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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 Lisp and Maxima
3.2 Garbage Collection
3.3 Documentation
3.4 Functions and Variables for Help
4. Command Line
4.1 Introduction to Command Line
4.2 Functions and Variables for Command Line
5. Operators
5.1 nary
5.2 nofix
5.3 postfix
5.4 prefix
5.5 Arithmetic operators
5.6 Relational operators
5.7 General operators
6. Expressions
6.1 Introduction to Expressions
6.2 Complex
6.3 Nouns and Verbs
6.4 Identifiers
6.5 Strings
6.6 Inequality
6.7 Syntax
6.8 Functions and Variables for Expressions
7. Simplification
7.1 Functions and Variables for Simplification
8. Plotting
8.1 Introduction to Plotting
8.2 Plotting Formats
8.3 Functions and Variables for Plotting
8.4 Plotting Options
8.5 Gnuplot Options
8.6 Gnuplot_pipes Format Functions
9. Input and Output
9.1 Comments
9.2 Files
9.3 Functions and Variables for Input and Output
10. Floating Point
10.1 Functions and Variables for Floating Point
11. Contexts
11.1 Functions and Variables for Contexts
12. Polynomials
12.1 Introduction to Polynomials
12.2 Functions and Variables for Polynomials
13. Constants
13.1 Functions and Variables for Constants
14. Logarithms
14.1 Functions and Variables for Logarithms
15. Trigonometric
15.1 Introduction to Trigonometric
15.2 Functions and Variables for Trigonometric
16. Special Functions
16.1 Introduction to Special Functions
16.2 Bessel Functions
16.3 Airy Functions
16.4 Gamma and factorial Functions
16.5 Exponential Integrals
16.6 Error Function
16.7 Struve Functions
16.8 Hypergeometric Functions
16.9 Parabolic Cylinder Functions
16.10 Functions and Variables for Special Functions
17. Elliptic Functions
17.1 Introduction to Elliptic Functions and Integrals
17.2 Functions and Variables for Elliptic Functions
17.3 Functions and Variables for Elliptic Integrals
18. Limits
18.1 Functions and Variables for Limits
19. Differentiation
19.1 Functions and Variables for Differentiation
20. Integration
20.1 Introduction to Integration
20.2 Functions and Variables for Integration
20.3 Introduction to QUADPACK
20.3.1 Overview
20.4 Functions and Variables for QUADPACK
21. Equations
21.1 Functions and Variables for Equations
22. Differential Equations
22.1 Introduction to Differential Equations
22.2 Functions and Variables for Differential Equations
23. Numerical
23.1 Introduction to fast Fourier transform
23.2 Functions and Variables for fast Fourier transform
23.3 Introduction to Fourier series
23.4 Functions and Variables for Fourier series
24. Arrays
24.1 Functions and Variables for Arrays
25. Matrices and Linear Algebra
25.1 Introduction to Matrices and Linear Algebra
25.1.1 Dot
25.1.2 Vectors
25.1.3 eigen
25.2 Functions and Variables for Matrices and Linear Algebra
26. Affine
26.1 Introduction to Affine
26.2 Functions and Variables for Affine
27. itensor
27.1 Introduction to itensor
27.1.1 New tensor notation
27.1.2 Indicial tensor manipulation
27.2 Functions and Variables for itensor
27.2.1 Managing indexed objects
27.2.2 Tensor symmetries
27.2.3 Indicial tensor calculus
27.2.4 Tensors in curved spaces
27.2.5 Moving frames
27.2.6 Torsion and nonmetricity
27.2.7 Exterior algebra
27.2.8 Exporting TeX expressions
27.2.9 Interfacing with ctensor
27.2.10 Reserved words
28. ctensor
28.1 Introduction to ctensor
28.2 Functions and Variables for ctensor
28.2.1 Initialization and setup
28.2.2 The tensors of curved space
28.2.3 Taylor series expansion
28.2.4 Frame fields
28.2.5 Algebraic classification
28.2.6 Torsion and nonmetricity
28.2.7 Miscellaneous features
28.2.8 Utility functions
28.2.9 Variables used by
ctensor
28.2.10 Reserved names
28.2.11 Changes
29. atensor
29.1 Introduction to atensor
29.2 Functions and Variables for atensor
30. Series
30.1 Introduction to Series
30.2 Functions and Variables for Series
30.3 Poisson series
31. Number Theory
31.1 Functions and Variables for Number Theory
32. Symmetries
32.1 Introduction to Symmetries
32.2 Functions and Variables for Symmetries
32.2.1 Changing bases
32.2.2 Changing representations
32.2.3 Groups and orbits
32.2.4 Partitions
32.2.5 Polynomials and their roots
32.2.6 Resolvents
32.2.7 Miscellaneous
33. Groups
33.1 Functions and Variables for Groups
34. Runtime Environment
34.1 Introduction for Runtime Environment
34.2 Interrupts
34.3 Functions and Variables for Runtime Environment
35. Miscellaneous Options
35.1 Introduction to Miscellaneous Options
35.2 Share
35.3 Functions and Variables for Miscellaneous Options
36. Rules and Patterns
36.1 Introduction to Rules and Patterns
36.2 Functions and Variables for Rules and Patterns
37. Lists
37.1 Introduction to Lists
37.2 Functions and Variables for Lists
38. Sets
38.1 Introduction to Sets
38.1.1 Usage
38.1.2 Set Member Iteration
38.1.3 Bugs
38.1.4 Authors
38.2 Functions and Variables for Sets
39. Function Definition
39.1 Introduction to Function Definition
39.2 Function
39.2.1 Ordinary functions
39.2.2 Array functions
39.3 Macros
39.4 Functions and Variables for Function Definition
40. Program Flow
40.1 Introduction to Program Flow
40.2 Functions and Variables for Program Flow
