Search results
Results from the WOW.Com Content Network
Thomsen's theorem, = Thomsen's theorem , named after Gerhard Thomsen , is a theorem in elementary geometry. It shows that a certain path constructed by line segments being parallel to the edges of a triangle always ends up at its starting point.
Problem: (,) and (,) are known; what is ()?. Answer: () = (,) + (,). In words: the holomorphic function () can be obtained by putting = and = in (,) + (,).. Example 1 ...
Thompson uniqueness theorem (finite groups) Thomsen's theorem ; Thue's theorem (Diophantine equation) Thue–Siegel–Roth theorem (Diophantine approximation) Tietze extension theorem (general topology) Tijdeman's theorem (Diophantine equations) Tikhonov fixed-point theorem (functional analysis) Time hierarchy theorem (computational complexity ...
Midpoint theorem (triangle) Mollweide's formula; Morley's trisector theorem; N. ... Thomsen's theorem This page was last edited on 2 June 2024, at 17:31 (UTC). Text ...
For non-integrable Riesz kernels, the Poppy-seed bagel theorem holds, see the 2004 work of Hardin and Saff. [9] Notable cases include: [10] α = ∞, the Tammes problem (packing); α = 1, the Thomson problem; α = 0, to maximize the product of distances, latterly known as Whyte's problem; α = −1 : maximum average distance problem.
If in the affine version of the dual "little theorem" point is a point at infinity too, one gets Thomsen's theorem, a statement on 6 points on the sides of a triangle (see diagram). The Thomsen figure plays an essential role coordinatising an axiomatic defined projective plane. [ 6 ]
Louis Melville Milne-Thomson CBE FRSE RAS (1 May 1891 – 21 August 1974) was an English applied mathematician who wrote several classic textbooks on applied mathematics, including The Calculus of Finite Differences, Theoretical Hydrodynamics, and Theoretical Aerodynamics.
A formula for computing the trigonometric identities for the one-third angle exists, but it requires finding the zeroes of the cubic equation 4x 3 − 3x + d = 0, where is the value of the cosine function at the one-third angle and d is the known value of the cosine function at the full angle.