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Exercise 1-1~1-4
Exercise 1-1~1-4
1-1 & 1-2: 5. 11. 13. 23. 29. 35. 37.
1-3: 8. 20. 23. 33.
1-4: 8. 14. 19.
Discrete Mathematics HW2.pdfExercise 1-5~2-2
Exercise 1-5~2-2
1-5: 1. 7. 10. 11.
Loops vs. Catalan Numbers (as aside).
Formalize the proofs to Catalan Number:
(1) Cn = (2n, n)-(2n, n+1), and (2) Cn = (2n, n)/(n+1).
2-1: 3. 4. 10. 13.
2-2: 4. 12. 17. 18(a). 20(a).
Discrete Mathematics_HW3.pdfLoops vs. Catalan Numbers
Exercise 2-3~2-5
Exercise 2-3~2-5
2-3 : 7. 10.
2-4 : 3. 5. 21.
2-5 : 9.
Discrete Mathematics_HW4.pdfExercise 3-1~3-3
Exercise 3-1~3-3
3-1: 4, 7, 11, 19, 23, 27 (to understand the basic properties of sets)
3-2: 15, 16, 17 (to understand the operations and laws of sets)
3-3: 7, 9 (to understand the couting kills via Venn diagrams)
Exercise 4-1~4-2
Exercise 4-1~4-2
4-1: Please formalize the proofs of
(1) WOP => PMI
(2) PMI => WOP
4-2: 18 (Originality of Eulerian numbers); Design a recursive formula for coloring the sectors of a circle using 4 colors.
Exercise 5-1~5-6 & 9-1
Exercise 5-1~5-6 & 9-1
5-1 : 4. 6.
5-2 : 17. 20. 21.
5-3 : 4. 8.
5-4 : 5. 8.
5-5 : 4. 24.
5-6 : 10.
9-1 : 5.
Discrete Mathematics_HW5.pdfGoogle Sites
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