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Table of Contents
1. Introduction to Maxima
2. Bug Detection and Reporting
2.1 Functions and Variables for Bug Detection and Reporting
3. Help
3.1 Documentation
3.2 Functions and Variables for Help
4. Command Line
4.1 Introduction to Command Line
4.2 Functions and Variables for Command Line
4.3 Functions and Variables for Display
5. Data Types and Structures
5.1 Numbers
5.1.1 Introduction to Numbers
5.1.2 Functions and Variables for Numbers
5.2 Strings
5.2.1 Introduction to Strings
5.2.2 Functions and Variables for Strings
5.3 Constants
5.4 Functions and Variables for Constants
5.5 Lists
5.5.1 Introduction to Lists
5.5.2 Functions and Variables for Lists
5.5.3 Performance considerations for Lists
5.6 Arrays
5.7 Functions and Variables for Arrays
5.8 Structures
5.8.1 Introduction to Structures
5.8.2 Functions and Variables for Structures
6. Expressions
6.1 Introduction to Expressions
6.2 Nouns and Verbs
6.3 Identifiers
6.4 Inequality
6.5 Functions and Variables for Expressions
7. Operators
7.1 Introduction to operators
7.2 Arithmetic operators
7.3 Relational operators
7.4 Logical operators
7.5 Operators for Equations
7.6 Assignment operators
7.7 User defined operators
8. Evaluation
8.1 Functions and Variables for Evaluation
9. Simplification
9.1 Functions and Variables for Simplification
10. Mathematical Functions
10.1 Functions for Numbers
10.2 Functions for Complex Numbers
10.3 Combinatorial Functions
10.4 Root, Exponential and Logarithmic Functions
10.5 Trigonometric Functions
10.5.1 Introduction to Trigonometric
10.5.2 Functions and Variables for Trigonometric
10.6 Random Numbers
11. Maximas Database
11.1 Introduction to Maximas Database
11.2 Functions and Variables for Properties
11.3 Functions and Variables for Facts
11.4 Functions and Variables for Predicates
12. Plotting
12.1 Introduction to Plotting
12.2 Plotting Formats
12.3 Functions and Variables for Plotting
12.4 Plotting Options
12.5 Gnuplot Options
12.6 Gnuplot_pipes Format Functions
13. File Input and Output
13.1 Comments
13.2 Files
13.3 Functions and Variables for File Input and Output
13.4 Functions and Variables for TeX Output
13.5 Functions and Variables for Fortran Output
14. Polynomials
14.1 Introduction to Polynomials
14.2 Functions and Variables for Polynomials
15. Special Functions
15.1 Introduction to Special Functions
15.2 Bessel Functions
15.3 Airy Functions
15.4 Gamma and factorial Functions
15.5 Exponential Integrals
15.6 Error Function
15.7 Struve Functions
15.8 Hypergeometric Functions
15.9 Parabolic Cylinder Functions
15.10 Functions and Variables for Special Functions
16. Elliptic Functions
16.1 Introduction to Elliptic Functions and Integrals
16.2 Functions and Variables for Elliptic Functions
16.3 Functions and Variables for Elliptic Integrals
17. Limits
17.1 Functions and Variables for Limits
18. Differentiation
18.1 Functions and Variables for Differentiation
19. Integration
19.1 Introduction to Integration
19.2 Functions and Variables for Integration
19.3 Introduction to QUADPACK
19.3.1 Overview
19.4 Functions and Variables for QUADPACK
20. Equations
20.1 Functions and Variables for Equations
21. Differential Equations
21.1 Introduction to Differential Equations
21.2 Functions and Variables for Differential Equations
22. Numerical
22.1 Introduction to fast Fourier transform
22.2 Functions and Variables for fast Fourier transform
22.3 Functions for numerical solution of equations
22.4 Introduction to numerical solution of differential equations
22.5 Functions for numerical solution of differential equations
23. Matrices and Linear Algebra
23.1 Introduction to Matrices and Linear Algebra
23.1.1 Dot
23.1.2 Vectors
23.1.3 eigen
23.2 Functions and Variables for Matrices and Linear Algebra
24. Affine
24.1 Introduction to Affine
24.2 Functions and Variables for Affine
25. itensor
25.1 Introduction to itensor
25.1.1 New tensor notation
25.1.2 Indicial tensor manipulation
25.2 Functions and Variables for itensor
25.2.1 Managing indexed objects
25.2.2 Tensor symmetries
25.2.3 Indicial tensor calculus
25.2.4 Tensors in curved spaces
25.2.5 Moving frames
25.2.6 Torsion and nonmetricity
25.2.7 Exterior algebra
25.2.8 Exporting TeX expressions
25.2.9 Interfacing with ctensor
25.2.10 Reserved words
26. ctensor
26.1 Introduction to ctensor
