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  2. SymPy - Wikipedia

    en.wikipedia.org/wiki/SymPy

    SymPy is an open-source Python library for symbolic computation. It provides computer algebra capabilities either as a standalone application, as a library to other applications, or live on the web as SymPy Live [2] or SymPy Gamma. [3] SymPy is simple to install and to inspect because it is written entirely in Python with few dependencies.

  3. Comparison of numerical-analysis software - Wikipedia

    en.wikipedia.org/wiki/Comparison_of_numerical...

    Performs complex scalar or matrix based ODE solving with parametric optimization. Has 2D and 3D plotting, 3D animation, and state transition built in. Yorick: n/a n/a n/a 9 January 2015: Free GPL: Programmable, callable 2D+3D plotting. Language syntax similar to C. Interfacing to other software packages via C calls.

  4. Plotting algorithms for the Mandelbrot set - Wikipedia

    en.wikipedia.org/wiki/Plotting_algorithms_for...

    The top row is a series of plots using the escape time algorithm for 10000, 1000 and 100 maximum iterations per pixel respectively. The bottom row uses the same maximum iteration values but utilizes the histogram coloring method. Notice how little the coloring changes per different maximum iteration counts for the histogram coloring method plots.

  5. Stirling's approximation - Wikipedia

    en.wikipedia.org/wiki/Stirling's_approximation

    In order to extend Laplace's method to higher orders, we perform another change of variables by + = /. This equation cannot be solved in closed form, but it can be solved by serial expansion, which gives us t = τ − τ 2 / 6 + τ 3 / 36 + a 4 τ 4 + O ( τ 5 ) {\displaystyle t=\tau -\tau ^{2}/6+\tau ^{3}/36+a_{4}\tau ^{4}+O(\tau ^{5})} .

  6. List of numerical libraries - Wikipedia

    en.wikipedia.org/wiki/List_of_numerical_libraries

    NOVAS is a software library for astrometry-related numerical computations. Both Fortran and C versions are available. Netlib is a repository of scientific computing software which contains a large number of separate programs and libraries including BLAS, EISPACK, LAPACK and others. PAW is a free data analysis package developed at CERN.

  7. String-searching algorithm - Wikipedia

    en.wikipedia.org/wiki/String-searching_algorithm

    A simple and inefficient way to see where one string occurs inside another is to check at each index, one by one. First, we see if there is a copy of the needle starting at the first character of the haystack; if not, we look to see if there's a copy of the needle starting at the second character of the haystack, and so forth.

  8. Computer algebra system - Wikipedia

    en.wikipedia.org/wiki/Computer_algebra_system

    plotting graphs and parametric plots of functions in two and three dimensions, and animating them; drawing charts and diagrams; APIs for linking it on an external program such as a database, or using in a programming language to use the computer algebra system; string manipulation such as matching and searching

  9. Approximate string matching - Wikipedia

    en.wikipedia.org/wiki/Approximate_string_matching

    A fuzzy Mediawiki search for "angry emoticon" has as a suggested result "andré emotions" In computer science, approximate string matching (often colloquially referred to as fuzzy string searching) is the technique of finding strings that match a pattern approximately (rather than exactly).

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