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  2. Liquid-crystal display - Wikipedia

    en.wikipedia.org/wiki/Liquid-crystal_display

    A wavy structure is easier to mass-produce than a prismatic one using conventional diamond machine tools, which are used to make the rollers used to imprint the wavy structure into plastic sheets, thus producing prism sheets. [112] A diffuser sheet is placed on both sides of the prism sheet to distribute the light of the backlight uniformly ...

  3. Uniform 4-polytope - Wikipedia

    en.wikipedia.org/wiki/Uniform_4-polytope

    This family overlaps with the first: when one of the two "factor" polygons is a square, the product is equivalent to a hyperprism whose base is a three-dimensional prism. The symmetry number of a duoprism whose factors are a p -gon and a q -gon (a " p,q -duoprism") is 4 pq if p ≠ q ; if the factors are both p -gons, the symmetry number is 8 p 2 .

  4. Design effect - Wikipedia

    en.wikipedia.org/wiki/Design_effect

    In survey methodology, the design effect (generally denoted as , , or ) is a measure of the expected impact of a sampling design on the variance of an estimator for some parameter of a population. It is calculated as the ratio of the variance of an estimator based on a sample from an (often) complex sampling design, to the variance of an ...

  5. Cubic equation - Wikipedia

    en.wikipedia.org/wiki/Cubic_equation

    Here the function is and therefore the three real roots are 2, −1 and −4. In algebra, a cubic equation in one variable is an equation of the form in which a is not zero. The solutions of this equation are called roots of the cubic function defined by the left-hand side of the equation. If all of the coefficients a, b, c, and d of the cubic ...

  6. Discrete-time Fourier transform - Wikipedia

    en.wikipedia.org/wiki/Discrete-time_Fourier...

    In mathematics, the discrete-time Fourier transform (DTFT) is a form of Fourier analysis that is applicable to a sequence of discrete values. The DTFT is often used to analyze samples of a continuous function. The term discrete-time refers to the fact that the transform operates on discrete data, often samples whose interval has units of time.

  7. Fermi paradox - Wikipedia

    en.wikipedia.org/wiki/Fermi_paradox

    This is an accepted version of this page This is the latest accepted revision, reviewed on 23 September 2024. Discrepancy between lack of evidence of advanced alien life and apparently high likelihood it exists This article is about the absence of clear evidence of extraterrestrial life. For a type of estimation problem, see Fermi problem. Enrico Fermi (Los Alamos 1945) The Fermi paradox is ...

  8. Pearson correlation coefficient - Wikipedia

    en.wikipedia.org/wiki/Pearson_correlation...

    Pearson's correlation coefficient is the covariance of the two variables divided by the product of their standard deviations. The form of the definition involves a "product moment", that is, the mean (the first moment about the origin) of the product of the mean-adjusted random variables; hence the modifier product-moment in the name.

  9. Vector calculus identities - Wikipedia

    en.wikipedia.org/wiki/Vector_calculus_identities

    Specifically, the divergence of a vector is a scalar. The divergence of a higher-order tensor field may be found by decomposing the tensor field into a sum of outer products and using the identity, where is the directional derivative in the direction of multiplied by its magnitude. Specifically, for the outer product of two vectors,