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Loewy Decomposition of Linear Differential Equations

Posted By: AvaxGenius
Loewy Decomposition of Linear Differential Equations

Loewy Decomposition of Linear Differential Equations by Fritz Schwarz
English | PDF | 2012 | 238 Pages | ISBN : 3709112850 | 2.1 MB

The central subject of the book is the generalization of Loewy's decomposition - originally introduced by him for linear ordinary differential equations - to linear partial differential equations. Equations for a single function in two independent variables of order two or three are comprehensively discussed. A complete list of possible solution types is given. Various ad hoc results available in the literature are obtained algorithmically. The border of decidability for generating a Loewy decomposition are explicitly stated. The methods applied may be generalized in an obvious way to equations of higher order, in more variables or systems of such equations.

Mathematics and its Applications in New Computer Systems: MANCS-2021

Posted By: AvaxGenius
Mathematics and its Applications in New Computer Systems: MANCS-2021

Mathematics and its Applications in New Computer Systems: MANCS-2021 by Andrei Tchernykh
English | PDF,EPUB | 2022 | 571 Pages | ISBN : 3030970191 | 71.3 MB

This book is based on the best papers accepted for presentation during the International Conference on Mathematics and its Applications in New Computer Systems (MANCS-2021), Russia.
The book includes research materials on modern mathematical problems, solutions in the field of cryptography, data analysis and modular computing, as well as scientific computing. The scope of numerical methods in scientific computing presents original research, including mathematical models and software implementations, related to the following topics: numerical methods in scientific computing; solving optimization problems; methods for approximating functions, etc.

Handbook of Floating-Point Arithmetic

Posted By: AvaxGenius
Handbook of Floating-Point Arithmetic

Handbook of Floating-Point Arithmetic by Jean-Michel Muller
English | PDF(True) | 2010 | 579 Pages | ISBN : 081764704X | 6.7 MB

Floating-point arithmetic is by far the most widely used way of implementing real-number arithmetic on modern computers. Although the basic principles of floating-point arithmetic can be explained in a short amount of time, making such an arithmetic reliable and portable, yet fast, is a very difficult task. From the 1960s to the early 1980s, many different arithmetics were developed, but their implementation varied widely from one machine to another, making it difficult for nonexperts to design, learn, and use the required algorithms. As a result, floating-point arithmetic is far from being exploited to its full potential.

Recent Developments in Real and Harmonic Analysis: In Honor of Carlos Segovia (Repost)

Posted By: AvaxGenius
Recent Developments in Real and Harmonic Analysis: In Honor of Carlos Segovia (Repost)

Recent Developments in Real and Harmonic Analysis: In Honor of Carlos Segovia by Carlos Cabrelli
English | PDF | 2010 | 213 Pages | ISBN : 0817645314 | 2.1 MB

A collection of invited chapters dedicated to Carlos Segovia, this unified and self-contained volume examines recent developments in real and harmonic analysis. The work begins with a chronological description of Segovia’s mathematical life, his original ideas and their evolution, which may be a source of inspiration for many mathematicians working in the fields of harmonic analysis, functional analysis, and partial differential equations.

Optimal Models and Methods with Fuzzy Quantities (Repost)

Posted By: AvaxGenius
Optimal Models and Methods with Fuzzy Quantities (Repost)

Optimal Models and Methods with Fuzzy Quantities by Bing-Yuan Cao
English | PDF | 2010 | 383 Pages | ISBN : 3642107109 | 4.3 MB

The book contains ten chapters as follows, Prepare Knowledge, Regression and Self-regression Models with Fuzzy Coefficients; Regression and Self-regression Models with Fuzzy Variables, Fuzzy Input/output Model, Fuzzy Cluster Analysis and Fuzzy Recognition, Fuzzy Linear Programming, Fuzzy Geometric Programming, Fuzzy Relative Equation and Its Optimizing, Interval and Fuzzy Differential Equations and Interval and Fuzzy Functional and Their Variation.

Soft Computing in XML Data Management (Repost)

Posted By: AvaxGenius
Soft Computing in XML Data Management (Repost)

Soft Computing in XML Data Management: Intelligent Systems from Decision Making to Data Mining, Web Intelligence and Computer Vision by Zongmin Ma
English | PDF | 2010 | 353 Pages | ISBN : 3642140092 | 6.6 MB

This book covers in a great depth the fast growing topic of techniques, tools and applications of soft computing in XML data management. It is shown how XML data management (like model, query, integration) can be covered with a soft computing focus. This book aims to provide a single account of current studies in soft computing approaches to XML data management. The objective of the book is to provide the state of the art information to researchers, practitioners, and graduate students of the Web intelligence, and at the same time serving the information technology professional faced with non-traditional applications that make the application of conventional approaches difficult or impossible.

Brain-Inspired Information Technology (Repost)

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Brain-Inspired Information Technology (Repost)

Brain-Inspired Information Technology by Akitoshi Hanazawa
English | PDF | 2010 | 176 Pages | ISBN : 3642040241 | 6 MB

"Brain-inspired information technology" is one of key concepts for the development of information technology in the next generation. Explosive progress of computer technology has been continuing based on a simple principle called "if-then rule". This means that the programmer of software have to direct every action of the computer programs in response to various inputs. There inherently is a limitation of complexity because we human have a limited capacity for managing complex systems.