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A window screen (also known as insect screen, bug screen, fly screen, flywire, wire mesh, or window net) is designed to cover the opening of a window. It is usually a mesh made of metal, fibreglass , plastic wire, or other pieces of plastic and stretched in a frame of wood or metal.
In mathematics, a conjecture is a conclusion or a proposition that is proffered on a tentative basis without proof. [ 1 ] [ 2 ] [ 3 ] Some conjectures, such as the Riemann hypothesis or Fermat's conjecture (now a theorem , proven in 1995 by Andrew Wiles ), have shaped much of mathematical history as new areas of mathematics are developed in ...
Brauer's Height Zero Conjecture was formulated by Richard Brauer in 1955. [1] It also appeared as Problem 23 in Brauer's list of problems. [ 2 ] Brauer's Problem 12 of the same list asks whether the character table of a finite group G {\displaystyle G} determines if its Sylow p {\displaystyle p} -subgroups are abelian.
Conjecture Field Comments Eponym(s) Cites 1/3–2/3 conjecture: order theory: n/a: 70 abc conjecture: number theory: ⇔Granville–Langevin conjecture, Vojta's conjecture in dimension 1 ⇒Erdős–Woods conjecture, Fermat–Catalan conjecture Formulated by David Masser and Joseph Oesterlé. [1] Proof claimed in 2012 by Shinichi Mochizuki: n/a ...
Proofs of other theorems are examined to see if the newly found lemma or the new proof-generated concept occurs in them: this concept may be found lying at cross-roads of different proofs, and thus emerge as of basic importance. The hitherto accepted consequences of the original and now refuted conjecture are checked.
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