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Wibisono Sukmo Wardhono, ST, MT Any question ?

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Presentation on theme: "Wibisono Sukmo Wardhono, ST, MT Any question ?"— Presentation transcript:

1 Wibisono Sukmo Wardhono, ST, MT http://wibiwardhono.lecture.ub.ac.id Any question ?

2 Wibisono Sukmo Wardhono, ST, MT http://wibiwardhono.lecture.ub.ac.id cartesianproduct A = {a, b, c} B = { sm*sh, cherrybelle, JKT48 } AxB = {(a,sm*sh), (a,cherrybelle), (a,JKT48), (b,sm*sh), (b,cherrybelle), (b,JKT48), (c,sm*sh), (c,cherrybelle), (c,JKT48)}

3 Wibisono Sukmo Wardhono, ST, MT http://wibiwardhono.lecture.ub.ac.id Morgan Annisa Sashihara Rino Ye Sung Super Junior Cherrybelle SM*SH AKB48 AB cartesianproduct berlaku?

4 Wibisono Sukmo Wardhono, ST, MT http://wibiwardhono.lecture.ub.ac.id Morgan Annisa Sashihara Rino Ye Sung Super Junior Cherrybelle SM*SH AKB48 AB ℛ = {(Morgan, SM*SH), (Annisa, Cherrybelle), (Sashihara Rino, AKB48), (Ye Sung, Super Junior)}

5 Wibisono Sukmo Wardhono, ST, MT http://wibiwardhono.lecture.ub.ac.id Morgan Annisa Sashihara Rino Ye Sung Super Junior Cherrybelle SM*SH AKB48 AB a ℛ b

6 Wibisono Sukmo Wardhono, ST, MT http://wibiwardhono.lecture.ub.ac.id Morgan Annisa Sashihara Rino Ye Sung Super Junior Cherrybelle SM*SH AKB48 AB (a, b) ∈ ℛ

7 Wibisono Sukmo Wardhono, ST, MT http://wibiwardhono.lecture.ub.ac.id Morgan Annisa Sashihara Rino Ye Sung Super Junior Cherrybelle SM*SH AKB48 AB Domain coDomain/range

8 Wibisono Sukmo Wardhono, ST, MT http://wibiwardhono.lecture.ub.ac.id Morgan Annisa Sashihara Rino Ye Sung Super Junior Cherrybelle SM*SH AKB48 AB ℛ ⊆ (A x B)

9 Wibisono Sukmo Wardhono, ST, MT http://wibiwardhono.lecture.ub.ac.id AB MorganSM*SH AnnisaCherrybelle Sashihara Rino AKB48 Ye SungSuper Junior

10 Wibisono Sukmo Wardhono, ST, MT http://wibiwardhono.lecture.ub.ac.id 0010 0100 0001 1000 Morgan Annisa Sashihara Rino Ye Sung SuperJuniorCherrybelleSM*SHAKB48

11 Wibisono Sukmo Wardhono, ST, MT http://wibiwardhono.lecture.ub.ac.id ℛ = {(a, a), (a, b), (b, a), (b, c), (b, d), (c, a), (c, d), (d, b)} ℛ adalah relasi dari {a, b, c, d} a b c d

12 Wibisono Sukmo Wardhono, ST, MT http://wibiwardhono.lecture.ub.ac.id ℛ = {(a, a), (a, b), (b, a), (b, c), (b, d), (c, a), (c, d), (d, b)} ℛ adalah relasi dari {a, b, c, d} a b c d

13 Wibisono Sukmo Wardhono, ST, MT http://wibiwardhono.lecture.ub.ac.id ℛ = {(a, a), (a, b), (b, a), (b, c), (b, d), (c, a), (c, d), (d, b)} ℛ adalah relasi dari {a, b, c, d} a b c d

14 Wibisono Sukmo Wardhono, ST, MT http://wibiwardhono.lecture.ub.ac.id ℛ = {(a, a), (a, b), (b, a), (b, c), (b, d), (c, a), (c, d), (d, b)} ℛ adalah relasi dari {a, b, c, d} a b c d

15 Wibisono Sukmo Wardhono, ST, MT http://wibiwardhono.lecture.ub.ac.id ℛ = {(a, a), (a, b), (b, a), (b, c), (b, d), (c, a), (c, d), (d, b)} ℛ adalah relasi dari {a, b, c, d} a b c d

