Problems in Real and Complex Analysis

Problems in Real and Complex Analysis
Author: Bernard R. Gelbaum
Publisher: Springer Science & Business Media
Total Pages: 490
Release: 2012-12-06
Genre: Mathematics
ISBN: 1461209250

This text covers many principal topics in the theory of functions of a complex variable. These include, in real analysis, set algebra, measure and topology, real- and complex-valued functions, and topological vector spaces. In complex analysis, they include polynomials and power series, functions holomorphic in a region, entire functions, analytic continuation, singularities, harmonic functions, families of functions, and convexity theorems.

Programming Scala

Programming Scala
Author: Dean Wampler
Publisher: "O'Reilly Media, Inc."
Total Pages: 556
Release: 2021-05-26
Genre: Computers
ISBN: 1492077860

Get up to speed on Scala--the JVM, JavaScript, and natively compiled language that offers all the benefits of functional programming, a modern object model, and an advanced type system. Packed with code examples, this comprehensive book shows you how to be productive with the language and ecosystem right away. You'll learn why Scala is ideal for building today's highly scalable, data-centric applications while maximizing developer productivity. While Java remains popular and Kotlin has become popular, Scala hasn't been sitting still. This third edition covers the new features in Scala 3 with updates throughout the book. Programming Scala is ideal for beginning to advanced developers who want a complete understanding of Scala's design philosophy and features with a thoroughly practical focus. Program faster with Scala's succinct and flexible syntax Dive into basic and advanced functional programming techniques Build killer big data and distributed apps using Scala's functional combinators and tools like Spark and Akka Create concise solutions to challenging design problems with the sophisticated type system, mixin composition with traits, pattern matching, and more

Arithmetic of Finite Fields

Arithmetic of Finite Fields
Author: Sihem Mesnager
Publisher: Springer Nature
Total Pages: 353
Release: 2023-01-10
Genre: Computers
ISBN: 3031229444

This book constitutes the thoroughly refereed post-workshop proceedings of the 8th International Workshop on the Arithmetic of Finite Field, WAIFI 2022, held in Chengdu, China, in August – September 2022. The 19 revised full papers and 3 invited talks presented were carefully reviewed and selected from 25 submissions. The papers are organized in topical sections: structures in finite fields; efficient finite field arithmetic; coding theory; cryptography; sequences.

Rough Sets

Rough Sets
Author: Sheela Ramanna
Publisher: Springer Nature
Total Pages: 320
Release: 2021-09-17
Genre: Computers
ISBN: 303087334X

The volume LNAI 12872 constitutes the proceedings of the International Joint Conference on Rough Sets, IJCRS 2021, Bratislava, Slovak Republic, in September 2021. The conference was held as a hybrid event due to the COVID-19 pandemic. The 13 full paper and 7 short papers presented were carefully reviewed and selected from 26 submissions, along with 5 invited papers. The papers are grouped in the following topical sections: core rough set models and methods, related methods and hybridization, and areas of applications.

Mathematics for Econometrics

Mathematics for Econometrics
Author: Phoebus J. Dhrymes
Publisher: Springer Science & Business Media
Total Pages: 252
Release: 2013-06-29
Genre: Business & Economics
ISBN: 1475732384

This book aims to fill the gaps in the typical student's mathematical training to the extent relevant for the study of econometrics. In most cases, proofs are provided and there is a verbal discussion of certain mathematical results.

New Frontiers in Artificial Intelligence

New Frontiers in Artificial Intelligence
Author: Hiromitsu Hattori
Publisher: Springer Science & Business Media
Total Pages: 334
Release: 2009-03-26
Genre: Computers
ISBN: 3642006086

Arti?cial intelligence has recently been re-energized to provide the clues needed to resolve complicated problems. AI is also expected to play a central role in enhancing a wide variety of daily activities. JSAI (The Japanese Society for Arti?cial Intelligence) is responsible for boosting the activities of AI researchers in Japan, and their series of annual conferences o?ers attractive forums for the exposition of the latest achievements and inter-group communication. In the past, the best papers of the conferences were published in the LNAI series. This book consists of award papers from the 22nd annual conference of the JSAI (JSAI 2008) and selected papers from the three co-located workshops. Eight papers were selected among more than 400 presentations at the conference and 18 papers were selected from the 34 presentations at the co-located wo- shops; Logic and Engineering of Natural Language Semantics 5 (LENLS 2008), the 2nd International Workshop on Juris-informatics (JURISIN 2008), and the First International Workshop on Laughter in Interaction and Body Movement (LIBM 2008). The award papers from JSAI 2008 were selected through a r- orous selection process. In the process, papers recommended by session chairs, session commentators, and PC members were carefully reviewed, before the ?nal decision was made.

Rough Sets and Current Trends in Computing

Rough Sets and Current Trends in Computing
Author: Shusaku Tsumoto
Publisher: Springer
Total Pages: 871
Release: 2004-06-16
Genre: Computers
ISBN: 3540259295

In recent years rough set theory has attracted the attention of many researchers and practitioners all over the world, who have contributed essentially to its development and applications. Weareobservingagrowingresearchinterestinthefoundationsofroughsets, including the various logical, mathematical and philosophical aspects of rough sets. Some relationships have already been established between rough sets and other approaches, and also with a wide range of hybrid systems. As a result, rough sets are linked with decision system modeling and analysis of complex systems, fuzzy sets, neural networks, evolutionary computing, data mining and knowledge discovery, pattern recognition, machine learning, and approximate reasoning. In particular, rough sets are used in probabilistic reasoning, granular computing (including information granule calculi based on rough mereology), intelligent control, intelligent agent modeling, identi?cation of autonomous s- tems, and process speci?cation. Methods based on rough set theory alone or in combination with other - proacheshavebeendiscoveredwith awide rangeofapplicationsinsuchareasas: acoustics, bioinformatics, business and ?nance, chemistry, computer engineering (e.g., data compression, digital image processing, digital signal processing, p- allel and distributed computer systems, sensor fusion, fractal engineering), de- sion analysis and systems, economics, electrical engineering (e.g., control, signal analysis, power systems), environmental studies, informatics, medicine, mole- lar biology, musicology, neurology, robotics, social science, software engineering, spatial visualization, Web engineering, and Web mining.

Semirings for Soft Constraint Solving and Programming

Semirings for Soft Constraint Solving and Programming
Author: Stefano Bistarelli
Publisher: Springer Science & Business Media
Total Pages: 292
Release: 2004-02-24
Genre: Mathematics
ISBN: 3540211810

Constraint satisfaction and constraint programming have shown to be very simple but powerful ideas, with applications in various areas. Still, in the last ten years, the simple notion of constraints has shown some deficiencies concerning both theory and practice, typically in the way over-constrained problems and preferences are treated. For this reason, the notion of soft constraints has been introduced with semiring-based soft constraints and valued constraints being the two main general frameworks. This book includes formal definitions and properties of semiring-based soft constraints, as well as their use within constraint logic programming and concurrent constraint programming. Moreover, the author shows how to adapt existing notions and techniques such as abstraction and interchangeability to the soft constraint framework and it is demonstrated how soft constraints can be used in some application areas, such as security. Overall, this book is a great starting point for anyone interested in understanding the basics of semiring-based soft constraints.