http://code.activestate.com/recipes/tags/mathematics-simulation/2016-07-31T22:50:28-07:00ActiveState Code Recipes2016-07-23T07:58:14-07:00FB36http://code.activestate.com/recipes/users/4172570/http://code.activestate.com/recipes/580691-hamming-error-correction-code/

<p style="color: grey"> Python recipe 580691 by <a href="/recipes/users/4172570/">FB36</a> (<a href="/recipes/tags/encoding/">encoding</a>, <a href="/recipes/tags/engineering/">engineering</a>, <a href="/recipes/tags/math/">math</a>, <a href="/recipes/tags/mathematics/">mathematics</a>, <a href="/recipes/tags/utility/">utility</a>). </p> <p>Hamming(7,4) Error Correction Code (ECC).</p>

2015-11-07T18:44:05-08:00FB36http://code.activestate.com/recipes/users/4172570/http://code.activestate.com/recipes/579122-simple-infix-expression-evaluation/

<p style="color: grey"> Python recipe 579122 by <a href="/recipes/users/4172570/">FB36</a> (<a href="/recipes/tags/algorithm/">algorithm</a>, <a href="/recipes/tags/algorithms/">algorithms</a>, <a href="/recipes/tags/math/">math</a>, <a href="/recipes/tags/mathematics/">mathematics</a>, <a href="/recipes/tags/stack/">stack</a>). </p> <p>Simple infix expression evaluation using a stack.</p>

2016-07-31T22:50:28-07:00FB36http://code.activestate.com/recipes/users/4172570/http://code.activestate.com/recipes/580695-image-projection-onto-sphere/

<p style="color: grey"> Python recipe 580695 by <a href="/recipes/users/4172570/">FB36</a> (<a href="/recipes/tags/graphics/">graphics</a>, <a href="/recipes/tags/image/">image</a>, <a href="/recipes/tags/images/">images</a>, <a href="/recipes/tags/image_processing/">image_processing</a>, <a href="/recipes/tags/imaging/">imaging</a>, <a href="/recipes/tags/math/">math</a>, <a href="/recipes/tags/mathematics/">mathematics</a>, <a href="/recipes/tags/pil/">pil</a>). </p> <p>Image projection onto sphere using Equirectangular map projection.</p> <p>Download the test image from the Wikipedia page!</p>

2016-01-25T23:05:25-08:00FB36http://code.activestate.com/recipes/users/4172570/http://code.activestate.com/recipes/580495-random-planet-generator-using-plasma-fractal/

<p style="color: grey"> Python recipe 580495 by <a href="/recipes/users/4172570/">FB36</a> (<a href="/recipes/tags/fractal/">fractal</a>, <a href="/recipes/tags/graphics/">graphics</a>, <a href="/recipes/tags/image/">image</a>, <a href="/recipes/tags/images/">images</a>, <a href="/recipes/tags/math/">math</a>, <a href="/recipes/tags/mathematics/">mathematics</a>). </p> <p>Random Planet Generator using 3D Plasma Fractal and Voxel-based Ray Tracing for rendering.</p> <p>Instead of generating 2D Plasma Fractal and projecting onto sphere, it generates 3D Plasma Fractal (cube) and cuts sphere from it.</p>

2015-12-28T17:56:08-08:00Jack Trainorhttp://code.activestate.com/recipes/users/4076953/http://code.activestate.com/recipes/579143-mandelbrot-set-made-simple/

<p style="color: grey"> Python recipe 579143 by <a href="/recipes/users/4076953/">Jack Trainor</a> (<a href="/recipes/tags/educational/">educational</a>, <a href="/recipes/tags/fractal/">fractal</a>, <a href="/recipes/tags/graphics/">graphics</a>, <a href="/recipes/tags/mandelbrot/">mandelbrot</a>, <a href="/recipes/tags/mathematics/">mathematics</a>). Revision 2. </p> <p>This is a mini-framework for exploring the Mandelbrot Set.</p> <p>It outputs to a Tkinter window or to a PNG file (Pillow package required). It includes a disk caching mechanism for saving and later retrieving Mandelbrot calculations to avoid recalculating the Set on each run.</p> <p>See module documentation for further information. Compatible with Python 2 and 3.</p>

2015-11-08T05:08:26-08:00FB36http://code.activestate.com/recipes/users/4172570/http://code.activestate.com/recipes/579123-infix-expression-evaluation/

<p style="color: grey"> Python recipe 579123 by <a href="/recipes/users/4172570/">FB36</a> (<a href="/recipes/tags/algorithm/">algorithm</a>, <a href="/recipes/tags/algorithms/">algorithms</a>, <a href="/recipes/tags/math/">math</a>, <a href="/recipes/tags/mathematics/">mathematics</a>, <a href="/recipes/tags/stack/">stack</a>). </p> <p>Infix expression evaluation using two stacks.</p>

2015-08-08T20:50:23-07:00FB36http://code.activestate.com/recipes/users/4172570/http://code.activestate.com/recipes/579094-quasicrystal-pattern-generator/

<p style="color: grey"> Python recipe 579094 by <a href="/recipes/users/4172570/">FB36</a> (<a href="/recipes/tags/fractal/">fractal</a>, <a href="/recipes/tags/graphics/">graphics</a>, <a href="/recipes/tags/image/">image</a>, <a href="/recipes/tags/images/">images</a>, <a href="/recipes/tags/math/">math</a>, <a href="/recipes/tags/mathematics/">mathematics</a>). </p> <p>Quasicrystal Pattern Generator</p>

2015-01-03T03:39:34-08:00FB36http://code.activestate.com/recipes/users/4172570/http://code.activestate.com/recipes/578997-2d-discrete-fourier-transform/

<p style="color: grey"> Python recipe 578997 by <a href="/recipes/users/4172570/">FB36</a> (<a href="/recipes/tags/image/">image</a>, <a href="/recipes/tags/images/">images</a>, <a href="/recipes/tags/image_processing/">image_processing</a>, <a href="/recipes/tags/math/">math</a>, <a href="/recipes/tags/mathematics/">mathematics</a>, <a href="/recipes/tags/signal_processing/">signal_processing</a>). </p> <p>2D Discrete Fourier Transform (DFT) and its inverse.</p> <p>Calculates 2D DFT of an image and recreates the image using inverse 2D DFT.</p> <p>Computation is slow so only suitable for thumbnail size images.</p>

2014-12-27T21:43:53-08:00FB36http://code.activestate.com/recipes/users/4172570/http://code.activestate.com/recipes/578994-discrete-fourier-transform/

<p style="color: grey"> Python recipe 578994 by <a href="/recipes/users/4172570/">FB36</a> (<a href="/recipes/tags/math/">math</a>, <a href="/recipes/tags/mathematics/">mathematics</a>, <a href="/recipes/tags/signal/">signal</a>, <a href="/recipes/tags/signal_processing/">signal_processing</a>). </p> <p>Discrete Fourier Transform and Inverse Discrete Fourier Transform</p> <p>To test, it creates an input signal using a Sine wave that has known frequency, amplitude, phase. Later it calculates DFT of the input signal and finds its frequency, amplitude, phase to compare.</p>

2015-01-17T19:21:47-08:00FB36http://code.activestate.com/recipes/users/4172570/http://code.activestate.com/recipes/579006-mandelbrot-fractal-image-output-to-ppm-file/

<p style="color: grey"> Python recipe 579006 by <a href="/recipes/users/4172570/">FB36</a> (<a href="/recipes/tags/fractal/">fractal</a>, <a href="/recipes/tags/image/">image</a>, <a href="/recipes/tags/images/">images</a>, <a href="/recipes/tags/math/">math</a>, <a href="/recipes/tags/mathematics/">mathematics</a>). </p> <p>It creates image output without using any external library.</p> <p>PPM image files can be viewed and converted to other image file formats using many applications, GIMP or IrfanView for example.</p>

2014-09-10T02:21:27-07:00Ethan Hannhttp://code.activestate.com/recipes/users/4190746/http://code.activestate.com/recipes/578931-perfect-square-checker/

<p style="color: grey"> Python recipe 578931 by <a href="/recipes/users/4190746/">Ethan Hann</a> (<a href="/recipes/tags/check/">check</a>, <a href="/recipes/tags/checker/">checker</a>, <a href="/recipes/tags/math/">math</a>, <a href="/recipes/tags/mathematics/">mathematics</a>, <a href="/recipes/tags/root/">root</a>, <a href="/recipes/tags/square/">square</a>). </p> <p>This program will take input from the user and either check if a number is a perfect square or square a number, depending on user's choice.</p>

2014-09-16T22:27:04-07:00Barry Walkerhttp://code.activestate.com/recipes/users/4177147/http://code.activestate.com/recipes/578934-a-fun-perfect-square-checker-using-integer-arithme/

<p style="color: grey"> Bash recipe 578934 by <a href="/recipes/users/4177147/">Barry Walker</a> (<a href="/recipes/tags/arithmetic/">arithmetic</a>, <a href="/recipes/tags/bash/">bash</a>, <a href="/recipes/tags/check/">check</a>, <a href="/recipes/tags/checker/">checker</a>, <a href="/recipes/tags/cygwin/">cygwin</a>, <a href="/recipes/tags/macbook_pro/">macbook_pro</a>, <a href="/recipes/tags/math/">math</a>, <a href="/recipes/tags/mathematics/">mathematics</a>, <a href="/recipes/tags/perfect/">perfect</a>, <a href="/recipes/tags/root/">root</a>, <a href="/recipes/tags/square/">square</a>). </p> <p>A recent Python upload here gave me the inspiration to do a bash version... This is a little tongue-in-cheek but an enjoyable bit of fun.</p> <p>It took around 11 seconds to prove 90000000000 had a perfect square of 300000...</p> <p>It is a stand alone program and has a degree of INPUT error correction...</p> <p>It was done on a MacBook Pro, OSX 10.7.5, default bash terminal and should work on Linux flavours but it is untested...</p> <p>Enjoy finding simple solutions to often very difficult problems...</p> <p>Bazza...</p>

