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Computational Functional Analysis

Computational Functional Analysis
A Book

by Ramon E. Moore

  • Publisher : Unknown Publisher
  • Release : 1985
  • Pages : 156
  • ISBN : 9780853128144
  • Language : En, Es, Fr & De
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Anthony Cohen makes a distinct break with earlier approaches to the study of community, which treated the subject in largely structural terms. His view is interpretive and experiential, seeing the community as a cultural field with a complex of symbols whose meanings vary among its members. He delineates a concept applicable to local and ethnic communities through which people see themselves as belonging to society. The emphasis on boundary is sensitive to the circumstances in which people become aware of the implications of belonging to a community, and describes how they symbolise and utilise these boundaries to give substance to their values and identities.

An Introduction to Functional Analysis in Computational Mathematics

An Introduction to Functional Analysis in Computational Mathematics
An Introduction

by V.I. Lebedev

  • Publisher : Springer Science & Business Media
  • Release : 2012-12-06
  • Pages : 256
  • ISBN : 1461241286
  • Language : En, Es, Fr & De
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The book contains the methods and bases of functional analysis that are directly adjacent to the problems of numerical mathematics and its applications; they are what one needs for the understand ing from a general viewpoint of ideas and methods of computational mathematics and of optimization problems for numerical algorithms. Functional analysis in mathematics is now just the small visible part of the iceberg. Its relief and summit were formed under the influence of this author's personal experience and tastes. This edition in English contains some additions and changes as compared to the second edition in Russian; discovered errors and misprints had been corrected again here; to the author's distress, they jump incomprehensibly from one edition to another as fleas. The list of literature is far from being complete; just a number of textbooks and monographs published in Russian have been included. The author is grateful to S. Gerasimova for her help and patience in the complex process of typing the mathematical manuscript while the author corrected, rearranged, supplemented, simplified, general ized, and improved as it seemed to him the book's contents. The author thanks G. Kontarev for the difficult job of translation and V. Klyachin for the excellent figures.

Computational Functional Analysis

Computational Functional Analysis
A Book

by Ramon E Moore,Michael J Cloud

  • Publisher : Elsevier
  • Release : 2007-06-01
  • Pages : 212
  • ISBN : 0857099434
  • Language : En, Es, Fr & De
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This course text fills a gap for first-year graduate-level students reading applied functional analysis or advanced engineering analysis and modern control theory. Containing 100 problem-exercises, answers, and tutorial hints, the first edition is often cited as a standard reference. Making a unique contribution to numerical analysis for operator equations, it introduces interval analysis into the mainstream of computational functional analysis, and discusses the elegant techniques for reproducing Kernel Hilbert spaces. There is discussion of a successful ‘‘hybrid’’ method for difficult real-life problems, with a balance between coverage of linear and non-linear operator equations. The authors successful teaching philosophy: ‘‘We learn by doing’’ is reflected throughout the book. Contains 100 problem-exercises, answers and tutorial hints for students reading applied functional analysis Introduces interval analysis into the mainstream of computational functional analysis

Computational Functional Analysis

Computational Functional Analysis
A Book

by Ramon E Moore,Michael J Cloud

  • Publisher : Elsevier
  • Release : 2007-06-01
  • Pages : 212
  • ISBN : 0857099434
  • Language : En, Es, Fr & De
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This course text fills a gap for first-year graduate-level students reading applied functional analysis or advanced engineering analysis and modern control theory. Containing 100 problem-exercises, answers, and tutorial hints, the first edition is often cited as a standard reference. Making a unique contribution to numerical analysis for operator equations, it introduces interval analysis into the mainstream of computational functional analysis, and discusses the elegant techniques for reproducing Kernel Hilbert spaces. There is discussion of a successful ‘‘hybrid’’ method for difficult real-life problems, with a balance between coverage of linear and non-linear operator equations. The authors successful teaching philosophy: ‘‘We learn by doing’’ is reflected throughout the book. Contains 100 problem-exercises, answers and tutorial hints for students reading applied functional analysis Introduces interval analysis into the mainstream of computational functional analysis

