Rigorous Definitions
This article will define effective dimension for subsets of Cantor space 2ω; closely related definitions exist for subsets of Euclidean space Rn. We will move freely between considering a set X of natural numbers, the infinite sequence given by the characteristic function of X, and the real number with binary expansion 0.X.
Read more about this topic: Effective Dimension
Famous quotes containing the words rigorous and/or definitions:
“... feminist solidarity rooted in a commitment to progressive politics must include a space for rigorous critique, for dissent, or we are doomed to reproduce in progressive communities the very forms of domination we seek to oppose.”
—bell hooks (b. c. 1955)
“The loosening, for some people, of rigid role definitions for men and women has shown that dads can be great at calming babies—if they take the time and make the effort to learn how. It’s that time and effort that not only teaches the dad how to calm the babies, but also turns him into a parent, just as the time and effort the mother puts into the babies turns her into a parent.”
—Pamela Patrick Novotny (20th century)