Download presentation
Presentation is loading. Please wait.
1
Revision of topics/definitions
Nicholas Lawrance | ICRA 2011
2
Injective transformations
Nicholas Lawrance | ICRA 2011
3
Surjective transformations
Nicholas Lawrance | ICRA 2011
4
Bijective transformations
Nicholas Lawrance | ICRA 2011
5
Sequences Nicholas Lawrance | ICRA 2011
6
Sequences N = {1, 2, 3, ...} is countably infinite
The rational numbers Q are countable, the real numbers R are not Examples Can also have a finite index set, and a subset of the index results in a family of elements Nicholas Lawrance | ICRA 2011
7
Supremum and Infimum Easy to think of as maximum and minimum, but not strictly correct. They are the bounds but do not have to exist in the set A = {-1, 0, 1} sup(A) = 1 inf(A) = -1 B = {n-1: n = [1, 2, 3, ...]} sup(B) = 1 inf(B) = 0 Nicholas Lawrance | ICRA 2011
8
lp - norms For an n-dimensional space
2-dimensional Euclidean space unit spheres for a range of p values Nicholas Lawrance | ICRA 2011
9
Nicholas Lawrance | ICRA 2011
Similar presentations
© 2025 SlidePlayer.com. Inc.
All rights reserved.