26.2 Functions and Variables for ctensor
26.2.1 Initialization and setup
26.2.2 The tensors of curved space
26.2.3 Taylor series expansion
26.2.4 Frame fields
26.2.5 Algebraic classification
26.2.6 Torsion and nonmetricity
26.2.7 Miscellaneous features
26.2.8 Utility functions
26.2.9 Variables used by
ctensor
26.2.10 Reserved names
26.2.11 Changes
27. atensor
27.1 Introduction to atensor
27.2 Functions and Variables for atensor
28. Sums, Products, and Series
28.1 Functions and Variables for Sums and Products
28.2 Introduction to Series
28.3 Functions and Variables for Series
28.4 Introduction to Fourier series
28.5 Functions and Variables for Fourier series
28.6 Functions and Variables for Poisson series
29. Number Theory
29.1 Functions and Variables for Number Theory
30. Symmetries
30.1 Introduction to Symmetries
30.2 Functions and Variables for Symmetries
30.2.1 Changing bases
30.2.2 Changing representations
30.2.3 Groups and orbits
30.2.4 Partitions
30.2.5 Polynomials and their roots
30.2.6 Resolvents
30.2.7 Miscellaneous
31. Groups
31.1 Functions and Variables for Groups
32. Runtime Environment
32.1 Introduction for Runtime Environment
32.2 Interrupts
32.3 Functions and Variables for Runtime Environment
33. Miscellaneous Options
33.1 Introduction to Miscellaneous Options
33.2 Share
33.3 Functions and Variables for Miscellaneous Options
34. Rules and Patterns
34.1 Introduction to Rules and Patterns
34.2 Functions and Variables for Rules and Patterns
35. Sets
35.1 Introduction to Sets
35.1.1 Usage
35.1.2 Set Member Iteration
35.1.3 Authors
35.2 Functions and Variables for Sets
36. Function Definition
36.1 Introduction to Function Definition
36.2 Function
36.2.1 Ordinary functions
36.2.2 Array functions
36.3 Macros
36.4 Functions and Variables for Function Definition
37. Program Flow
37.1 Lisp and Maxima
37.2 Garbage Collection
37.3 Introduction to Program Flow
37.4 Functions and Variables for Program Flow
38. Debugging
38.1 Source Level Debugging
38.2 Keyword Commands
38.3 Functions and Variables for Debugging
39. alt-display
39.1 Introduction to alt-display
39.2 Functions and Variables for alt-display
40. asympa
40.1 Introduction to asympa
40.2 Functions and variables for asympa
41. augmented_lagrangian
41.1 Functions and Variables for augmented_lagrangian
42. Bernstein
42.1 Functions and Variables for Bernstein
43. bitwise
43.1 Functions and Variables for bitwise
44. bode
44.1 Functions and Variables for bode
45. celine
45.1 Introduction to celine
46. clebsch_gordan
46.1 Functions and Variables for clebsch_gordan
47. cobyla
47.1 Introduction to cobyla
47.2 Functions and Variables for cobyla
47.3 Examples for cobyla
48. contrib_ode
48.1 Introduction to contrib_ode
48.2 Functions and Variables for contrib_ode
48.3 Possible improvements to contrib_ode
48.4 Test cases for contrib_ode
48.5 References for contrib_ode
49. descriptive
49.1 Introduction to descriptive
49.2 Functions and Variables for data manipulation
49.3 Functions and Variables for descriptive statistics
49.4 Functions and Variables for statistical graphs
50. diag
50.1 Functions and Variables for diag
51. distrib
51.1 Introduction to distrib
51.2 Functions and Variables for continuous distributions
51.3 Functions and Variables for discrete distributions
52. draw
52.1 Introduction to draw
52.2 Functions and Variables for draw
52.2.1 Scenes
52.2.2 Functions
52.2.3 Graphic options
52.2.4 Graphics objects
52.3 Functions and Variables for pictures
52.4 Functions and Variables for worldmap
52.4.1 Variable and Functions
52.4.2 Graphic objects
53. drawdf
53.1 Introduction to drawdf
53.2 Functions and Variables for drawdf
53.2.1 Functions
54. dynamics
54.1 The dynamics package
54.2 Graphical analysis of discrete dynamical systems
54.3 Visualization with VTK
54.3.1 Scene options
54.3.2 Scene objects
54.3.3 Scene object's options
55. engineering-format
55.1 Functions and Variables for engineering-format
55.2 Known Bugs
56. ezunits
56.1 Introduction to ezunits
56.2 Introduction to physical_constants
56.3 Functions and Variables for ezunits
57. f90
57.1 Functions and Variables for f90
58. finance
58.1 Introduction to finance
58.2 Functions and Variables for finance
59. fractals
59.1 Introduction to fractals
59.2 Definitions for IFS fractals
59.3 Definitions for complex fractals
59.4 Definitions for Koch snowflakes
