In probability theory, an event is said to happen almost surely (sometimes abbreviated as a.s.) if it happens with probability 1 (with respect to the...

time will almost surely type any given text, including the complete works of William Shakespeare. In fact, the monkey would almost surely type every...

converges almost completely, or almost in probability towards X. When Xn converges almost completely towards X then it also converges almost surely to X....

Almost periodic function - and Operators Almost all Almost surely Approximation List of mathematical jargon "Almost All Real Numbers are Transcendental -...

{\mathcal {F}}} is called almost surely invariant if and only if its indicator function 1 S {\displaystyle 1_{S}} is almost surely equal to the indicator...

{ X n } {\displaystyle \{X_{n}\}} converges to X {\displaystyle X} almost surely, it means that the set of points O = { ω ∣ lim X n ( ω ) ≠ X ( ω ) }...

complement is of measure zero. In probability theory, the terms almost surely, almost certain and almost always refer to events with probability 1 not necessarily...

{\mathcal {N}}(0,u).} W {\displaystyle W} has almost surely continuous paths: W t {\displaystyle W_{t}} is almost surely continuous in t {\displaystyle t} . That...

\alpha }} has almost surely pure point spectrum and exhibits Anderson localization. (It is known that almost surely can not be replaced by surely.) That the...

generally, "almost all" is sometimes used in the sense of "almost everywhere" in measure theory, or in the closely related sense of "almost surely" in probability...