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Some ideas for math club

Pascal's triangle, Golden Ratio, Measuring pi

From  jabiello 0 likes 13 plays 0  

ECS20 - W22 - Lecture 12 (6R): Induction and Recursion 1

Lecture 2022-02-10. The language of number theory, and the Peano axioms for it. The last axiom: the principle of mathematical induction. Different forms of it. Using induction for establishing…

From  Phil Rogaway 0 likes 125 plays 0  

ECS20 - W22 - Lecture 4 (2R): Logic 3

Building a circuit for adding two 64-bit values. Tautologies. A formal system for proving theorem. The completeness and soundness theorems for sentential logic. Adding quantifier: first-order…

From  Phil Rogaway 0 likes 153 plays 0  

ECS20 - W22 - Lecture 3 (2T): Logic 2

Review (particularly of functional completeness). More boolean operators: IMPLIES, IFF, XOR, NAND, NOR. Gates and circuits. A formal treatment of boolean formulas: syntax, truth assignments, and…

From  Phil Rogaway 0 likes 177 plays 0  

ECS 235B Winter Quarter 2022, Lecture 2

Lecture 2, on January 5, 2022 of ECS 235B, Foundations of Computer and Information Security

From  Matt Bishop 0 likes 37 plays 0  

ECS20 - W22 - Lecture 2 (1R): Logic 1

Familiar sets and operators on them. The boolean domain and basic operators on booleans (AND, OR, NOT). Representing numbers in binary, and in other bases. Can you represent anything you care about…

From  Phil Rogaway 0 likes 144 plays 0  

ECS 120 5a:2 definition of separating extension and L-equivalence

From  David Doty 0 likes 113 plays 0  

ECS 220 8a:8.1-2 space-bounded complexity classes L and PSPACE

From  David Doty 0 likes 34 plays 0  

ECS 220 7c:7.5-1 Turing's applied philosophy

From  David Doty 0 likes 16 plays 0  

ECS 220 6a:7.2-1 programming languages with interpreters have non-halting programs

From  David Doty 0 likes 32 plays 0  

ECS 220 3a:5-5.2 circuit to simulate Turing machine, Witness-Existence reduces to Circuit-SAT

From  David Doty 0 likes 49 plays 0  

ECS 120 8a:3 introduction to NP-completeness and Boolean formulas

From  David Doty 0 likes 234 plays 0  

ECS 120 6a:3 single-tape TMs can simulate multitape TMs

From  David Doty 1 likes 316 plays 0  

ECS 120 5c:4 formal definition of TM semantics

errata: At 4:38, I incorrectly said and wrote that L,R,S correspond to +1, -1, and 0. They correspond to -1, +1, and 0, i.e., moving left (L) decrements (-1) the tape head position, and moving right…

From  David Doty 1 likes 223 plays 0  

ECS 120 5c:3 formal definition of TM syntax

From  David Doty 1 likes 247 plays 0  

ECS 120 5c:2 example TM

From  David Doty 1 likes 360 plays 0