59.5 Definitions for Peano maps
60. ggf
60.1 Functions and Variables for ggf
61. graphs
61.1 Introduction to graphs
61.2 Functions and Variables for graphs
61.2.1 Building graphs
61.2.2 Graph properties
61.2.3 Modifying graphs
61.2.4 Reading and writing to files
61.2.5 Visualization
62. grobner
62.1 Introduction to grobner
62.1.1 Notes on the grobner package
62.1.2 Implementations of admissible monomial orders in grobner
62.2 Functions and Variables for grobner
62.2.1 Global switches for grobner
62.2.2 Simple operators in grobner
62.2.3 Other functions in grobner
62.2.4 Standard postprocessing of Groebner Bases
63. impdiff
63.1 Functions and Variables for impdiff
64. interpol
64.1 Introduction to interpol
64.2 Functions and Variables for interpol
65. lapack
65.1 Introduction to lapack
65.2 Functions and Variables for lapack
66. lbfgs
66.1 Introduction to lbfgs
66.2 Functions and Variables for lbfgs
67. lindstedt
67.1 Functions and Variables for lindstedt
68. linearalgebra
68.1 Introduction to linearalgebra
68.2 Functions and Variables for linearalgebra
69. lsquares
69.1 Introduction to lsquares
69.2 Functions and Variables for lsquares
70. minpack
70.1 Introduction to minpack
70.2 Functions and Variables for minpack
71. makeOrders
71.1 Functions and Variables for makeOrders
72. mnewton
72.1 Introduction to mnewton
72.2 Functions and Variables for mnewton
73. numericalio
73.1 Introduction to numericalio
73.1.1 Plain-text input and output
73.1.2 Separator flag values for input
73.1.3 Separator flag values for output
73.1.4 Binary floating-point input and output
73.2 Functions and Variables for plain-text input and output
73.3 Functions and Variables for binary input and output
74. operatingsystem
74.1 Introduction to operatingsystem
74.2 Directory operations
74.3 File operations
74.4 Environment operations
75. opsubst
75.1 Functions and Variables for opsubst
76. orthopoly
76.1 Introduction to orthogonal polynomials
76.1.1 Getting Started with orthopoly
76.1.2 Limitations
76.1.3 Floating point Evaluation
76.1.4 Graphics and
orthopoly
76.1.5 Miscellaneous Functions
76.1.6 Algorithms
76.2 Functions and Variables for orthogonal polynomials
77. ratpow
77.1 Functions and Variables for ratpow
78. romberg
78.1 Functions and Variables for romberg
79. simplex
79.1 Introduction to simplex
79.1.1 Tests for simplex
79.1.1.1 klee_minty
79.1.1.2 NETLIB
79.2 Functions and Variables for simplex
80. simplification
80.1 Introduction to simplification
80.2 Package absimp
80.3 Package facexp
80.4 Package functs
80.5 Package ineq
80.6 Package rducon
80.7 Package scifac
80.8 Package sqdnst
81. solve_rec
81.1 Introduction to solve_rec
81.2 Functions and Variables for solve_rec
82. stats
82.1 Introduction to stats
82.2 Functions and Variables for inference_result
82.3 Functions and Variables for stats
82.4 Functions and Variables for special distributions
83. stirling
83.1 Functions and Variables for stirling
84. stringproc
84.1 Introduction to String Processing
84.2 Input and Output
84.3 Characters
84.4 String Processing
84.5 Octets and Utilities for Cryptography
85. to_poly_solve
85.1 Functions and Variables for to_poly_solve
86. unit
86.1 Introduction to Units
86.2 Functions and Variables for Units
87. zeilberger
87.1 Introduction to zeilberger
87.1.1 The indefinite summation problem
87.1.2 The definite summation problem
87.1.3 Verbosity levels
87.2 Functions and Variables for zeilberger
87.3 General global variables
87.4 Variables related to the modular test
88. Error and warning messages
88.1 Error messages
88.1.1 part: fell off the end
88.1.2 undefined variable (draw or plot)
88.1.3 loadfile: failed to load <filename>
88.1.4 Only symbols can be bound
88.1.5 Out of memory
88.1.6 assignment: cannot assign to <function name>
88.1.7 apply: no such "list" element
88.1.8 incorrect syntax: , is not a prefix operator
88.1.9 makelist: second argument must evaluate to a number
88.1.10 incorrect syntax: Illegal use of delimiter )
88.1.11 VTK is not installed, which is required for Scene
88.2 Warning messages
88.2.1 Encountered undefined variable <x> in translation
88.2.2 Rat: replaced <x> by <y> = <z>
A. Comments of Translator
A.1 Translation Policies
A.2 About Terms in Japanese
B. Function and Variable Index
C. Documentation Categories
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