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Algebraic automata theory / W.M.L. Holcombe
Algebraic automata theory / W.M.L. Holcombe
Autore Holcombe, W. M. L.
Pubbl/distr/stampa Cambridge [etc.] : Cambridge University Press, 1982
Descrizione fisica XI, 228 p. ; 24 cm.
Disciplina 512.02
Collana Cambridge studies in advanced mathematics
Soggetto topico Algebra
ISBN 0-521-23196-5
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNIBAS-000016258
Holcombe, W. M. L.  
Cambridge [etc.] : Cambridge University Press, 1982
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Algebraic Circuits [[electronic resource] /] / by Antonio Lloris Ruiz, Encarnación Castillo Morales, Luis Parrilla Roure, Antonio García Ríos
Algebraic Circuits [[electronic resource] /] / by Antonio Lloris Ruiz, Encarnación Castillo Morales, Luis Parrilla Roure, Antonio García Ríos
Autore Lloris Ruiz Antonio
Edizione [1st ed. 2014.]
Pubbl/distr/stampa Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2014
Descrizione fisica 1 online resource (413 p.)
Disciplina 512.3
Collana Intelligent Systems Reference Library
Soggetto topico Electronic circuits
Algebra
Data structures (Computer science)
Signal processing
Image processing
Speech processing systems
Circuits and Systems
General Algebraic Systems
Data Structures and Information Theory
Signal, Image and Speech Processing
ISBN 3-642-54649-8
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Number Systems -- Basic Arithmetic Circuits -- Residue Number Systems -- Basic algebraic circuits -- Galois Fields GF(2m) -- Galois Fields GF(pn) -- Two Galois fields cryptographic applications.
Record Nr. UNINA-9910299469103321
Lloris Ruiz Antonio  
Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2014
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Algebraic combinatorics
Algebraic combinatorics
Pubbl/distr/stampa [Grenoble, France] : , : Centre Mersenne
Descrizione fisica 1 online resource
Disciplina 510
Soggetto topico Combinatorial analysis
Algebra
Analyse combinatoire
Algèbre
Soggetto genere / forma Periodicals.
Zeitschrift
ISSN 2589-5486
Formato Materiale a stampa
Livello bibliografico Periodico
Lingua di pubblicazione eng
Record Nr. UNINA-9910258743803321
[Grenoble, France] : , : Centre Mersenne
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Algebraic combinatorics
Algebraic combinatorics
Pubbl/distr/stampa [Grenoble, France] : , : Centre Mersenne
Descrizione fisica 1 online resource
Disciplina 510
Soggetto topico Combinatorial analysis
Algebra
Analyse combinatoire
Algèbre
Soggetto genere / forma Periodicals.
Zeitschrift
ISSN 2589-5486
Formato Materiale a stampa
Livello bibliografico Periodico
Lingua di pubblicazione eng
Record Nr. UNISA-996404418903316
[Grenoble, France] : , : Centre Mersenne
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Algebraic combinatorics
Algebraic combinatorics
Pubbl/distr/stampa Saint Martin d’Hères : , : Centre Mersenne
Soggetto topico Combinatorial analysis
Algebra
ISSN 2589-5486
Formato Materiale a stampa
Livello bibliografico Periodico
Lingua di pubblicazione eng
Record Nr. UNINA-9910255432203321
Saint Martin d’Hères : , : Centre Mersenne
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Algebraic Curves and Surfaces [[electronic resource] ] : A History of Shapes / / by Laurent Busé, Fabrizio Catanese, Elisa Postinghel
Algebraic Curves and Surfaces [[electronic resource] ] : A History of Shapes / / by Laurent Busé, Fabrizio Catanese, Elisa Postinghel
Autore Busé Laurent
Edizione [1st ed. 2023.]
