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exp-BoatGo.lisp
Drug smuggler boat path
exp-ClassicOptAckley.lisp
Analysis of the classic Rosenbrock banana optimization test function.
exp-ClassicOptBanana.lisp
Analysis of the classic Rosenbrock banana optimization test function.
exp-ClassicOptBeale.lisp
Analysis of the classic Beale optimization test function.
exp-ClassicOptFreudensteinRoth.lisp
Analysis of the classic Freudenstein-Roth optimization test function.
exp-CLT.lisp
Theoretical family of probability distributions of sums of an input PDF represented as a historgram.
exp-compareComplexFunction.lisp
Compare the value of a function in Maxima vs on in MJRCALC.
exp-ComplexFunctionViz.lisp
Complex function visualization via VTK files.
exp-dXXXX.lisp
Example for :MJR_DQUAD.
exp-Euler.lisp
Solutions to Project Euler Problems.
exp-FixedPointItr.lisp
Some :MJR_NLEQ examples.
exp-Gravity2D.lisp
Demonstrate the danger of assuming everything is a sphere in gravity problems.
exp-Gravity3D.lisp
Difference between two gravitational systems with the same total mass.
exp-IntFactors.lisp
For the integers n in [1,72], list the first integer such that it has n unique divisors.
exp-IntrpMitch.lisp
Error Interpolating Runge's Function with Mitch Nodes of the First Kind vs Chebyshev Nodes.
exp-IntrpRunge.lisp
Demonstrate how adding more interpolation poitns may lead to worse fit.
exp-Kepler.lisp
Draw Newton-like fractal and output to a TGA file.
exp-Life.lisp
Read in a life RLE file, and iterate (dumping a TGA at each step) until the pattern cycles.
exp-MandelbrotOrbit.lisp
Compute Mandelbrot set, and dump it to a TGA file using unique coloring scheme.
exp-MandelbrotPot.lisp
Draw the potential of the mandelbrot set.
exp-MandelbrotTGA.lisp
Compute Mandelbrot set, and dump it to a TGA file using a nice pallet.
exp-MandelbrotVTK.lisp
Draw the Mandelbrot set, and save it as a VTK file.
exp-marsden-ch3sec3ex17.lisp
Solving a vector calculus problem.
exp-Newton.lisp
Draw Newton fractal and output to a TGA file.
exp-Newton2.lisp
Modified Newton's method fractals colored with the arg of the 20'th iterate.
exp-ODEalgCmp.lisp
Solve a simple ODE, and plot the results.
exp-ODEcannon.lisp
Cannon shot simulation.
exp-ODEcircle.lisp
Example of an ODE plot.
exp-ODElorenzDEQ.lisp
Compute (with :MJR_ODE) and draw the Lorenz strange attracter.
exp-ODElorenzEuler.lisp
Compute and draw the Lorenz strange attracter without :MJR_ODE..
exp-ODEpopulationCompete.lisp
Plot the direction field for an ODE of two competing populations.
exp-ODErossler.lisp
Compute the Rossler strange attracter.
exp-ODEthreeBody.lisp
A famous 3-body problem.
exp-OrthoPolys.lisp
Draw several sets of orthogonal polynomials.
exp-PiPrime.lisp
Find primes who's quotient approximates pi. We want the smallest primes for any given accuracy.
exp-PiRandom.lisp
Approximate pi with random numbrs.
exp-PolyLegendreRoots.lisp
Compute the nodes for Gauss-Legendre integration with high accuracy.
exp-PovGraphs.lisp
Some graphs with Povray – using general p.pov-like code.
exp-PovMixRes.lisp
How to draw a surface with a grid at one scale, and lines at another.
exp-PovWaveGraph.lisp
Generate a height field TGA and image map TGA file for a PovRay render.
exp-PrimePairs.lisp
Find composite numbers which are the product of two primes that are a distance of d apart where d in [1, 150].
exp-PrimePi.lisp
The prime counting function (pi) and a pair of bounding functions.
exp-ProbNeedle.lisp
Buffon's Needle Problem.
exp-pursuit.lisp
Drug smuggler boat path
exp-qmci.lisp
Benchmark and demonstrate basic mjr_qmci functionality.
exp-ratTrig.lisp
exp-sierpinski.lisp
Draw a colorful Sierpinski gasket-like thingy, and output the drawing as an SVG file
exp-svgCircles.lisp
Generate some SVGs with mathematical art using thousands of circles.
