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The Resource Engineering mathematics II : algebraic, stochastic and analysis structures for networks, data classification and optimization, Sergei Silvestrov, Milica Rančić, editors
Engineering mathematics II : algebraic, stochastic and analysis structures for networks, data classification and optimization, Sergei Silvestrov, Milica Rančić, editors
Resource Information
The item Engineering mathematics II : algebraic, stochastic and analysis structures for networks, data classification and optimization, Sergei Silvestrov, Milica Rančić, editors represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Oklahoma Libraries.This item is available to borrow from all library branches.
Resource Information
The item Engineering mathematics II : algebraic, stochastic and analysis structures for networks, data classification and optimization, Sergei Silvestrov, Milica Rančić, editors represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Oklahoma Libraries.
This item is available to borrow from all library branches.
 Summary
 This book highlights the latest advances in engineering mathematics with a main focus on the mathematical models, structures, concepts, problems and computational methods and algorithms most relevant for applications in modern technologies and engineering. It addresses mathematical methods of algebra, applied matrix analysis, operator analysis, probability theory and stochastic processes, geometry and computational methods in network analysis, data classification, ranking and optimisation. The individual chapters cover both theory and applications, and include a wealth of figures, schemes, algorithms, tables and results of data analysis and simulation. Presenting new methods and results, reviews of cuttingedge research, and open problems for future research, they equip readers to develop new mathematical methods and concepts of their own, and to further compare and analyse the methods and results discussed. The book consists of contributed chapters covering research developed as a result of a focused international seminar series on mathematics and applied mathematics and a series of three focused international research workshops on engineering mathematics organised by the Research Environment in Mathematics and Applied Mathematics at Mälardalen University from autumn 2014 to autumn 2015: the International Workshop on Engineering Mathematics for Electromagnetics and Health Technology; the International Workshop on Engineering Mathematics, Algebra, Analysis and Electromagnetics; and the 1st SwedishEstonian International Workshop on Engineering Mathematics, Algebra, Analysis and Applications. It serves as a source of inspiration for a broad spectrum of researchers and research students in applied mathematics, as well as in the areas of applications of mathematics considered in the book
 Language
 eng
 Extent
 1 online resource (xiv, 436 pages)
 Note
 Includes index
 Contents

