Sequentially localizable functionals.

A standard way of finding the unique zero on (0, 1) of a continuous decreasing functions with f(0) f(1)< 0, is to test the sign of f(1/2), then the sign of f(1/4) (if f(1/2)< 0) or the sign of f(3/4) (if f(1/2) >0), etc. In this way, the zero of f is localized in n steps to an interval of length 2⁻ⁿ... View More