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In geometry, the hinge theorem (sometimes called the open mouth theorem) states that if two sides of one triangle are congruent to two sides of another triangle, and the included angle of the first is larger than the included angle of the second, then the third side of the first triangle is longer than the third side of the second triangle. [1]
Hindman's theorem (Ramsey theory) Hinge theorem ; Hironaka theorem (algebraic geometry) Hirzebruch signature theorem (topology, algebraic geometry) Hirzebruch–Riemann–Roch theorem (complex manifolds) Hjelmslev's theorem ; Hobby–Rice theorem (mathematical analysis) Hodge index theorem (algebraic surfaces)
In mathematics, ideas are supposedly not accepted as fact until they have been rigorously proved. However, there have been some ideas that were fairly accepted in the past but which were subsequently shown to be false. The following list is meant to serve as a repository for compiling a list of such ideas.
For example, a Fourier series of sine and cosine functions, all continuous, may converge pointwise to a discontinuous function such as a step function. Carmichael's totient function conjecture was stated as a theorem by Robert Daniel Carmichael in 1907, but in 1922 he pointed out that his proof was incomplete. As of 2016 the problem is still open.
The lands would remain open to mining claims, the Interior Department said. "The Ruby Mountains are cherished by local communities for their scenic value, cultural heritage, numerous wildlife and ...
Arizona authorities believe a man was lured out of his home to his death by a stranger seeking help with his car. Paul Clifford, 53, was found dead near a "smoldering vehicle" by Redington Pass in ...
The texts under the forged pictures, as well as previously unreadable texts, were revealed by analyzing images produced by ultraviolet, infrared, visible and raking light, and X-ray. All images and transcriptions are now freely available on the web at the Archimedes Digital Palimpsest under the Creative Commons License CC BY. [10] [11] [12]
Hinge. The best way to truly succeed on a dating app is by being transparent. This is one of the best Hinge prompts because it allows you to give your potential suitor a little glimpse of what it ...