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 dimension and/or teaching:

“Authority is the spiritual *dimension* of power because it depends upon faith in a system of meaning that decrees the necessity of the hierarchical order and so provides for the unity of imperative control.”

—Shoshana Zuboff (b. 1951)

“Go therefore and make disciples of all nations, baptizing them in the name of the Father and of the Son and of the Holy Spirit, and *teaching* them to obey everything that I have commanded you. And remember, I am with you always, to the end of the age.”

—Bible: New Testament, Matthew 28:19,20.