![Page 1: Wibisono Sukmo Wardhono, ST, MT Any question ?](https://reader035.vdocuments.net/reader035/viewer/2022062515/56649c825503460f9493a13b/html5/thumbnails/1.jpg)
Wibisono Sukmo Wardhono, ST, MThttp://wibiwardhono.lecture.ub.ac.id
Any question ?
![Page 2: Wibisono Sukmo Wardhono, ST, MT Any question ?](https://reader035.vdocuments.net/reader035/viewer/2022062515/56649c825503460f9493a13b/html5/thumbnails/2.jpg)
Wibisono Sukmo Wardhono, ST, MThttp://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)}
![Page 3: Wibisono Sukmo Wardhono, ST, MT Any question ?](https://reader035.vdocuments.net/reader035/viewer/2022062515/56649c825503460f9493a13b/html5/thumbnails/3.jpg)
Wibisono Sukmo Wardhono, ST, MThttp://wibiwardhono.lecture.ub.ac.id
Morgan
Annisa
Sashihara Rino
Ye Sung
Super Junior
Cherrybelle
SM*SH
AKB48
A B
cartesianproduct berlaku?
![Page 4: Wibisono Sukmo Wardhono, ST, MT Any question ?](https://reader035.vdocuments.net/reader035/viewer/2022062515/56649c825503460f9493a13b/html5/thumbnails/4.jpg)
Wibisono Sukmo Wardhono, ST, MThttp://wibiwardhono.lecture.ub.ac.id
Morgan
Annisa
Sashihara Rino
Ye Sung
Super Junior
Cherrybelle
SM*SH
AKB48
A B
ℛ = {(Morgan, SM*SH), (Annisa, Cherrybelle), (Sashihara Rino, AKB48), (Ye Sung, Super Junior)}
![Page 5: Wibisono Sukmo Wardhono, ST, MT Any question ?](https://reader035.vdocuments.net/reader035/viewer/2022062515/56649c825503460f9493a13b/html5/thumbnails/5.jpg)
Wibisono Sukmo Wardhono, ST, MThttp://wibiwardhono.lecture.ub.ac.id
Morgan
Annisa
Sashihara Rino
Ye Sung
Super Junior
Cherrybelle
SM*SH
AKB48
A B
a ℛ b
![Page 6: Wibisono Sukmo Wardhono, ST, MT Any question ?](https://reader035.vdocuments.net/reader035/viewer/2022062515/56649c825503460f9493a13b/html5/thumbnails/6.jpg)
Wibisono Sukmo Wardhono, ST, MThttp://wibiwardhono.lecture.ub.ac.id
Morgan
Annisa
Sashihara Rino
Ye Sung
Super Junior
Cherrybelle
SM*SH
AKB48
A B
(a, b) ∈ ℛ
![Page 7: Wibisono Sukmo Wardhono, ST, MT Any question ?](https://reader035.vdocuments.net/reader035/viewer/2022062515/56649c825503460f9493a13b/html5/thumbnails/7.jpg)
Wibisono Sukmo Wardhono, ST, MThttp://wibiwardhono.lecture.ub.ac.id
Morgan
Annisa
Sashihara Rino
Ye Sung
Super Junior
Cherrybelle
SM*SH
AKB48
A B
Domain coDomain/range
![Page 8: Wibisono Sukmo Wardhono, ST, MT Any question ?](https://reader035.vdocuments.net/reader035/viewer/2022062515/56649c825503460f9493a13b/html5/thumbnails/8.jpg)
Wibisono Sukmo Wardhono, ST, MThttp://wibiwardhono.lecture.ub.ac.id
Morgan
Annisa
Sashihara Rino
Ye Sung
Super Junior
Cherrybelle
SM*SH
AKB48
A B
ℛ ⊆ (A x B)
![Page 9: Wibisono Sukmo Wardhono, ST, MT Any question ?](https://reader035.vdocuments.net/reader035/viewer/2022062515/56649c825503460f9493a13b/html5/thumbnails/9.jpg)
Wibisono Sukmo Wardhono, ST, MThttp://wibiwardhono.lecture.ub.ac.id
A BMorgan SM*SHAnnisa Cherrybelle
Sashihara Rino AKB48Ye Sung Super Junior
![Page 10: Wibisono Sukmo Wardhono, ST, MT Any question ?](https://reader035.vdocuments.net/reader035/viewer/2022062515/56649c825503460f9493a13b/html5/thumbnails/10.jpg)
Wibisono Sukmo Wardhono, ST, MThttp://wibiwardhono.lecture.ub.ac.id
0 0 1 00 1 0 00 0 0 11 0 0 0
Morgan
Annisa
Sashihara Rino
Ye Sung
Super
Junior
Cherry
belle
SM
*SH
AK
B48
