Animated Statistics Using R (to be moved to AniWiki!)
the Bisection Method for Root-finding on an Interval
Ideas

In mathematics, the bisection method is a root-finding algorithm which works by repeatedly dividing an interval in half and then selecting the subinterval in which a root exists.

Implementations in R

There's a function bisection.method() in the package animation for the demonstration of the Bisection Method for Root-finding on an Interval.

Animations for the Bisection Method
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Time Interval: seconds;