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ECS20 - W22 - Lecture 15 (8T): Integers and the… duration 1 hour 24 minutes ECS20 - W22 - Lecture 15 (8T): Integers and the… ECS20 - W22 - Lecture 15 (8T): Integers and the Pigeonhole Principle	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… numbers pigeons principle friends points gcd mod sum pigeonhole party point sphere sequence algorithm hemisphere cardinality theorem From Phil Rogaway 0 likes 89 plays 0
ECS20 - W22 - Lecture 9 (5T): Relations and… duration 1 hour 25 minutes ECS20 - W22 - Lecture 9 (5T): Relations and… ECS20 - W22 - Lecture 9 (5T): Relations and Functions 1	ECS20 - W22 - Lecture 9 (5T): Relations and Functions 1 ECS-020 Lecture 2022-02-01. Reviewing definitions. Equivalence relations and the idea that they induce partitions. Three ways of conceptualizing integers mod n. Functions. Computing functions that… relation strings function block equivalence blocks point integers length kind mod thing things functions characters string elements numbers integer From Phil Rogaway 0 likes 146 plays 0
ECS 220 1b:2.2-1 time complexity of GCD, factoring duration 5 minutes 56 seconds ECS 220 1b:2.2-1 time complexity of GCD, factoring ECS 220 1b:2.2-1 time complexity of GCD, factoring	ECS 220 1b:2.2-1 time complexity of GCD, factoring algorithm divisions size factor problem factoring thing input root division factorization range sort mod bits power remainder divisor lot n. From David Doty 0 likes 162 plays 0
ECS 220 1a:2.1 problems and solutions duration 9 minutes 53 seconds ECS 220 1a:2.1 problems and solutions ECS 220 1a:2.1 problems and solutions	ECS 220 1a:2.1 problems and solutions problem divisor algorithm graph decision mod b. function path gcd string graphs squares machines definition star language strings sense inputs From David Doty 0 likes 89 plays 0
ECS 120 7b:1 example problem in P - RelPrime duration 6 minutes 23 seconds ECS 120 7b:1 example problem in P - RelPrime ECS 120 7b:1 example problem in P - RelPrime	ECS 120 7b:1 example problem in P - RelPrime log algorithm base length numbers mod integers iterations y. string divisor problem remainder half loop distance iteration shortcut divisors egypt From David Doty 1 likes 281 plays 0
ECS 120 3b:4 NFA concatenation example duration 6 minutes 2 seconds ECS 120 3b:4 NFA concatenation example ECS 120 3b:4 NFA concatenation example	ECS 120 3b:4 NFA concatenation example string n1 mod input language nfa transition bit dfa point awhile n2 r2 effect thing condition binary concatenation power process From David Doty 1 likes 791 plays 0
ECS 120 3a:3 DFA union (product construction)… duration 10 minutes 38 seconds ECS 120 3a:3 DFA union (product construction)… ECS 120 3a:3 DFA union (product construction) example	ECS 120 3a:3 DFA union (product construction) example dfa mod d2 l2 pair languages symbol d1 delta cross pairs union goal l1 notes lecture function transition integer column From David Doty 1 likes 467 plays 0
ECS 120 1c:2 example DFA deciding binary number… duration 12 minutes 13 seconds ECS 120 1c:2 example DFA deciding binary number… ECS 120 1c:2 example DFA deciding binary number congruence	ECS 120 1c:2 example DFA deciding binary number congruence multiple binary bit string times words end dfa cases append mod congruence integer decimal language multiplies k. shortcut du versus From David Doty 1 likes 312 plays 0
ECS 120 1c:1 example DFAs deciding input length… duration 5 minutes 0 seconds ECS 120 1c:1 example DFAs deciding input length… ECS 120 1c:1 example DFAs deciding input length congruence	ECS 120 1c:1 example DFAs deciding input length congruence multiple strings mod remainder length language a. aaa symbol dfa pause star form means knot urinary words start thing letter From David Doty 1 likes 336 plays 0