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Консультация № 199423
26.10.2020, 11:35
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Здравствуйте! У меня возникли сложности с таким вопросом:
Дано множество A и бинарное отношение R [$8712$] A x A .
4.1. Найти его область определения и область значений отношения R.
4.2. Построить граф отношения R.
4.3. Проверить, является ли отношение R:
А. Рефлексивным.
Б. Симметричным.
В. Транзитивным
R = {(1,2); (2,3); (4,5); (3,2); (1,3)}, A={1,2,3,4,5}
Спасибо за внимание
Дано множество A и бинарное отношение R [$8712$] A x A .
4.1. Найти его область определения и область значений отношения R.
4.2. Построить граф отношения R.
4.3. Проверить, является ли отношение R:
А. Рефлексивным.
Б. Симметричным.
В. Транзитивным
R = {(1,2); (2,3); (4,5); (3,2); (1,3)}, A={1,2,3,4,5}
Спасибо за внимание
Обсуждение
14.07.2022, 13:25
общий
это ответ
Здравствуйте, KoreanLamer!
4.1.
-- область определения бинарного отношения; 
-- область значений бинарного отношения.
4.2. Граф бинарного отношения показан в прикреплённом файле.
4.3.А. Бинарное отношение не является рефлексивным, потому что ни для одного элемента
поля бинарного отношения не имеет места 
Например, не выполняется 
4.3.Б. Будем исходить из того, что бинарное отношение
на множестве 
называется симметричным, если для любой пары 
из 
следует 
(то есть или выполняется в обе стороны, или не выполняется вообще). Рассматриваемое бинарное отношение не является симметричным. Например, из 
не следует 
4.3.В. Бинарное отношение не является транзитивным. Например, из
и 
не следует 
4.1.
-- область определения бинарного отношения; -- область значений бинарного отношения.4.2. Граф бинарного отношения показан в прикреплённом файле.
4.3.А. Бинарное отношение не является рефлексивным, потому что ни для одного элемента
поля бинарного отношения не имеет места Например, не выполняется 4.3.Б. Будем исходить из того, что бинарное отношение
на множестве называется симметричным, если для любой пары из следует (то есть или выполняется в обе стороны, или не выполняется вообще). Рассматриваемое бинарное отношение не является симметричным. Например, из не следует 4.3.В. Бинарное отношение не является транзитивным. Например, из
и не следует
Прикрепленные файлы:
Об авторе:
Facta loquuntur.
Facta loquuntur.
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