 Preface; Contents; Contributors; Classification of Low Dimensional 3Lie Superalgebras; 1 Introduction; 2 Supertrace and Induced nLie Superalgebras; 3 Properties of Induced nLie Superalgebras; 4 Low Dimensional Ternary Lie Superalgebras; 5 Supermodule Over Clifford Algebra; References; Semicommutative Galois Extension and Reduced Quantum Plane; 1 Introduction; 2 Graded qDifferential Algebra Structure of Noncommutative Galois Extension; 3 First Order Differential Calculus over Associative Unital Algebra; 4 First Order Differential Calculus of Semicommutative Galois Extension
 5 Higher Order Differential Calculus of Semicommutative Galois Extension6 Semicommutative Galois Extension Approach to Reduced Quantum Plane; References; Valued Custom Skew Fields with Generalised PBW Property from Power Series Construction; 1 Introduction; 2 Normed Algebras; 3 Rewriting and the Diamond Lemma; 4 The Unreasonable Usefulness of Irrationality; References; Computing Burchnall  Chaundy Polynomials with Determinants; 1 Introduction; 2 Definitions; 3 Algebraic Dependence; 4 The Determinant Construction; 5 Generalisation to Ore Extensions; References
 Centralizers and PseudoDegree Functions1 Introduction; 1.1 Notation and Conventions; 2 Centralizers in Algebras with Degree Functions; 3 Examples; References; Crossed Product Algebras for PieceWise Constant Functions; 1 Introduction; 2 Definitions and a Preliminary Result; 3 Algebra of PieceWise Constant Functions; 3.1 Maximal Commutative Subalgebra; 4 Algebra of PieceWise Constant Functions on the Real Line with N Fixed Jump Points; 5 Some Examples; 5.1 PieceWise Constant Functions with One Jump Point; 5.2 PieceWise Constant Functions with Two Jump Points; References
 Commutants in Crossed Product Algebras for PieceWise Constant Functions1 Introduction; 2 Definitions and a Preliminary Result; 3 Algebra of PieceWise Constant Functions on the Real Line with N Fixed Jump Points; 4 Comparison of Commutants; 4.1 An Example; 5 Description of the Center; 6 Jump Points Added into Different Intervals; 6.1 Description of SepmathcalASn(mathbbR) and the Commutant mathcalAS'; References; Asymptotic Expansions for Moment Functionals of Perturbed Discrete Time SemiMarkov Processes; 1 Introduction; 2 Perturbed SemiMarkov Processes; 3 Systems of Linear Equations
 4 Convergence of Moment Functionals5 Expansions of Moment Functionals; References; Asymptotics for Quasistationary Distributions of Perturbed Discrete Time SemiMarkov Processes; 1 Introduction; 2 Main Result; 3 Quasistationary Distributions; 4 Proof of the Main Result; 5 Perturbed Markov Chains; References; Asymptotic Expansions for Stationary Distributions of Perturbed SemiMarkov Processes; 1 Introduction; 2 Laurent Asymptotic Expansions; 2.1 Definition of Laurent Asymptotic Expansions; 2.2 Operational Rules for Laurent Asymptotic Expansions; 2.3 Proofs of Lemmas10.1  10.6
 Isbn
 9783319421056
 Label
 Engineering mathematics II : algebraic, stochastic and analysis structures for networks, data classification and optimization
 Title
 Engineering mathematics II
 Title remainder
 algebraic, stochastic and analysis structures for networks, data classification and optimization
 Statement of responsibility
 Sergei Silvestrov, Milica Rančić, editors
 Title variation
 Engineering mathematics 2
 Language
 eng
 Summary
 This book highlights the latest advances in engineering mathematics with a main focus on the mathematical models, structures, concepts, problems and computational methods and algorithms most relevant for applications in modern technologies and engineering. It addresses mathematical methods of algebra, applied matrix analysis, operator analysis, probability theory and stochastic processes, geometry and computational methods in network analysis, data classification, ranking and optimisation. The individual chapters cover both theory and applications, and include a wealth of figures, schemes, algorithms, tables and results of data analysis and simulation. Presenting new methods and results, reviews of cuttingedge research, and open problems for future research, they equip readers to develop new mathematical methods and concepts of their own, and to further compare and analyse the methods and results discussed. The book consists of contributed chapters covering research developed as a result of a focused international seminar series on mathematics and applied mathematics and a series of three focused international research workshops on engineering mathematics organised by the Research Environment in Mathematics and Applied Mathematics at Mälardalen University from autumn 2014 to autumn 2015: the International Workshop on Engineering Mathematics for Electromagnetics and Health Technology; the International Workshop on Engineering Mathematics, Algebra, Analysis and Electromagnetics; and the 1st SwedishEstonian International Workshop on Engineering Mathematics, Algebra, Analysis and Applications. It serves as a source of inspiration for a broad spectrum of researchers and research students in applied mathematics, as well as in the areas of applications of mathematics considered in the book
 Cataloging source
 N$T
 Dewey number
 620.001/51
 Illustrations
 illustrations
 Index
 index present
 LC call number
 TA330
 Literary form
 non fiction
 Nature of contents
 dictionaries
 http://library.link/vocab/relatedWorkOrContributorName

 Silvestrov, Sergei D.
 Rančić, Milica
 Series statement
 Springer proceedings in mathematics & statistics,
 Series volume
 179
 http://library.link/vocab/subjectName

 Engineering mathematics
 TECHNOLOGY & ENGINEERING / Engineering (General)
 TECHNOLOGY & ENGINEERING / Reference
 Engineering mathematics
 Applied mathematics
 Mathematical physics
 Mechanics of fluids
 Probability & statistics
 Maths for scientists
 Label
 Engineering mathematics II : algebraic, stochastic and analysis structures for networks, data classification and optimization, Sergei Silvestrov, Milica Rančić, editors
 Note
 Includes index
 Antecedent source
 unknown
 Carrier category
 online resource
 Carrier category code
 cr
 Carrier MARC source
 rdacarrier
 Color
 multicolored
 Content category
 text
 Content type code
 txt
 Content type MARC source
 rdacontent
 Contents

