Italian versionOnline Didactic Material for course "Ricerca operativa e Ottimizzazione"
Here you can find the complete list of the course material available online.
| Description | Date | Size | Type | |
|---|---|---|---|---|
00-Graphs, linear algebraElements of graph theory and polyhedral geometry |
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| 0.2 Polyhedral geometry - English
Elementary definitions of polyhedral geometri, a few things to know - English version |
05 mar 2019 | 208KB | ![[download]](pageres.php?name=img%2Farchive.png&upd=1361298387) |
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| 0.2 Polyhedral geometry - Italian
Elements of linear algebra and polyhedral geometry, Italian version |
05 mar 2019 | 324KB | |
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| 0.1 Elements of graph theory - Italian
Elements of graph theory: definitions, properties, examples |
05 mar 2019 | 845KB | |
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| 0.1 Elements of graph Theory - English
Graphs: basic definitions and properties |
05 mar 2019 | 790KB | |
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01-Famous ProblemsA gallery of famous problems |
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| 1.4 Linearization techniques in 01 optimization (Italian)
A method to formulate combinatorial optimization problems as 01 LP (Italian) |
31 ott 2019 | 741KB | |
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| 1.4 Linearization techniques in 01 optimization (English)
A method to formulate combinatorial optimization problems as 01 LP (English) |
31 ott 2019 | 756KB | |
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| 1.3 01LP Formulations - Italian
Formulating combinatorial optimization problems as 0-1 Linear Programming |
05 mar 2019 | 395KB | |
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| 1.2 Linear relaxation: An exercise on the stable set...
Stable set formulations |
05 mar 2019 | 298KB | |
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| 1.2 01 LP formulations and LP relaxation - Italian
01 LP formulations and LP relaxation - Italian version |
05 mar 2019 | 2305KB | |
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| 1.1 Problem Gallery - Italian
A survey of some famous combinatorial optimization problems - Italian version |
05 mar 2019 | 4898KB | |
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| 1.1 A gallery of famous problems - English
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05 mar 2019 | 4740KB | |
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02-ComplexityFundamentals of computational complexity |
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| 2.1 Elements of computational complexity - Italian
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05 mar 2019 | 433KB | |
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| 2.1 Elements of computational complexity - English
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05 mar 2019 | 429KB | |
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04-CutsCuts in a graph. The max cut problem: a combinatorial algorithm for line graphs; VLSI circuit layout |
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| 4.2 A VLSI circuit layout problem - English
Models for VLSI circuit layout (English version): PLA folding |
05 mar 2019 | 1262KB | |
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| 4.1 Simple max cut on line-graphs - English
An example of pure combinatorial algorithm: simple max cut on line graphs - English version |
05 mar 2019 | 660KB | |
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| 4.1 Max cut of a line graph - Italian
An example of pure combinatorial algorithm: simple max cut on line graphs - English version |
05 mar 2019 | 255KB | .zip | |
05-Dynamic ProgrammingDAGs and dynamic programming |
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| 5.2 0-1 Knapsack - Italian
Dynamic programming for 0-1 knapsack and cover - Italian version |
05 mar 2019 | 414KB | |
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| 5.2 0-1 knapsack - English
Exercise: solving 01 knapsack via dynamic programming - English version |
05 mar 2019 | 217KB | |
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| 5.1 Dynamic programming - Italian
Directed acyclic graphs and recurrence - Italian version |
05 mar 2019 | 2493KB | |
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| 5.1 Dynamic programming - English
Acyclic digraphs and dynamic programming - English version |
05 mar 2019 | 2561KB | |
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03-UnimodularityTotally unimodular matrices and applications |
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| 3.1 Totally unimodular matrices - Italian
Totally unimodular matrices with applications to integer linear programming - Italian version |
05 mar 2019 | 438KB | |
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| 3.1 Totally unimodular matrices - English
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05 mar 2019 | 412KB | |
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06-MatroidsMatroids, and the greedy algorithm |
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| 6.2 Spanning subgraphs - Italian