![Page 11: Wibisono Sukmo Wardhono, ST, MT Any question ?](https://reader035.vdocuments.net/reader035/viewer/2022062515/56649c825503460f9493a13b/html5/thumbnails/11.jpg)
Wibisono Sukmo Wardhono, ST, MThttp://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}
ab
cd
![Page 12: Wibisono Sukmo Wardhono, ST, MT Any question ?](https://reader035.vdocuments.net/reader035/viewer/2022062515/56649c825503460f9493a13b/html5/thumbnails/12.jpg)
Wibisono Sukmo Wardhono, ST, MThttp://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}
ab
cd
![Page 13: Wibisono Sukmo Wardhono, ST, MT Any question ?](https://reader035.vdocuments.net/reader035/viewer/2022062515/56649c825503460f9493a13b/html5/thumbnails/13.jpg)
Wibisono Sukmo Wardhono, ST, MThttp://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}
ab
cd
![Page 14: Wibisono Sukmo Wardhono, ST, MT Any question ?](https://reader035.vdocuments.net/reader035/viewer/2022062515/56649c825503460f9493a13b/html5/thumbnails/14.jpg)
Wibisono Sukmo Wardhono, ST, MThttp://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}
ab
cd
![Page 15: Wibisono Sukmo Wardhono, ST, MT Any question ?](https://reader035.vdocuments.net/reader035/viewer/2022062515/56649c825503460f9493a13b/html5/thumbnails/15.jpg)
Wibisono Sukmo Wardhono, ST, MThttp://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}
ab
cd
![Page 16: Wibisono Sukmo Wardhono, ST, MT Any question ?](https://reader035.vdocuments.net/reader035/viewer/2022062515/56649c825503460f9493a13b/html5/thumbnails/16.jpg)
Wibisono Sukmo Wardhono, ST, MThttp://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}
ab
cd
![Page 17: Wibisono Sukmo Wardhono, ST, MT Any question ?](https://reader035.vdocuments.net/reader035/viewer/2022062515/56649c825503460f9493a13b/html5/thumbnails/17.jpg)
Wibisono Sukmo Wardhono, ST, MThttp://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}
ab
cd
![Page 18: Wibisono Sukmo Wardhono, ST, MT Any question ?](https://reader035.vdocuments.net/reader035/viewer/2022062515/56649c825503460f9493a13b/html5/thumbnails/18.jpg)
Wibisono Sukmo Wardhono, ST, MThttp://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}
ab
cd
![Page 19: Wibisono Sukmo Wardhono, ST, MT Any question ?](https://reader035.vdocuments.net/reader035/viewer/2022062515/56649c825503460f9493a13b/html5/thumbnails/19.jpg)
Wibisono Sukmo Wardhono, ST, MThttp://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}
ab
cd
![Page 20: Wibisono Sukmo Wardhono, ST, MT Any question ?](https://reader035.vdocuments.net/reader035/viewer/2022062515/56649c825503460f9493a13b/html5/thumbnails/20.jpg)
20
P = {2, 3, 4} Q = {2, 4, 8, 9, 15}
(p, q) ∈ ℛ jika p habis membagi q
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21
P = {2, 3, 4} Q = {2, 4, 8, 9, 15}
(q, p) ∈ S jika q kelipatan p
![Page 22: Wibisono Sukmo Wardhono, ST, MT Any question ?](https://reader035.vdocuments.net/reader035/viewer/2022062515/56649c825503460f9493a13b/html5/thumbnails/22.jpg)
22
P = {2, 3, 4} Q = {2, 4, 8, 9, 15}
(q, p) ∈ ℛ-1
jika q kelipatan p
![Page 23: Wibisono Sukmo Wardhono, ST, MT Any question ?](https://reader035.vdocuments.net/reader035/viewer/2022062515/56649c825503460f9493a13b/html5/thumbnails/23.jpg)
Wibisono Sukmo Wardhono, ST, MThttp://wibiwardhono.lecture.ub.ac.id
Morgan
Annisa
Sashihara Rino
Ye Sung
