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Expand the following down to their representations as sets and simplify.
i.) ⟨1, 2, 3⟩1 =
ii.) ⟨1, 2, 2⟩1 =
These are the definitions i have
Recall the defintion of ordered pairs:
⟨a, b⟩ def = {{a}, {a, b}}
Recall the following expansion and simplification from class
⟨a, a,⟩ = {{a}, {a, a}} = {{a}, {a}} = {{a}}
Using ordered pairs we could define ordered triples in two different ways:
⟨a, b, c⟩1 def = ⟨a, ⟨b, c⟩⟩
⟨a, b, c⟩2 def = ⟨⟨a, b⟩, c⟩
Please note, homework assignments or textbook style exercises for which you are seeking assistance are to be posted in the appropriate forum in our https://www.physicsforums.com/forumdisplay.php?f=152" area. This should be done whether the problem is part of one's assigned coursework or just independent study.
Expand the following down to their representations as sets and simplify.
i.) ⟨1, 2, 3⟩1 =
ii.) ⟨1, 2, 2⟩1 =
These are the definitions i have
Recall the defintion of ordered pairs:
⟨a, b⟩ def = {{a}, {a, b}}
Recall the following expansion and simplification from class
⟨a, a,⟩ = {{a}, {a, a}} = {{a}, {a}} = {{a}}
Using ordered pairs we could define ordered triples in two different ways:
⟨a, b, c⟩1 def = ⟨a, ⟨b, c⟩⟩
⟨a, b, c⟩2 def = ⟨⟨a, b⟩, c⟩
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