knikpunten

Knikpunt is a Dutch term that denotes a turning point or bend in a curve or process. In mathematics the term is often used synonymously with inflection point—points on a graph where the curvature changes sign. At a knikpunt the second derivative may be zero or undefined, but not every point with a zero second derivative is necessarily a knikpunt unless the concavity actually changes.

In statistical modelling and data analysis, a knikpunt can refer to a breakpoint where a trend changes slope, as in piecewise linear regression or time-series segmentation.

In engineering and physics, knikpunt can denote the critical load at which a structural element buckles, i.e., a buckling point where stiffness is lost and deflection grows rapidly.

Beyond formal definitions, knikpunt is also used more loosely to describe turning points in processes, policy, or historical development: moments when progress or growth shifts direction.

Etymology: from knik (bend) and punt (point).

See also: inflection point, breakpoint, buckling, turning point.