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[0; 4, 4, 8, 16, 18, 5, 1, 1, 1, 1, 7, 1, 1, 6, 2, 9, 58, 1, 3, 4, …] [OEIS 100] Computed up to 1 011 597 392 terms by E. Weisstein. He also noted that while the Champernowne constant continued fraction contains sporadic large terms, the continued fraction of the Copeland–Erdős Constant do not exhibit this property. [Mw 85]
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
Every positive integer can be expressed as the sum of at most 19 fourth powers; every integer larger than 13792 can be expressed as the sum of at most 16 fourth powers (see Waring's problem). 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).
From top to bottom: x 1/8, x 1/4, x 1/2, x 1, x 2, x 4, x 8. If x is a nonnegative real number, and n is a positive integer, / or denotes the unique nonnegative real n th root of x, that is, the unique nonnegative real number y such that =.
The Hubble constant (once in 13.8 billion years) 10 −17: 10 aHz ~79 aHz: Supercontinent cycle (about every 400 million years) 10 −16: 100 aHz ~137.8 aHz: Once per galactic year (about every 230 million years) 10 −15: 1 femtohertz (fHz) ~3 fHz: Sound waves created by a supermassive black hole in the Perseus cluster [1] 10 −14: 10 fHz ~31 ...
Where a power of ten has different names in the two conventions, the long scale name is shown in parentheses. The positive 10 power related to a short scale name can be determined based on its Latin name-prefix using the following formula: 10 [(prefix-number + 1) × 3] Examples: billion = 10 [(2 + 1) × 3] = 10 9; octillion = 10 [(8 + 1) × 3 ...
Although attempts at a general introduction were made, the unit was only adopted in some countries, and for specialised areas such as surveying, [15] [7] [16] mining [17] and geology. [ 18 ] [ 19 ] Today, the degree, 1 / 360 of a turn , or the mathematically more convenient radian , 1 / 2 π of a turn (used in the SI system of ...
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 ...
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