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51:09 MAT 168 Optimization lecture-2023-02-24 MAT 168 Optimization lecture-2023-02-24	MAT 168 Optimization lecture-2023-02-24 transpose variables basis solution duality columns inequality theorem slacks things b. sum optimality slack alright problem star criterion dictionary matrix From Matthias Koeppe 0 likes 8 plays 0
51:56 MAT 168 Optimization lecture-2023-02-22 MAT 168 Optimization lecture-2023-02-22	MAT 168 Optimization lecture-2023-02-22 solution problem times duality inequalities inequality zeta optimization linear function side hand star theorem vector transpose coefficient thing alpha bound From Matthias Koeppe 0 likes 8 plays 0
50:11 2021-09-29: LP duality,… 2021-09-29: LP duality, Carathéodory's theorem	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)… convex lambda theorem bar dimension basis dictionary lp points space linear variables point transpose hull sum vector solution combinations geometry From Matthias Koeppe 0 likes 52 plays 0
53:59 2021-10-15: Lifting valid inequalities 2021-10-15: Lifting valid inequalities	2021-10-15: Lifting valid inequalities 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)… solution inequality alpha dimension solutions face hat problem transpose inequalities optimization convex argument hull coefficient phase problems equations sense f. From Matthias Koeppe 0 likes 3 plays 0
48:50 2021-09-27: Linear programming duality 2021-09-27: Linear programming duality	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)… solution lp solutions transpose theorem inequalities duality problem gamma question inequality answer possibilities method b. pair variables thing optimization hand From Matthias Koeppe 0 likes 18 plays 0
45:10 QandA-proj3 finalB QandA-proj3 finalB	QandA-proj3 finalB matrix question questions problem dictionary equation variables transpose problems inverse polar equations class optimization conditions slackness feasibility hint plane cone From Jesus De Loera 0 likes 31 plays 0
47:36 LP Polyhedra-Lec7 LP Polyhedra-Lec7	LP Polyhedra-Lec7 Fourier-Motzkin applied to Farkas lemma and duality polyhedra solution problem transpose matrix material gamma function linear epsilon theorem duality lemma farkas vector proof star amount times equations minus From Jesus De Loera 0 likes 45 plays 0
50:21 LP Polyhedra-Lec6 LP Polyhedra-Lec6	LP Polyhedra-Lec6 Fourier-Motzkin applied to Farkas lemma and duality polyhedra solution equation inequalities polyhedron equations elimination variables minus lemma function variable matrix vector thing constraints inequality linear bound transpose pair From Jesus De Loera 0 likes 44 plays 0
40:08 LP Polyhedra-Lec4.mp4 LP Polyhedra-Lec4.mp4	LP Polyhedra-Lec4.mp4 solution star vectors inequalities vertex equations transpose linear point polyhedron ai vector constraints algebra inequality function cube points solutions contradiction From Jesus De Loera 0 likes 45 plays 0
50:12 2020-11-13: Strong LP duality theorem (MAT 168… 2020-11-13: Strong LP duality theorem (MAT 168 Optimization)	2020-11-13: Strong LP duality theorem (MAT 168 Optimization) Negative transpose property; the dual of the dual LP is the primal LP. Strong duality theorem (with proof). notes-2020-11-13.pdf Videos and all other materials are copyright 2020 Matthias Köppe… variables star solution duality theorem sum form notation i. variable things matrix thing bit transpose stars function slack times summation From Matthias Koeppe 0 likes 30 plays 0
50:23 2020-10-23: Extreme points, degeneracy,… 2020-10-23: Extreme points, degeneracy, finiteness (MAT 168 Optimization)	2020-10-23: Extreme points, degeneracy, finiteness (MAT 168 Optimization) Going from an LP in standard equation form to the (primal) dictionary in matrix form for an arbitrary basis. Extreme points as vertices (= 0-dimensional faces) of the polyhedron of feasible points.… inequalities equations constraints form n. dictionary point bit inverse basis variables bfs b. geometry degeneracy bar points transpose space vector From Matthias Koeppe 0 likes 42 plays 0
19:11 ESM108_Week7_Lab_Making Macros in Excel ESM108_Week7_Lab_Making Macros in Excel	ESM108_Week7_Lab_Making Macros in Excel control transpose macros shift c2 c1 replica macro developer point optimization 11th w. columns idea answer runs points starting thing From Majdi Abou Najm 0 likes 16 plays 0