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Duplication, or doubling, multiplication by 2; Duplication matrix, a linear transformation dealing with half-vectorization; Doubling the cube, a problem in geometry also known as duplication of the cube; A type of multiplication theorem called the Legendre duplication formula or simply "duplication formula"
The duplication formula and the multiplication theorem for the gamma function are the prototypical examples. The duplication formula for the gamma function is (+) = ().It is also called the Legendre duplication formula [1] or Legendre relation, in honor of Adrien-Marie Legendre.
In geometry and mathematical biology, a biconcave disc — also referred to as a discocyte [1] — is a geometric shape resembling an oblate spheroid with two concavities on the top and on the bottom. Biconcave discs appear in the study of cell biology, as an approximation to the shape of certain cells, including red blood cells.
The duplication matrix is the unique (+) matrix which, for any ... The explicit formula for calculating the duplication matrix for a ...
The formula for the acceleration A P can now be obtained as: = ˙ + + (), or = / + / +, where α is the angular acceleration vector obtained from the derivative of the angular velocity vector; / =, is the relative position vector (the position of P relative to the origin O of the moving frame M); and = ¨ is the acceleration of the origin of ...
NFL head coaches are hired to be fired. Very few get a storybook ending. Here's the latest on coach hot seats entering Black Monday.
With the start of a new year on Jan. 1, 2025, comes the emergence of a new generation. 2025 marks the end of Generation Alpha and the start of Generation Beta, a cohort that will include all ...
Distance geometry is the branch of mathematics concerned with characterizing and studying sets of points based only on given values of the distances between pairs of points. [ 1 ] [ 2 ] [ 3 ] More abstractly, it is the study of semimetric spaces and the isometric transformations between them.