MAXIMA Quick References

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adjoint allroots binomial determinant diff expand ezunits factor fourier-transform fourier-transform-periodic-rectangular fourier-transform-periodic-sawtooth fourier-transform-plane-square fourier-transform-pulse-cos fourier-transform-pulse-unit-impulse gamma hermite ilt ilt-unit-impulse implicit-plot integrate invert laplace legendrep nusum ode2 partfrac physical-constants plot-bode-gain plot-bode-phase plot-nyquist plot2d-parametric-asteroid plot2d-polar-archimedean-spiral plot3d plot3d-Klein-bottle plot3d-Moebius-band plot3d-julia-set plot3d-mandelbrot-set plot3d-sphere plot3d-torus quantile_normal random residue romberg solve spherical-harmonic taylor test-mean test-normality test-variance-ratio totalfourier trigexpand trigreduce

8/12/19

plot3d, fractals, mandelbrot set

maxima maxima_plot3d-mandelbrot-set

Posted by ix86org at 4:29 PM

Labels: plot3d-mandelbrot-set

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Maxima is a Computer Algebra System.

Trigonometric
TRIGEXPAND ... Trigonometric Expansion
TRIGREDUCE ... Combines products and powers of trigonometric and hyperbolic

EXPAND ... Expand expression
FACTOR ... Factor
PARTFRAC ... Expansion into Partial Fractions
RESIDUE ... Residue
TAYLOR ... Taylor Expansion
NUSUM ... Indefinite Hypergeometric Summation

ALLROOTS ... Numerical Approximations of the real and complex Roots of the Polynomial
SOLVE ... Solves the Algebraic Equation

DIFF ... Derivative or Differential of Functions
INTEGRATE ... Integration
ROMBERG ... Numerical Integration by Romberg's Method
ODE2 ... Solution of an ordinary differential equation (ODE) of first or second order

Fourier Series Expansion
TOTALFOURIER ... Fourier Series Expansion

Fourier Transform
(pulse)
Fourier transform - unit impulse
Fourier transform - cosine pulse
(periodic function)
Fourier transform
Fourier transform - rectangular
Fourier transform - sawtooth

Laplace Tranceform
LAPLACE ... Laplace Tranceform
ILT ... Inverse Laplace Tranceform

Special Functions
GAMMA ... Gamma Function

Matrix
ADJOINT ... Adjoint of a Matrix
DETERMINANT ... Determinant of a Matrix
INVERT ... Invert of a Matrix

RANDOM ... Random Number Generation
BINOMIAL ... Binomial Coefficient

HELMITE ... Hermite polynomials
LEGENDREP ... Legendre polynomials
SPHERICAL_HARMONIC ... Spherical harmonics

plot 2D - polar
PLOT2D - Archimedean spiral ... t

plot 2D - parametric
PLOT2D - Asteroid ... (cos(t))^3, (sin(t))^3

plot 3D
PLOT3D
PLOT3D - SPHERE
PLOT3D - TORUS
PLOT3D - Moebius band
PLOT3D - Klein bottle

plot fractals
PLOT3D - mandelbrot set
PLOT3D - julia set

IMPLICIT PLOT

Bode Plot
Bode Diagram Plotting / GAIN
Bode Diagram Plotting / PHASE
Nyquist Diagram Plotting

Conversion of Units
Physical Constants

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References

Maxima, a Computer Algebra System
https://maxima.sourceforge.io/

adjoint allroots binomial determinant diff expand ezunits factor fourier-transform fourier-transform-periodic-rectangular fourier-transform-periodic-sawtooth fourier-transform-plane-square fourier-transform-pulse-cos fourier-transform-pulse-unit-impulse gamma hermite ilt ilt-unit-impulse implicit-plot integrate invert laplace legendrep nusum ode2 partfrac physical-constants plot-bode-gain plot-bode-phase plot-nyquist plot2d-parametric-asteroid plot2d-polar-archimedean-spiral plot3d plot3d-Klein-bottle plot3d-Moebius-band plot3d-julia-set plot3d-mandelbrot-set plot3d-sphere plot3d-torus quantile_normal random residue romberg solve spherical-harmonic taylor test-mean test-normality test-variance-ratio totalfourier trigexpand trigreduce

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