Can a discontinuous function have absolute extrema on a closed interval?

Aug 24, 2023 ... ... extreme values predicted by the state-action value function distribution. To achieve this, we formulate the extreme values of the state ... If a function f is continuous on [a,b], then it attains its maximum and minimum values on [a,b]. Proof: We prove the case that f attains its maximum value on [ ... The function f(x) = x3 has no global maximum nor minimum at all. We can however look at global maxima on finite intervals. Example: Let us look at the example ... Jun 28, 2017 ... I need to generate the inverse distribution function of the extreme value distribution with mean 1.5 and scale parameter 0.2 for that variable. An extremum (or extreme value) of a function is a point at which a maximum or minimum value of the function is obtained in some interval. The calculator will try to find the critical (stationary) points, the relative (local) and absolute (global) maxima and minima of the single variable function. Sep 9, 2023 ... This notebook demonstrates how to implement user defined probability functions in Stan language. As an example I use the generalized Pareto distribution (GPD) ... May 1, 2006 ... Generalised extreme value models provide an interesting theoretical ... The form of the model, based on a generating function G which must satisfy ... The Extreme Value Theorem guarantees both a maximum and minimum value for a function under certain conditions. Aug 29, 2007 ... We introduce a "resonance" method to produce large values of |\zeta(1/2+it)| and large and small central values of L-functions.