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The game host then opens one of the other doors, say 3, to reveal a goat and offers to let the player switch from door 1 to door 2. The Monty Hall problem is a brain teaser, in the form of a probability puzzle, based nominally on the American television game show Let's Make a Deal and named after its original host, Monty Hall.
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The "Web Adventures" webisodes page was still up in December 2012, [18] but as of March 8, 2014, [19] it was changed into a redirect to the Math Games page introduced in 2011. [ 20 ] Season 1 (2002)
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Among the exponential functions of the form α x, setting α = e 2/e = 2.0870652... results in a sharp upper bound; the slightly smaller choice α = 2 fails to produce an upper bound, since then α 3 = 8 < 3 2. In applied fields the word "tight" is often used with the same meaning. [2] smooth
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The differential is another name for the Jacobian matrix of partial derivatives of a function from R n to R m (especially when this matrix is viewed as a linear map). More generally, the differential or pushforward refers to the derivative of a map between smooth manifolds and the pushforward operations it defines.