Pubbl/distr/stampa Cham : , : Springer International Publishing : , : Imprint : Springer, , 2023
Descrizione fisica 1 online resource (220 pages)
Disciplina 516.35
Altri autori (Persone) CataneseFabrizio
PostinghelElisa
Collana SISSA Springer Series
Soggetto topico Algebra
Algebraic geometry
Algebraic Geometry
ISBN 9783031241512
9783031241505
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Intro -- Preface -- Abridged History of the Theory of Curves and Surfaces -- Contents of the Volume -- Contents -- 1 The P12-Theorem: The Classification of Surfaces and Its Historical Development -- 1.1 Introduction -- 1.2 Lecture I: The Basic Set Up -- 1.2.1 First New Concepts Introduced by Enriques -- 1.2.1.1 Intersection Product -- 1.2.1.2 The Severi Group and the Neron-Severi Group -- 1.2.2 The Canonical Divisor and Riemann-Roch for Divisors on Surfaces -- 1.2.2.1 The Hurwitz Formula -- 1.2.3 The Arithmetic Genus of a Curve on a Surface -- 1.2.4 Linear Systems and Morphisms -- 1.2.5 Exceptional Curves of the First Kind and the Theorem of Castelnuovo-Enriques -- 1.2.6 Birational Invariants of S and the Albanese Variety -- 1.2.6.1 Irregular Surfaces and the Albanese Variety -- 1.2.7 Uniqueness Versus Non Uniqueness of Minimal Models -- 1.2.7.1 Elementary Transformations of Geometrically Ruled Surfaces -- 1.2.8 Castelnuovo's Key Theorem -- 1.2.9 Biregular Invariants of the Minimal Model -- 1.3 Lecture II: First Important Results for the Classification Theorem of Surfaces -- 1.3.1 A Basic Tool: Unramified Coverings -- 1.3.2 Castelnuovo's Theorem on Irregular Ruled Surfaces -- 1.3.3 Surfaces Fibred Over Curves -- 1.3.4 Castelnuovo's Criterion of Rationality -- 1.4 Lecture III: The Classification Theorem -- 1.4.1 Description of the Surfaces with 12 KS 0 (Case II, P12(S)=1) -- 1.4.2 Hyperelliptic Surfaces -- 1.5 Lecture IV: Isotriviality. Central Methods and Ideas in the Proof of the P12-Theorem -- 1.5.1 Structure of the Proof of the Classification Theorem -- 1.5.1.1 The Canonical Divisor Formula for Elliptic Fibrations -- 1.5.1.2 On the Existence of Elliptic Fibrations -- 1.5.1.3 P12 of Elliptic Fibrations -- 1.5.2 The Special Case KS nef, KS2=0, pg(S)=0, q(S)=1 and the Crucial Theorem.
1.5.3 First Transcendental Proof of Isotriviality for Fibre Genus g = 1. -- 1.5.3.1 All the Fibres Smooth of Genus g=1 -- 1.5.3.2 g=1 and there are multiple fibres. -- 1.5.4 Second Transcendental Proof of Isotriviality Using Teichmüller Space for Fibre Genus g ≥2 -- 1.5.5 Modern Proof of Isotriviality Using Variation of Hodge Structures, and the Theorems of Fujita and Arakelov -- 1.5.5.1 Fujita's and Arakelov's Theorems -- 1.5.6 Algebraic Approaches by Castelnuovo-Enriques, Bombieri-Mumford -- 1.5.6.1 Lemma of Enriques and Mumford mum1 -- 1.6 Appendix: Surfaces with Arithmetic Genus -1, Hyperelliptic Surfaces and Elliptic Surfaces According to Enriques -- 1.6.1 Analysis of Enriques' Argument -- 1.6.2 An Explicit Example of Surfaces of Type (2.0,0) -- 1.7 Some Exercises -- 1.7.1 Exercise 1 : Exceptional Curves of the First Kind -- 1.7.2 Exercise 2 : Fibred Surfaces with Fibre Genus g=0 -- 1.7.3 Exercise 3 : Minimal K3 Surfaces, Surfaces with KS 0 (KS is Trivial), q(S) = 0 -- 1.7.4 Exercise 4: Enriques' Construction of Enriques Surfaces -- 1.7.5 Exercise 5: Construction of Enriques Surfaces via a Reye Congruence -- References -- 2 Linear Systems of Hypersurfaces with Singularities and Beyond -- 2.1 Introduction -- 2.2 Plane Singular Curves -- 2.2.1 Polynomial Interpolation Problems -- 2.2.2 Geometric Formulation: Linear Systems with Multiple Base Points -- 2.2.3 Algebraic Formulation: Ideals of Powers of Linear Forms -- 2.2.4 Plane Curves -- 2.2.4.1 The Segre-Harbourne-Gimigliano-Hirschowitz Conjecture -- 2.2.4.2 A Conjecture by Nagata -- 2.2.5 Standard Cremona Involution -- 2.2.6 Historical Readings -- 2.2.6.1 Linear Systems of Plane Curves -- 2.2.6.2 Castelnuovo-Mumford Regularity -- 2.2.7 Further Readings -- 2.2.7.1 Birkhoff Interpolation -- 2.2.7.2 Classification of Surfaces and (-1)-Curves -- 2.2.8 Exercises -- 2.3 Nodal Hypersurfaces.