01 LP formulations of the spanning tree problem and the TSP, the separation problem |
05 mar 2019 | 1142KB | |
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| 6.2 Spanning subgraphs - Inglese
01 LP formulations of the spanning tree problem and the TSP, the separation problem |
05 mar 2019 | 1137KB | |
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| 6.1 Matroids - Italian
Matroids and the Greedy Algorithm - Italian version |
05 mar 2019 | 575KB | |
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| 6.1 Matroids - English
Matroids and the Greedy algorithm - English version |
05 mar 2019 | 714KB | |
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08-Matching and around matchingMatching problems, Gallai's and Koenig's Theorems, algorithms for bipartite matching |
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| 8.1 (Bipartite) Matching - Italian
Matching: generalities, weighted and unweighted bipartite matching - Italian version |
05 mar 2019 | 1290KB | |
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| 8.1 (Bipartite) matching - English
Matching: generalities, weighted and unweighted bipartite matching - English version |
05 mar 2019 | 996KB | |
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09-ApproximationDeterministic algorithms with guaranteed approximation |
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| 9.1 Approximation algorithms - Italian
Deterministic algorithms with guaranteed approximation factor - Italian version |
05 mar 2019 | 563KB | |
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| 9.1 Approximation algorithms - English
Deterministic algorithms with guaranteed approximation - English version |
05 mar 2019 | 647KB | |
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10-Branch and BoundImplicit enumeration for combinatorial optimization |
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| 10.2 branch-and-bound - Italian
Implicit enumeration for combinatorial optimization problems, Italian version |
05 mar 2019 | 1634KB | |
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| 10.2 Branch-and-bound - English
Implicit enumeration methods, English version |
05 mar 2019 | 1897KB | |
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| 10.1 Linear relaxation - Italian
Relations between an integer linear program and its continuous relaxation |
05 mar 2019 | 2243KB | |
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11-Problems and answer keysAnswer key to official written tests |
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| answer key to written test - January 23rd, 2017
solutions to proposed exercises, Italian |
02 feb 2017 | 262KB | |
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| written test - January 23rd, 2017
text only, Italian |
24 gen 2017 | 190KB | |
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| answer keys - July 8th, 2014
July 8th, 2014 - written test - problems and solutions, Italian version |
09 nov 2016 | 288KB | |
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| answer keys - september 8th, 2014
answer keys - september 8th, 2014 - Italian version |
12 dic 2015 | 333KB | |
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| answer keys - september 24th, 2014
answer keys - september 24th, 2014 - Italian version |
12 dic 2015 | 170KB | |
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| answer keys - july 28th, 2014
answer keys - july 28th, 2014 - Italian version |
14 mag 2015 | 217KB | |
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| answer keys - july 8th, 2014
answer keys - july 8th, 2014 - Italian version |
15 apr 2015 | 288KB | |
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| answer keys - february 6th, 2014
answer keys - february 6th, 2014 - Italian version |
15 apr 2015 | 303KB | |
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| answer keys - december 3rd, 2014
answer keys - december 3rd, 2014 - Italian version |
15 apr 2015 | 467KB | |
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| answer keys - april 23rd, 2014
answer keys - april 23rd, 2014 - Italian version |
15 apr 2015 | 146KB | |
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| answer keys - june 19th, 2014
answer keys - june 19th, 2014 - Italian version |
15 apr 2015 | 232KB | |
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11-Problems and answer keys/written test 1505 - may 12th, 2015midterm test problems and answer key - may 12th, 2015 - Italian and English version |
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| midterm test - may 12th, 2015 (group B, text only) Italian...
midterm test - may 12th, 2015 (group B, text only) Italian version |
14 mag 2015 | 112KB | |
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| midterm test - may 12th, 2015 (group B, text only) English...
midterm test - may 12th, 2015 (group B, text only) English version |
14 mag 2015 | 117KB | |
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| midterm test - may 12th, 2015 (group A, text only) Italian...
midterm test - may 12th, 2015 (group A, text only) Italian version |
14 mag 2015 | 111KB | |
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| midterm test - may 12th, 2015 (group A, text only) English...
