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info - CMSC 351:Fall 2011 Clyde Kruskal Information CMSC351...

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Unformatted text preview: CMSC 351:Fall 2011 Clyde Kruskal Information CMSC351 Quadratic Formula. ax 2 + bx + c = 0 ⇒ x = − b ± √ b 2 − 4 ac 2 a Logarithms. a = b log b a log c ( ab ) = log c a + log c b log b a n = n log b a log b a = log c a log c b log b (1 /a ) = − log b a log b a = 1 log a b a log b n = n log b a Stirling’s Formula. n ! ≈ parenleftbigg n e parenrightbigg n √ 2 πn Probability. E[ X ] = summationdisplay x x Pr { X = x } , Var[ X ] = E[( X − E( X )) 2 ] = E[ X 2 ] − E 2 [ X ] , σ [ X ] = radicalBig Var[ X ] ....
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