Married life is full of excitement and frustration:
* In the first year of marriage, the man speaks and the woman listens.
* In the second year, the woman speaks and the man listens.
* In the third year, they both speak and the neighbors listen.
It is true that love is blind but marriage is definitely an eye-opener.
Getting married is very much like going to the restaurant with friends. You order what you want, and when you see what the other fellow has, you wish you had ordered that.
It's true that all men are born free and equal, but some of them get married!
There was this man who muttered a few words in the church and found himself married. A year later he muttered something in his sleep and found himself divorced.
A happy marriage is a matter of giving and taking; the husband gives and the wife takes.
Son: How much does it cost to get married, Dad?
Father: I don't know son, I'm still paying for it.
Son: Is it true? Dad, I heard that in ancient China, a man doesn't know his wife until he marries.
Father: That happens everywhere, son, everywhere!
20060121
20060115
Equal positive integers
Theorem: All positive integers are equal.
Proof: Sufficient to show that for any two positive integers, A and B, A = B.
Further, it is sufficient to show that for all N > 0, if A and B (positive integers) satisfy (MAX(A, B) = N) then A = B.
Proceed by induction.
If N = 1, then A and B, being positive integers, must both be 1. So A = B.
Assume that the theorem is true for some value k. Take A and B with MAX(A, B) = k+1. Then MAX((A-1), (B-1)) = k. And hence (A-1) = (B-1). Consequently, A = B.
Proof: Sufficient to show that for any two positive integers, A and B, A = B.
Further, it is sufficient to show that for all N > 0, if A and B (positive integers) satisfy (MAX(A, B) = N) then A = B.
Proceed by induction.
If N = 1, then A and B, being positive integers, must both be 1. So A = B.
Assume that the theorem is true for some value k. Take A and B with MAX(A, B) = k+1. Then MAX((A-1), (B-1)) = k. And hence (A-1) = (B-1). Consequently, A = B.
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