Applied Functional Analysis, Second Edition

Applied Functional Analysis, Second Edition
A Book

by J. Tinsley Oden,Leszek Demkowicz

  • Publisher : CRC Press
  • Release : 2010-03-02
  • Pages : 596
  • ISBN : 1420091956
  • Language : En, Es, Fr & De
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Through numerous illustrative examples and comments, Applied Functional Analysis, Second Edition demonstrates the rigor of logic and systematic, mathematical thinking. It presents the mathematical foundations that lead to classical results in functional analysis. More specifically, the text prepares students to learn the variational theory of partial differential equations, distributions and Sobolev spaces, and numerical analysis with an emphasis on finite element methods. While retaining the structure of its best-selling predecessor, this second edition includes revisions of many original examples, along with new examples that often reflect the authors’ own vast research experiences and perspectives. This edition also provides many more exercises as well as a solutions manual for qualifying instructors. Each chapter begins with an extensive introduction and concludes with a summary and historical comments that frequently refer to other sources. New to the Second Edition Completely revised section on lim sup and lim inf New discussions of connected sets, probability, Bayesian statistical inference, and the generalized (integral) Minkowski inequality New sections on elements of multilinear algebra and determinants, the singular value decomposition theorem, the Cauchy principal value, and Hadamard finite part integrals New example of a Lebesgue non-measurable set Ideal for a two-semester course, this proven textbook teaches students how to prove theorems and prepares them for further study of more advanced mathematical topics. It helps them succeed in formulating research questions in a mathematically rigorous way.

Computational Functional Analysis

Computational Functional Analysis
A Book

by Ramon E. Moore

  • Publisher : Unknown Publisher
  • Release : 1985
  • Pages : 156
  • ISBN : 9780853128076
  • Language : En, Es, Fr & De
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A Friendly Approach to Functional Analysis

A Friendly Approach to Functional Analysis
A Book

by Amol Sasane

  • Publisher : World Scientific Publishing Company
  • Release : 2017-02-20
  • Pages : 396
  • ISBN : 1786343363
  • Language : En, Es, Fr & De
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This book constitutes a concise introductory course on Functional Analysis for students who have studied calculus and linear algebra. The topics covered are Banach spaces, continuous linear transformations, Frechet derivative, geometry of Hilbert spaces, compact operators, and distributions. In addition, the book includes selected applications of functional analysis to differential equations, optimization, physics (classical and quantum mechanics), and numerical analysis. The book contains 197 problems, meant to reinforce the fundamental concepts. The inclusion of detailed solutions to all the exercises makes the book ideal also for self-study. A Friendly Approach to Functional Analysis is written specifically for undergraduate students of pure mathematics and engineering, and those studying joint programmes with mathematics. Request Inspection Copy

Theoretical Chemistry for Advanced Nanomaterials

Theoretical Chemistry for Advanced Nanomaterials
Functional Analysis by Computation and Experiment

by Taku Onishi

  • Publisher : Springer
  • Release : 2020-03-04
  • Pages : 544
  • ISBN : 9789811500053
  • Language : En, Es, Fr & De
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This book collects recent topics of theoretical chemistry for advanced nanomaterials from the points of view of both computational and experimental chemistry. It is written for computational and experimental chemists, including undergraduate students, who are working with advanced nanomaterials, where collaboration and interplay between computation and experiment are essential. After the general introduction of nanomaterials, several computational approaches are explained in Part II. Each chapter presents not only calculation methods but also concrete calculation results for advanced nanomaterials. Hydride ion conducting nanomaterials, high-k dielectric nanomaterials, and organic electronics are focused on. In Part III, the interplay between computational and experimental approaches is explained. The chapters show calculation results, combined with corresponding experimental data. Dimensionality of nanomaterials, electronic structure of oligomers and nanorods, carbon nanomaterials, and the electronic structure of a nanosized sandwich cluster is looked at carefully. In Part IV, functionality analysis is explained from the point of view of the experimental approach. The emphasis is on the mechanism of photoluminescence and hydrogen generation using silicon nanopowder, the superionic conducting mechanism of glass ceramics, nanoclusters formation on the surface of metal oxides, and the magnetic property of an organic one-dimensional nanochannel. Finally, forthcoming theoretical methods for excited states and quantum dynamics are introduced in Part V.

