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2.9 × 10 14: tech: the power the Z machine reaches in 1 billionth of a second when it is fired [citation needed] 3 × 10 14: weather: Hurricane Katrina's rate of release of latent heat energy into the air. [48] 3 × 10 14: tech: power reached by the extremely high-power Hercules laser from the University of Michigan. [citation needed] 4.6 × 10 14
[2] [3] [4] It is equivalent to 1 / 400 of a turn, [5] 9 / 10 of a degree, or π / 200 of a radian. Measuring angles in gradians (gons) is said to employ the centesimal system of angular measurement, initiated as part of metrication and decimalisation efforts.
In algebraic number theory the n-th power residue symbol (for an integer n > 2) is a generalization of the (quadratic) Legendre symbol to n-th powers. These symbols are used in the statement and proof of cubic , quartic , Eisenstein , and related higher [ 1 ] reciprocity laws .
The term was coined by 9-year-old Milton Sirotta, nephew of American mathematician Edward Kasner. It was popularized in Kasner's 1940 book Mathematics and the Imagination, where it was used to compare and illustrate very large numbers. Googolplex, a much larger power of ten (10 to the googol power, or 10 10 100), was also introduced in that book.
In linear algebra, the n-th symmetric power of a vector space V is the vector subspace of the symmetric algebra of V consisting of degree-n elements (here the product is a tensor product). In algebraic topology , the n -th symmetric power of a topological space X is the quotient space X n / S n {\displaystyle X^{n}/{\mathfrak {S}}_{n}} , as in ...
400th may refer to: 400th anniversary of the Authorized King James Version, set of events and exhibitions in 2011; 400th Bombardment Group, inactive United States Air Force unit; 400th Missile Squadron, inactive United States Air Force unit; America's 400th Anniversary or Jamestown 2007 Jamestown 400th Anniversary gold five dollar coin
Fermat knew that a fourth power cannot be the sum of two other fourth powers (the n = 4 case of Fermat's Last Theorem; see Fermat's right triangle theorem). Euler conjectured that a fourth power cannot be written as the sum of three fourth powers, but 200 years later, in 1986, this was disproven by Elkies with: 20615673 4 = 18796760 4 ...
In algebra and algebraic geometry, given a commutative Noetherian ring and an ideal in it, the n-th symbolic power of is the ideal = (/) ()where is the localization of at , we set : is the canonical map from a ring to its localization, and the intersection runs through all of the associated primes of /.