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  2. Autonomous system (mathematics) - Wikipedia

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

    Download as PDF; Printable version; In other projects ... % solve the equation for a general solution symbolically y_general = dsolve ... As example, the equation: ...

  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. 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.

  5. 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.

  6. List of finite element software packages - Wikipedia

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

    Matlab / Octave Bindings to language: Full API for Java and Matlab (the latter via add-on product) PyMFEM (Python) Python, Scilab or Matlab Python bindings to some functionality Python Other: Predefined equations: Yes, many predefined physics and multiphysics interfaces in COMSOL Multiphysics and its add-ons.

  7. System of differential equations - Wikipedia

    en.wikipedia.org/wiki/System_of_differential...

    For an arbitrary system of ODEs, a set of solutions (), …, are said to be linearly-independent if: + … + = is satisfied only for = … = =.A second-order differential equation ¨ = (,, ˙) may be converted into a system of first order linear differential equations by defining = ˙, which gives us the first-order system:

  8. Solutions of the Einstein field equations - Wikipedia

    en.wikipedia.org/wiki/Solutions_of_the_Einstein...

    For example, a naive choice of =, =, would correspond to a so-called synchronous coordinate system: one where t-coordinate coincides with proper time for any comoving observer (particle that moves along a fixed trajectory.)

  9. Branch and bound - Wikipedia

    en.wikipedia.org/wiki/Branch_and_bound

    The following is the skeleton of a generic branch and bound algorithm for minimizing an arbitrary objective function f. [3] To obtain an actual algorithm from this, one requires a bounding function bound, that computes lower bounds of f on nodes of the search tree, as well as a problem-specific branching rule.