2012-05-14T13:34:31-07:00Anand B Pillaihttp://code.activestate.com/recipes/users/4169530/http://code.activestate.com/recipes/578131-a-simple-matrix-class/

<p style="color: grey"> Python recipe 578131 by <a href="/recipes/users/4169530/">Anand B Pillai</a> (<a href="/recipes/tags/algebra/">algebra</a>, <a href="/recipes/tags/math/">math</a>, <a href="/recipes/tags/mathematics/">mathematics</a>, <a href="/recipes/tags/matrix/">matrix</a>). Revision 3. </p> <p>A simple class in Python representing a Matrix with basic operations, operator overloading and class factory methods to make Matrices from different sources.</p>

2013-10-30T03:53:31-07:00FB36http://code.activestate.com/recipes/users/4172570/http://code.activestate.com/recipes/578765-circle-inversion-fractals/

<p style="color: grey"> Python recipe 578765 by <a href="/recipes/users/4172570/">FB36</a> (<a href="/recipes/tags/fractal/">fractal</a>, <a href="/recipes/tags/math/">math</a>, <a href="/recipes/tags/mathematics/">mathematics</a>). </p> <p>Circle Inversion Fractals (Apollonian Gasket)</p>

2013-09-29T05:35:20-07:00FB36http://code.activestate.com/recipes/users/4172570/http://code.activestate.com/recipes/578658-random-spiral-fractals/

<p style="color: grey"> Python recipe 578658 by <a href="/recipes/users/4172570/">FB36</a> (<a href="/recipes/tags/fractal/">fractal</a>, <a href="/recipes/tags/math/">math</a>, <a href="/recipes/tags/mathematics/">mathematics</a>). Revision 2. </p> <p>This based on another of my posted codes, titled "Spiral IFS Fractals".</p>

2013-09-23T03:18:02-07:00FB36http://code.activestate.com/recipes/users/4172570/http://code.activestate.com/recipes/578670-hofstadter-butterfly-fractal/

<p style="color: grey"> Python recipe 578670 by <a href="/recipes/users/4172570/">FB36</a> (<a href="/recipes/tags/fractal/">fractal</a>, <a href="/recipes/tags/math/">math</a>, <a href="/recipes/tags/mathematics/">mathematics</a>, <a href="/recipes/tags/physics/">physics</a>). Revision 2. </p> <p>Hofstadter Butterfly Fractal</p>

2013-08-29T06:11:41-07:00FB36http://code.activestate.com/recipes/users/4172570/http://code.activestate.com/recipes/578652-voxel-based-ray-tracing/

<p style="color: grey"> Python recipe 578652 by <a href="/recipes/users/4172570/">FB36</a> (<a href="/recipes/tags/graphics/">graphics</a>, <a href="/recipes/tags/image/">image</a>, <a href="/recipes/tags/math/">math</a>, <a href="/recipes/tags/mathematics/">mathematics</a>). </p> <p>The standard ray tracing algorithm seems unnatural to me because everytime a ray reflects/refracts all (primitive) objects in the scene must be tested for intersection; no matter where they located!</p> <p>In this method there is no such thing. It just moves each ray voxel by voxel until it hits an opaque/reflective(/refractive) voxel.</p> <p>I made many simplifications so the image is crude.</p>

2013-09-02T18:49:53-07:00FB36http://code.activestate.com/recipes/users/4172570/http://code.activestate.com/recipes/578653-calculating-e-using-continued-fraction/

<p style="color: grey"> Python recipe 578653 by <a href="/recipes/users/4172570/">FB36</a> (<a href="/recipes/tags/math/">math</a>, <a href="/recipes/tags/mathematics/">mathematics</a>). </p> <p>Calculating e using Continued Fraction</p>

2013-07-06T23:53:20-07:00FB36http://code.activestate.com/recipes/users/4172570/http://code.activestate.com/recipes/578590-mandelbrot-fractal-using-tkinter/

<p style="color: grey"> Python recipe 578590 by <a href="/recipes/users/4172570/">FB36</a> (<a href="/recipes/tags/fractal/">fractal</a>, <a href="/recipes/tags/graphics/">graphics</a>, <a href="/recipes/tags/math/">math</a>, <a href="/recipes/tags/mathematics/">mathematics</a>, <a href="/recipes/tags/tkinter/">tkinter</a>). </p> <p>Mandelbrot Fractal using Tkinter</p>

2013-07-21T08:03:39-07:00FB36http://code.activestate.com/recipes/users/4172570/http://code.activestate.com/recipes/578616-riemann-zeta-function-graph/

<p style="color: grey"> Python recipe 578616 by <a href="/recipes/users/4172570/">FB36</a> (<a href="/recipes/tags/fractal/">fractal</a>, <a href="/recipes/tags/math/">math</a>, <a href="/recipes/tags/mathematics/">mathematics</a>). </p> <p>Riemann Zeta Function Graph</p>