Question

When line joining any two points in the set lies entirely in region enclosed by the set in M-dimensional space , then the set is known as?

(a) convex set

(b) concave set

(c) may be concave or convex

(d) none of the mentioned

This question was posed to me by my school principal while I was bunking the class.

The origin of the question is Pattern Classification in section Feedforward Neural Networks of Neural Networks

Answer 1

Right answer is (a) convex set

To explain I would say: A convex set is a set of points in M-dimensional space such that line joining any two points in the set lies entirely in region enclosed by the set.