41. Debugging
41.1 Source Level Debugging
41.2 Keyword Commands
41.3 Functions and Variables for Debugging
42. asympa
42.1 Introduction to asympa
42.2 Functions and variables for asympa
43. augmented_lagrangian
43.1 Functions and Variables for augmented_lagrangian
44. bode
44.1 Functions and Variables for bode
45. cobyla
45.1 Introduction to cobyla
45.2 Functions and Variables for cobyla
45.3 Examples for cobyla
46. contrib_ode
46.1 Introduction to contrib_ode
46.2 Functions and Variables for contrib_ode
46.3 Possible improvements to contrib_ode
46.4 Test cases for contrib_ode
46.5 References for contrib_ode
47. descriptive
47.1 Introduction to descriptive
47.2 Functions and Variables for data manipulation
47.3 Functions and Variables for descriptive statistics
47.4 Functions and Variables for statistical graphs
48. diag
48.1 Functions and Variables for diag
49. distrib
49.1 Introduction to distrib
49.2 Functions and Variables for continuous distributions
49.3 Functions and Variables for discrete distributions
50. draw
50.1 Introduction to draw
50.2 Functions and Variables for draw
50.2.1 Scenes
50.2.2 Functions
50.2.3 Graphics options
50.2.4 Graphics objects
50.3 Functions and Variables for pictures
50.4 Functions and Variables for worldmap
50.4.1 Variables and Functions
50.4.2 Graphic objects
51. drawdf
51.1 Introduction to drawdf
51.2 Functions and Variables for drawdf
51.2.1 Functions
52. dynamics
52.1 Introduction to dynamics
52.2 Functions and Variables for dynamics
53. ezunits
53.1 Introduction to ezunits
53.2 Introduction to physical_constants
53.3 Functions and Variables for ezunits
54. f90
54.1 Functions and Variables for f90
55. ggf
55.1 Functions and Variables for ggf
56. graphs
56.1 Introduction to graphs
56.2 Functions and Variables for graphs
56.2.1 Building graphs
56.2.2 Graph properties
56.2.3 Modifying graphs
56.2.4 Reading and writing to files
56.2.5 Visualization
57. grobner
57.1 Introduction to grobner
57.1.1 Notes on the grobner package
57.1.2 Implementations of admissible monomial orders in grobner
57.2 Functions and Variables for grobner
57.2.1 Global switches for grobner
57.2.2 Simple operators in grobner
57.2.3 Other functions in grobner
57.2.4 Standard postprocessing of Groebner Bases
58. impdiff
58.1 Functions and Variables for impdiff
59. implicit_plot
59.1 Functions and Variables for implicit_plot
60. interpol
60.1 Introduction to interpol
60.2 Functions and Variables for interpol
61. lapack
61.1 Introduction to lapack
61.2 Functions and Variables for lapack
62. lbfgs
62.1 Introduction to lbfgs
62.2 Functions and Variables for lbfgs
63. lindstedt
63.1 Functions and Variables for lindstedt
64. linearalgebra
64.1 Introduction to linearalgebra
64.2 Functions and Variables for linearalgebra
65. lsquares
65.1 Introduction to lsquares
65.2 Functions and Variables for lsquares
66. minpack
66.1 Introduction to minpack
66.2 Functions and Variables for minpack
67. makeOrders
67.1 Functions and Variables for makeOrders
68. mnewton
68.1 Introduction to mnewton
68.2 Functions and Variables for mnewton
69. numericalio
69.1 Introduction to numericalio
69.1.1 Plain-text input and output
69.1.2 Separator flag values for input
69.1.3 Separator flag values for output
69.1.4 Binary floating-point input and output
69.2 Functions and Variables for plain-text input and output
69.3 Functions and Variables for binary input and output
70. opsubst
70.1 Functions and Variables for opsubst
71. orthopoly
71.1 Introduction to orthogonal polynomials
71.1.1 Getting Started with orthopoly
71.1.2 Limitations
71.1.3 Floating point Evaluation
71.1.4 Graphics and
orthopoly
71.1.5 Miscellaneous Functions
71.1.6 Algorithms
71.2 Functions and Variables for orthogonal polynomials
72. plotdf
72.1 Introduction to plotdf
72.2 Functions and Variables for plotdf
73. romberg
73.1 Functions and Variables for romberg
74. simplex
74.1 Introduction to simplex
74.2 Functions and Variables for simplex
75. simplification
75.1 Introduction to simplification
75.2 Package absimp
75.3 Package facexp
75.4 Package functs
75.5 Package ineq
75.6 Package rducon
75.7 Package scifac
75.8 Package sqdnst
76. solve_rec
76.1 Introduction to solve_rec
76.2 Functions and Variables for solve_rec
77. stats
77.1 Introduction to stats
77.2 Functions and Variables for inference_result
77.3 Functions and Variables for stats
77.4 Functions and Variables for special distributions
78. stirling
78.1 Functions and Variables for stirling
79. stringproc
79.1 Introduction to string processing
79.2 Functions and Variables for input and output
79.3 Functions and Variables for characters
79.4 Functions and Variables for strings
80. unit
80.1 Introduction to Units
80.2 Functions and Variables for Units
81. zeilberger
81.1 Introduction to zeilberger
81.1.0.1 The indefinite summation problem
81.1.0.2 The definite summation problem
81.1.1 Verbosity levels
81.2 Functions and Variables for zeilberger
81.3 General global variables
81.4 Variables related to the modular test
82. Indices
A. Function and Variable Index
B. Documentation Categories
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