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Бинарная операция

Бинарная операция

Бина́рной опера́цией или двуме́стной опера́цией на множестве M называется отображение M\times M \to M, которое каждым двум элементам множества M, называемых операндами, ставит в соответствие некоторый элемент того же множества, называемый результатом. Бинарную операцию принято обозначать знаком действия, который ставится между операндами. Например, для бинарной операции «\cdot» результат её применения к двум элементам x\,\! и y\,\! записывается в виде x\cdot y. Бинарная операция «\cdot» называется коммутативной, если её результат не зависит от перестановки операндов, т. е. x\cdot y = y\cdot x для любых x,y\in M. Бинарная операция «\cdot» называется ассоциативной, если (x\cdot y)\cdot z = x\cdot (y\cdot z) для любых x,y,z\in M. Для ассоциативной операции «\cdot» результат вычисления x_1\cdot x_2 \cdot\dots\cdot x_n не зависит от порядка вычисления (расстановки скобок), и потому позволяется опускать скобки в записи. Для неассоциативной операции выражение x_1\cdot x_2 \cdot\dots\cdot x_n при n>2\,\! не определено. Примерами бинарных операций могут служить сложение, умножение и вычитание чисел. Причём сложение и умножение чисел являются коммутативными и ассоциативными операциями, а вычитание — нет.

См. также


- арность
- унарная операция
- тернарная операция Category:Абстрактная алгебра ja:二項演算

Nøklebåndfamilien

Nøkleblomfamilien eller nøklebåndfamilien (Primulaceae) er en plantefamilie i ordenen Ericales. Den omfatter ca. 1000 arter fordelt på 20 planteslekter. Ca. 14 arter vokser i Norge, og mest kjent er marianøkleblom (Primula veris).

Kjente slekter


- Anagallis
- Androsace
- Cyclamen
- Glaux
- Hottonia
- Fredløs (Lysimachia)
- Primula
- Trientalis ja:サクラソウ科

House sylwester rozstpy Szkolenia bhp Granada accommodation










































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