exp-svgDemo.lisp
Demo of the SVG package.@EOF
exp-SwirlyGraph.lisp
Draw a nice and swirly image.
exp-VTKcolorSpace.lisp
Draw the RGB Cube and HSL sphere.
pre-qmci.lisp
Quasi-Monte Carlo Integration.
lib-gfp.lisp
Interactive GF(p) library – modular arithmatic.
lib-gpoly.lisp
Generate Polynomial Code For General Fields.
lib-meta.lisp
Meta package for working with MJRCALC packages.
lib-sia.lisp
Simple Interval Arithmetic (with guess).
use-a.lisp
Angle (and time-ish) utilities.
use-annot.lisp
Provide data annotation tools – DSIMP and DQUAD.
use-arr.lisp
Array utilities.
use-cas.lisp
Very basic computer algebra on :MJR_MXP objects.
use-char.lisp
Character (ASCII & EBCIDIC) tools.@EOL
use-chem.lisp
Chemical element data.
use-chk.lisp
Floating point comparison: disaster prevention.
use-cmp.lisp
Floating point comparison: best guess.
use-color.lisp
Color theory (color space conversions and computations).
use-colorize.lisp
Interface for :MJR_COLORIZED and :MJR_COLORIZER.
use-colorized.lisp
Colorization of discrete spaces (Z_n).
use-colorizer.lisp
Colorization of continuous spaces (R, C, R^2, R^3, C, I, I^2, and I^3).
use-combc.lisp
Constructive Combinatorics: Generating combinatorial objects.
use-combe.lisp
Enumerative Combinatorics: Counting combinatorial objects.
use-const.lisp
Physical constants – with units.
use-date.lisp
Handy date stuff.
use-dft.lisp
DFT and inverse DFT.
use-dquad.lisp
Data sets on QUADrilateral (rectilinear) grids.
use-dsimp.lisp
Data sets on SIMPlicial complexes.
use-ee.lisp
Electronics Engineering.
use-eps.lisp
Floating point comparison: within EPSilon.
use-fsamp.lisp
Sample mathematical functions and create DQUADs and DSIMPs.
use-geo.lisp
Geographic and cartographic computations.
use-geom.lisp
Computational Geometry.
use-gnupl.lisp
Plotting dquads with GNUPlot.
use-ia.lisp
User interface wrapper for :MJR_SIA.
use-intg.lisp
Numerical integration of univariate real functions.
use-intrp.lisp
Polynomial interpolation.
use-intu.lisp
Handy integer utilities.
use-mat.lisp
Matrix math library.
use-matt.lisp
Generate and compute with various test matrices.
use-mxp.lisp
Mathematical eXPressions library.
use-ndiff.lisp
Numerical differentiation.
use-nleq.lisp
Non-linear equation root finding.
use-nleqm.lisp
Multiple Non-linear EQuation root location.
use-numu.lisp
Numerical utilities.
use-ode.lisp
ODE (Ordinary Differential Equation) IVP (Initial Value Problem) solvers.
use-opt.lisp
Univariate function optimization.
use-optm.lisp
Multivariate function OPTimization.
use-perm.lisp
Permutation group computation.
use-poly.lisp
Polynomials over complex, real, rational, and integers.
use-polygfp.lisp
Univariate polynomials over prime order fields – i.e. GF(p)[x].
use-pov.lisp
Produce Povray files!
use-prime.lisp
Computational Number Theory.
use-prng.lisp
Uniform random deviate generators.
use-prob.lisp
Augments and supports :mjr_probau.
use-probau.lisp
Balls And Urns probability distributions.
use-probe.lisp
Empirical probability distriubtions.
use-probu.lisp
Computations on PDFs (Probability Distribution Functions).
use-pwf.lisp
piecewise function stuff.
use-rtrig.lisp
Rational Approximations For Irrational Functions.
use-stats.lisp
Statistics: Averages, histograms, sub-samples, simple linear regression.
use-string.lisp
String utilities.
use-svg.lisp
Simple API to create SVG files
use-tga.lisp
Raster image stuff.
use-units.lisp
Unit conversion tool.
use-util.lisp
Utilities.
use-vec.lisp
Mathematical vectors.
use-vtk.lisp
Write VTK files.
use-vvec.lisp
Virtual vectors.