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Inflection Point
Linked via "optimization inflection point"
The instantaneous rate of change of the slope's itself is quantified by the second derivative. When the second derivative is positive, the function is concave up (like a smile); when negative, it is concave down (like a frown). The inflection point marks the transition between these two states.
In fields dealing with iterative processes, such as numerical analysis, an inflection point can describe the [convergence](/entries/converg…