http://code.activestate.com/recipes/tags/mathematics/top/2016-07-31T22:50:28-07:00ActiveState Code Recipes2012-05-14T13:34:31-07:00Anand 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>

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>

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>

2013-02-23T04:00:52-08:00FB36http://code.activestate.com/recipes/users/4172570/http://code.activestate.com/recipes/578469-bilinear-interpolation/

<p style="color: grey"> Python recipe 578469 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>, <a href="/recipes/tags/pil/">pil</a>). </p> <p>Creates a surface from a grid of random numbers using Bilinear Interpolation.</p>

2011-11-25T02:33:54-08:00FB36http://code.activestate.com/recipes/users/4172570/http://code.activestate.com/recipes/577961-bezier-curve-using-de-casteljau-algorithm/

<p style="color: grey"> Python recipe 577961 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>Draws a random Bezier Curve using De Casteljau algorithm.</p>

2011-10-24T02:55:08-07:00FB36http://code.activestate.com/recipes/users/4172570/http://code.activestate.com/recipes/577917-tetration-fractal/

<p style="color: grey"> Python recipe 577917 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>Tetration Fractal.</p>

2011-05-01T17:33:20-07:00FB36http://code.activestate.com/recipes/users/4172570/http://code.activestate.com/recipes/577680-multi-threaded-mandelbrot-fractal/

<p style="color: grey"> Python recipe 577680 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/math/">math</a>, <a href="/recipes/tags/mathematics/">mathematics</a>, <a href="/recipes/tags/thread/">thread</a>, <a href="/recipes/tags/threading/">threading</a>, <a href="/recipes/tags/threads/">threads</a>). Revision 3. </p> <p>Multi-threaded Mandelbrot Fractal.</p>

2010-11-29T08:37:34-08:00FB36http://code.activestate.com/recipes/users/4172570/http://code.activestate.com/recipes/577476-shannon-entropy-calculation/

<p style="color: grey"> Python recipe 577476 by <a href="/recipes/users/4172570/">FB36</a> (<a href="/recipes/tags/math/">math</a>, <a href="/recipes/tags/mathematics/">mathematics</a>). </p> <p>Shannon entropy of a string indicates minimum average number of bits per symbol required for encoding (compressing) the string.</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>

2016-07-23T07:58:14-07:00FB36http://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>

2015-11-08T05:08:26-08:00FB36http://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>

2015-01-17T19:21:47-08:00FB36http://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>

2014-08-18T05:01:04-07:00FB36http://code.activestate.com/recipes/users/4172570/http://code.activestate.com/recipes/578924-2d-fluid-simulation-using-fhp-lgca/

<p style="color: grey"> Python recipe 578924 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/physics/">physics</a>, <a href="/recipes/tags/simulation/">simulation</a>). </p> <p>2D Fluid Simulation using FHP LGCA (Lattice Gas Cellular Automata)</p> <p>Simulates fluid flow in a circular channel.</p> <p>It works really slow but I think it can be a lot faster if it modified for NumPy and possibly Py2Exe.</p> <p>But my main goal was to provide easy to understand code (not performance) anyway. </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>

2013-09-02T18:49:53-07:00FB36http://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>

2013-01-19T00:27:29-08:00FB36http://code.activestate.com/recipes/users/4172570/http://code.activestate.com/recipes/578426-logistic-map-fractal/

<p style="color: grey"> Python recipe 578426 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>Logistic Map Fractal.</p> <p><a href="http://en.wikipedia.org/wiki/Logistic_map" rel="nofollow">http://en.wikipedia.org/wiki/Logistic_map</a></p>

2013-01-14T02:07:47-08:00FB36http://code.activestate.com/recipes/users/4172570/http://code.activestate.com/recipes/578415-true-color-mandelbrot-fractal/

<p style="color: grey"> Python recipe 578415 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/pil/">pil</a>). Revision 2. </p> <p>True-color Mandelbrot Fractal. It uses |x|, |y|, |z|, |angle(z)| values of the final iteration point for coloring.</p>

2012-01-07T05:31:10-08:00FB36http://code.activestate.com/recipes/users/4172570/http://code.activestate.com/recipes/578002-dragon-fractal-using-iteration-method/

<p style="color: grey"> Python recipe 578002 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>). </p> <p>This method uses inverse IFS transformations and it does not use a random number generator.</p>

2011-08-04T05:29:16-07:00Steven D'Apranohttp://code.activestate.com/recipes/users/4172944/http://code.activestate.com/recipes/577821-integer-square-root-function/

<p style="color: grey"> Python recipe 577821 by <a href="/recipes/users/4172944/">Steven D'Aprano</a> (<a href="/recipes/tags/integer/">integer</a>, <a href="/recipes/tags/isqrt/">isqrt</a>, <a href="/recipes/tags/math/">math</a>, <a href="/recipes/tags/mathematics/">mathematics</a>, <a href="/recipes/tags/maths/">maths</a>, <a href="/recipes/tags/root/">root</a>, <a href="/recipes/tags/square/">square</a>). </p> <p>The <em>integer square root</em> function, or isqrt, is equivalent to floor(sqrt(x)) for non-negative x. For small x, the most convenient way to calculate isqrt is by calling int(x**0.5) or int(math.sqrt(x)), but if x is a large enough integer, the sqrt calculation overflows.</p> <p>You can calculate the isqrt without any floating point maths, using just pure integer maths, allowing the function to operate with numbers far larger than possible with floats:</p> <pre class="prettyprint"><code>&gt;&gt;&gt; n = 1234567*(10**1000) &gt;&gt;&gt; n2 = n*n &gt;&gt;&gt; math.sqrt(n2) Traceback (most recent call last): File "&lt;stdin&gt;", line 1, in &lt;module&gt; OverflowError: long int too large to convert to float &gt;&gt;&gt; isqrt(n2) == n True </code></pre>