midterm test - may 12th, 2015 (group A, text only) English version |
14 mag 2015 | 116KB | |
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| answer keys - may 12th, 2015, group B - italian version
answer keys - may 12th, 2015, group B |
14 mag 2015 | 132KB | |
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| answer keys - may 12th, 2015, group A - italian version
answer keys - may 12th, 2015, group A |
14 mag 2015 | 122KB | |
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11-Problems and answer keys/written test 1506 - June 24th, 2015final test, texts and solutions - June 24th, groups A, B - italian version |
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| final test - June 24th, 2015, group B
final test - June 24th, 2015, group B - Italian version |
30 giu 2015 | 131KB | |
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| answer keys - June 24th, 2015, group B
answer keys - June 24th, 2015, group B - Italian version |
30 giu 2015 | 316KB | |
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| final test - June 24th, 2015, group A
final test - June 24th, 2015, group A - Italian version |
26 giu 2015 | 130KB | |
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| final test - June 24th, 2015, group A
final test - June 24th, 2015, group A - English version |
26 giu 2015 | 134KB | |
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| answer keys - June 24th, 2015, group A
answer keys - June 24th, 2015, group A - Italian version |
25 giu 2015 | 319KB | |
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11-Problems and answer keys/written test 1506 - July 8th, 2015texts and solutions of written tests - July 8th 2015 |
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| July 8th 2015 written test - texts
July 8th 2015 written test - texts, group A (Italian), B (Italian and English) |
09 lug 2015 | 173KB | |
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| answer key - July 8th 2015
texts and solutions of written tests - July 8th 2015, groups A and B, Italian version |
09 lug 2015 | 139KB | |
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11-Problems and answer keys/written test 1509 - September 15th, 2015text and keys to retake test - September 15th, 2015, groups A and B - Italian version |
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| answer keys - September 15th, 2015
text and answer keys to retake test - September 15th, 2015, groups A and B - Italian version |
17 set 2015 | 186KB | |
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| retake test - September 15th, 2015
Italian version |
16 set 2015 | 198KB | |
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11-Problems and answer keys/written test 1511 - November 12nd, 2015answer keys to midterm test - November 12nd, 2015 - English version |
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| midterm test solution - November 12nd, 2015
midterm test solution - November 12nd, 2015 - English version |
13 nov 2015 | 182KB | |
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| midterm test - November 12nd, 2015
midterm test - November 12nd, 2015 - English version, text only |
13 nov 2015 | 132KB | |
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11-Problems and answer keys/written test 1601 - January 26th, 2016answer keys to tests - January 26th, 2016, groups A and B - Italian version |
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| answer keys - January 26th, 2016 - Italian
answer keys - January 26th, 2016 - Italian version |
03 feb 2016 | 177KB | |
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| answer keys - January 26th, 2016 - English
answer keys - January 26th, 2016 - groups A and B, English version |
03 feb 2016 | 182KB | |
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| written test - January 26th, 2016 - Italian
written test - January 26th, 2016 - Italian version, text only |
27 gen 2016 | 192KB | |
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| written test - January 26th, 2016 - English
written test - January 26th, 2016 - groups A and B, English text only |
27 gen 2016 | 200KB | |
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11-Problems and answer keys/written test 1602 - February 17th, 2016final test, text and answer key - Feb 17th, 2016 - groups A and B |
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| answer keys - February 17th, 2016 - Italian
answer keys - February 17th, 2016 - groups A and B, Italian |
18 feb 2016 | 334KB | |
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| answer keys - February 17th, 2016 - English
answer keys - February 17th, 2016 - groups A and B, English |
18 feb 2016 | 336KB | |
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| final test - Feb 17th, 2016 - text only, Italian
final test - Feb 17th, 2016 - groups A and B, text only, Italian |
17 feb 2016 | 233KB | |
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| final test - Feb 17th, 2016 - text only, English
final test - Feb 17th, 2016 - groups A and B,text only, English |
17 feb 2016 | 233KB | |
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11-Problems and answer keys/written test 1604 - April 21st, 2016April 21st, 2016 - midterm test - problems and solutions, Italian version |
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| answer keys - April 21st, 2016
April 21st, 2016 - midterm test - text and answer keys, Italian version |
09 nov 2016 | 234KB | |
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| midterm test - April 21st, 2016
April 21st midterm test - text only |
09 nov 2016 | 163KB | |
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11-Problems and answer keys/written test 1606 - June 14th, 2016text and answer key to final test - June 14th, 2016 |
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| text of final test - June 14th, 2016
