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  2. Vincent's theorem - Wikipedia

    en.wikipedia.org/wiki/Vincent's_theorem

    Only one continued fractions method derives from Vincent's theorem. As stated above, it started in the 1830s when Vincent presented, in the papers [1] [2] [3] several examples that show how to use his theorem to isolate the real roots of polynomials with continued fractions. However the resulting method had exponential computing time. Below is ...

  3. Fraction of variance unexplained - Wikipedia

    en.wikipedia.org/wiki/Fraction_of_variance...

    In statistics, the fraction of variance unexplained (FVU) in the context of a regression task is the fraction of variance of the regressand (dependent variable) Y which cannot be explained, i.e., which is not correctly predicted, by the explanatory variables X.

  4. Real-root isolation - Wikipedia

    en.wikipedia.org/wiki/Real-root_isolation

    Except for the initialization, all these changes of variable consists of the composition of at most two very simple changes of variable which are the scalings by two x → x/2 , the translation x → x + 1, and the inversion x → 1/x, the latter consisting simply of reverting the order of the coefficients of the polynomial.

  5. Fractional factorial design - Wikipedia

    en.wikipedia.org/wiki/Fractional_factorial_design

    The results of that example may be used to simulate a fractional factorial experiment using a half-fraction of the original 2 4 = 16 run design. The table shows the 2 4-1 = 8 run half-fraction experiment design and the resulting filtration rate, extracted from the table for the full 16 run factorial experiment.

  6. Design of experiments - Wikipedia

    en.wikipedia.org/wiki/Design_of_experiments

    Manipulation checks allow investigators to isolate the chief variables to strengthen support that these variables are operating as planned. One of the most important requirements of experimental research designs is the necessity of eliminating the effects of spurious, intervening, and antecedent variables. In the most basic model, cause (X ...

  7. Fractionation - Wikipedia

    en.wikipedia.org/wiki/Fractionation

    [1] [2] Fractions are collected based on differences in a specific property of the individual components. A common trait in fractionations is the need to find an optimum between the amount of fractions collected and the desired purity in each fraction. Fractionation makes it possible to isolate more than two components in a mixture in a single run.

  8. Separation of variables - Wikipedia

    en.wikipedia.org/wiki/Separation_of_variables

    Separation of variables may be possible in some coordinate systems but not others, [2] and which coordinate systems allow for separation depends on the symmetry properties of the equation. [3] Below is an outline of an argument demonstrating the applicability of the method to certain linear equations, although the precise method may differ in ...

  9. Column chromatography - Wikipedia

    en.wikipedia.org/wiki/Column_chromatography

    Column chromatography in chemistry is a chromatography method used to isolate a single chemical compound from a mixture. Chromatography is able to separate substances based on differential absorption of compounds to the adsorbent; compounds move through the column at different rates, allowing them to be separated into fractions.