Applied Functional Analysis

Applied Functional Analysis
A Book

by J. Tinsley Oden,Leszek Demkowicz

  • Publisher : CRC Press
  • Release : 2017-12-01
  • Pages : 610
  • ISBN : 149876116X
  • Language : En, Es, Fr & De
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Applied Functional Analysis, Third Edition provides a solid mathematical foundation for the subject. It motivates students to study functional analysis by providing many contemporary applications and examples drawn from mechanics and science. This well-received textbook starts with a thorough introduction to modern mathematics before continuing with detailed coverage of linear algebra, Lebesque measure and integration theory, plus topology with metric spaces. The final two chapters provides readers with an in-depth look at the theory of Banach and Hilbert spaces before concluding with a brief introduction to Spectral Theory. The Third Edition is more accessible and promotes interest and motivation among students to prepare them for studying the mathematical aspects of numerical analysis and the mathematical theory of finite elements.

Elementary Functional Analysis

Elementary Functional Analysis
A Book

by Charles Swartz

  • Publisher : World Scientific Publishing Company Incorporated
  • Release : 2009
  • Pages : 181
  • ISBN : 9876543210XXX
  • Language : En, Es, Fr & De
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This text is an introduction to functional analysis which requires readers to have a minimal background in linear algebra and real analysis at the first-year graduate level. Prerequisite knowledge of general topology or Lebesgue integration is not required. The book explains the principles and applications of functional analysis and explores the development of the basic properties of normed linear, inner product spaces and continuous linear operators defined in these spaces. Though Lebesgue integral is not discussed, the book offers an in-depth knowledge on the numerous applications of the abstract results of functional analysis in differential and integral equations, Banach limits, harmonic analysis, summability and numerical integration. Also covered in the book are versions of the spectral theorem for compact, symmetric operators and continuous, self adjoint operators.

Computational and Functional Analysis of Growth Hormone-Regulated Genes

Computational and Functional Analysis of Growth Hormone-Regulated Genes
A Book

by Jeffrey Sean Huo

  • Publisher : Unknown Publisher
  • Release : 2005
  • Pages : 329
  • ISBN : 9876543210XXX
  • Language : En, Es, Fr & De
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Neurocognitive Mechanisms

Neurocognitive Mechanisms
Explaining Biological Cognition

by Gualtiero Piccinini

  • Publisher : Oxford University Press, USA
  • Release : 2020-10-08
  • Pages : 416
  • ISBN : 0198866283
  • Language : En, Es, Fr & De
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Gualtiero Piccinini presents a systematic and rigorous philosophical defence of the computational theory of cognition. His view posits that cognition involves neural computation within multilevel neurocognitive mechanisms, and includes novel ideas about ontology, functions, neural representation, neural computation, and consciousness.

Computational and Analytical Mathematics

Computational and Analytical Mathematics
In Honor of Jonathan Borwein's 60th Birthday

by David H. Bailey,Heinz H. Bauschke,Peter Borwein,Frank Garvan,Michel Théra,Jon D. Vanderwerff,Henry Wolkowicz

  • Publisher : Springer Science & Business Media
  • Release : 2013-09-15
  • Pages : 701
  • ISBN : 1461476216
  • Language : En, Es, Fr & De
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The research of Jonathan Borwein has had a profound impact on optimization, functional analysis, operations research, mathematical programming, number theory, and experimental mathematics. Having authored more than a dozen books and more than 300 publications, Jonathan Borwein is one of the most productive Canadian mathematicians ever. His research spans pure, applied, and computational mathematics as well as high performance computing, and continues to have an enormous impact: MathSciNet lists more than 2500 citations by more than 1250 authors, and Borwein is one of the 250 most cited mathematicians of the period 1980-1999. He has served the Canadian Mathematics Community through his presidency (2000–02) as well as his 15 years of editing the CMS book series. Jonathan Borwein’s vision and initiative have been crucial in initiating and developing several institutions that provide support for researchers with a wide range of scientific interests. A few notable examples include the Centre for Experimental and Constructive Mathematics and the IRMACS Centre at Simon Fraser University, the Dalhousie Distributed Research Institute at Dalhousie University, the Western Canada Research Grid, and the Centre for Computer Assisted Research Mathematics and its Applications, University of Newcastle. The workshops that were held over the years in Dr. Borwein’s honor attracted high-caliber scientists from a wide range of mathematical fields. This present volume is an outgrowth of the workshop on ‘Computational and Analytical Mathematics’ held in May 2011 in celebration of Dr. Borwein’s 60th Birthday. The collection contains various state-of-the-art research manuscripts and surveys presenting contributions that have risen from the conference, and is an excellent opportunity to survey state-of-the-art research and discuss promising research directions and approaches.

