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Well, it's the end of the term. Have a great summer!
CS 173 (Spring 2021) Farewell
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Fun applications of uncountability: uncomputability, aperiodic tilings, quasicrystals
CS 173 (Spring 2021) Countability 4
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Uncountable sets, including two proofs by diagonalization
CS 173 (Spring 2021) Countability 3
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More examples of countable sets
CS 173 (Spring 2021) Countability 2
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Conway's Game of Life, a state diagram with infinitely many states.
CS 173 (Spring 2021) State Diagrams 3
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Measuring the size of sets using bijections and one-to-one functions
CS 173 (Spring 2021) Countability 1
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Phone lattices
CS 173 (Spring 2021) State Diagrams 2
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A simple state diagram example (the jug puzzle)
CS 173 (Spring 2021) State Diagrams 1
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Proof of a graph theorem using contradiction
CS 173 (Spring 2021) Contradiction 2
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Proof by contradiction: the basics
CS 173 (Spring 2021) Contradiction 1
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Partitions
CS 173 (Spring 2021) Collections of sets 3
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Counting subsets (no repetition) and assortments (like subsets but with repetition)
CS 173 (Spring 2021) Collections of Sets 2
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Sets that contain other sets (Emerald City Bakery), including the power set and how to use the power set in writing function signatures.
CS 173 (Spring 2021) Collections of sets 1
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NP
CS 173 (Spring 2021) Algorithms 5
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Karatsuba's algorithm
CS 173 (Spring 2021) Algorithms 4
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Building a recursive running time function from a fragment of code
CS 173 (Spring 2021) Algorithms 3
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Proving a primitive function relationship
CS 173 (Spring 2021) Algorithms 2
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Asymptotic complexity (big-O and its friends)
CS 173 (Spring 2021) Algorithms 1
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Grammar trees and induction on grammar trees
CS 173 (Spring 2021) Trees 3
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Using induction to prove a claim about trees.
CS 173 (Spring 2021) Trees 2
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CS 173 (Spring 2021) Trees 1 21 of 30
25:01duration 25 minutes 1 second
CS 173 (Spring 2021) Trees 1
Using a recursion tree to find a closed form.CS 173 (Spring 2021) Trees 1
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Another example of unrolling a recursive definition.
CS 173 (Spring 2021) Recursive Definition 3
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Another example of inductive proof on a recursive definition. This time the definition uses two earlier values of the function.
CS 173 (Spring 2021) Recursive Definition 2
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Unrolling and recursive definition using a hypercube example
CS 173 (Spring 2021) Recursive Definition 1
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Using induction to prove a claim about the game Nim
CS 173 (Spring 2021) Induction 4
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Using induction to prove a claim about triominos
CS 173 (Spring 2021) Induction 3
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Why is induction a valid technique?
CS 173 (Spring 2021) Induction 2
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Introduction to induction proofs, using a simple summation example
CS 173 (Spring 2021) -Induction 1
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Two-way bounding, including graph coloring
CS 173 (Spring 2021) Bounding
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Counting isomorphisms
CS 173 (Spring 2021) Graphs 2
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