A matroid with an associated weight function is called a weighted matroid.
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Where the test / weight functions are irrotational.
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For technical reasons it is also often convenient only to consider positive weight functions.
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Weight functions are given as follows:
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Note that Gaussian quadrature can also be adapted for various weight functions, but the technique is somewhat different.
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He developed the analytical theory of the weight functions and the method of the mathematical models diagnostics on its base.
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WACA ( Weighted Application-aware Clustering Algorithm ) uses a heuristic weight function for self-organized cluster creation.
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For the test / weight functions one would choose the irrotational vector elements obtained from the gradient of the pressure element.
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The polynomial is said to be an orthogonal polynomial of degree " n " associated to the weight function.
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In Gaussian quadrature, different weight functions lead to different orthogonal polynomials, and thus different roots where the integrand is evaluated.