Bisma
Super Junior
Cherrybelle
SM*SH
AKB48
A BIndonesia
Korea
Jepang
Cℛ S
![Page 24: Wibisono Sukmo Wardhono, ST, MT Any question ?](https://reader035.vdocuments.net/reader035/viewer/2022062515/56649c825503460f9493a13b/html5/thumbnails/24.jpg)
Wibisono Sukmo Wardhono, ST, MThttp://wibiwardhono.lecture.ub.ac.id
Morgan
Annisa
Sashihara Rino
Ye Sung
Bisma
Super Junior
Cherrybelle
SM*SH
AKB48
A BIndonesia
Korea
Jepang
Cℛ S
![Page 25: Wibisono Sukmo Wardhono, ST, MT Any question ?](https://reader035.vdocuments.net/reader035/viewer/2022062515/56649c825503460f9493a13b/html5/thumbnails/25.jpg)
Wibisono Sukmo Wardhono, ST, MThttp://wibiwardhono.lecture.ub.ac.id
Morgan
Annisa
Sashihara Rino
Ye Sung
Bisma
Super Junior
Cherrybelle
SM*SH
AKB48
A BIndonesia
Korea
Jepang
Cℛ S
![Page 26: Wibisono Sukmo Wardhono, ST, MT Any question ?](https://reader035.vdocuments.net/reader035/viewer/2022062515/56649c825503460f9493a13b/html5/thumbnails/26.jpg)
Wibisono Sukmo Wardhono, ST, MThttp://wibiwardhono.lecture.ub.ac.id
Morgan
Annisa
Sashihara Rino
Ye Sung
Bisma
Super Junior
Cherrybelle
SM*SH
AKB48
A BIndonesia
Korea
Jepang
Cℛ S
![Page 27: Wibisono Sukmo Wardhono, ST, MT Any question ?](https://reader035.vdocuments.net/reader035/viewer/2022062515/56649c825503460f9493a13b/html5/thumbnails/27.jpg)
Wibisono Sukmo Wardhono, ST, MThttp://wibiwardhono.lecture.ub.ac.id
Morgan
Annisa
Sashihara Rino
Ye Sung
Bisma
Super Junior
Cherrybelle
SM*SH
AKB48
A BIndonesia
Korea
Jepang
Cℛ S
![Page 28: Wibisono Sukmo Wardhono, ST, MT Any question ?](https://reader035.vdocuments.net/reader035/viewer/2022062515/56649c825503460f9493a13b/html5/thumbnails/28.jpg)
Wibisono Sukmo Wardhono, ST, MThttp://wibiwardhono.lecture.ub.ac.id
Morgan
Annisa
Sashihara Rino
Ye Sung
Bisma
Super Junior
Cherrybelle
SM*SH
AKB48
A BIndonesia
Korea
Jepang
Cℛ S
![Page 29: Wibisono Sukmo Wardhono, ST, MT Any question ?](https://reader035.vdocuments.net/reader035/viewer/2022062515/56649c825503460f9493a13b/html5/thumbnails/29.jpg)
Wibisono Sukmo Wardhono, ST, MThttp://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
![Page 30: Wibisono Sukmo Wardhono, ST, MT Any question ?](https://reader035.vdocuments.net/reader035/viewer/2022062515/56649c825503460f9493a13b/html5/thumbnails/30.jpg)
Wibisono Sukmo Wardhono, ST, MThttp://wibiwardhono.lecture.ub.ac.id
ab
cd
Equivalent Relation
![Page 31: Wibisono Sukmo Wardhono, ST, MT Any question ?](https://reader035.vdocuments.net/reader035/viewer/2022062515/56649c825503460f9493a13b/html5/thumbnails/31.jpg)
Wibisono Sukmo Wardhono, ST, MThttp://wibiwardhono.lecture.ub.ac.id
NIM Nama Matakuliah Nilai
101 Wibisono Mat.Diskrit C
101 Wibisono StrukDat D+
102 Sukmo Mat.Diskrit A
102 Sukmo StrukDat B+
![Page 32: Wibisono Sukmo Wardhono, ST, MT Any question ?](https://reader035.vdocuments.net/reader035/viewer/2022062515/56649c825503460f9493a13b/html5/thumbnails/32.jpg)
Wibisono Sukmo Wardhono, ST, MThttp://wibiwardhono.lecture.ub.ac.id
NIM
Nama
Matakuliah
Nilai
n-ary relation
![Page 33: Wibisono Sukmo Wardhono, ST, MT Any question ?](https://reader035.vdocuments.net/reader035/viewer/2022062515/56649c825503460f9493a13b/html5/thumbnails/33.jpg)
Wibisono Sukmo Wardhono, ST, MThttp://wibiwardhono.lecture.ub.ac.id
NIM Nama
2-ary relationbinary relation