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 1d awarded Popular Question Apr20 awarded Notable Question Jan16 awarded Yearling Jan10 awarded Popular Question Dec18 comment What needs to be linear for the problem to be considered linear? @hardmath I think the first answer is about the linear problems. With linear programs you are referring to LP? Yes I tagged this under linear-programming (LP). Did I understand your question? Dec18 accepted Why nonlinear programming problem (NLO) called “nonlinear”? What does “nonlinearity” actually mean? Is it “not linear” or something different? Dec18 accepted Difference between Variation of Calculus problems and Control Theory problems? Dec13 awarded Popular Question Dec12 awarded Caucus Nov16 awarded Notable Question Oct30 awarded Popular Question Sep30 awarded Explainer Sep29 revised Monty Hall problem extended with expectations i.e. prior probabilities The strategy apparently requires a subgame perfect equilibrium to be optimal Sep29 comment Monty Hall problem extended with expectations i.e. prior probabilities @Eupraxis1981 Good question. I have developed following. Strategy A is: "Monty chooses the door with the smallest expected probability until the last two doors. When only two doors left, Monty chooses the door with the highest probability." Strategy B is: "Monty chooses any door but not door with the highest probability and not the door with the lowest probability. When two doors left, Monty chooses the door with the highest probability." I don't know the optimal strategy, this may have been researched in the context of subgame perfect equilibrium in game-theory. Inspiring. Sep29 asked Monty Hall problem extended with expectations i.e. prior probabilities Sep24 awarded Autobiographer Aug31 comment What is the system equation $f$ in Hamilton equation in $H=g+p^Tf$? Researching this: found some awesome Harvard university material here and some, deep stuff! Taking time read this and dig into! Aug31 comment What is the system equation $f$ in Hamilton equation in $H=g+p^Tf$? +1! I love this writing style! What is $H$? What is Hamilton equation? I am puzzled by Hamilton equations because there looks to be many of them, want to learn this detail thoroughly... Aug31 comment Euler equation for $\int_0^{\infty}e^{-rt}(x^2+2x+\dot x^2) \ \mathrm dt$? Is $\infty$ in the boundary open or closed? So is the boundary closed or open in $\mathbb R$? I think $t_f$ is closed because no neighborhood coming from $\infty$. And $t_i$ is open because of the neighbourhood coming from negative side. So the $[t_i,t_f[$ is clopen (Its complement $]-\infty,0_-[$ is open set). Hmmm...I need to understand it better what closed boundary and open boundary means? Aug28 comment What is the system equation $f$ in Hamilton equation in $H=g+p^Tf$? What about the third necessary condition for Hamiltonan $\frac{\partial H}{\partial u}=0$, where does it come from? $\dot x=f(x,t,u)$ is the first condition and $\dot p=\frac{\partial H}{\partial x}$ is the second.