Mathematical and computational linguistics:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
München [u.a.]
LINCOM Europa
1999
|
| Series: | LINCOM handbooks in linguistics
9 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XII, XXV, 443 S. Ill., graph. Darst. |
| ISBN: | 3895866393 |
Staff View
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Record in the Search Index
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| adam_text | iv Hubey: Mathematical and Computational Linguistics
MATHEMATICAL AND
COMPUTATIONAL
LINGUISTICS
TABLE OF CONTENTS
TABLE OF CONTENTS iv
ACKNOWLEDGMENTS xi
PREFACE
0: INTRODUCTORY PRELIMINARIES 1
0.1. Continuous Nature of Speech 3
0.2. Functions and Mappings
0.3. Stochastic and Fuzzy Functions 6
0.4. Linear Operators, Relations, and Black Boxes
0.5. Discretization — Numerical and Closed form Solutions 13
0.6. Representation, Meaning, and Definition 16
0.7. Significance, Precision, Accuracy, and Error 20
0.8. Beads on a String 22
0.9. Discretization of Speech 23
0.10. Simple Discretization 25
0.11. Mappings, Functions, Perception, and Excessive Mentalism 29
0.12. Binary, Ternary, or Infinity 34
0.13. Universal Distinctive Features 36
Appendix 0.A Sets, Classes, Relations, and Functions 38
Phonemes, Allophones, Semantics, Orthography
Appendix 0.B Dialogue 47
Hubey: Mathematical and Computational Linguistics v
I: OPPOSITIONS, RELATIONS, GROUPS, AND LATTICES 77
1.1. Features, Binary Oppositions and Binary Relations 79
1.2. Simple Structures: 80
Semigroups, Monoids, Groups, Isomorphisms, and
Distances
1.3. More Complex Structures: 86
Partial Ordering, Posets, N cubes, Lattices, Hasse Diagram
1.4. Lattice of Vowels: 88
Cardinal Vowel Diagrams, Ladefoged s Modification,
Discrete Distance Metric, Trubetzkoy vowels
Appendix LA Number Systems and Codes 93
The Binary System, K maps, Gray codes
Appendix I.B Boolean Algebras 96
II: PRIVATE AND UNIVERSAL VOWEL SPACES 99
II. 1. Cycles, Distance, Linear Ordering, and Hilbert Curves, 101
11.2. Bloch and Trager Private Spaces 103
11.3. Chomsky Halle Private Spaces 104
11.4. Complement of a Graph 105
11.5. Pure Vowels in 3 D 107
11.6. Discrete Universal Spaces 109
11.7. Karnaugh Maps and Finnish Vowels 110
11.8. American English Vowels 115
11.9. Other Spaces Stanford Phonology Archive 116
11.10. Binarity and Simplicity 118
vi Hubey: Mathematical and Computational Linguistics
III: COMPOUND VOWELS, DIPHTHONGS, AND VECTORS 119
III. 1. Vector Spaces and Phonemes 121
111.2. Time Domain Compositions Diphthongs and Glides 124
111.3. Diphthong = Vowel + Vowel 126
111.4. Diphthong = Vowel + Semivowel 127
III. 5. Vectors and Dependency Phonology 129
111.6. Trubetzkoy and Stevens 132
111.7. Nonorthogonality of Features and Fant 133
IV: SPECTRAL DOMAIN DESCRIPTIONS 135
IV. 1. Time domain Signals 137
IV.2. Frequency Domain Descriptions 138
IV.3. Power Spectrum, Noise, and Autocorrelation 138
IV.4. Source and Filter 139
IV.5. Formant Functions and Approximations 139
IV.6 Diphthongs and Glides 140
IV.7. Compound Vowels 141
IV.8. Orthographic Projection of the Vocalic Phonemes of a 142
Generic Language
IV.9. Formant Functions Again 143
IV. 10. Formant Plots and Their Description 146
IV. 11. Summary of Results 149
IV. 12. Further Refinements of the Method 150
IV. 13. The Formant Plots 154
IV.14. Nonlinearity, Quantality, and Catastrophe Theory 159
IV. 15. Nonlinear Differential Equations and Quantality in Phonetics 162
Appendix IV.A: Fourier Analysis 166
Appendix IV.B: Convolution, Correlation, Spectral Density 171
Appendix IV.C Ordinary Linear Differential Equations 184
Hubey: Mathematical and Computational Linguistics vii
Appendix IV.D Orthogonal Functions 186
Appendix IV.E: Other Normalizations 188
Appendix IV.F Exponential Formant Approximations 193
V: 3 D VECTOR PHASE SPACE FOR SPEECH 197
V.I. Properties of Consonants 200
V.2. Towards a Space 201
V.3. Consonant Vector Space 203
V.4. Dimensional Analysis and Buckingham Pi Theorem 203
V.5. Natural Groupings 207
V.6. Path Integrals and Minimization 212
V.7. Acoustic and Auditory Correlates in the Phase Space 214
V.8. Phones, Phonemes and Allophones 215
V.9. Sonority, Lenition, Fortition 217
V.10. Child Language Development and Aphasia 221
V. 11. Vowels in Phase Space 224
V. 12. Distance and Birth of New Phonemes 227
V.13. Experimental Evidence from Diphthongs 228
V.14. Implications for Phonological Space 229
V.15. The Ordinal Vowel Cube 230
V.16. Sonority Scales 232
V.17. Vector Representation 233
V.18. Dynamic Stochastic Processes and Speech Realization 234
V.19. Forced Binary Discrimination Tests and Probability Theory 237
V.20. The Ambiguity Function: Another Interpretation 240
V.21. Entropy, Uncertainty, and Information Theory 243
V.22. Fuzzy Sets and Catastrophe Theory 245
V.23. Fuzzy Functions for Multiple Discriminations along a Single 248
Stimulus
V.24. Binary Discriminations for Multiple Stimuli and Stochastic 250
Processes
Appendix V.A Dimensional Analysis 252
viii Hubey: Mathematical and Computational Linguistics
VI: UPPER LEVEL METRICS FOR LANGUAGES 263
VI. 1. Consonant Clusters 265
VI.2. Turkish Vowel Harmony 267
VI.3. Grammar for Transitions 268
VI.4. Turkish Syllabification 269
VI.5. Word Level Measure 271
VI.6. Topology of Vowel Spaces of Languages 272
Examples from Arabic, English, Chinese, French,
German, Italian, Latin, Sanskrit, Irish and Tamil
VI.7. Word Formation Rules and Borrowing 280
VI.8. Residues of Languages and Distance Functions 284
Sprachbiinde and Sprachfamilien.
