Robert II (bishop of Tours)

Robert had gone to Rome and was returning to his diocese. In the Alps he and his companions were attacked by brigands and slain.

Robert II was bishop of Tours from 916 to 931.

Sources

Flodoard of Reims, Annals of Flodoard of Reims, tran. Steven Fanning and Bernard S. Bachrach. (Orchard Park, New York: Broadview Press, 2004) p. 20

gollark: ```haskellimport Data.Listimport Data.Bits fib :: Int -> Integerfib n = snd . foldl_ fib_ (1, 0) . dropWhile not $ [testBit n k | k <- let s = bitSize n in [s-1,s-2..0]] where fib_ (f, g) p | p = (f*(f+2*g), ss) | otherwise = (ss, g*(2*f-g)) where ss = f*f+g*g foldl_ = foldl' -- '```

gollark: import Data.Listimport Data.Bits fib :: Int -> Integerfib n = snd . foldl_ fib_ (1, 0) . dropWhile not $ [testBit n k | k <- let s = bitSize n in [s-1,s-2..0]] where fib_ (f, g) p | p = (f*(f+2*g), ss) | otherwise = (ss, g*(2*f-g)) where ss = f*f+g*g foldl_ = foldl' -- '

gollark: 3.1 Using 2x2 matricesThe argument of iterateabove is a linear transformation, so we can represent it as matrix and compute the nth power of this matrix with O(log n) multiplications and additions.For example, using the simple matrix implementation in Prelude extensions,fib n = head (apply (Matrix [[0,1], [1,1]] ^ n) [0,1])

gollark: 0, 1, 1, 2, 3...

gollark: d o n ' t c h a n g e p e r

This article is issued from Wikipedia. The text is licensed under Creative Commons - Attribution - Sharealike. Additional terms may apply for the media files.