text of final test - June 14th, 2016 - Italian version |
09 nov 2016 | 180KB | |
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| text of final test - June 14th, 2016
text of final test - June 14th, 2016 - English version |
09 nov 2016 | 153KB | |
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| answer key to final test - June 14th, 2016
answer key to final test - June 14th, 2016 - Italian version |
09 nov 2016 | 225KB | |
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11-Problems and answer keys/final test 1606 - June 30th, 2016text and answer key to final test - June 30th, 2016 |
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| text of final test - June 30th, 2016
text of final test - June 30th, 2016 |
01 lug 2016 | 175KB | |
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| answer key to final test - June 30th, 2016
answer key to final test - June 30th, 2016 - Italian version |
01 lug 2016 | 247KB | |
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11-Problems and answer keys/written test 1607 - July 25th, 2016July 25th, 2016 - written test - problems and solutions, Italian version |
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| written test - July 25th, 2016 - text only
written test - July 25th, 2016 - text only, Italian version |
26 lug 2016 | 347KB | |
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| answer keys - July 25th, 2016
answer keys - July 25th, 2016 - Italian version |
26 lug 2016 | 362KB | |
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11-Problems and answer keys/written test 1609 - September 15th, 2016text and answer key to final test - September 15th, 2016 |
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| text of final test - September 15th, 2016
written test of September 15th, 2016 - text only, Italian version |
19 set 2016 | 270KB | |
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| answer key to final test - September 15th, 2016
written test of September 15th, 2016 - text and answer key, Italian version |
19 set 2016 | 371KB | |
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11-Problems and answer keys/written test 1611 - November 8th, 2016text and answer key to final test - November 8th, 2016 |
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| final test - November 8th, 2016 - text only
final test - November 8th, 2016 - text only, Italian version |
08 nov 2016 | 189KB | |
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| final test - November 8th, 2016 - text and answer key
final test - November 8th, 2016 - text and answer key, Italian version |
08 nov 2016 | 326KB | |
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11-Problems and answer keys/written test 1702 - February 13th, 2017written test: text and answer key |
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| written test - February 13th, 2017
written test of Feb 13th, 2017 - text only, Italian version |
16 feb 2017 | 229KB | |
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| answer key to written test - February 13th, 2017
written test of February 13th, 2017 - solution of proposed exercises, Italian version |
16 feb 2017 | 304KB | |
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11-Problems and answer keys/written test 1704 - April 20th, 2017midterm test of April 20th, 2017 - problems and solutions |
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| midterm test of April 20th, 2017 - answer key
midterm test of April 20th, 2017 - answer key, Italian version |
23 apr 2017 | 248KB | |
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| midterm test of April 20th, 2017 - text only
midterm test of April 20th, 2017 - text only, Italian version |
20 apr 2017 | 101KB | |
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11-Problems and answer keys/written test 1706 - June 21st 2017written test, June 21st 2017 - text and answer key, Italian version |
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| written test of June 21st, 2017 - answer key
written test of June 21st, 2017 - answer key, Italian version |
23 giu 2017 | 203KB | |
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| written test of June 21st, 2017, group B
written test of June 21st, 2017, group B - text only, Italian version |
23 giu 2017 | 132KB | |
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| written test of June 21st, 2017, group A
written test of June 21st, 2017, group A - text only, Italian version |
23 giu 2017 | 132KB | |
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11-Problems and answer keys/final test 1707 - July 5th, 2017final test - July 5th, 2017: tests and answer key |
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| written test of July 5th, 2017 - text only
written test of July 5th, 2017 - text only, Italian version |
08 lug 2017 | 179KB | |
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11-Problems and answer keys/written test 1707 - July 17th, 2017problems and answer key to the written test of July 17th, 2017 |
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| answer key to written test, July 17th, 2017
answer key to written test, July 17th, 2017 - Italian version |
18 lug 2017 | 354KB | |
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| written test, July 17th, 2017 - text only
written test, July 17th, 2017 - text only, Italian version |
18 lug 2017 | 203KB | |
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11-Problems and answer keys/written test 1709 - September 12th, 2017written test of September 12th, 2017 - text and solution, Italian version |
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| written test of September 12th, 2017 - solution
written test of September 12th, 2017 - solution, groups A and B, Italian version |
16 set 2017 | 216KB | |
