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  2. Residuated mapping - Wikipedia

    en.wikipedia.org/wiki/Residuated_mapping

    The function f + is the residual of f. A residuated function and its residual form a Galois connection under the (more recent) monotone definition of that concept, and for every (monotone) Galois connection the lower adjoint is residuated with the residual being the upper adjoint. [ 2 ]

  3. File:Fractional Residual Variances comparison, PCA and NMF.pdf

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

    Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version published by the Free Software Foundation; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts.

  4. Residual (numerical analysis) - Wikipedia

    en.wikipedia.org/wiki/Residual_(numerical_analysis)

    When one does not know the exact solution, one may look for the approximation with small residual. Residuals appear in many areas in mathematics, including iterative solvers such as the generalized minimal residual method, which seeks solutions to equations by systematically minimizing the residual.

  5. Restricted maximum likelihood - Wikipedia

    en.wikipedia.org/wiki/Restricted_maximum_likelihood

    In statistics, the restricted (or residual, or reduced) maximum likelihood (REML) approach is a particular form of maximum likelihood estimation that does not base estimates on a maximum likelihood fit of all the information, but instead uses a likelihood function calculated from a transformed set of data, so that nuisance parameters have no effect.

  6. Errors and residuals - Wikipedia

    en.wikipedia.org/wiki/Errors_and_residuals

    The difference between the height of each man in the sample and the observable sample mean is a residual. Note that, because of the definition of the sample mean, the sum of the residuals within a random sample is necessarily zero, and thus the residuals are necessarily not independent .

  7. Method of mean weighted residuals - Wikipedia

    en.wikipedia.org/wiki/Method_of_mean_weighted...

    The method of mean weighted residuals solves (,,, …,) = by imposing that the degrees of freedom are such that: ((,,, …,),) =is satisfied. Where the inner product (,) is the standard function inner product with respect to some weighting function () which is determined usually by the basis function set or arbitrarily according to whichever weighting function is most convenient.