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Therefore, neither 3 nor 4 divide v. Substituting u by w in the equation for z 3 yields −z 3 = 6w(9w 2 + 3v 2) = 18w(3w 2 + v 2) Because v and w are coprime, and because 3 does not divide v, then 18w and 3w 2 + v 2 are also coprime. Therefore, since their product is a cube, they are each the cube of smaller integers, r and s. 18w = r 3 3w 2 ...
In probability theory and statistics, a normal distribution or Gaussian distribution is a type of continuous probability distribution for a real-valued random variable.The general form of its probability density function is [2] [3] = ().
92 ft 6 in (28.2 m) Height: 175 ft (53.3 m) (keel to top of funnels) Draught: 34 ft 7 in (10.5 m) Depth: 64 ft 6 in (19.7 m) Decks: 9 (A–G) Installed power: 24 double-ended and five single-ended boilers feeding two reciprocating steam engines for the wing propellers, and a low-pressure turbine for the centre propeller; [3] output: 46,000 HP ...
While it is in general not possible to divide one natural number by another and get a natural number as result, the procedure of division with remainder or Euclidean division is available as a substitute: for any two natural numbers a and b with b ≠ 0 there are natural numbers q and r such that
Decimal fractions like 0.3 and 25.12 are a special type of rational numbers since their denominator is a power of 10. For instance, 0.3 is equal to , and 25.12 is equal to . [20] Every rational number corresponds to a finite or a repeating decimal. [21] [c]
California (/ ˌ k æ l ɪ ˈ f ɔːr n j ə /) is a state in the Western region of the United States that lies on the Pacific Coast.It borders Oregon to the north, Nevada and Arizona to the east, and shares an international border with the Mexican state of Baja California to the south.
A planet will tend towards a state of radiative equilibrium, in which the power of outgoing radiation equals the power of absorbed incoming radiation. [ 47 ] Earth's energy imbalance is the amount by which the power of incoming sunlight absorbed by Earth's surface or atmosphere exceeds the power of outgoing longwave radiation emitted to space.