1.

Record Nr.

UNINA9911019127003321

Autore

Korst Jan

Titolo

Multimedia storage and retrieval : an algorithmic approach

Pubbl/distr/stampa

[Place of publication not identified], : Wiley, 2005

ISBN

1-280-55443-6

9786610554430

0-470-09105-3

0-470-09104-5

Descrizione fisica

1 online resource (263 pages)

Disciplina

006.7

Soggetti

Multimedia systems

Computer algorithms

Computer Science

Engineering & Applied Sciences

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Bibliographic Level Mode of Issuance: Monograph

Sommario/riassunto

The success of multimedia information systems to adequately meet the needs of accessing and presenting audio/video information from a large multimedia server, depends heavily on the proper use of storage and retrieval algorithms suitable for this task. This book describes various algorithms from simple to sophisticated: from single user to multiple users, from constant-bit-rate to variable-bit-rate streams, and from single disk to multiple disks. It emphasises storage and retrieval of video data using magnetic disk systems, thereby concentrating on the fundamental algorithms that underlie these systems and pursuing an elementary mathematical approach.; Provides those new to the subject with the basic principles of the design and analysis of video on demand systems and guides the reader towards a thorough understanding of the field. Offers an extensive overview of the work that has been carried out in the area of video-on-demand systems. Comprehensively covers disk scheduling algorithms, ranging from serving a single, constant-bit-rate client to serving multiple,



variable-bit-rate clients, using only a single disk. Guides the reader through associated storage strategies along with a transition to multiple disk systems. This introduces additional degrees of freedom and associated storage strategies. Concludes with further optimizations in the area of video transmission, covering bit-rate smoothing and near video-on-demand strategies.

2.

Record Nr.

UNINA9911006800003321

Autore

Shilov Georgi E

Titolo

Linear Algebra

Pubbl/distr/stampa

Newburyport, : Dover Publications, 2012

ISBN

0-486-13504-7

1-62198-583-0

Edizione

[1st ed.]

Descrizione fisica

1 online resource (670 p.)

Collana

Dover Books on Mathematics

Disciplina

512/.5

Soggetti

Algebras, Linear

Mathematics

Physical Sciences & Mathematics

Algebra

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Description based upon print version of record.

Nota di contenuto

DOVER BOOKS ON MATHEMATICS; Title Page; Copyright Page; PREFACE; Table of Contents; chapter I - DETERMINANTS; I.I. Number Fields; I.2. Problems of the Theory of Systems of Linear Equations; I.3.Determinants of Order n; 1.4. Properties of Determinants; 1.5. Cofactors and Minors; 1.6. Practical Evaluation of Determinants; 1.7. Cramer's Rule; 1.8. Minors of Arbitrary Order. Laplace's Theorem; 1.9. Linear Dependence between Columns; chapter 2 - LINEAR SPACES; 2.1. Definitions; 2.2. Linear Dependence; 2.3 Bases, Components, Dimension; 2.4. Subspaces; 2.5. Linear Manifolds; 2.6. Hyperplanes

2.7. Morphisms of Linear Spaceschapter 3 - SYSTEMS OF LINEAR EQUATIONS; 3.1. More on the Rank of a Matrix; 3.2. Nontrivial Compatibility of a Homogeneous Linear System; 3.3. The Compatibility



Condition for a General Linear System; 3.4. The General Solution of a Linear System; 3.5. Geometric Properties of the Solution Space; 3.6. Methods for Calculating the Rank of a Matrix; chapter 4 - LINEAR FUNCTIONS OF A VECTOR ARGUMENT; 4.1. Linear Forms; 4.2. Linear Operators; 4.3. Sums and Products of Operators; 4.4. Corresponding Operations on Matrices; 4.5. Further Properties of Matrix Multiplication

4.6.The Range and Null Space of a Linear Operator4.7. Linear Operators Mapping a Space Kn into Itself 2&; 4.8.Invariant Subspaces; 4.9.Eigenvectors and Eigenvalues; chapter 5 - COORDINATE TRANSFORMATIONS; 5.1. Transformation to a New Basis; 5.2. Consecutive Transformations; 5.3. Transformation of the Components of a Vector; 5.4. Transformation of the Coefficients of a Linear Form; 5.5. Transformation of the Matrix of a Linear Operator; *5.6. Tensors; chapter 6 - THE CANONICAL FORM OF THE MATRIX OF A LINEAR OPERATOR; 6.1 Canonical Form of the Matrix of a Nilpotent Operator .

6.2. Algebras. The Algebra of Polynomials6.3. Canonical Form of the Matrix of an Arbitrary Operator; 6.4. Elementary Divisors; 6.5. Further Implications; 6.6. The Real Jordan Canonical Form; *6.7. Spectra, Jets and Polynomials; *6.8. Operator Functions and Their Matrices; chapter 7 - BILINEAR AND QUADRATIC FORMS; 7.1. Bilinear Forms; 7.2. Quadratic Forms; 7.3. Reduction of a Quadratic Form to Canonical Form; 7.4. The Canonical Basis of a Bilinear Form; 7.5. Construction of a Canonical Basis by Jacobi's Method; 7.6. Adjoint Linear Operators

7.7. Isomorphism of Spaces Equipped with a Bilinear Form*7.8. Multilinear Forms; 7.9. Bilinear and Quadratic Forms in a Real Space; chapter 8 - EUCLIDEAN SPACES; 8.1. Introduction; 8.2. Definition of a Euclidean Space; 8.3. Basic Metric Concepts; 8.4. Orthogonal Bases; 8.5. Perpendiculars; 8.6. The Orthogonalization Theorem; 8.7. The Gram Determinant; 8.8. Incompatible Systems and the Method of Least Squares; 8.9. Adjoint Operators and Isometry; chapter 9 - UNITARY SPACES; 9.1. Hermitian Forms; 9.2. The Scalar Product in a Complex Space; 9.3. Normal Operators

9.4. Applications to Operator Theory in Euclidean Space

Sommario/riassunto

<DIV> <DIV>Covers determinants, linear spaces, systems of linear equations, linear functions of a vector argument, coordinate transformations, the canonical form of the matrix of a linear operator, bilinear and quadratic forms, Euclidean spaces, unitary spaces, quadratic forms in Euclidean and unitary spaces, finite-dimensional space. Problems with hints and answers.</DIV></DIV>