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  2. Gauss circle problem - Wikipedia

    en.wikipedia.org/wiki/Gauss_circle_problem

    Another generalization is to calculate the number of coprime integer solutions , to the inequality m 2 + n 2 ≀ r 2 . {\displaystyle m^{2}+n^{2}\leq r^{2}.\,} This problem is known as the primitive circle problem , as it involves searching for primitive solutions to the original circle problem. [ 9 ]

  3. Radius of convergence - Wikipedia

    en.wikipedia.org/wiki/Radius_of_convergence

    Two cases arise: The first case is theoretical: when you know all the coefficients then you take certain limits and find the precise radius of convergence.; The second case is practical: when you construct a power series solution of a difficult problem you typically will only know a finite number of terms in a power series, anywhere from a couple of terms to a hundred terms.

  4. List of centroids - Wikipedia

    en.wikipedia.org/wiki/List_of_centroids

    The following is a list of centroids of various two-dimensional and three-dimensional objects. The centroid of an object in -dimensional space is the intersection of all hyperplanes that divide into two parts of equal moment about the hyperplane.

  5. Sagitta (geometry) - Wikipedia

    en.wikipedia.org/wiki/Sagitta_(geometry)

    When the sagitta is small in comparison to the radius, it may be approximated by the formula [2] s β‰ˆ l 2 8 r . {\displaystyle s\approx {\frac {l^{2}}{8r}}.} Alternatively, if the sagitta is small and the sagitta, radius, and chord length are known, they may be used to estimate the arc length by the formula

  6. Centroid - Wikipedia

    en.wikipedia.org/wiki/Centroid

    In mathematics and physics, the centroid, also known as geometric center or center of figure, of a plane figure or solid figure is the arithmetic mean position of all the points in the surface of the figure. [further explanation needed] The same definition extends to any object in -dimensional Euclidean space. [1]

  7. Circle - Wikipedia

    en.wikipedia.org/wiki/Circle

    Using radians, the formula for the arc length s of a circular arc of radius r and subtending a central angle of measure πœƒ is =, and the formula for the area A of a circular sector of radius r and with central angle of measure πœƒ is A = 1 2 ΞΈ r 2 . {\displaystyle A={\frac {1}{2}}\theta r^{2}.}

  8. Radial basis function - Wikipedia

    en.wikipedia.org/wiki/Radial_basis_function

    A radial function is a function : [,).When paired with a norm on a vector space β€– β€–: [,), a function of the form = (β€– β€–) is said to be a radial kernel centered at .A radial function and the associated radial kernels are said to be radial basis functions if, for any finite set of nodes {} =, all of the following conditions are true:

  9. Circumference - Wikipedia

    en.wikipedia.org/wiki/Circumference

    The above formula can be rearranged to solve for the circumference: = =. The ratio of the circle's circumference to its radius is equivalent to 2 Ο€ {\displaystyle 2\pi } . [ a ] This is also the number of radians in one turn .