Rule-1: (0, 0), and (1, 1) are in T
Rule-2: If (a, b) is in T, then so is (a+2, b).
Rule-3: If (a, b) is in T then so is (a, b+2).
(i) List the first 10 elements/pairs (a, b) of set T in increasing order. Use a+b as value of a pair (a, b) for ordering purpose. Break ties arbitrary. Start with (0, 0).
(ii) The set T can be defined non-inductively using several other ways. Give one such definition that does not use induction or recursion but uses set comprehension. In other words, T = { (a, b) | some property P is satisfied by a, b}. State property P.
2007-10-07
15:50:24
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2 answers
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asked by
simonkf2002
1
in
Mathematics