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108年 - 108 國立中山大學_碩士班招生考試_資工系(甲組)：離散數學#105776
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8.Let
with
. Prove that if
and
, then
.
其他申論題
5. Let be a set of five positive integers the maximum of which is at most 9. Prove that the sums of the elements in all the nonempty subsets of S cannot all be distinct.
#450331
6. Given a nonempty language , prove that if, then.
#450332
7.(a) Find the coefficient of.
#450333
(b) Find the coefficient offor .
#450334
(a) there must be seven men and seven women?
#450336
(b) there must be at least eight men?
#450337
2. Verify that , for primitive statements , and .
#450338
(a) Wiite a quantified statement to express the proper subset relation .
#450339
(b) Negate the result in part (a) to determine when .
#450340
4. (a) Consider an chessboard. It contains eighty-one squares and one square. How many squares?
#450341
with 
. Prove that if 
and 
, then 
.
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with . Prove that if and , then .