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Tutte's conjectures: every bridgeless graph has a nowhere-zero 5-flow [ 135] every Petersen - minor -free bridgeless graph has a nowhere-zero 4-flow [ 136] Woodall's conjecture that the minimum number of edges in a dicut of a directed graph is equal to the maximum number of disjoint dijoins.
The Hadwiger–Nelson problem is to find the chromatic number of G. As a consequence, the problem is often called "finding the chromatic number of the plane". By the de Bruijn–Erdős theorem, a result of de Bruijn & Erdős (1951), the problem is equivalent (under the assumption of the axiom of choice) to that of finding the largest possible ...
Dangerous throw (Grade 4) 9 matches (965 demerit points) 2000: Round 15: Stephen Kearney: Dangerous throw (Grade 3) 8 matches (884 demerit points) 2006: Round 4: Billy Slater: Kicking (Grade 5) 7 matches (788 demerit points) 2014: Round 3: Jordan McLean: Dangerous throw (Grade 2) 7 matches (700 demerit points) 2001: Round 1: Rodney Howe ...
Potato paradox. The potato paradox is a mathematical calculation that has a counter-intuitive result. The Universal Book of Mathematics states the problem as such: [ 1] Fred brings home 100 kg of potatoes, which (being purely mathematical potatoes) consist of 99% water (being purely mathematical water). He then leaves them outside overnight so ...
Internal set theory. Internal set theory ( IST) is a mathematical theory of sets developed by Edward Nelson that provides an axiomatic basis for a portion of the nonstandard analysis introduced by Abraham Robinson. Instead of adding new elements to the real numbers, Nelson's approach modifies the axiomatic foundations through syntactic enrichment.
The competition consists of a 45-minute timed test, comprising 20 math problems. History. The Noetic Learning math contest was founded in 2007 by Li Kelty. The company is based in Overland Park, Kansas. The contest has grown over the years, with participants from various schools across the United States.
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