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Machin-like formulas for π can be constructed by finding a set of integers , =, where all the prime factorisations of + , taken together, use a number of distinct primes , and then using either linear algebra or the LLL basis-reduction algorithm to construct linear combinations of arctangents of . For example, in the Størmer formula ...
The 2025 FIA Formula 2 Championship is a planned motor racing championship for Formula 2 cars sanctioned by the Fédération Internationale de l'Automobile (FIA). The championship is the fifty-ninth season of Formula 2 racing and the ninth season run under the FIA Formula 2 Championship moniker.
The FIA Formula 2 Championship [1] is a second-tier single-seater championship organized by the Fédération Internationale de l'Automobile (FIA). Held on racing circuits, the championship was introduced in 2017, following the rebranding of the long-term Formula One feeder series GP2.
In number theory, a multiplicative function is an arithmetic function f(n) of a positive integer n with the property that f(1) = 1 and = () whenever a and b are coprime.. An arithmetic function f(n) is said to be completely multiplicative (or totally multiplicative) if f(1) = 1 and f(ab) = f(a)f(b) holds for all positive integers a and b, even when they are not coprime.
Bent Viscaal started the second race, the 100th FIA Formula 2 race, on pole position. Six drivers retired from the race, including championship leader Zhou after colliding with Ticktum at the first corner. David Beckmann took the lead from Viscaal early on, but was later passed by Jüri Vips, who claimed his first Formula 2 race win. Lawson ...
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.
Vieta's formulas can equivalently be written as < < < (=) = for k = 1, 2, ..., n (the indices i k are sorted in increasing order to ensure each product of k roots is used exactly once). The left-hand sides of Vieta's formulas are the elementary symmetric polynomials of the roots.
A formula editor is a computer program that is used to typeset mathematical formulas and mathematical expressions. Formula editors typically serve two purposes: They allow word processing and publication of technical content either for print publication, or to generate raster images for web pages or screen presentations.