16 Wibisono Sukmo Wardhono, ST, MT http://wibiwardhono.lecture.ub.ac.id ℛ = {(a, a), (a, b), (b, a), (b, c), (b, d), (c, a), (c, d), (d, b)} ℛ adalah relasi dari {a, b, c, d} a b c d

17 Wibisono Sukmo Wardhono, ST, MT http://wibiwardhono.lecture.ub.ac.id ℛ = {(a, a), (a, b), (b, a), (b, c), (b, d), (c, a), (c, d), (d, b)} ℛ adalah relasi dari {a, b, c, d} a b c d

18 Wibisono Sukmo Wardhono, ST, MT http://wibiwardhono.lecture.ub.ac.id ℛ = {(a, a), (a, b), (b, a), (b, c), (b, d), (c, a), (c, d), (d, b)} ℛ adalah relasi dari {a, b, c, d} a b c d

19 Wibisono Sukmo Wardhono, ST, MT http://wibiwardhono.lecture.ub.ac.id ℛ = {(a, a), (a, b), (b, a), (b, c), (b, d), (c, a), (c, d), (d, b)} ℛ adalah relasi dari {a, b, c, d} a b c d

20 20 P = {2, 3, 4} Q = {2, 4, 8, 9, 15} (p, q) ∈ ℛ jika p habis membagi q

21 21 P = {2, 3, 4} Q = {2, 4, 8, 9, 15} (q, p) ∈ S jika q kelipatan p

22 22 P = {2, 3, 4} Q = {2, 4, 8, 9, 15} (q, p) ∈ ℛ -1 jika q kelipatan p

23 Wibisono Sukmo Wardhono, ST, MT http://wibiwardhono.lecture.ub.ac.id Morgan Annisa Sashihara Rino Ye Sung Bisma Super Junior Cherrybelle SM*SH AKB48 AB Indonesia Korea Jepang C ℛ S

24 Wibisono Sukmo Wardhono, ST, MT http://wibiwardhono.lecture.ub.ac.id Morgan Annisa Sashihara Rino Ye Sung Bisma Super Junior Cherrybelle SM*SH AKB48 AB Indonesia Korea Jepang C ℛ S

25 Wibisono Sukmo Wardhono, ST, MT http://wibiwardhono.lecture.ub.ac.id Morgan Annisa Sashihara Rino Ye Sung Bisma Super Junior Cherrybelle SM*SH AKB48 AB Indonesia Korea Jepang C ℛ S

26 Wibisono Sukmo Wardhono, ST, MT http://wibiwardhono.lecture.ub.ac.id Morgan Annisa Sashihara Rino Ye Sung Bisma Super Junior Cherrybelle SM*SH AKB48 AB Indonesia Korea Jepang C ℛ S

27 Wibisono Sukmo Wardhono, ST, MT http://wibiwardhono.lecture.ub.ac.id Morgan Annisa Sashihara Rino Ye Sung Bisma Super Junior Cherrybelle SM*SH AKB48 AB Indonesia Korea Jepang C ℛ S

28 Wibisono Sukmo Wardhono, ST, MT http://wibiwardhono.lecture.ub.ac.id Morgan Annisa Sashihara Rino Ye Sung Bisma Super Junior Cherrybelle SM*SH AKB48 AB Indonesia Korea Jepang C ℛ S

29 Wibisono Sukmo Wardhono, ST, MT http://wibiwardhono.lecture.ub.ac.id S o ℛ = {(Morgan, Indonesia), (Annisa, Indonesia), (Sashihara Rino, Jepang), (Ye Sung, Korea), (Bisma, Indonesia)} a ℛ b; b S c

30 Wibisono Sukmo Wardhono, ST, MT http://wibiwardhono.lecture.ub.ac.id a b c d Equivalent Relation

31 Wibisono Sukmo Wardhono, ST, MT http://wibiwardhono.lecture.ub.ac.id NIMNamaMatakuliahNilai 101WibisonoMat.DiskritC 101WibisonoStrukDatD+ 102SukmoMat.DiskritA 102SukmoStrukDatB+

32 Wibisono Sukmo Wardhono, ST, MT http://wibiwardhono.lecture.ub.ac.id NIM Nama Mata kuliah Nilai n-ary relation

33 Wibisono Sukmo Wardhono, ST, MT http://wibiwardhono.lecture.ub.ac.id NIMNama 2-ary relation binary relation


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