Mathematical foundations of linguistics:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
München [u.a.]
LINCOM Europa
1999
|
| Schriftenreihe: | LINCOM handbooks in linguistics
10 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | 269 S. Ill., graph. Darst. |
| ISBN: | 3895866415 |
Internformat
MARC
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| 245 | 1 | 0 | |a Mathematical foundations of linguistics |c H. Mark Hubey |
| 264 | 1 | |a München [u.a.] |b LINCOM Europa |c 1999 | |
| 300 | |a 269 S. |b Ill., graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
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| 999 | |a oai:aleph.bib-bvb.de:BVB01-008685356 | ||
Datensatz im Suchindex
| _version_ | 1804127440786685952 |
|---|---|
| adam_text | Table
1.
Layering
Numerals, Multiplication, Constants and Variables
Summañon—
Zeno
Continuous Products
Decision Trees, Prisoner s Dilemma
CPM/PERT Methods
2.
Algorithmic Definition of Integers
Parallel and Serial Choices
Multiplicative
Strong vs. Long Chain Trade-off
Recursion/Iteration and Solution of a Nonlinear Equation
Programming Charts
Learning Iteration
Frequency vs. Wavelength
3.
Product, Series
Logical-AND Rule
4.
Dimensionless Numbers
Mass vs. Surface Area
5.
Grade Normalization, Boxing Normalization
Extensive vs. Intensive Variables
Gymnastics
Boyle s Law and Charles s Law
Color Space
Torque
Brain and Body Mass
6.
Significant Digits
Paleontology
7.
Ratio Scale
Distance
Hamming Distance
Phonological Distance
Vowels and Consonants- Ordinal Cube
What s a Bird?
Interval
Temperature Scale
Ordinal Scale
Likért
Nominal Scale
Sets, and Categorization
8.
Languages
Cardinality, Empty Set
Union, Intersection, Partition, Power Set, Complement, Difference
Characteristic Bitstrings (functions)
9.
Subgraphs, Unions
Graph Representation: Incidence, Adjacency,
Degree, Paths, Digraphs
Hypercubes, Complete Graphs, Bipartite Graphs
Multiple Comparisons of Historical Linguistics
Representation: Incidence and Adjacency Matrices
Euler
10.
Cartesian Products, Vectors, Matrices, Tensors
Matrix Multiplication
Zero-One Matrices, Toeplitz matrices
Markov Matrices, Leontieff Matrices, Phonotactics Matrices
Rotation Matrices of Computer Graphics
Sonority Scale and Vectors
Venn Diagrams (Set Independence?)
11.
Arithmetic
Language Capability
Substitutes and complements
Intelligence Theory and Testing
12.
Infinity Arithmetic
Electrical Circuits and Infinity
Parallel Circuits vs. Series Circuits
XOR, EQ
Representation of Integers
Hamming Distance and XOR
Phoneme Maps
13.
Implication
Hempel s Raven paradox
Paradoxes of Logic
Rules of Inference
Fallacies
Integers: Division Algorithm
Divisibility
Fundamental Theorem of Arithmetic
gcd, and
Mod,
Congruence Mod
Pseudo-Random Number Generators
Caesar Cipher, ROT13, Comparative Method
Fuzzy Logic
Appendix: Axiomatizations of Logic
14.
Syllogisms
Continuous Products
Predicates
Quantification of Two Variables
Mathematical Induction
Time-Space Super-Liar Paradox
15.
Reflexive, Symmetric, Anti-symmetric, Transitive relations
Representation of Relations
Set-theoretic representation
Matrix-representation
Graph-theoretic representation
16.
Composition of Relations—associative operation
Powers of Matrices of Relations
Equivalence Relation
Inverses
Operators and Operands (see Chapter
17.
Hasse
Lattices, Subsets
18.
One-to-One Functions
Onto Functions
One-to-one correspondence
Function Inverse
Graph Isomorphism
Minimal Spanning Trees
Family Trees
Cladistics
Genetic
Vector
Distances on Vectors, Weighted Distances
Intelligence Measurement
Systems of Equations
19.
