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Lecture 02
 

Lecture 02

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Discrete Mathematics

Discrete Mathematics

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    Lecture 02 Lecture 02 Presentation Transcript

    • Truth Table
    • Truth Table for ~p^q - 2
    • Truth Table for ~p^q – 2a
    • Truth Table for ~p^q – 2b
    • Truth Table for ~p^q – 2c
    • ~p ^ (q v~ r) – (2 - 3a)
    • ~p ^ (q v~ r) – 2 - 3b
    • ~p ^ (q v~ r) – 2 - 3c
    • ~p ^ (q v~ r) – 2 - 3d
    • Truth Table for ~p (p v~ q) – 2 - 3e v
    • Truth Table for (pvq) ^~ (p^q) – 2 - 4a
    • Truth Table for (pvq) ^~ (p^q) – 2 - 4c
    • Truth Table for (pvq) ^~ (p^q) – 2 - 4e v v
    • Truth Table for (pvq) ^~ (p^q) – 2 -4f
    • Exclusive OR – 2 - 5
    • Symbols for Exclusive OR – 2 - 5a
    • Logical Equivalence – 2 - 6
    • Double Negation ~(~p) ≡ p – 2 - 7
    • Examples – 2 - 12
    • Example – 2 - 17c
    • Example – 2 - 17d
    • Example – 2 - 17e
    • De Morgan’s Laws – 2 - 9
    • De Morgan’s Laws – 2 - 9a
    • Proof – 2 - 16
    • Proof – 2 - 16d
    • Application – 2 - 10
    • Exercise – 2 - 19
    • Tautology – 2 - 21
    • Example – 2 - 21a
    • Contradiction – 2 - 22
    • Example – 2 - 22a
    • Exercise – 2 - 23
    • Exercise – 2 - 24
    • Laws of Logic – 2 - 25
    • Laws of Logic – 2 - 25a
    • Laws of Logic – 2 - 25b
    • Laws of Logic – 2 - 25c
    • Laws of Logic – 2 - 25d