Class Notes for COMS W3203 at Columbia University

COLUMBIACOMS W3203Ansaf Salleb- AouissiFall

COMS W3203 Lecture Notes - Lecture 5: Contraposition, Vise

OC7241012 Page
29 Sep 2016
8
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COLUMBIACOMS W3203Antonio MorettiFall

COMS W3203 Lecture Notes - Lecture 12: Bijection, Symmetric Group, Enumerative Combinatorics

OC23536627 Page
14 Dec 2017
0
Combinatorics: a technique to determine the size of a nite set, (example: sorting by transportations) A partition of a set a is a collection of disjoin
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COLUMBIACOMS W3203Antonio MorettiFall

COMS W3203 Lecture Notes - Lecture 15: Royal Institute Of Technology, Second Order (Religious), Hermite Polynomials

OC23536624 Page
14 Dec 2017
0
Recall a k-th order linear rst order recurrence: an = f (n) + pk f (n) is the inhomogeneous part and pk i=1 hi(n)an 1. i=1 hi(n)an 1 is the homogenous
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COLUMBIACOMS W3203Ansaf Salleb- AouissiFall

COMS W3203 Lecture 6: Proof by Counterexample, and Collections

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29 Sep 2016
3
Announcements: midterm 1 is 10/19 in-class 70 min, *open note, on topics 1 and 2. Logic and proofs, collections: classes that will be moved to fridays,
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COLUMBIACOMS W3203Ansaf Salleb- AouissiFall

COMS W3203 Lecture Notes - Lecture 1: Graph Theory, Latex, Watch

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15 Sep 2016
1
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COLUMBIACOMS W3203Ansaf Salleb- AouissiFall

COMS W3203 Lecture 8: Sets

OC7241013 Page
5 Oct 2016
1
S1={ : x> 0 x=5a for some 7} S2={ : (3 9) x 5 6 8} B ( ) iff : proving equality and inclusion, proof template 7 (two sets are equal) Let a, b be two se
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COLUMBIACOMS W3203Ansaf Salleb- AouissiFall

COMS W3203 Lecture Notes - Lecture 4: Contraposition, Counterexample, Truth Table

OC7241012 Page
21 Sep 2016
6
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COLUMBIACOMS W3203Ansaf Salleb- AouissiFall

COMS W3203 Lecture Notes - Lecture 2: Hypotenuse, Latex

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15 Sep 2016
3
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COLUMBIACOMS W3203Ansaf Salleb- AouissiFall

COMS W3203 Lecture 13: Equivalence relation, equilivalence class, partitions

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25 Oct 2016
7
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COLUMBIACOMS W3203Ansaf Salleb- AouissiFall

COMS W3203 Lecture 9: Set Identities, Cartesian Product, Size of Union

OC7241012 Page
17 Oct 2016
6
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COLUMBIACOMS W3203Ansaf Salleb- AouissiFall

COMS W3203 Lecture Notes - Lecture 3: Modus Ponens, Exclusive Or, If And Only If

OC7241013 Page
15 Sep 2016
6
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