2.3.1 The Exceptional Cases of the Alexander-Hirschowitz Theorem -- 2.3.1.1 Quadrics in Pn -- 2.3.1.2 Quartics in Pn, with n≤4 -- 2.3.1.3 Cubics in P4 with Seven Nodes -- 2.3.2 Degeneration Techniques in the Proofs of Theorem 2.15 -- 2.3.2.1 Specialisation of Points: Horace Methods -- 2.3.2.2 Degenerations of the Space -- 2.3.3 Secant Varieties of Veronese Varieties -- 2.3.4 Further Readings -- 2.3.4.1 Waring's Problem for Polynomials -- 2.3.5 Historical Readings -- 2.3.5.1 Degenerations and Castelnuovo's Exact Sequences -- 2.3.6 Exercises -- 2.4 Results and Conjectures in Higher Dimension: Base Loci -- 2.4.1 Laface-Ugaglia Conjecture for P3 -- 2.4.2 The Toric Case: n+1 Points of Pn -- 2.4.2.1 A Combinatorial Trick -- 2.4.3 Linear Base Locus: The Case s≤n+2 -- 2.4.3.1 Connections to the Fröberg-Iarrobino Conjecture -- 2.4.4 Base Locus Rational Normal Curves Through n+3 points of Pn and Their Secant Varieties -- 2.4.4.1 Divisorial Joins -- 2.4.5 Base Locus Weyl Cycles Through n+4 Points of Pn,n=3,4 -- 2.4.6 Concluding Remarks -- 2.4.7 Further Readings -- 2.4.7.1 Compactifications of the Moduli Space of Rational Curves -- 2.4.8 Exercises -- 2.5 Birational Properties of Blow-Ups -- 2.5.1 Ampleness, Very Ampleness and l-Very Ampleness -- 2.5.2 Cones of Divisors -- 2.5.2.1 Nef Cones -- 2.5.2.2 Mori Dream Spaces, Effective and Movable Cones of Divisors and Their Mori Chamber Decomposition -- 2.5.3 Further Readings -- 2.5.3.1 Jet Ampleness of Line Bundles -- 2.5.3.2 Blow-Ups of Projective Spaces, Moduli Theory and Hilbert's 14th Problem -- 2.5.3.3 Classification of Mori Dream Space Blow-Ups of Products of Projective Spaces -- 2.5.4 Exercises -- References -- 3 Implicit Representations of Rational Curves and Surfaces -- 3.1 Introduction -- 3.2 Plane Rational Curve Parameterizations -- 3.2.1 The Classical Implicitization Method.
3.2.2 Syzygies of Curve Parameterizations -- 3.2.3 Matrix Representations of Curve Parameterizations -- 3.2.4 Intersection of Two Rational Curves -- 3.2.5 Singular Points -- 3.2.6 Exercises -- 3.3 Matrix Representations in Elimination Theory -- 3.3.1 Fitting Elimination Ideals -- 3.3.1.1 Elimination Ideals -- 3.3.1.2 Fitting Invariants and Elimination Matrices -- 3.3.2 Finite Fibers and Elimination Matrices -- 3.3.3 Koszul-Type Elimination Matrices -- 3.3.3.1 The Ideal of Inertia Forms -- 3.3.3.2 Upper Bound on the Regularity -- 3.3.3.3 Elimination Matrices -- 3.3.4 Hybrid Elimination Matrices -- 3.3.4.1 Sylvester Forms -- 3.3.4.2 Elimination Matrices -- 3.3.5 Exercises -- 3.4 Rational Curve Parameterizations -- 3.4.1 Syzygies and the Equations of the Graph -- 3.4.2 Fibers by Means of Matrix Representations -- 3.4.3 Using Quadratic Relations -- 3.4.3.1 Sylvester Forms -- 3.4.3.2 Matrix Representations by Means of Linear and Quadratic Relations -- 3.4.4 Application to Intersection Problems -- 3.4.4.1 Inversion of a Point -- 3.4.4.2 Intersection of Two Rational Curves -- 3.4.5 Exercises -- 3.5 Rational Hypersurface Parameterizations -- 3.5.1 The Degree of Parameterized Hypersurfaces -- 3.5.2 Graph and Blowup Algebras -- 3.5.2.1 The Rees Algebra -- 3.5.2.2 The Symmetric Algebra -- 3.5.2.3 Approximation Complexes -- 3.5.3 Matrix Representations of Hypersurface Parameterizations -- 3.5.4 Applications to Intersection Problems -- 3.5.5 Further Readings -- References.
