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  2. File:OBJECT COUNTING AND DENSITY CALCULATION USING MATLAB.pdf

    en.wikipedia.org/wiki/File:OBJECT_COUNTING_AND...

    This project work also aims at determining the correct value of density by clearing the objects touching the borders of the image. In this project three applications are taken into account and using Matlab with image processing toolbox the count and density values are calculated for each.

  3. Frobenius method - Wikipedia

    en.wikipedia.org/wiki/Frobenius_method

    Some solutions of a differential equation having a regular singular point with indicial roots = and .. In mathematics, the method of Frobenius, named after Ferdinand Georg Frobenius, is a way to find an infinite series solution for a linear second-order ordinary differential equation of the form ″ + ′ + = with ′ and ″.

  4. Autonomous system (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Autonomous_system...

    An autonomous system is a system of ordinary differential equations of the form = (()) where x takes values in n-dimensional Euclidean space; t is often interpreted as time. ...

  5. GNU Octave - Wikipedia

    en.wikipedia.org/wiki/GNU_Octave

    GNU Octave is a scientific programming language for scientific computing and numerical computation.Octave helps in solving linear and nonlinear problems numerically, and for performing other numerical experiments using a language that is mostly compatible with MATLAB.

  6. Cholesky decomposition - Wikipedia

    en.wikipedia.org/wiki/Cholesky_decomposition

    In linear algebra, the Cholesky decomposition or Cholesky factorization (pronounced / ʃ ə ˈ l ɛ s k i / shə-LES-kee) is a decomposition of a Hermitian, positive-definite matrix into the product of a lower triangular matrix and its conjugate transpose, which is useful for efficient numerical solutions, e.g., Monte Carlo simulations.

  7. Logistic map - Wikipedia

    en.wikipedia.org/wiki/Logistic_map

    An example of a spider web projection of a trajectory on the graph of the logistic map, and the locations of the fixed points and on the graph. Graphs of maps, especially those of one variable such as the logistic map, are key to understanding the behavior of the map.

  8. Computer algebra system - Wikipedia

    en.wikipedia.org/wiki/Computer_algebra_system

    The first popular computer algebra systems were muMATH, Reduce, Derive (based on muMATH), and Macsyma; a copyleft version of Macsyma is called Maxima. Reduce became free software in 2008. [3] Commercial systems include Mathematica [4] and Maple, which are commonly used by research mathematicians, scientists, and engineers.

  9. List of finite element software packages - Wikipedia

    en.wikipedia.org/wiki/List_of_finite_element...

    Full API for Java and, through add-on product, Matlab Runtime parsed mathematical expression in input files Fully scriptable in as m-file Matlab scripts and the GUI supports exporting models in script format automatic differentiation: Yes Yes Yes Forward-mode for Jacobian computation, symbolic differentiation capabilities multiphysics: