Talk:Gap theorem

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Disambig[edit]

There are also the Weierstrass gap theorem and Hadamard gap theorem, though. Charles Matthews 15:12, 13 November 2005 (UTC)[reply]

There's also a "gap theorem" in fourier analysis, extended by Levin. It has to do with the fourier spectrum of functions that are flat in an interval. Related to this is the Fredholm's theorem about the existance of solutions when a function is orthogonal to a set of solutions. linas 19:38, 12 March 2006 (UTC)[reply]

Context[edit]

The article gives little or no context about the place of the theorem in complexity theory. What was its reason and what are its consequences? The article ways it is "important". How? Mukadderat 19:22, 20 November 2006 (UTC)[reply]

The importance of the Boridin Gap Theorem, also known as the Borodin-Trakhtenbrot Gap Theorem, is explained in a journal article by Benjamin Schaeffer in the Annals of Pure and Applied Logic, vol 115, pp 195-231 (2002). I also find that the current article gives the reader no "feeling" for what the theorem really means. Vegasprof 17:35, 3 April 2007 (UTC)[reply]

Triviality[edit]

It is not clear what prevents us from taking T(n) to be constant, and then the theorem trivially follows. 80.74.127.228 (talk) 05:59, 8 August 2017 (UTC)[reply]