Record Nr. UNINA-9910720071903321
Busé Laurent  
Cham : , : Springer International Publishing : , : Imprint : Springer, , 2023
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Algebraic design theory and Hadamard matrices [[electronic resource] ] : ADTHM, Lethbridge, Alberta, Canada, July 2014 / / edited by Charles J. Colbourn
Algebraic design theory and Hadamard matrices [[electronic resource] ] : ADTHM, Lethbridge, Alberta, Canada, July 2014 / / edited by Charles J. Colbourn
Edizione [1st ed. 2015.]
Pubbl/distr/stampa Cham : , : Springer International Publishing : , : Imprint : Springer, , 2015
Descrizione fisica 1 online resource (261 p.)
Disciplina 511.6
Collana Springer Proceedings in Mathematics & Statistics
Soggetto topico Combinatorics
Matrix theory
Algebra
Number theory
Information theory
Linear and Multilinear Algebras, Matrix Theory
Number Theory
Information and Communication, Circuits
ISBN 3-319-17729-X
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto On (−1, 1)-matrices of skew type with the maximal determinants and tournaments -- On good matrices and skew Hadamard matrices -- Suitable permutations, binary covering arrays, and Paley matrices -- Divisible design digraphs -- New symmetric (61,16,4) designs obtained from codes -- D-optimal matrices of orders 118, 138, 150, 154 and 174 -- Periodic Golay pairs of length 72 -- Classifying cocyclic Butson Hadamard matrices -- Signed group orthogonal designs and their applications -- On symmetric designs and binary 3-frameproof codes -- An algorithm for constructing Hjelmslev planes -- Mutually unbiased biangular vectors and association schemes -- A simple construction of complex equiangular lines -- Inner product vectors for skew-Hadamard matrices -- Twin bent functions and Clifford algebras -- A Walsh–Fourier approach to the circulant Hadamard matrices -- A note on order and eigenvalue multiplicity of strongly regular graphs -- Trades in complex Hadamard matrices -- The hunt for weighting matrices of small orders -- Menon–Hadamard difference sets obtained from a local field by natural projections -- BIRS Workshop 14w2199 July 11–13, 2014 Problem Solving Session.
Record Nr. UNINA-9910300252403321
Cham : , : Springer International Publishing : , : Imprint : Springer, , 2015
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Algebraic function fields and codes [e-book] / by Henning Stichtenoth
Algebraic function fields and codes [e-book] / by Henning Stichtenoth
Autore Stichtenoth, Henning
Pubbl/distr/stampa Berlin, Heidelberg : Springer, 2009
Descrizione fisica v.: digital
Collana Graduate Texts in Mathematics, 0072-5285 ; 254
Soggetto topico Algebra
Data structures (Computer science)
Engineering mathematics
Geometry, algebraic
Mathematics
ISBN 9783540768784
Formato Software
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNISALENTO-b13870671
Stichtenoth, Henning  
Berlin, Heidelberg : Springer, 2009
Software
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An algebraic geometric approach to separation of variables [[electronic resource] /] / by Konrad Schöbel
An algebraic geometric approach to separation of variables [[electronic resource] /] / by Konrad Schöbel
Autore Schöbel Konrad
Edizione [1st ed. 2015.]
Pubbl/distr/stampa Wiesbaden : , : Springer Fachmedien Wiesbaden : , : Imprint : Springer Spektrum, , 2015
Descrizione fisica 1 online resource (147 p.)
Disciplina 510
Soggetto topico Mathematical physics
Geometry
Algebra
Mathematical Physics
ISBN 3-658-11408-8
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto The Foundation: The Algebraic Integrability Conditions -- The Proof of Concept: A Complete Solution for the 3-Sphere -- The Generalisation: A Solution for Spheres of Arbitrary Dimension -- The Perspectives: Applications and Generalisations.
Record Nr. UNINA-9910300254703321
Schöbel Konrad  
Wiesbaden : , : Springer Fachmedien Wiesbaden : , : Imprint : Springer Spektrum, , 2015
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Algebraic geometry and commutative algebra / / Siegfried Bosch
Algebraic geometry and commutative algebra / / Siegfried Bosch
Autore Bosch S (Siegfried), <1944->
Edizione [Second edition.]
Pubbl/distr/stampa London, England : , : Springer-Verlag, , [2022]
Descrizione fisica 1 online resource (508 pages)
Disciplina 516.35
Collana Universitext Ser.
Soggetto topico Geometry, Algebraic
Commutative algebra
Algebra
ISBN 9781447175230
9781447175223
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNINA-9910564691103321
Bosch S (Siegfried), <1944->  
London, England : , : Springer-Verlag, , [2022]
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