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Studies in Complexity and Cryptography: Miscellanea on the Interplay between Randomness and Computation
Studies in Complexity and Cryptography: Miscellanea on the Interplay between Randomness and Computation

This volume contains a collection of studies in the areas of complexity theory and foundations of cryptography. These studies were conducted at different times during the last couple of decades. Although many of these studies have been referred to by other works, none of them was formally published before.

Indeed, this volume...

Computational Methods for Modeling of Nonlinear Systems, Volume 79 (Mathematics in Science and Engineering)
Computational Methods for Modeling of Nonlinear Systems, Volume 79 (Mathematics in Science and Engineering)

In this book, we study theoretical and practical aspects of computing methods for mathematical modelling of nonlinear systems.

A number of computing techniques are considered, such as

methods of operator approximation with any given accuracy;

operator interpolation techniques including a non-Lagrange...

Artificial Organic Networks: Artificial Intelligence Based on Carbon Networks
Artificial Organic Networks: Artificial Intelligence Based on Carbon Networks

This monograph describes the synthesis and use of biologically-inspired artificial hydrocarbon networks (AHNs) for approximation models associated with machine learning and a novel computational algorithm with which to exploit them. The reader is first introduced to various kinds of algorithms designed to deal with approximation problems and...

Design Automation Techniques for Approximation Circuits: Verification, Synthesis and Test
Design Automation Techniques for Approximation Circuits: Verification, Synthesis and Test

This book describes reliable and efficient design automation techniques for the design and implementation of an approximate computing system. The authors address the important facets of approximate computing hardware design - from formal verification and error guarantees to synthesis and test of approximation systems. They provide...

Basic Classes of Linear Operators
Basic Classes of Linear Operators
"With a name like Gohberg–Goldberg–Kaashoek, it has got to be good. But let me count the ways. If you are interested in learning the basic theories of Hilbert and Banach spaces together with the well-known operators that act on them, this book is for you. It is intended for advanced undergraduate and beginning graduate students in...
Mixed Finite Element Methods and Applications (Springer Series in Computational Mathematics)
Mixed Finite Element Methods and Applications (Springer Series in Computational Mathematics)

Non-standard finite element methods, in particular mixed methods, are central to many applications. In this text the authors, Boffi, Brezzi and Fortin present a general framework, starting with a finite dimensional presentation, then moving on to formulation in Hilbert spaces and finally considering approximations, including stabilized...

Numerical Methods for Image Registration (Numerical Mathematics and Scientific Computation)
Numerical Methods for Image Registration (Numerical Mathematics and Scientific Computation)

Based on the author's lecture notes and research, this well-illustrated and comprehensive text is one of the first to provide an introduction to image registration with particular emphasis on numerical methods in medical imaging. Ideal for researchers in industry and academia, it is also a suitable study guide for graduate mathematicians,...

Nomic Truth Approximation Revisited (Synthese Library)
Nomic Truth Approximation Revisited (Synthese Library)

This monograph presents new ideas in nomic truth approximation. It features original and revised papers from a (formal) philosopher of science who has studied the concept for more than 35 years.

Over the course of time, the author's initial ideas evolved. He discovered a way to generalize his first theory of nomic...

Analysis of Numerical Methods
Analysis of Numerical Methods
Excellent advanced-undergraduate and graduate text covers norms, numerical solution of linear systems and matrix factoring, iterative solutions of nonlinear equations, eigenvalues and eigenvectors, polynomial approximation and more. Careful analysis and stress on techniques for developing new methods. Features examples and problems. 1966 edition....
Approximation Methods for Polynomial Optimization: Models, Algorithms, and Applications (SpringerBriefs in Optimization)
Approximation Methods for Polynomial Optimization: Models, Algorithms, and Applications (SpringerBriefs in Optimization)
Polynomial optimization, as its name suggests, is used to optimize a generic multivariate polynomial function, subject to some suitable polynomial equality and/or inequality constraints. Such problem formulation dates back to the nineteenth century when the relationship between nonnegative polynomials and sum of squares (SOS) was...
Algorithms: Design and Analysis (De Gruyter Textbook)
Algorithms: Design and Analysis (De Gruyter Textbook)

Algorithms play a central role both in the theory and in the practice of computing. The goal of the authors was to write a textbook that would not trivialize the subject but would still be readable by most students on their own. The book contains over 120 exercises. Some of them are drills; others make important points about the...

Theoretical Aspects of Computer Science: Advanced Lectures (Lecture Notes in Computer Science)
Theoretical Aspects of Computer Science: Advanced Lectures (Lecture Notes in Computer Science)
The First Summer School on Theoretical Aspects on Computer Science was held at the Institute for Studies in Theoretical Physics and Mathematics (IPM) from July 3-10, 2000.

The idea of organizing a summer school was originated during a conversation between the first and the second editor of this volume in the winter
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