increasingdecreasing
Increasingdecreasing is a term used to describe a pattern in a function, sequence, or data set where values rise over an initial interval, reach a peak, and then fall over a subsequent interval. This behavior is commonly referred to as unimodal, indicating a single turning point in the observed range.
In mathematical terms, an increasing-decreasing pattern occurs when a function increases on an interval up to
Discussions of increasingdecreasing also distinguish between a single turning point (unimodal) and patterns with multiple rises
Detection and analysis often involve peak finding, smoothing to reduce noise, and verification of monotonicity on