In computational learning theory, the teaching dimension of a concept class C is defined to be, where is the minimum size of a witness set for c in C.
The teaching dimension of a finite concept class can be used to give a lower and an upper bound on the membership query cost of the concept class.
In Stasys Jukna's book "Extremal Combinatorics", a lower bound is given for the teaching dimension:
Let C be a concept class over a finite domain X. If the size of C is greater than
then the teaching dimension of C is greater than k.
Famous quotes containing the words teaching and/or dimension:
“What is this? A new teaching -with authority! He commands even the unclean spirits, and they obey him.”
—Bible: New Testament, Mark 1:27.
Of Jesus after he had exorcized an unclean spirit.
“God cannot be seen: he is too bright for sight; nor grasped: he is too pure for touch; nor measured: for he is beyond all sense, infinite, measureless, his dimension known to himself alone.”
—Marcus Minucius Felix (2nd or 3rd cen. A.D.)