Search results
Results from the WOW.Com Content Network
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.
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 ...
Example 2: = + ... He is really interested in problems 3 and 4, but the answers to the easier problems 1 and 2 are needed for proving the answers to ...
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 general theorem of Matiyasevich says that if a set is defined by a system of Diophantine equations, it can also be defined by a system of Diophantine equations in only 9 variables. [8] Hence, there is a prime-generating polynomial inequality as above with only 10 variables. However, its degree is large (in the order of 10 45). On the other ...
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.