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| written test of September 12th, 2017 - text only
written test of September 12th, 2017 - text only, groups A and B, Italian version |
16 set 2017 | 121KB | |
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11-Problems and answer keys/written test 1802 - February 6, 2018written test, questions and answer key |
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| written test, Feb 6th 2018 - text only
written test, Feb 6th 2018 - text only, Italian version |
12 feb 2018 | 129KB | |
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| written test, Feb 6th 2018 - answer key
written test, Feb 6th 2018 - answer key, Italian version |
12 feb 2018 | 147KB | |
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11-Problems and answer keys/written test 1802 - February 20th, 2018written test of February 20th, 2018, problems and answer key |
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| Answer key to written test of Feb 20th, 2018 - Italian
Written test of Feb 20th, 2018 - Italian text with answer key |
20 feb 2018 | 187KB | |
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| written test of Feb 20th, 2018 - Italian
written test of Feb 20th, 2018 - Italian text |
20 feb 2018 | 121KB | |
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| written test of Feb 20th, 2018 - English
written test of Feb 20th, 2018 - English text |
20 feb 2018 | 128KB | |
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11-Problems and answer keys/midterm test 1804 - April 19th, 2018problems and answer key to the midterm test of April 19th, 2018 |
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| midterm test solution - April 19th, 2018
midterm test solution - April 19th, 2018, Italian |
22 apr 2018 | 166KB | |
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| midterm test of April 19th, 2018 - eng
midterm test of April 19th, 2018 - English, text only |
22 apr 2018 | 105KB | |
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| midterm test of April 19th, 2018 - ita
midterm test of April 19th, 2018 - Italian, text only |
22 apr 2018 | 138KB | |
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11-Problems and answer keys/written test 1806 - June 21st, 2018written test of June 21st, 2018: problems and answer key |
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| Written test of June 21st, 2018 - answer key
Written test of June 21st, 2018 - answer key, Italian version |
06 giu 2019 | 251KB | |
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| Written test of June 21st, 2018 - text only
Written test of June 21st, 2018 - text only, Italian version |
23 giu 2018 | 188KB | |
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11-Problems and answer keys/written test 1807 - July 17th, 2018problems and answer key to the final test of July 17th, 2018 |
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| answer key to written test - July 17th, 2018
answer key to written test of July 17th, 2018, Italian version |
06 giu 2019 | 256KB | |
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| written test of July 17th, 2018 - text only
written test of July 17th, 2018 - Italian version, text only |
20 lug 2018 | 155KB | |
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11-Problems and answer keys/written test 1807 - July 26, 2018problems and answer key to the final test of July 26th, 2018 |
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| final test, July 26th, 2018 - text only
final test of July 26th, 2018 - text only, Italian version |
26 lug 2018 | 2010KB | |
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| final test July 26th, 2018 - answer key
answer key to the final test of July 26th, 2018 - Italian version |
26 lug 2018 | 2051KB | |
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11-Problems and answer keys/written test 1809 - September 4th, 2018problems and answer key of the written test of September 4th, 2018 |
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| answer key to written test of September 4th, 2018
answer key to written test of September 4th, 2018 - Italian version |
25 ott 2018 | 226KB | |
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| written test of September 4th, 2018
written test of September 4th, 2018 - text only, Italian version |
05 set 2018 | 146KB | |
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11-Problems and answer keys/written test 1811 - November 6th, 2018test problems - Nov 6th, 2018 - English (only problems) and Italian (problems and solutions) |
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| written test of Nov 6th, 2018 - text only, English
written test of Nov 6th, 2018 - text only, Italian version |
07 nov 2018 | 151KB | |
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| written test of Nov 6th, 2018 - text only, English
written test of Nov 6th, 2018 - text only, English version |
07 nov 2018 | 154KB | |
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| written test of Nov 6, 2018 - problems and answer key
problems and answer key to the written test of Nov 6, 2018 - Italian version |
07 nov 2018 | 198KB | |
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11-Problems and answer keys/written test 1901 - January 22nd, 2019problems and answer key to the written test of January 22nd, 2019 |
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| answer key to written test - Jan 22nd, 2019
answer key to written test of Jan 22nd, 2019 - Italian version |
23 gen 2019 | 220KB | |
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| written test - Jan 22nd, 2019
written test, Jan 22nd 2019 - Italian version, problems proposed |
23 gen 2019 | 154KB | |
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11-Problems and answer keys/written test 1902 - Feb 5th, 2019problems and solutions of the written test of Feb 5th, 2019 |
