Search for tag: "cardinality"

ECS20 - W22 - Lecture 15 (8T): Integers and the Pigeonhole Principle

Lecture 2022-02-22. Three statements of the pigeonhole principle (PHP) and quite a few examples of its use. Reviewing some number theory. The Division Theorem. Euclid's algorithm. Finding…

From  Phil Rogaway 0 likes 84 plays 0  

ECS20 - W22 - Lecture 11 (6T): Relations and Functions 3

Lecture 2022-02-08. Equinumerous sets. Another proof that the rationals are countable. Uncountability of the set of all languages over {0,1}. When do things become impractical? Concrete dividing…

From  Phil Rogaway 0 likes 103 plays 0  

ECS20 - W22 - Lecture 6 (3R): Sets 1

NOTE: "Typo" in what I wrote on one slide: R={x: x \not\in x}. Basics of sets. The only basic vocabulary is \in and \emptyset. Defining other relations: union, intersection complement,…

From  Phil Rogaway 0 likes 123 plays 0  

ECS20 - W22 - Lecture 6 (3R): Sets 1 (full)

Basics of sets. The only basic vocabulary is \in and \emptyset. Defining other relations: union, intersection complement, set difference, symmetric difference. Identities and their proofs, including…

From  Phil Rogaway 0 likes 6 plays 0  

ECS 120 5a:5 corollary of Myhill-Nerode Theorem we use and its proof

From  David Doty 0 likes 67 plays 0  

ECS 120 10b:2 the real numbers are uncountable and the Continuum Hypothesis

From  David Doty 0 likes 68 plays 0  

ECS 120 9c:6 R vs. (0,1)

From  David Doty 0 likes 82 plays 0  

ECS 120 9c:5 N vs. {0,1}*

From  David Doty 0 likes 87 plays 0  

ECS 120 9c:3 N vs. Q+

From  David Doty 0 likes 90 plays 0  

ECS 120 9c:1 comparing sizes of sets

From  David Doty 0 likes 94 plays 0  

ECS 120 1b:4 intuitive overview of DFA semantics

From  David Doty 1 likes 163 plays 0  

ECS 120 1a:3 string theory

From  David Doty 1 likes 228 plays 0  

ECS 120 0:2 sequences (discrete math review)

From  David Doty 1 likes 150 plays 0  

mat168-modeling9.mp4

From  Jesus De Loera 0 likes 70 plays 0