- 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.