2.2. Topshiriqning bajarilisi bo’yicha na’muna
1) Dl(R1)= {a, b. c, d, e} Dl(R2)= {1, 2.3,4}
Dr(R1)= {1, 2. 3, 4} Dr(R2)= {2. 3, 4}
2) Munosabat martitsalari:
3) refleksiv emas, chunki
simmetrik emas, chunki
antisimmetrik emas, chunki
tranzitiv emas, chunki
2.3. Munosabatlar kompozitsiyasiga doir topshiriqlar
A={a,b,c}, B={1,2,3}, C={α,β,γ} to‘plamlarda aniqlangan vа binаr munosаbаtlаrning kopаytmаsi yoki kompozitsiyasi topilsin:
2.3.1.
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R1={(a,3),(b,2),(c,1),(c,2)}, R2={(1,β),(2,α),(3,β), (3,γ)}
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2.3.15.
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R1={(a,3),(a,2),(a,1)}, R2={(2,γ),(1,α),(1,β)}
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2.3.2.
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R1={(a,1),(a,3),(c,1),(c,3)}, R2={(2,α),(2,γ),(1,β), (3,α)}
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2.3.16.
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R1={(a,3),(a,2),(a,1)}, R2={(1,γ),(3,α),(1,β)}
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2.3.3.
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R1={(a,2),(b,1),(c,3)}, R2={(1,β),(2,β), (3,α)}
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2.3.17.
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R1={(a,3),(a,2),(a,1)}, R2={(1,γ),(1,α),(3,β)}
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2.3.4.
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R1={(a,3),(b,2),(c,1)}, R2={(1,γ),(2,α),(3,α)}
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2.3.18.
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R1={(a,3),(a,2),(a,1)}, R2={(3,γ),(2,α),(2,β)}
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2.3.5.
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R1={(a,2),(b,3),(c,1)}, R2={(1,γ),(2,β),(3,α)}
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2.3.19.
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R1={(a,3),(a,2),(a,1)}, R2={(2,γ),(3,α),(2,β)}
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2.3.6.
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R1={(b,3),(b,2),(b,1)}, R2={(2,γ),(2,α),(2,β)}
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2.3.20.
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R1={(a,3),(a,2),(a,1)}, R2={(2,γ),(2,α),(3,β)}
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2.3.7.
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R1={(a,1),(a,2),(a,3)}, R2={(3,γ),(3,α),(3,β)}
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2.3.21.
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R1={(b,3),(b,2),(b,1)}, R2={(3,β),(1,α),(1,β)}
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2.3.8.
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R1={(c,3),(c,2),(c,1)}, R2={(1,γ),(1,α),(2,β)}
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2.3.22.
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R1={(b,3),(b,2),(b,1)}, R2={(3,β),(1,α),(1,γ)}
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2.3.9.
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R1={(c,3),(c,2),(c,1)}, R2={(2,γ),(2,α),(2,β)}
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2.3.23.
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R1={(b,3),(b,2),(b,1)}, R2={(3,β),(1,α),(1,β)}
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2.3.10.
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R1={(c,3),(c,2),(c,1)}, R2={(3,γ),(3,α),(3,β)}
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2.3.24.
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R1={(b,3),(b,2),(b,1)}, R2={(3,β),(2,α),(2,β)}
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2.3.11.
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R1={(a,3),(a,2),(a,1)}, R2={(1,γ),(1,α),(1,β)}
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2.3.25.
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R1={(b,3),(b,2),(b,1)}, R2={(3,β),(2,α),(2,γ)}
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2.3.12.
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R1={(a,3),(a,2),(a,1)}, R2={(2,γ),(2,α),(2,β)}
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2.3.26.
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R1={(b,3),(b,2),(b,1)}, R2={(2,β),(2,γ),(3,α)}
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2.3.13.
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R1={(b,3),(b,2),(b,1)}, R2={(1,γ),(1,α),(1,β)}
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2.3.27.
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R1={(b,3),(b,2),(b,1)}, R2={(3,β),(3,α),(2,γ)}
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2.3.14.
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R1={(b,3),(b,2),(b,1)}, R2={(3,γ),(3,α),(3,β)}
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2.3.28.
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R1={(b,3),(b,2),(b,1)}, R2={(1,β),(3,α),(3,γ)}
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2.3.29.
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R1={(b,3),(b,2),(b,1)}, R2={(3,β),(3,γ),(2,β)}
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2.3. Munosabatlar kompozitsiyasiga doir topshiriq(na’muna)
A={a,b,c}, B={1,2,3}, C={α,β,γ} to‘plamlarda aniqlangan vа binаr munosаbаtlаrning kopаytmаsi yoki kompozitsiyasi topilsin:
1.6.0.
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R1={(a,2),(a,3),(b,1),(c,2)}, R2={(1,α),(2,α),(2,β), (3,γ)}
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2.3. Topshiriqning bajarilishi bo’yicha na’muna
1.6.0. vа binаr munosаbаtlаrning kopаytmаsi yoki kompozitsiyasi,
kabi aniqlanadi, shunga ko‘ra:
{(a,2);(a,3);(b,1);(c,2)} {(1,α);(2,α);(2,β);(3,γ)}=
={(a,β);(a,α);(a,γ);(b,α);(c, α);(c, β)}
2-usul. R1 va R2 munosabatlarni quyidagicha chizmalarda ifodalab olamiz:
A to‘plam elementlarini B to‘plam elementlari orqali C to‘plam elementlari bilan bog‘lash mumkin bo‘lgan yo‘llarning uchlaridan iborat bo‘lgan to‘plamga R1 va R2 munosabatlarning kompozitsiyasini tashkil qiladi.
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