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The Basel problem is a problem in mathematical analysis with relevance to number theory, concerning an infinite sum of inverse squares.It was first posed by Pietro Mengoli in 1650 and solved by Leonhard Euler in 1734, [1] and read on 5 December 1735 in The Saint Petersburg Academy of Sciences. [2]
Name First elements Short description OEIS Mersenne prime exponents : 2, 3, 5, 7, 13, 17, 19, 31, 61, 89, ... Primes p such that 2 p − 1 is prime.: A000043 ...
A hexagram or sexagram is a six-pointed geometric star figure with the Schläfli symbol {6/2}, 2{3}, or {{3}}. The term is used to refer to a compound figure of two equilateral triangles. The intersection is a regular hexagon.
The 3 ft 6 in (1,067 mm) Cape gauge 2-6-2+2-6-2 locomotives of the SAR entered service between 1921 and 1929. SAR Class GB no. 2166. In 1921, a single experimental Class GB Garratt entered service, followed by six more in 1924, designed and built by BP. They were superheated, with Belpaire fireboxes, plate frames and Walschaerts valve gear.
(If n ≡ 1 mod 3, then (b+1)·b n + 1 is divisible by b 2 + b + 1; if n ≡ 4 mod 6, then (b−1)·b n − 1 is divisible by b 2 − b + 1; and if n ≡ 1 mod 6, then (b−1)·b n + 1 is divisible by b 2 − b + 1) Otherwise, the corresponding polynomial to b is an irreducible polynomial, so if Bunyakovsky conjecture is true, then there are ...
First six summands drawn as portions of a square. The geometric series on the real line. In mathematics, the infinite series 1 / 2 + 1 / 4 + 1 / 8 + 1 / 16 + ··· is an elementary example of a geometric series that converges absolutely.
A Red Ball Express truck gets stuck in the mud during World War II, 1944. 1971 AM General M35A2 with winch and camouflage cargo cover. The 2 + 1 ⁄ 2-ton, 6×6 truck was a standard class of medium duty trucks, designed at the beginning of World War II for the US Armed Forces, in service for over half a century, from 1940 into the 1990s.
All are implicit methods, have order 2s − 2 and they all have c 1 = 0 and c s = 1. Unlike any explicit method, it's possible for these methods to have the order greater than the number of stages. Unlike any explicit method, it's possible for these methods to have the order greater than the number of stages.