When Is a Function Unimodal?

A function f(x) is said to be unimodal function if for some value m it is monotonically increasing for x≤m and monotonically decreasing for x≥m. For function f(x), maximum value is f(m) and there is no other local maximum.

Is convex function unimodal?

A polygon P is convex iff for every edge PiPi+l of P the function f(Zij+l -[. pj) is unimodal. This unimodality property of convex polygons is fairly well known. It allows Chazelle (5) to design efficient algorithms for detecting whether two convex polygons intersect or not.

When a data set is unimodal?

Unimodal distribution is when the data set has a single mode, like the professor's first class that scored mostly B's. Bimodal distribution is where the data set has two different modes, like the professor's second class that scored mostly B's and D's equally.