Kooperativer Bibliotheksverbund

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Format: 1 online resource (269 p.)

ISBN: 1-283-52558-5 , 9786613838032 , 0-08-095536-3

Series Statement: Mathematics in science and engineering ; v. 29

Content: 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 interpolation; methods of system representation subject to constraints associated with concepts of causality, memory and stationarity; methods of system representation with an accuracy that is the best within a given class of models; methods of covariance matrix estimation;methods for low-rank

Note: Description based upon print version of record. , Front Cover; Algebraic Linguistics; Analytical Models; Copyright Page; Contents; Preface; Chapter I. Languages and Partitions; 1. Languages and Grammars; 2. Enriching the Structure of a Language; 3. The Notion of Natural Language; 4. Distribution; 5. P-Structures; Derivative of a Partition; 6. P-Domination and Some of Its Properties; 7. Comparable Partitions with the Same Derivative; 8. Partitions with the Same Derivative; 9. Conditions That a Partition Be a Derivative; 10. Mixed Cells; Union and Intersection of Two Partitions; 11. Classes and Their Structure , 12. Partitions of the Free Semigroup Generated by ?13. Bibliographic Remarks; References; Chapter II. Linguistic Typology; 1. Adequate Languages; 2. Homogeneous Languages; 3. Various Types of Homogeneous Languages; 4. Completely Adequate Languages; 5. Other Types of Adequate Languages; 6. Various Types of Linguistic Isomorphism; 7. Some Characteristics of Finite-State Languages; 8. Some Applications to Natural Languages; 9. Bibliographic Remarks; References; Chapter III. Parts of Speech and Syntactic Types; 1. Introduction; 2. Parts of Speech as Cells of the Derivative Partition P' , 3. Grammaticality4. Linguistic Explanation of the Model of Part of Speech; 5. Parts of Speech in Adequate and in Homogeneous Languages; 6. Syntactic Types; 7. Analysis of the English Verb Phrase; 8. The Associative Syntactic Calculus; 9. Nonassociative Syntactic Calculus; 10. Categorial Grammars; References; Chapter IV. Grammatical Gender; 1. Introduction; 2. From the Natural to the Grammatical Gender; 3. Grammatical Genders in Natural Languages; 4. Mathematical Models of Grammatical Gender; 5. Grammatical Genders in Homogeneous Languages; 6. Categories in the Sense of Revzin , 7. Subparadigms and Subfamilies8. A Measure of the Difference between Genders; 9. Personal Genders in Rumanian; References; Chapter V. Configurations; 1. Introduction; 2. P-Configurations and P-Structures of Order n; 3. The P-Configuration and the P-Structure Language Types of Language; 4. Examples of E-Configurations; 5. Removal of Parasitic Elements; 6. Semiregular P-Configurations; 7. Normal P-Configurations, Dependencies, and Constituents; 8. P-Configurations, P-Structures, and Regularly Finer Partitions; 9. Configurations in the Sense of Gladkii , 10. Gladkii Configurations and Generative Grammars11. Quasi-Configurations and Syntagms; 12. Final Remarks; References; Chapter VI. Subordination and Projectivity; 1. Introduction; 2. Some Notions and Results concerning Graph Theory; 3. Simple Strings and Proper Trees; 4. An Axiomatic Description of Simple Strings; 5. Elementary Strings and Operations with Simple Strings; 6. Subordination in the Sense of Nebeský; 7. Various Types of Projectivity. Properties of Montonically Projective Strings; 8. Relations between Various Types of Projectivity; 9. Projectivity in Natural Languages , 10. Simple Projective Strings , English

Additional Edition: ISBN 0-12-470850-1

Language: English

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Format: Online Ressource (xi, 254 pages)

Edition: Online-Ausg. [S.l.] HathiTrust Digital Library Online-Ausg. [S.l.] : HathiTrust Digital Library

ISBN: 9780080955360 , 0080955363 , 0124708501 , 9780124708501

Series Statement: Mathematics in science and engineering v. 29

Content: Languages and partitions -- Linguistics typology -- Parts of speech and syntactic types -- Grammatical gender -- Configurations -- Subordination and projectivity