VI.9. Propagation, Waves and Diffusion of Innovation 286
VI. 10. Semitic Word Formation Examples 288
VII: MULTIDIMENSIONAL INHERITANCE 289
VII. 1. Temporal and Spatial Scaling 291
VII.2. Time Complexity vs Space Complexity — 294
Compute vs Memory Bound Processes
VII.3. Order of Magnitude and Complexity 301
VII.4. Intensive and Extensive Parameters 301
VII.5. Measurement Scales: Absolute and Relative Measures 304
VII.6. Stability, Relaxation Time and Correlation Time 305
VII.7. Process vs State 307
VII.8. Open Systems vs Closed Systems 312
VII.9. Time Scales and Linguistics 312
VII. 10 Word Orders and Artificial Non natural Languages 328
VII. 11. Prehistoric Times and Language 330
VII.12. Change: Is it infinite? 334
Hubey: Mathematical and Computational Linguistics ix
VII. 13. Family Trees 338
VII. 14. Distance Functions 341
VII. 15. Matching Lexemes and Semantemes 347
VII. 16. Dynamic Stochastic Processes and Language 356
VII. 17. Hierarchical Systems, Layers, and Complex Systems 362
VII. 18. Summary 367
Appendix VILA Cognates or Not 374
Appendix VII.B: Differential Equations 378
Initial Value Problems, Stability and Equilibrium, Static vs
Dynamic Equilibrium (Steady State)
Appendix VII.C Stochastic Processes 380
Randomness, Mass and Density Functions, Averaging,
Stochastic Differential Equations, Stationarity
VIII: PHONOLOGY, MORPHOLOGY, AND SYNTAX 387
VIII.O. Modularity 389
VIII. 1. Upper Level Syntactic Structure of the World s Languages 389
VIII.2. Permutations, Reflections, and Rotations 390
VIII.3. Same Set Permutations 392
VIII.4. Tree Traversals and Permutation Groups 395
VIII.5. Phonology and Morphology 397
VIII.6. Postfixing Morphology and Morphophonology 400
VIII.7. Premorphing Languages and Phonology 403
VIII.8. Transformational Grammar and the H operators 405
VIII.9. Infixing and Erase and Replace 405
VIII. 10. Combined Inmorphing and Endmorphing 407
VII. 11. Indonesian and German 409
VIII. 12. Simplicity Metric 410
Appendix VIII.A: String Quasi Algebra 411
X Hubey: Mathematical and Computational Linguistics
IX: SYNTACTIC AND SEMANTIC 415
STRUCTURE OF NEAR NATURAL LANGUAGES
IX. 1. Prologue 417
IX.2. Graphs 417
IX.3. Binary Trees and Their Growth Patterns 418
IX.4. Trees and Tree Traversal 419
IX.5. Operands, Operators and Operations 420
IX.6. Formal Language Theory 421
IX.7. Another Kind of Space for Sentences 423
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| spelling | Hubey, Haci-Murat Mark Verfasser aut Mathematical and computational linguistics H. Mark Hubey München [u.a.] LINCOM Europa 1999 XII, XXV, 443 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier LINCOM handbooks in linguistics 9 Computerlinguïstiek gtt Mathematische linguïstiek gtt Computational linguistics Mathematical linguistics Mathematische Linguistik (DE-588)4037950-4 gnd rswk-swf Computerlinguistik (DE-588)4035843-4 gnd rswk-swf Mathematische Linguistik (DE-588)4037950-4 s DE-604 Computerlinguistik (DE-588)4035843-4 s LINCOM handbooks in linguistics 9 (DE-604)BV010756322 9 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008700805&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Hubey, Haci-Murat Mark Mathematical and computational linguistics LINCOM handbooks in linguistics Computerlinguïstiek gtt Mathematische linguïstiek gtt Computational linguistics Mathematical linguistics Mathematische Linguistik (DE-588)4037950-4 gnd Computerlinguistik (DE-588)4035843-4 gnd |
| subject_GND | (DE-588)4037950-4 (DE-588)4035843-4 |
| title | Mathematical and computational linguistics |
| title_auth | Mathematical and computational linguistics |
| title_exact_search | Mathematical and computational linguistics |
| title_full | Mathematical and computational linguistics H. Mark Hubey |
| title_fullStr | Mathematical and computational linguistics H. Mark Hubey |
| title_full_unstemmed | Mathematical and computational linguistics H. Mark Hubey |
| title_short | Mathematical and computational linguistics |
| title_sort | mathematical and computational linguistics |
| topic | Computerlinguïstiek gtt Mathematische linguïstiek gtt Computational linguistics Mathematical linguistics Mathematische Linguistik (DE-588)4037950-4 gnd Computerlinguistik (DE-588)4035843-4 gnd |
| topic_facet | Computerlinguïstiek Mathematische linguïstiek Computational linguistics Mathematical linguistics Mathematische Linguistik Computerlinguistik |
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