![]() Suppose the probability to throw tails is given by b (a fair coin has b=0. The power of an experiment is 1 minus the probability of a type II error (i.e., anouncing 'no effect', whereas there is an effect in reality).Īs an example I chose an experiment to determine whether a coin is fair. ![]() I have an implicit function, for example: f (x,y) x3 + xy + y2 - 36. I'm playing with the new probabilistic functions of Mathematica 8. Find root of implicit function in Mathematica. Mathematica Stack Exchange is a question and answer site for users of Wolfram Mathematica. Solve works symbolically much as you do when solving equations. MSQRT12, 0.70710678118654752440, Returns the square root of 1/2: 1/sqrt(2). I want to find the analytical roots of this polynomial - x - a3x(a2x(ax(x - 1) + 1)(x - 1) + 1)(ax(x - 1) + 1)(x - 1) Solve gives the first 2 roots as x0 and x1-1/a while the other 6. Mathematica provides two general-purpose functions for solving equations, Solve and FindRoot. ![]() First some non-essential context for fun. M2SQRTPI, 1.12837916709551257390, Returns 2/square root of PI: 2/sqrt(pi). ![]()
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