Physical Computation

Physical Computation
A Mechanistic Account

by Gualtiero Piccinini

  • Publisher : OUP Oxford
  • Release : 2015-07-02
  • Pages : 336
  • ISBN : 0191633429
  • Language : En, Es, Fr & De
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Gualtiero Piccinini articulates and defends a mechanistic account of concrete, or physical, computation. A physical system is a computing system just in case it is a mechanism one of whose functions is to manipulate vehicles based solely on differences between different portions of the vehicles according to a rule defined over the vehicles. The Nature of Computation discusses previous accounts of computation and argues that the mechanistic account is better. Many kinds of computation are explicated, such as digital vs. analog, serial vs. parallel, neural network computation, program-controlled computation, and more. Piccinini argues that computation does not entail representation or information processing although information processing entails computation. Pancomputationalism, according to which every physical system is computational, is rejected. A modest version of the physical Church-Turing thesis, according to which any function that is physically computable is computable by Turing machines, is defended.

Novel Computational Methods for Improving Functional Analysis for Long Noisy Reads

Novel Computational Methods for Improving Functional Analysis for Long Noisy Reads
A Book

by Nan Du

  • Publisher : Unknown Publisher
  • Release : 2019
  • Pages : 147
  • ISBN : 9781392886977
  • Language : En, Es, Fr & De
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Single-molecule, real-time sequencing (SMRT) developed by Pacific Biosciences (PacBio) and Nanopore sequencing developed by Oxford Nanopore Technologies (Nanopore) produce longer reads than second-generation sequencing technologies such as Illumina. The increased read length enables PacBio sequencing to close gaps in genome assembly, reveal structural variations, and characterize the intra-species variations. It also holds the promise to decipher the community structure in complex microbial communities because long reads help metagenomic assembly. However, compared with data produced by popular short read sequencing technologies (such as Illumina), PacBio and Nanopore data have a higher sequencing error rate and lower coverage. Therefore, new algorithms are needed to take full advantage of third-generation sequencing technologies. For example, during an alignment-based homology search, insertion or deletion errors in genes will cause frameshifts, which may lead to marginal alignment scores and short alignments. In this case, it is hard to distinguish correct alignments from random alignments, and the ambiguity will incur errors in the structural and functional annotation. Existing frameshift correction tools are designed for data with a much lower error rate, and they are not optimized for PacBio data. As an increasing number of groups are using SMRT, there is an urgent need for dedicated homology search tools for PacBio and Nanopore data. Another example is overlap detection. For both PacBio reads and Nanopore reads, there is still a need to improve the sensitivity of detecting small overlaps or overlaps with high error rates. Addressing this need will enable better assembly for metagenomic data produced by the third-generation sequencing technologies.In this article, we are going to discuss the possible method for homology search and overlap detection for the third-generation sequencing. For overlap detection, we designed and implemented an overlap detection program named GroupK. GroupK takes a group of short kmer hits, which satisfy statistically derived distance constraints to increase the sensitivity of small overlap detection. For the homology search, we designed and implemented a profile homology search tool named Frame-Pro based on the profile hidden Markov model (pHMM) and consensus sequences finding method. However, Frame-pro is still relying on multiple sequence alignment. So we implemented DeepFrame, a deep learning model that predicts the corresponding protein function for third-generation sequencing reads. In the experiment on simulated reads of protein-coding sequences and real reads from the human genome, our model outperforms pHMM-based methods and the deep learning based method. Our model can also reject unrelated DNA reads and achieves higher recall with the precision comparable to the state-of-the-art method.