Note: Includes bibliographical references and index. - Print version record , Print version record , Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002 , Front Cover; Algebraic Linguistics; Analytical Models; Copyright Page; Contents; Preface; Chapter I. Languages and Partitions; 1. Languages and Grammars; 2. Enriching the Structure of a Language; 3. The Notion of Natural Language; 4. Distribution; 5. P-Structures; Derivative of a Partition; 6. P-Domination and Some of Its Properties; 7. Comparable Partitions with the Same Derivative; 8. Partitions with the Same Derivative; 9. Conditions That a Partition Be a Derivative; 10. Mixed Cells; Union and Intersection of Two Partitions; 11. Classes and Their Structure , 12. Partitions of the Free Semigroup Generated by ?13. Bibliographic Remarks; References; Chapter II. Linguistic Typology; 1. Adequate Languages; 2. Homogeneous Languages; 3. Various Types of Homogeneous Languages; 4. Completely Adequate Languages; 5. Other Types of Adequate Languages; 6. Various Types of Linguistic Isomorphism; 7. Some Characteristics of Finite-State Languages; 8. Some Applications to Natural Languages; 9. Bibliographic Remarks; References; Chapter III. Parts of Speech and Syntactic Types; 1. Introduction; 2. Parts of Speech as Cells of the Derivative Partition P' , 3. Grammaticality4. Linguistic Explanation of the Model of Part of Speech; 5. Parts of Speech in Adequate and in Homogeneous Languages; 6. Syntactic Types; 7. Analysis of the English Verb Phrase; 8. The Associative Syntactic Calculus; 9. Nonassociative Syntactic Calculus; 10. Categorial Grammars; References; Chapter IV. Grammatical Gender; 1. Introduction; 2. From the Natural to the Grammatical Gender; 3. Grammatical Genders in Natural Languages; 4. Mathematical Models of Grammatical Gender; 5. Grammatical Genders in Homogeneous Languages; 6. Categories in the Sense of Revzin , 7. Subparadigms and Subfamilies8. A Measure of the Difference between Genders; 9. Personal Genders in Rumanian; References; Chapter V. Configurations; 1. Introduction; 2. P-Configurations and P-Structures of Order n; 3. The P-Configuration and the P-Structure Language Types of Language; 4. Examples of E-Configurations; 5. Removal of Parasitic Elements; 6. Semiregular P-Configurations; 7. Normal P-Configurations, Dependencies, and Constituents; 8. P-Configurations, P-Structures, and Regularly Finer Partitions; 9. Configurations in the Sense of Gladkii , 10. Gladkii Configurations and Generative Grammars11. Quasi-Configurations and Syntagms; 12. Final Remarks; References; Chapter VI. Subordination and Projectivity; 1. Introduction; 2. Some Notions and Results concerning Graph Theory; 3. Simple Strings and Proper Trees; 4. An Axiomatic Description of Simple Strings; 5. Elementary Strings and Operations with Simple Strings; 6. Subordination in the Sense of Nebeský; 7. Various Types of Projectivity. Properties of Montonically Projective Strings; 8. Relations between Various Types of Projectivity; 9. Projectivity in Natural Languages , 10. Simple Projective Strings , Online-Ausg. [S.l.] : HathiTrust Digital Library , Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002.

Additional Edition: ISBN 0124708501

Additional Edition: Erscheint auch als Druck-Ausgabe Marcus, Solomon Algebraic linguistics; analytical models New York, Academic Press, 1967

Language: English

Keywords: Electronic books ; Electronic books

URL: Volltext  (lizenzpflichtig)

URL: Volltext

URL: lizenzpflichtig

Author information: Marcus, Solomon 1925-2016

UID:

Format: XI, 254 S. , graph. Darst. , 8°

ISBN: 0124708501

Series Statement: Mathematics in science and engineering 29

Language: English

Subjects: Comparative Studies. Non-European Languages/Literatures , Mathematics , Philosophy

Keywords: Linguistik ; Mengenlehre ; Linguistik ; Linguistik ; Mengenlehre

URL: Inhaltsverzeichnis

Author information: Marcus, Solomon 1925-2016

UID:

Format: XI, 254 S. , graph. Darst.

ISBN: 0124708501

Series Statement: Mathematics in science and engineering 29

Language: Undetermined

Keywords: Linguistik ; Mengenlehre ; Linguistik ; Algebra ; Mathematische Linguistik ; Formale Sprache

Author information: Marcus, Solomon 1925-2016