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) симметрияға қарсы қасиетті қанағаттандырады.
Мысалдар:
1) Теңдіктер қатынастары рефлексивтік, симметриялы қатынасқа жатады.
2) Қос сандардан тұратын «үлкен», «кіші» қатынастар рефлексивке қарсы және симметрияға қарсы қатынасқа жатады.
– ге қатысты кортеж құратын элементтер жеке элементтерінде емес, олардың жиынтықтарында болып табылатын қасиет бар.
3) Түзулердің параллельдігі рефлексивті және симметриялы қатынасқа жатады.
Транзитивтік қатынас үшін .
Достарыңызбен бөлісу: |