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  2. Audio file format - Wikipedia

    en.wikipedia.org/wiki/Audio_file_format

    A free, open source container format supporting a variety of formats, the most popular of which is the audio format Vorbis. Vorbis offers compression similar to MP3 but is less popular. Mogg, the "Multi-Track-Single-Logical-Stream Ogg-Vorbis", is the multi-channel or multi-track Ogg file format. .opus: Internet Engineering Task Force

  3. Reasonableness - Wikipedia

    en.wikipedia.org/wiki/Reasonableness

    In constitutional and administrative law, reasonableness is a lens through which courts examine the constitutionality or lawfulness of legislation and regulation. [12] [13] [14] According to Paul Craig, it is "concerned with review of the weight and balance accorded by the primary decision-maker to factors that have been or can be deemed relevant in pursuit of a prima facie allowable purpose".

  4. Perfectly Reasonable Deviations from the Beaten Track

    en.wikipedia.org/wiki/Perfectly_Reasonable...

    Perfectly Reasonable Deviations from the Beaten Track: The Letters of Richard P. Feynman is a collection of Nobel Prize winner Richard Feynman's letters. [ 1 ] [ 2 ] [ 3 ] The book was edited by his daughter, Michelle Feynman , and includes a foreword by Timothy Ferris .

  5. Mathematical optimization - Wikipedia

    en.wikipedia.org/wiki/Mathematical_optimization

    This represents the value (or values) of the argument x in the interval (−∞,−1] that minimizes (or minimize) the objective function x 2 + 1 (the actual minimum value of that function is not what the problem asks for). In this case, the answer is x = −1, since x = 0 is infeasible, that is, it does not belong to the feasible set. Similarly,

  6. Extraneous and missing solutions - Wikipedia

    en.wikipedia.org/wiki/Extraneous_and_missing...

    A missing solution is a valid one which is lost during the solution process. Both situations frequently result from performing operations that are not invertible for some or all values of the variables involved, which prevents the chain of logical implications from being bidirectional.

  7. Power series solution of differential equations - Wikipedia

    en.wikipedia.org/wiki/Power_series_solution_of...

    Suppose further that a 1 /a 2 and a 0 /a 2 are analytic functions. The power series method calls for the construction of a power series solution = =. If a 2 is zero for some z, then the Frobenius method, a variation on this method, is suited to deal with so called "singular points". The method works analogously for higher order equations as ...

  8. Basic feasible solution - Wikipedia

    en.wikipedia.org/wiki/Basic_feasible_solution

    A basis B of the LP is called dual-optimal if the solution = is an optimal solution to the dual linear program, that is, it minimizes . In general, a primal-optimal basis is not necessarily dual-optimal, and a dual-optimal basis is not necessarily primal-optimal (in fact, the solution of a primal-optimal basis may even be unfeasible for the ...

  9. Bisection method - Wikipedia

    en.wikipedia.org/wiki/Bisection_method

    A few steps of the bisection method applied over the starting range [a 1;b 1]. The bigger red dot is the root of the function. The bigger red dot is the root of the function. In mathematics , the bisection method is a root-finding method that applies to any continuous function for which one knows two values with opposite signs.