MathOverflow is a question and answer site for professional mathematicians. It's 100% free, no registration required.

Sign up
Here's how it works:
  1. Anybody can ask a question
  2. Anybody can answer
  3. The best answers are voted up and rise to the top

I know some basic logic symbols, but i'm not sure what this formula means:


Full paper:

in particular, what is the subscript "1<=i

and the N with the A superscript. the multiple typefaces of "A".

this is beyond the basic and/or/exists/forall that i know in basic logic

is there a statement of this formula and its conditions in english words?


Updated: oops my bad, I should've read the part where they defined it!

share|cite|improve this question

closed as not a real question by Andy Putman, Yemon Choi, Victor Protsak, Robin Chapman, Qiaochu Yuan Aug 12 '10 at 7:41

It's difficult to tell what is being asked here. This question is ambiguous, vague, incomplete, overly broad, or rhetorical and cannot be reasonably answered in its current form. For help clarifying this question so that it can be reopened, visit the help center.If this question can be reworded to fit the rules in the help center, please edit the question.

up vote 2 down vote accepted

Most of the definitions about $A$ in various fonts and ${\cal N}_r^{\cal A}$ you are looking for are at the top of page 3 of the article. The subscript $1\le i\lt j\le k$ just indicates which combinations of $i$ and $j$ are included in the conjunction.

share|cite|improve this answer
thanks! i see now! – manny hustar Aug 12 '10 at 4:58

Not the answer you're looking for? Browse other questions tagged or ask your own question.