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Ramanujan's sum. Not to be confused with Ramanujan summation. In number theory, Ramanujan's sum, usually denoted cq ( n ), is a function of two positive integer variables q and n defined by the formula. where ( a, q) = 1 means that a only takes on values coprime to q . Srinivasa Ramanujan mentioned the sums in a 1918 paper. [1]
A Riemann problem, named after Bernhard Riemann, is a specific initial value problem composed of a conservation equation together with piecewise constant initial data which has a single discontinuity in the domain of interest. The Riemann problem is very useful for the understanding of equations like Euler conservation equations because all ...
Mary Winston Jackson (1921–2005), degree from Hampton Institute. Eleanor Green Dawley Jones (1929-2021), degrees from Howard University, Syracuse University (PhD). Abdulalim A. Shabazz (1927–2014), degrees from Lincoln University (Pennsylvania), Massachusetts Institute of Technology (MIT), Cornell University (PhD).
A worksheet, in the word's original meaning, is a sheet of paper on which one performs work. They come in many forms, most commonly associated with children's school work assignments, tax forms, and accounting or other business environments. Software is increasingly taking over the paper-based worksheet. It can be a printed page that a child ...
Diana, Princess of Wales (born Diana Frances Spencer; 1 July 1961 – 31 August 1997) was a member of the British royal family. She was the first wife of Charles III (then Prince of Wales) and mother of Princes William and Harry. Her activism and glamour, which made her an international icon, earned her enduring popularity.
Ptolemy's theorem states that the sum of the products of the lengths of opposite sides is equal to the product of the lengths of the diagonals. When those side-lengths are expressed in terms of the sin and cos values shown in the figure above, this yields the angle sum trigonometric identity for sine: sin(α + β) = sin α cos β + cos α sin β.
In computer science and mathematics, the Josephus problem (or Josephus permutation) is a theoretical problem related to a certain counting-out game. Such games are used to pick out a person from a group, e.g. eeny, meeny, miny, moe . A drawing for the Josephus problem sequence for 500 people and skipping value of 6.
Gauss sum. In algebraic number theory, a Gauss sum or Gaussian sum is a particular kind of finite sum of roots of unity, typically. where the sum is over elements r of some finite commutative ring R, ψ is a group homomorphism of the additive group R+ into the unit circle, and χ is a group homomorphism of the unit group R× into the unit ...
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