a great way to engage children in conversations about

A Sydney Taylor Award WinnerA Jane Addams Children's Book Award WinnerA Judy Lopez Memorial Award WinnerA National Jewish Book Award FinalistA Junior Library Guild SelectionA 2022 ALSC Notable Children’s BookAn Amazon Best Book of the MonthA Kirkus Reviews Best Book of 2021A New-York Historical Society's Children’s History Book Prize WinnerAn Amazon Best Children’s Book of 2021PRAISE FOR HOW TO FIND WHAT YOU'RE NOT LOOKING FORby Veera Hiranandani*"A splendid historical fiction tale of bravery and determination." —School Library Journal, starred review.*"A powerful blend of important themes and everyday triumphs and sorrows." —Kirkus, starred review. "In this moving novel about a turbulent time, Ari and her family discover that what is most important is not what you think you want." —Booklist*"...explores the benefits and costs of assimilation and the complexity of being both white and a religious minority in America then—and now." —Publisher's Weekly, starred review."What’s most striki

本書透過詩意語言與溫潤圖像，刻畫孩子身上的多樣性與未竟的潛能——靜靜傾聽的孩子或許是未來的領袖，熱愛奔跑的少年也可能成為療癒人心的作家。一本適合各年齡閱讀的成長之書。From a Newbery Medal-winning author and a New York Times bestselling illustrator comes a deeply moving ode to the complexity and uniqueness of every child.In profound, uplifting verse and sumptuous artwork, beloved creators Matt de la Peña and Corinna Luyken explore the endless possibilities each child contains: A young dancer may grow into a computer coder; a basketball player might become a poet; a class clown may one day serve as an inspiring teacher; and today’s quiet empath might be tomorrow’s great leader. Here's a profound and uplifting new classic with an empowering message for readers of all ages: Your story is still being written.

一舉打入布克獎決選，斯特勞特再次藉主角露西巴頓，刻畫生命裡的幽微孤寂與失落。NEW YORK TIMES BESTSELLER - Pulitzer Prize winner Elizabeth Strout explores the mysteries of marriage and the secrets we keep, as a former couple reckons with where they've come from--and what they've left behind. ONE OF THE TEN BEST BOOKS OF THE YEAR: Maureen Corrigan, NPR's Fresh Air - ONE OF THE BEST BOOKS OF THE YEAR: The New York Times Book Review, The Washington Post, Time, Vulture, She Reads "Elizabeth Strout is one of my very favorite writers, so the fact that Oh William! may well be my favorite of her books is a mathematical equation for joy. The depth, complexity, and love contained in these pages is a miraculous achievement."--Ann Patchett, author of The Dutch House I would like to say a few things about my first husband, William. Lucy Barton is a writer, but her ex-husband, William, remains a hard man to read. William, she confesses, has always been a mystery to me. Another mystery is why the two have remained connected after all these

Give your preschooler a strong computer science foundation with Smart Start: Beginning Coding Stories and Activities. Children will learn important coding concepts with engaging stories and practice activities. Based on the K-12 Computer Science Framework, this dynamic early learning series helps children understand coding concepts to develop a strong foundation in computer science, including computational thinking, problem solving, and critical thinking. Each full-color activity book is organized into eight themed units around one coding concept and includes: - Coding stories that demonstrate what coders do and include an audio read-aloud feature - Concept pages that connect coding concepts to real-world situations - Practice activities that reinforce important coding rules - Review pages for every coding concept practiced - Coding projects with print-based games and puzzles - Mini coding handbook with key terms Computer science concepts and skills help early learners become critical

Give your kindergartner a strong computer science foundation with Smart Start: Beginning Coding Stories and Activities. Children will learn important coding concepts with engaging stories and practice activities. Based on the K-12 Computer Science Framework, this dynamic early learning series helps children understand coding concepts to develop a strong foundation in computer science, including computational thinking, problem solving, and critical thinking. Each full-color activity book is organized into eight themed units around one coding concept and includes: - Coding stories that demonstrate what coders do and include an audio read-aloud feature - Concept pages that connect coding concepts to real-world situations - Practice activities that reinforce important coding rules - Review pages for every coding concept practiced - Coding projects with print-based games and puzzles - Mini coding handbook with key terms Computer science concepts and skills help early learners become critica