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El Dorado is a 1966 American Western film directed and produced by Howard Hawks and starring John Wayne and Robert Mitchum.Written by Leigh Brackett and loosely based on the novel The Stars in Their Courses by Harry Brown, the film is about a gunfighter who comes to the aid of an old friend who is a drunken sheriff struggling to defend a rancher and his family against another rancher trying to ...
The John Wayne Cancer Foundation was founded in 1985 in honor of John Wayne, after his family granted the use of his name (and limited funding) for the continued fight against cancer. [184] The foundation's mission is to "bring courage, strength, and grit to the fight against cancer". [184]
[1]: p. 35 The proportion along the top rows, starting with 1 is 0.99. The entries in each column are in proportion 0.9995. (Note that 0.9995 = 1-1/2000, allowing "tolerably easy" multiplication by halving, shifting and subtracting.) Napier uses the first column to computing the logarithm of .99, using log of .9995, which he already has.
John Wayne starred in both films, released as El Dorado in 1966 with Robert Mitchum playing a variation of Dean Martin's original role, and Rio Lobo in 1970. [33] [34] The 1976 film Assault on Precinct 13 directed by John Carpenter was inspired by the story and setting of Rio Bravo. [35]
The proof is straightforward. From the fraction itself, one can construct the quadratic equation with integral coefficients that x must satisfy. Lagrange proved the converse of Euler's theorem: if x is a quadratic irrational, then the regular continued fraction expansion of x is periodic. [4]
Lighting and reflection calculations, as in the video game OpenArena, use the fast inverse square root code to compute angles of incidence and reflection.. Fast inverse square root, sometimes referred to as Fast InvSqrt() or by the hexadecimal constant 0x5F3759DF, is an algorithm that estimates , the reciprocal (or multiplicative inverse) of the square root of a 32-bit floating-point number in ...
where a 1 = 0.0705230784, a 2 = 0.0422820123, a 3 = 0.0092705272, a 4 = 0.0001520143, a 5 = 0.0002765672, a 6 = 0.0000430638 erf x ≈ 1 − ( a 1 t + a 2 t 2 + ⋯ + a 5 t 5 ) e − x 2 , t = 1 1 + p x {\displaystyle \operatorname {erf} x\approx 1-\left(a_{1}t+a_{2}t^{2}+\cdots +a_{5}t^{5}\right)e^{-x^{2}},\quad t={\frac {1}{1+px ...
Despite what would appear to be the case for these small values, not all prime numbers that are congruent to 1 modulo 4 appear on this list, notably the fields Q(√ d) for d = 229 and d = 257 both have class number greater than 1 (in fact equal to 3 in both cases). [3]