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# Lecture 03

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Discrete Mathematics

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### Lecture 03

1. 1. CS-708 Application - 1
2. 2. CS-708 Example - 2
3. 3. CS-708 Simplifying a Statement – 3
4. 4. CS-708 Distributive Law in Reverse – 4
5. 5. CS-708 Exercise – 5
6. 6. CS-708 Exercise - 5a
7. 7. CS-708 Conditional Statements - 6
8. 8. CS-708 Conditional Statements – 6a
9. 9. CS-708 Truth Table for p  q - 8
10. 10. CS-708 Conditional Statements or Implications - 7
11. 11. CS-708 Conditional Statements OR Implications – 7a
12. 12. CS-708 Example – 9
13. 13. CS-708 Alternative Ways of Expressing Implications – 10
14. 14. CS-708 Alternative Ways of Expressing Implications – 10a
15. 15. CS-708 Exercise - 11
16. 16. CS-708 Exercise – 11a
17. 17. CS-708 Translating English Sentences to Symbols - 12
18. 18. CS-708 Translating English Sentences to Symbols – 12a
19. 19. CS-708 Translating English Sentences to Symbols – 12b
20. 20. CS-708 Translating English Sentences to Symbols – (3 – 12c)
21. 21. CS-708 Translating Symbolic Propositions to English – 13
22. 22. CS-708 Translating Symbolic Propositions to English – 13a
23. 23. CS-708 Translating Symbolic Propositions to English – 13b
24. 24. CS-708 Hierarchy of Operations for Logical Connectives - 14
25. 25. CS-708 Truth Table for p v ~ q  ~ p – 20a
26. 26. CS-708 Truth Table for p v ~ q  ~ p – 20b
27. 27. CS-708 (p  q) (~p  r) - 21
28. 28. CS-708 (p  q) (~p  r) – 21a
29. 29. CS-708 (p  q) (~p  r) – 21c
30. 30. CS-708 p  q ≡ ~q  ~p- 22
31. 31. CS-708 Implication Law – 23
32. 32. CS-708 Negation of a Conditional Statement - 15
33. 33. CS-708 Examples – (3 - 16)
34. 34. CS-708 Example – 16a
35. 35. CS-708 Inverse of a Conditional Statement - 24
36. 36. CS-708 p  q is not equivalent to ~p  ~q – (3 – 25)
37. 37. CS-708 Writing Inverse – 17
38. 38. CS-708 Writing Inverse – 17a
39. 39. CS-708 Converse of a Conditional Statement - 26
40. 40. CS-708 Converse of a conditional Statement – (3 – 27)
41. 41. CS-708 Writing Converse – 18
42. 42. CS-708 Writing Converse – 18a
43. 43. CS-708 Contrapositive of a Conditional Statement– 28
44. 44. CS-708 Writing Contrapositivity – 19
45. 45. CS-708 Writing Contrapositivity – 19a