Search for tag: "theorem"

"Fibonacci, congruent numbers and elliptic curves" - Winston Ko Public Lecture Series

Dr. Kenneth A. Ribet Professor Emeritus Department of Mathematics UC Berkeley The perfect squares (1, 4, 25, 36 and so forth) were studied extensively by Leonardo Fibonacci in his thirteenth…

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MAT 168 Optimization lecture-2023-02-24

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MAT 168 Optimization lecture-2023-02-22

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MAT 168 Optimization: lecture-2023-02-13

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mat180-2022-02-25

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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…

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mat180-2022-02-16.mov

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ECS20 - W22 - Lecture 13 (7T): Induction and Recursion 2

Lecture 2022-02-15. A proof by strong induction: the Fundamental Theorem of Arithmetic. Induction on a definition: boolean formulas have the same number of left and right parentheses. Recursion as a…

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mat180-2022-02-04.mov

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mat180-2022-01-03

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2021-09-29: LP duality, Carathéodory's theorem

Videos and all other materials are copyright 2021 Matthias Köppe and shared as Open Educational Resources subject to the Creative Commons Attribution-ShareAlike 3.0 Unported (CC BY-SA 3.0)…

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2021-10-01: Representation and projection of cones and polyhedra

Videos and all other materials are copyright 2021 Matthias Köppe and shared as Open Educational Resources subject to the Creative Commons Attribution-ShareAlike 3.0 Unported (CC BY-SA 3.0)…

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2021-10-08: Hilbert bases of cones, integer Carathéodory theorem

Videos and all other materials are copyright 2021 Matthias Köppe and shared as Open Educational Resources subject to the Creative Commons Attribution-ShareAlike 3.0 Unported (CC BY-SA 3.0)…

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2021-09-27: Linear programming duality

Videos and all other materials are copyright 2021 Matthias Köppe and shared as Open Educational Resources subject to the Creative Commons Attribution-ShareAlike 3.0 Unported (CC BY-SA 3.0)…

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ECS 120 5b:1 examples of using the Myhill-Nerode Theorem

I forgot to write on this slide that this is Section 7.7 in the lecture notes.

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ECS 120 5a:4 statement of Myhill-Nerode Theorem

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