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| answer key to written test of Feb 5th, 2019
answer key to written test of Feb 5th, 2019 - Italian version |
07 feb 2019 | 145KB | |
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| written test of Feb 5th, 2019
written test of Feb 5th, 2019 - without solution, Italian version |
06 feb 2019 | 109KB | |
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11-Problems and answer keys/written test 1902 - Feb 19th, 2019text and answer key to final test of Feb 19th, 2019 - Italian |
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| answer key to written test of Feb 19th, 2019
answer key to written test of Feb 19th, 2019, Italian |
23 feb 2019 | 190KB | |
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| written test of Feb 19th, 2019
written test of Feb 19th, 2019 - without solution, Italian |
23 feb 2019 | 112KB | |
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11-Problems and answer keys/written test 1904 - April 11th, 2019problems and solution of the intermediate test of April 11th, 2019 |
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| answer key to written test of April 11th, 2019 - English
answer key to written test of April 11th, 2019 - English |
16 apr 2019 | 233KB | |
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| answer key to written test of April 11th, 2019 - Italian
answer key to written test of April 11th, 2019 - Italian |
16 apr 2019 | 295KB | |
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| written test of April 11th, 2019 - Italian
intermediate test of April 11the, 2019 - Italian, text only |
16 apr 2019 | 219KB | |
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| written test of April 11th, 2019 - English
intermediate test of April 11th, 2019 - English, text without solution |
16 apr 2019 | 198KB | |
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11-Problems and answer keys/written test 1906 - June 13th, 209Problems and solutions of the final test of June 13th, 2019 |
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| answer key to written test of June 13th, 2019 - English
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18 giu 2019 | 195KB | |
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| answer key to written test of June 13th, 2019 - Italian
answer key to written test of June 13th, 2019 - Italian |
18 giu 2019 | 296KB | |
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| written test of June 13th, 2019 - Italian
written test of June 13th, 2019 - Italian, text only |
13 giu 2019 | 146KB | |
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| written test of June 13th, 2019 - English
written test of June 13th, 2019 - English, text only |
13 giu 2019 | 129KB | |
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11-Problems and answer keys/written test 1906 - June 26th, 2019problems and solutions of the final test of June 26th, 2019 |
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| Answer key to written test of June 26th, 2019 - Italian
Answer key to written test of June 26th, 2019 - Italian |
26 giu 2019 | 249KB | |
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| Written test of June 26th, 2019 - Italian
Written test of June 26th, 2019 - Italian, just the problems |
26 giu 2019 | 138KB | |
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11-Problems and answer keys/written test 1907 - July 9th, 2019text and answer key to final test of Jul 9th, 2019 - Italian |
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| Answer key to written test of July 9th, 2019
Answer key to written test of July 9th, 2019 - Italian |
14 lug 2019 | 423KB | |
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| Written test of July 9th, 2019
Written test of July 9th, 2019 - text only, Italian |
14 lug 2019 | 170KB | |
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11-Problems and answer keys/written test 1909 - September 17th, 2019text and answer key to final test of Sep 17th, 2019 - Italian |
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| Answer key to written test, September 17th 2019
Answer key to written test, September 17th 2019, Italian |
18 set 2019 | 261KB | |
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| written test, September 17th 2019
written test, September 17th 2019, text only, Italian |
18 set 2019 | 119KB | |
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11-Problems and answer keys/written test 1911 - November 7th, 2019text and answer key to final test of Sep 17th, 2019 - Italian |
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| Answer key to written test of Nov 7th, 2019 - Italian
Answer key to written test of Nov 7th, 2019 - Italian, problems and solutions |
12 nov 2019 | 160KB | |
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| Written test of Nov 7th, 2019 - Italian
Written test of Nov 7th, 2019 - Italian, problems without solution |
12 nov 2019 | 99KB | |
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07-DualityDuality Theory in LP |
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| 7.3 Zero-sum games
Prisoner's dilemma (an economic view), portfolio optimization as an LP, dual analysis |
16 apr 2019 | 212KB | |
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| 7.2 Duality - English
Duality theory in LP - English version |
05 mar 2019 | 244KB | |
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| 7.1 Projections - English
Projections of a convex polyhedron, Fourier-Veronese Theorem and Fourier-Motzkin Method - English version |
05 mar 2019 | 979KB | |
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| 7.1 Duality in a nutshell - Italian
Duality theory in LP |
05 mar 2019 | 4359KB | |
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