ASolutions to the exercises
A.1Chapter 1
(1.1)The relation is an equivalence relation:
–Reflexivity: x attends the same class as x.
–Symmetry: If x attends the same class as y, then y also attends the same class as x.
–Transitivity: If x attends the same class as y and y attends the same class as z, then x and z also attend the same class.
(1.2)The relation is not transitive and hence not an equivalence relation, as seen in this family tree:
Alice and Bob share a grandparent (Joel), and Bob and Carol share a grandparent (Kathie), but Alice and Carol do not.
(1.3)The relation x ∼ y ⇔ xT y = 0 is not reflexive for x ≠ 0 and hence ...
Get Pattern Recognition now with the O’Reilly learning platform.
O’Reilly members experience books, live events, courses curated by job role, and more from O’Reilly and nearly 200 top publishers.