Almost surely definition
Almost surely means the same as “with probability one” and is used to refer to the fact that the statement concerned holds everywhere on the probability space with the exception of a set of events with measure zero.
Almost surely means ‘with probability 1’
Almost surely or “with high probability” means that some event occurs with probability 1 − o(1).
More Definitions of Almost surely
Almost surely. , or “a.s.”, means “with probability one”.