 Preface; Contents; Contributors; Classification of Low Dimensional 3Lie Superalgebras; 1 Introduction; 2 Supertrace and Induced nLie Superalgebras; 3 Properties of Induced nLie Superalgebras; 4 Low Dimensional Ternary Lie Superalgebras; 5 Supermodule Over Clifford Algebra; References; Semicommutative Galois Extension and Reduced Quantum Plane; 1 Introduction; 2 Graded qDifferential Algebra Structure of Noncommutative Galois Extension; 3 First Order Differential Calculus over Associative Unital Algebra; 4 First Order Differential Calculus of Semicommutative Galois Extension
 5 Higher Order Differential Calculus of Semicommutative Galois Extension6 Semicommutative Galois Extension Approach to Reduced Quantum Plane; References; Valued Custom Skew Fields with Generalised PBW Property from Power Series Construction; 1 Introduction; 2 Normed Algebras; 3 Rewriting and the Diamond Lemma; 4 The Unreasonable Usefulness of Irrationality; References; Computing Burchnall  Chaundy Polynomials with Determinants; 1 Introduction; 2 Definitions; 3 Algebraic Dependence; 4 The Determinant Construction; 5 Generalisation to Ore Extensions; References
 Centralizers and PseudoDegree Functions1 Introduction; 1.1 Notation and Conventions; 2 Centralizers in Algebras with Degree Functions; 3 Examples; References; Crossed Product Algebras for PieceWise Constant Functions; 1 Introduction; 2 Definitions and a Preliminary Result; 3 Algebra of PieceWise Constant Functions; 3.1 Maximal Commutative Subalgebra; 4 Algebra of PieceWise Constant Functions on the Real Line with N Fixed Jump Points; 5 Some Examples; 5.1 PieceWise Constant Functions with One Jump Point; 5.2 PieceWise Constant Functions with Two Jump Points; References
 Commutants in Crossed Product Algebras for PieceWise Constant Functions1 Introduction; 2 Definitions and a Preliminary Result; 3 Algebra of PieceWise Constant Functions on the Real Line with N Fixed Jump Points; 4 Comparison of Commutants; 4.1 An Example; 5 Description of the Center; 6 Jump Points Added into Different Intervals; 6.1 Description of SepmathcalASn(mathbbR) and the Commutant mathcalAS'; References; Asymptotic Expansions for Moment Functionals of Perturbed Discrete Time SemiMarkov Processes; 1 Introduction; 2 Perturbed SemiMarkov Processes; 3 Systems of Linear Equations
 4 Convergence of Moment Functionals5 Expansions of Moment Functionals; References; Asymptotics for Quasistationary Distributions of Perturbed Discrete Time SemiMarkov Processes; 1 Introduction; 2 Main Result; 3 Quasistationary Distributions; 4 Proof of the Main Result; 5 Perturbed Markov Chains; References; Asymptotic Expansions for Stationary Distributions of Perturbed SemiMarkov Processes; 1 Introduction; 2 Laurent Asymptotic Expansions; 2.1 Definition of Laurent Asymptotic Expansions; 2.2 Operational Rules for Laurent Asymptotic Expansions; 2.3 Proofs of Lemmas10.1  10.6
 Dimensions
 unknown
 Extent
 1 online resource (xiv, 436 pages)
 File format
 unknown
 Form of item
 online
 Isbn
 9783319421056
 Level of compression
 unknown
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code
 c
 Note
 SpringerLink
 Other physical details
 illustrations (some color).
 Quality assurance targets
 not applicable
 Reformatting quality
 unknown
 Sound
 unknown sound
 Specific material designation
 remote
 System control number

