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The (−2, 3, 7) pretzel knot has 7 exceptional slopes, Dehn surgery slopes which give non-hyperbolic 3-manifolds. Among the enumerated knots, the only other hyperbolic knot with 7 or more is the figure-eight knot, which has 10. All other hyperbolic knots are conjectured to have at most 6 exceptional slopes. A pretzel (−2,3,7) pretzel knot.
An orange that has been sliced into two halves. In mathematics, division by two or halving has also been called mediation or dimidiation. [1] The treatment of this as a different operation from multiplication and division by other numbers goes back to the ancient Egyptians, whose multiplication algorithm used division by two as one of its fundamental steps. [2]
Richard Phillips Feynman (/ ˈ f aɪ n m ə n /; May 11, 1918 – February 15, 1988) was an American theoretical physicist.He is best known for his work in the path integral formulation of quantum mechanics, the theory of quantum electrodynamics, the physics of the superfluidity of supercooled liquid helium, and in particle physics, for which he proposed the parton model.
Entering Thursday, Butler is averaging 18.5 points, 5.8 rebounds and 4.9 assists in 20 games (all starts) this season while shooting a career-best 55.2 percent from the field.
The lawsuit, filed on March 19 in U.S. District Court in Southern Florida, accused Stephanopoulos of making the statements with malice and a disregard for the truth. It said the statements were ...
Among the exponential functions of the form α x, setting α = e 2/e = 2.0870652... results in a sharp upper bound; the slightly smaller choice α = 2 fails to produce an upper bound, since then α 3 = 8 < 3 2. In applied fields the word "tight" is often used with the same meaning. [2] smooth
Berkshire Hathaway (NYSE: BRK.A)(NYSE: BRK.B) owns a stock portfolio worth roughly $300 billion with about four dozen individual stocks in it. Legendary stock-picker Warren Buffett himself hand ...
When q ≠ 2, the group is simple, and when q = 2, it has a simple subgroup of index 2 isomorphic to 2 A 2 (3 2), and is the automorphism group of a maximal order of the octonions. The Janko group J 1 was first constructed as a subgroup of G 2 (11). Ree (1960) introduced twisted Ree groups 2 G 2 (q) of order q 3 (q 3 + 1)(q − 1) for q = 3 2n ...