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Let p be an interior point of the disk, and let n be a multiple of 4 that is greater than or equal to 8. Form n sectors of the disk with equal angles by choosing an arbitrary line through p, rotating the line n / 2 − 1 times by an angle of 2 π / n radians, and slicing the disk on each of the resulting n / 2 lines.
Pitot theorem (plane geometry) Pizza theorem ; Pivot theorem ; Planar separator theorem (graph theory) Plancherel theorem (Fourier analysis) Plancherel theorem for spherical functions (representation theory) Poincaré–Bendixson theorem (dynamical systems) Poincaré–Birkhoff–Witt theorem (universal enveloping algebras)
The FBISE was established under the FBISE Act 1975. [2] It is an autonomous body of working under the Ministry of Federal Education and Professional Training. [3] The official website of FBISE was launched on June 7, 2001, and was inaugurated by Mrs. Zobaida Jalal, the Minister for Education [4] The first-ever online result of FBISE was announced on 18 August 2001. [5]
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In 1961, Jan-Erik Roos published an incorrect theorem about the vanishing of the first derived functor of the inverse limit functor under certain general conditions. [14] However, in 2002, Amnon Neeman constructed a counterexample. [15] Roos showed in 2006 that the theorem holds if one adds the assumption that the category has a set of ...
Proof without words of the Nicomachus theorem (Gulley (2010)) that the sum of the first n cubes is the square of the n th triangular number. In mathematics, a proof without words (or visual proof) is an illustration of an identity or mathematical statement which can be demonstrated as self-evident by a diagram without any accompanying explanatory text.
Abraham Wald (/ w ɔː l d /; Hungarian: Wald Ábrahám, Yiddish: אברהם וואַלד; () 31 October 1902 – () 13 December 1950) was a Jewish Hungarian mathematician who contributed to decision theory, [1] geometry and econometrics, and founded the field of sequential analysis. [2]
The Millennium Prize Problems are seven well-known complex mathematical problems selected by the Clay Mathematics Institute in 2000. The Clay Institute has pledged a US $1 million prize for the first correct solution to each problem.