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  2. Selection principle - Wikipedia

    en.wikipedia.org/wiki/Selection_principle

    Selection principle. In mathematics, a selection principle is a rule asserting the possibility of obtaining mathematically significant objects by selecting elements from given sequences of sets. The theory of selection principles studies these principles and their relations to other mathematical properties.

  3. Principal branch - Wikipedia

    en.wikipedia.org/wiki/Principal_branch

    In this manner log function is a multi-valued function (often referred to as a "multifunction" in the context of complex analysis). A branch cut, usually along the negative real axis, can limit the imaginary part so it lies between −π and π. These are the chosen principal values. This is the principal branch of the log function.

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  5. Dimensionality reduction - Wikipedia

    en.wikipedia.org/wiki/Dimensionality_reduction

    Dimensionality reduction. Dimensionality reduction, or dimension reduction, is the transformation of data from a high-dimensional space into a low-dimensional space so that the low-dimensional representation retains some meaningful properties of the original data, ideally close to its intrinsic dimension. Working in high-dimensional spaces can ...

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  7. Complex logarithm - Wikipedia

    en.wikipedia.org/wiki/Complex_logarithm

    instead. In developing the analogue for the complex logarithm, there is an additional complication: the definition of the complex integral requires a choice of path. . Fortunately, if the integrand is holomorphic, then the value of the integral is unchanged by deforming the path (while holding the endpoints fixed), and in a simply connected region (a region with "no holes"), any path from to ...

  8. Multiple principal problem - Wikipedia

    en.wikipedia.org/wiki/Multiple_principal_problem

    Multiple principal problem. The multiple principal problem, also known as the common agency problem, the multiple accountabilities problem, or the problem of serving two masters, is an extension of the principal-agent problem that explains problems that can occur when one person or entity acts on behalf of multiple other persons or entities. [1]

  9. Principal component regression - Wikipedia

    en.wikipedia.org/wiki/Principal_component_regression

    In statistics, principal component regression ( PCR) is a regression analysis technique that is based on principal component analysis (PCA). More specifically, PCR is used for estimating the unknown regression coefficients in a standard linear regression model . In PCR, instead of regressing the dependent variable on the explanatory variables ...