 (OCoLC)972478021
 (OCoLC)ocn972478021
 Label
 Engineering mathematics II : algebraic, stochastic and analysis structures for networks, data classification and optimization, Sergei Silvestrov, Milica Rančić, editors
 Note
 Includes index
 Antecedent source
 unknown
 Carrier category
 online resource
 Carrier category code
 cr
 Carrier MARC source
 rdacarrier
 Color
 multicolored
 Content category
 text
 Content type code
 txt
 Content type MARC source
 rdacontent
 Contents

 Preface; Contents; Contributors; Classification of Low Dimensional 3Lie Superalgebras; 1 Introduction; 2 Supertrace and Induced nLie Superalgebras; 3 Properties of Induced nLie Superalgebras; 4 Low Dimensional Ternary Lie Superalgebras; 5 Supermodule Over Clifford Algebra; References; Semicommutative Galois Extension and Reduced Quantum Plane; 1 Introduction; 2 Graded qDifferential Algebra Structure of Noncommutative Galois Extension; 3 First Order Differential Calculus over Associative Unital Algebra; 4 First Order Differential Calculus of Semicommutative Galois Extension
 5 Higher Order Differential Calculus of Semicommutative Galois Extension6 Semicommutative Galois Extension Approach to Reduced Quantum Plane; References; Valued Custom Skew Fields with Generalised PBW Property from Power Series Construction; 1 Introduction; 2 Normed Algebras; 3 Rewriting and the Diamond Lemma; 4 The Unreasonable Usefulness of Irrationality; References; Computing Burchnall  Chaundy Polynomials with Determinants; 1 Introduction; 2 Definitions; 3 Algebraic Dependence; 4 The Determinant Construction; 5 Generalisation to Ore Extensions; References
 Centralizers and PseudoDegree Functions1 Introduction; 1.1 Notation and Conventions; 2 Centralizers in Algebras with Degree Functions; 3 Examples; References; Crossed Product Algebras for PieceWise Constant Functions; 1 Introduction; 2 Definitions and a Preliminary Result; 3 Algebra of PieceWise Constant Functions; 3.1 Maximal Commutative Subalgebra; 4 Algebra of PieceWise Constant Functions on the Real Line with N Fixed Jump Points; 5 Some Examples; 5.1 PieceWise Constant Functions with One Jump Point; 5.2 PieceWise Constant Functions with Two Jump Points; References
 Commutants in Crossed Product Algebras for PieceWise Constant Functions1 Introduction; 2 Definitions and a Preliminary Result; 3 Algebra of PieceWise Constant Functions on the Real Line with N Fixed Jump Points; 4 Comparison of Commutants; 4.1 An Example; 5 Description of the Center; 6 Jump Points Added into Different Intervals; 6.1 Description of SepmathcalASn(mathbbR) and the Commutant mathcalAS'; References; Asymptotic Expansions for Moment Functionals of Perturbed Discrete Time SemiMarkov Processes; 1 Introduction; 2 Perturbed SemiMarkov Processes; 3 Systems of Linear Equations
 4 Convergence of Moment Functionals5 Expansions of Moment Functionals; References; Asymptotics for Quasistationary Distributions of Perturbed Discrete Time SemiMarkov Processes; 1 Introduction; 2 Main Result; 3 Quasistationary Distributions; 4 Proof of the Main Result; 5 Perturbed Markov Chains; References; Asymptotic Expansions for Stationary Distributions of Perturbed SemiMarkov Processes; 1 Introduction; 2 Laurent Asymptotic Expansions; 2.1 Definition of Laurent Asymptotic Expansions; 2.2 Operational Rules for Laurent Asymptotic Expansions; 2.3 Proofs of Lemmas10.1  10.6
 Dimensions
 unknown
 Extent
 1 online resource (xiv, 436 pages)
 File format
 unknown
 Form of item
 online
 Isbn
 9783319421056
 Level of compression
 unknown
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code
 c
 Note
 SpringerLink
 Other physical details
 illustrations (some color).
 Quality assurance targets
 not applicable
 Reformatting quality
 unknown
 Sound
 unknown sound
 Specific material designation
 remote
 System control number

 (OCoLC)972478021
 (OCoLC)ocn972478021
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