Re: Usage of the phrase "Almost Surely"
- From: Tonico <Tonicopm@xxxxxxxxx>
- Date: Mon, 13 Aug 2007 01:10:02 -0700
On Aug 13, 10:55 am, junoexpress <MTBrenne...@xxxxxxxxx> wrote:
Hi,*******************************************************************
I am curious if this is an appropriate use of the term "almost
surely". I tend to do analysis of problems of 2 and 3 variables, where
I'll want to show that they do not satisfy some simple algebraic
condition. Often it will happen that the condition is not satisfied
*except* at a finite number of values. In practice, these cases would
never actually be realized because they have measure zero in the set
of values of interest to me. Would it be an abuse of terminology to
say that "such and such a condition is not satisfied (say in R^2)
almost surely"?
TIA,
Matt
As long as you properly define the term "almost surely", there should
be no problem at all.
Why not use the more widespread and known "almost always", though? If,
after all, what you do apply everywhere except perhaps in a set of
measure zero, then this is exactly the meaning of a.a....
Regards
Tonio
.
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- From: junoexpress
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