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  2. Dimensional analysis - Wikipedia

    en.wikipedia.org/wiki/Dimensional_analysis

    A simple application of dimensional analysis to mathematics is in computing the form of the volume of an n-ball (the solid ball in n dimensions), or the area of its surface, the n-sphere: being an n-dimensional figure, the volume scales as x n, while the surface area, being (n − 1)-dimensional, scales as x n−1.

  3. Buckingham π theorem - Wikipedia

    en.wikipedia.org/wiki/Buckingham_π_theorem

    An example of dimensional analysis can be found for the case of the mechanics of a thin, solid and parallel-sided rotating disc. There are five variables involved which reduce to two non-dimensional groups. The relationship between these can be determined by numerical experiment using, for example, the finite element method. [10]

  4. Fermi problem - Wikipedia

    en.wikipedia.org/wiki/Fermi_problem

    A Fermi problem (or Fermi quiz, Fermi question, Fermi estimate), also known as an order-of-magnitude problem (or order-of-magnitude estimate, order estimation), is an estimation problem in physics or engineering education, designed to teach dimensional analysis or approximation of extreme scientific calculations.

  5. High-dimensional statistics - Wikipedia

    en.wikipedia.org/wiki/High-dimensional_statistics

    Illustration of the linear model in high-dimensions: a data set consists of a response vector and a design matrix with .Our goal is to estimate the unknown vector = (, …,) of regression coefficients where is often assumed to be sparse, in the sense that the cardinality of the set := {:} is small by comparison with .

  6. List of physical quantities - Wikipedia

    en.wikipedia.org/wiki/List_of_physical_quantities

    The quantity proportional to the number of particles in a sample, with the Avogadro constant as the proportionality constant: mole (mol) N: extensive, scalar Length: l: The one-dimensional extent of an object metre (m) L: extensive: Time: t: The duration of an event: second (s) T: scalar, intensive, extensive: Mass: m: A measure of resistance ...

  7. Complex geometry - Wikipedia

    en.wikipedia.org/wiki/Complex_geometry

    In mathematics, complex geometry is the study of geometric structures and constructions arising out of, or described by, the complex numbers.In particular, complex geometry is concerned with the study of spaces such as complex manifolds and complex algebraic varieties, functions of several complex variables, and holomorphic constructions such as holomorphic vector bundles and coherent sheaves.

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