Search for tag: "sets"
MAT168L17Continuation of modern geometric descriptions of polyhedrons. Included are definitions of convex polyhedron, half spaces, hyperplanes, affine dimension, and some connections to Linear Programming.
From Acadia Larsen
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L16MAT168Introduction to (modern) Polyhedral Geometry. This lecture defines convex sets and polyhedra and proves a few statements about convex sets and polyhedra.
From Acadia Larsen
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MATH168L5This lecture covers integer variables and modeling of combinatorial problems with integer variables. The example used GRAPH MATCHING.
From Acadia Larsen
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MAT168L1Math 168 Lecture 1, Given on Jan 8th 2024. This lecture gives an introduction to optimization problems and the field of optimization.
From Acadia Larsen
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ECS20 - W22 - Lecture 11 (6T): Relations and Functions 3Lecture 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
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ECS20 - W22 - Lecture 10 (5R): Relations and Functions 2Injective, surjective, and bijective functions. Examples. Two methods to shuffle cards. Countably infinite sets.
From Phil Rogaway
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ECS20 - W22 - Lecture 8 (4R): Sets 3Review of strings and languages. Closing a set of languages using some operators. Regular languages. Examples. BYTE, WORD32, and WORD64 as languages computers "like", and how we…
From Phil Rogaway
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ECS20 - W22 - Lecture 7 (4T): Sets 2More about sets. Powerset of a set. Cross product of sets. The axiomatic approach to set theory. Languages (sets of strings).
From Phil Rogaway
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ECS20 - W22 - Lecture 6 (3R): Sets 1NOTE: "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
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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
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