Computational Methods and Function Theory

Computational Methods and Function Theory
Proceedings of a Conference held in Valparaiso, Chile, March 13-18, 1989

by Stephan Ruscheweyh,Edward B. Saff,Luis C. Salinas,Richard S Varga

  • Publisher : Springer
  • Release : 2006-11-22
  • Pages : 220
  • ISBN : 3540471391
  • Language : En, Es, Fr & De
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The volume is devoted to the interaction of modern scientific computation and classical function theory. Many problems in pure and more applied function theory can be tackled using modern computing facilities: numerically as well as in the sense of computer algebra. On the other hand, computer algorithms are often based on complex function theory, and dedicated research on their theoretical foundations can lead to great enhancements in performance. The contributions - original research articles, a survey and a collection of problems - cover a broad range of such problems.

Asymptotic and Computational Analysis

Asymptotic and Computational Analysis
Conference in Honor of Frank W.j. Olver's 65th Birthday

by R. Wong

  • Publisher : CRC Press
  • Release : 2020-12-18
  • Pages : 329
  • ISBN : 1000154130
  • Language : En, Es, Fr & De
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Papers presented at the International Symposium on Asymptotic and Computational Analysis, held June 1989, Winnipeg, Man., sponsored by the Dept. of Applied Mathematics, University of Manitoba and the Canadian Applied Mathematics Society.

Computational Genome Analysis

Computational Genome Analysis
An Introduction

by Richard C. Deonier,Simon Tavaré,Michael Waterman

  • Publisher : Springer Science & Business Media
  • Release : 2007-08-13
  • Pages : 535
  • ISBN : 9780387987859
  • Language : En, Es, Fr & De
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This book presents the foundations of key problems in computational molecular biology and bioinformatics. It focuses on computational and statistical principles applied to genomes, and introduces the mathematics and statistics that are crucial for understanding these applications. The book features a free download of the R software statistics package and the text provides great crossover material that is interesting and accessible to students in biology, mathematics, statistics and computer science. More than 100 illustrations and diagrams reinforce concepts and present key results from the primary literature. Exercises are given at the end of chapters.

Computational Text Analysis

Computational Text Analysis
A Book

by Soumya Raychaudhuri

  • Publisher : Unknown Publisher
  • Release : 2006
  • Pages : 288
  • ISBN : 9780198567417
  • Language : En, Es, Fr & De
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Research in Computational Molecular Biology

Research in Computational Molecular Biology
14th Annual International Conference, RECOMB 2010, Lisbon, Portugal, April 25-28, 2010, Proceedings

by Bonnie Berger

  • Publisher : Springer Science & Business Media
  • Release : 2010-04-20
  • Pages : 582
  • ISBN : 3642126820
  • Language : En, Es, Fr & De
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This volume contains the papers presented at RECOMB 2010: the 14th Annual International Conference on Research in Computational Molecular Biology held in Lisbon, Portugal, during April 25–28, 2010. The RECOMB conference series was started in 1997 by Sorin Istrail, Pavel Pevzner, and Michael Waterman. RECOMB 2010 was hosted by INESC-ID and Instituto Superior Tecnico, or- nized by a committee chaired by Arlindo Oliveira and took place at the Int- national Fair of Lisbon Meeting Centre. This year, 36 papers were accepted for presentation out of 176 submissions. The papers presented were selected by the Program Committee (PC) assisted by a number of external reviewers. Each paper was reviewed by three members of the PC, or by external reviewers, and there was an extensive Web-based discussion over a period of two weeks, leading to the ?nal decisions. RECOMB 2010 also introduced a Highlights Track, in which six additional presentations by senior authors were chosen from papers published in 2009. The RECOMB conferenceseriesiscloselyassociatedwiththeJournalofComputational Biology, which traditionally publishes special issues devoted to presenting full versions of selected conference papers.