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===Solving transcendental equations=== Many [[transcendental equation]]s can be solved up to an arbitrary precision by using Newton's method. For example, finding the cumulative [[probability density function]], such as a [[Normal distribution]] to fit a known probability generally involves integral functions with no known means to solve in closed form. However, computing the derivatives needed to solve them numerically with Newton's method is generally known, making numerical solutions possible. For an example, see the numerical solution to the [[Normal distribution#Using the Taylor series and Newton's method for the inverse function|inverse Normal cumulative distribution]].
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