2-mavzu Munosabatlar ustida amallar. Munosabatlar kompozitsiyasi



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2 AMALIY MASHGULOT (1)

Munosabatlar kompozitsiyasi

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.

R1={(a,2),(a,3),(b,1),(c,2)}, R2={(1,α),(2,α),(2,β), (3,γ)}

1.6.15.

R1={(a,3),(a,2),(a,1)}, R2={(2,γ),(1,α),(1,β)}

1.6.1.

R1={(a,3),(b,2),(c,1),(c,2)}, R2={(1,β),(2,α),(3,β), (3,γ)}

1.6.16.

R1={(a,3),(a,2),(a,1)}, R2={(1,γ),(3,α),(1,β)}

1.6.2.

R1={(a,1),(a,3),(c,1),(c,3)}, R2={(2,α),(2,γ),(1,β), (3,α)}

1.6.17.

R1={(a,3),(a,2),(a,1)}, R2={(1,γ),(1,α),(3,β)}

1.6.3.

R1={(a,2),(b,1),(c,3)}, R2={(1,β),(2,β), (3,α)}

1.6.18.

R1={(a,3),(a,2),(a,1)}, R2={(3,γ),(2,α),(2,β)}

1.6.4.

R1={(a,3),(b,2),(c,1)}, R2={(1,γ),(2,α),(3,α)}

1.6.19.

R1={(a,3),(a,2),(a,1)}, R2={(2,γ),(3,α),(2,β)}

1.6.5.

R1={(a,2),(b,3),(c,1)}, R2={(1,γ),(2,β),(3,α)}

1.6.20.

R1={(a,3),(a,2),(a,1)}, R2={(2,γ),(2,α),(3,β)}

1.6.6.

R1={(b,3),(b,2),(b,1)}, R2={(2,γ),(2,α),(2,β)}

1.6.21.

R1={(b,3),(b,2),(b,1)}, R2={(3,β),(1,α),(1,β)}

1.6.7.

R1={(a,1),(a,2),(a,3)}, R2={(3,γ),(3,α),(3,β)}

1.6.22.

R1={(b,3),(b,2),(b,1)}, R2={(3,β),(1,α),(1,γ)}

1.6.8.

R1={(c,3),(c,2),(c,1)}, R2={(1,γ),(1,α),(2,β)}

1.6.23.

R1={(b,3),(b,2),(b,1)}, R2={(3,β),(1,α),(1,β)}

1.6.9.

R1={(c,3),(c,2),(c,1)}, R2={(2,γ),(2,α),(2,β)}

1.6.24.

R1={(b,3),(b,2),(b,1)}, R2={(3,β),(2,α),(2,β)}

1.6.10.

R1={(c,3),(c,2),(c,1)}, R2={(3,γ),(3,α),(3,β)}

1.6.25.

R1={(b,3),(b,2),(b,1)}, R2={(3,β),(2,α),(2,γ)}

1.6.11.

R1={(a,3),(a,2),(a,1)}, R2={(1,γ),(1,α),(1,β)}

1.6.26.

R1={(b,3),(b,2),(b,1)}, R2={(2,β),(2,γ),(3,α)}

1.6.12.

R1={(a,3),(a,2),(a,1)}, R2={(2,γ),(2,α),(2,β)}

1.6.27.

R1={(b,3),(b,2),(b,1)}, R2={(3,β),(3,α),(2,γ)}

1.6.13.

R1={(b,3),(b,2),(b,1)}, R2={(1,γ),(1,α),(1,β)}

1.6.28.

R1={(b,3),(b,2),(b,1)}, R2={(1,β),(3,α),(3,γ)}

1.6.14.

R1={(b,3),(b,2),(b,1)}, R2={(3,γ),(3,α),(3,β)}

1.6.29.

R1={(b,3),(b,2),(b,1)}, R2={(3,β),(3,γ),(2,β)}



0-topshiriqning ishlanishi.

1.6.0. 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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