Big-0 notation
20.
Axioms
Invariants of Logic
Continuous Logics
Generalized Idempotent and Continuous
21.
Pigeonhole Principle
Sound Changes
Permutations
Combinations
Words, Subsets, Sentences, Constrained Sentences
Queues, Books, Phonotactics, Length constraints
Distributing Objects to Containers
Vervet
Distribution of Meanings
Pascal s Identity, Vandermonde s Identity, Binomial Theorem
Inclusion-Exclusion Theorem
False Cognacy Problem
22.
23.
Linear homogeneous first-order difference equation
Fibonacci Series
False Cognacy Problem
Coupled Difference Equations
Bitstrings and Polynomials
Poly a s
24.
Real Human Languages
Finite State Automata and Regular Languages
Context-Free Languages
Context-Sensitive Languages and Natural Languages
25. Simple
Rates
Integration
26.
Addition Theorem
Multiplication Theorem
Independence And Conditional Probability
27.
28.
29.
Linear Operators
Commutativity
Integration and Differentiation
30.
Histogram
Correlation-Regression
31.
Expectation and Moments
32.
Uniform
Geometric
Binomial
Hypergeometric
Poisson
Birthday Problem
33.
Uniform
Exponential
Gamma Density and Chi-Square Density
Gaussian Density and the Central Limit Theorem
34.
35.
Stationarity
Markov Processes
Chapman-Kolmogorov Equations
Speech Recognition
Random Walk
36.
Delta
Fourier Series and Fourier Transform
37.
Complete solution of the First Order Linear
Carbon Dating
Menzerath s Law
Altmann
Damped Harmonic Oscillator
38.
Stationarity
Ensemble Correlation Functions
Time Averages and Ergodicity
39.
40.
Example of Word Production in a Language
Stochastic Excitation of the DHO
41.
Generalization of the Random Walk
Replacement of a General Process by a Markov Process
Appendices
Calculation of some integrals
References
10
|
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| illustrated | Illustrated |
| indexdate | 2024-07-09T18:33:23Z |
| institution | BVB |
| isbn | 3895866415 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-008685356 |
| oclc_num | 260053737 |
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| physical | 269 S. Ill., graph. Darst. |
| publishDate | 1999 |
| publishDateSearch | 1999 |
| publishDateSort | 1999 |
| publisher | LINCOM Europa |
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| series | LINCOM handbooks in linguistics |
| series2 | LINCOM handbooks in linguistics |
| spelling | Hubey, Haci-Murat Mark Verfasser aut Mathematical foundations of linguistics H. Mark Hubey München [u.a.] LINCOM Europa 1999 269 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier LINCOM handbooks in linguistics 10 Mathematische Linguistik (DE-588)4037950-4 gnd rswk-swf Mathematische Linguistik (DE-588)4037950-4 s DE-604 LINCOM handbooks in linguistics 10 (DE-604)BV010756322 10 Digitalisierung UB Regensburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008685356&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Hubey, Haci-Murat Mark Mathematical foundations of linguistics LINCOM handbooks in linguistics Mathematische Linguistik (DE-588)4037950-4 gnd |
| subject_GND | (DE-588)4037950-4 |
| title | Mathematical foundations of linguistics |
| title_auth | Mathematical foundations of linguistics |
| title_exact_search | Mathematical foundations of linguistics |
| title_full | Mathematical foundations of linguistics H. Mark Hubey |
| title_fullStr | Mathematical foundations of linguistics H. Mark Hubey |
| title_full_unstemmed | Mathematical foundations of linguistics H. Mark Hubey |
| title_short | Mathematical foundations of linguistics |
| title_sort | mathematical foundations of linguistics |
| topic | Mathematische Linguistik (DE-588)4037950-4 gnd |
| topic_facet | Mathematische Linguistik |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008685356&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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