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

This beginning graduate textbook describes both recent achievements and classical results of computational complexity theory. Requiring essentially no background apart from mathematical maturity, the

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

Information Technology Specialist(ITS)是由Pearson VUE/Certiport推出符合產業趨勢的資訊科技認證，涵蓋IT資訊技術、資料庫、軟體研發、新興科技四大領域，透過ITS各項認證指標訓練，可驗證考生是否確實掌握業界所需與具備雇主所需的IT技能，幫助考生為未來職涯做好準備。 本書整理了ITS Computational Thinking運算思維認證考科綱要所涵蓋的資訊技術與電腦技能，考生可透過精進學習本書各章節重點內容，迅速掌握應考方向。

The link between corporate social responsibility and financial performance in Taiwan：A non-linear approachCognitive complexity, stylistic innovation and performance： A preliminary study of small taiwanese design firmsA bibliometric analysis on emerging technology research and development

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

Psychopathology: An Empathic Representational Approach retraces the foundations of classical phenomenological psychopathology and integrates them with modern ideas drawn from anthropology, cognitive neuroscience, computational science, and evolutionary biology to synthesize a comprehensive framework and provide fresh insights.This book explores how the scientific concepts of ‘information and representation’ can be used to understand subjective mental phenomena and integrate them in empathic clinical dialogues during interactions with patients. It explores key issues in clinical psychopathology coherently and systematically, illustrates advanced topics in an accessible manner using clinical case examples, metaphors and clarifying diagrams, and directly links advanced conceptual frameworks with pragmatic skills in the clinical dialogue process.This volume is aimed at a broad audience of mental health professionals, researchers, and students in psychiatry, psychology, and social work. Its

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