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  2. Plotting algorithms for the Mandelbrot set - Wikipedia

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

    The first step of the second pass is to create an array of size n, which is the maximum iteration count: NumIterationsPerPixel. Next, one must iterate over the array of pixel-iteration count pairs, IterationCounts[][], and retrieve each pixel's saved iteration count, i, via e.g. i = IterationCounts[x][y].

  3. SymPy - Wikipedia

    en.wikipedia.org/wiki/SymPy

    SymPy is simple to install and to inspect because it is written entirely in Python with few dependencies. [4] [5] [6] This ease of access combined with a simple and extensible code base in a well known language make SymPy a computer algebra system with a relatively low barrier to entry.

  4. List of numerical libraries - Wikipedia

    en.wikipedia.org/wiki/List_of_numerical_libraries

    ILNumerics.Net Commercial high performance, typesafe numerical array classes and functions for general math, FFT and linear algebra, aims .NET/mono, 32&64 bit, script-like syntax in C#, 2D & 3D plot controls, efficient memory management. IMSL Numerical Libraries have C# version (commercially licensed). IMSL .Net have announced end of life at ...

  5. Comparison of programming languages (array) - Wikipedia

    en.wikipedia.org/wiki/Comparison_of_programming...

    is how one would use Fortran to create arrays from the even and odd entries of an array. Another common use of vectorized indices is a filtering operation. Consider a clipping operation of a sine wave where amplitudes larger than 0.5 are to be set to 0.5. Using S-Lang, this can be done by y = sin(x); y[where(abs(y)>0.5)] = 0.5;

  6. List of computer algebra systems - Wikipedia

    en.wikipedia.org/wiki/List_of_computer_algebra...

    ^ via SymPy ^ via qepcad optional package Those which do not "edit equations" may have a GUI, plotting, ASCII graphic formulae and math font printing. The ability to generate plaintext files is also a sought-after feature because it allows a work to be understood by people who do not have a computer algebra system installed.

  7. List of numerical-analysis software - Wikipedia

    en.wikipedia.org/wiki/List_of_numerical-analysis...

    It can produce 2D/3D plots. FEATool Multiphysics is a Matlab GUI toolbox for finite element FEM and PDE multiphysics simulations. FEniCS Project is a collection of project for automated solutions to PDEs. Hermes is a C++ library of advanced adaptive finite element algorithms to solve PDEs and multiphysics coupled problems.

  8. Amortized analysis - Wikipedia

    en.wikipedia.org/wiki/Amortized_analysis

    Amortized analysis of the push operation for a dynamic array. Consider a dynamic array that grows in size as more elements are added to it, such as ArrayList in Java or std::vector in C++. If we started out with a dynamic array of size 4, we could push 4 elements onto it, and each operation would take constant time. Yet pushing a fifth element ...

  9. Variable-length array - Wikipedia

    en.wikipedia.org/wiki/Variable-length_array

    Object Pascal dynamic arrays are allocated on the heap. [12] In this language, it is called a dynamic array. The declaration of such a variable is similar to the declaration of a static array, but without specifying its size. The size of the array is given at the time of its use.