MA 305 Lecture 24 Transparencies

Thursday, April 20, 2000

Slide 1

Average number of comparisons in quick sort.
Abstract norm.
(Audio part 1, 2:00 and 30:00)

Slide 2

Example of weighted norm on R².
Infinity norm on R².
Abstract inner product.
(Audio part 1, 33:00)

Slide 3

Abstract inner product continued.
Example of multilinearity.
Symmetry of IP3.
(Audio part 1, 39:00)

Slide 4

Symmtry of IP3 continued.
Multilinearity.
(Audio part 1, 43:00)

Slide 5

Weighted inner product.
(Audio part 2, 2:00)

Slide 6

Weighted inner product continued.
BIG THEOREM: relation between inner product and norm.
(Audio part 2, 6:00)

Slide 7

Triangular inequality consequence of Cauchy-Schwarz inequality.
Weighted least squares fitting.
(Audio part 2, 11:00)

Slide 8

Weighted least squares fitting continued.
(Audio part 2, 20:00)