MINIMUM REQUIREMENTS TO SEND $20 TO A FRIEND:
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Pay(ID) requirement: a username.
minimum wage in some states is still $7.25 an hour.
meanwhile a single pretzel and drink at the mall costs more than that now.
crazy knowing someone can work a full hour and still not afford a snack.
very clearly define the minimum bar that you will accept for yourself
the smallest amount of workout that you will still count as exercise for the day
the one thing at work that if you accomplish today you can claim you moved the mission forward
the minimum effort that you need to put into an important relationship in your life
then hold yourself to those each day and nothing more, telling yourself you did enough
Every local minimum is global.
When both the objective and the feasible set are convex, a point that cannot be improved in any neighborhood cannot be improved anywhere. The geometry itself forbids hidden valleys; first-order stationarity is already optimality.
The same fact, isolated in the study of convex bodies around 1900, is why linear programs, positive-semidefinite quadratic programs, and a wide family of modern learning problems can be solved to proven global optimality.