Monday, November 18, 2013

Meet The Parents

A girl brought her boy friend home to meet her parents. After dinner, her mother told the father to find out about the young man. So he invited the boy to his study for tea.

"So what are your plans?" the father asked the boy.
"I am a religious scholar and I want to marry your daughter" he replied.
"A scholar!" the father said, "That's admirable, but what will you do to provide a nice and comfortable house for my daughter to live in?"
"I will study," the young man replied, "and God will provide for us."

"What are your plans for your future living with my daughter?" the father continued to ask.
"I will concentrate on my studies," the young man replied, "God will provide for us."
"And how will you buy her a beautiful engagement ring, such as she deserves?" asked the father.
"No worries," the young man replied, "God will provide for us."
"And children?" asked the father, "What about the children?"
"Don't worry, sir, I'm sure God will provide for us." replied the boy.

So the conversation continued, and finally the mother came in, took the father away and asked, "How did it go?"
The father answered, "He has no job. He has no plans. He knows only one thing; he thinks I'm God."

Friday, November 1, 2013

0, 1 and Infinity

Quiz - "Can you walk 1 mile south, then walk 1 mile east and finally walk 1 mile north to end up where you started?"

Answers:
1. No. We need to walk 1 mile west to come back to where we started.
    Begin from the starting point A, walk 1 mile south to point P. Then walk 1 mile east to point Q. Finally, walk 1 mile north to point B. We are still 1 mile east of A where we started.
2. Yes, when we are at North Pole.
     At North Pole N, any direction will head south. So just choose one and walk 1 mile to get to point P. Then walk 1 mile east to get to point Q. Finally, walk 1 mile north to get back to North Pole N where we started.
3. Yes, there are infinitely many places we can do so.
    There is a circle with circumference of 1 mile around the South Pole S. From any point Q on this circle, we can walk east for 1 mile encircling the South Pole S once to get back to Q. 1 mile north of Q, we can find a place P.
    Now, starting from place P, walk 1 mile south to get to point Q. Then walk 1 mile east encircling the South Pole S once to get back to Q. Finally, walk 1 mile north to get back to P where we started. Since Q is an arbitrary point on the circle, P is also arbitrary. Hence there are infinitely many places of P we can do so.
   
        Furthermore, we can find a circle with circumference of 1/2 mile around the South Pole S. From any point Q on this circle, we can walk 1 mile east encircling the South Pole twice to get back to Q. From Q, find place P as above. Likewise, we can find circles of circumferences of 1/3 mile, 1/4 mile and 1/5 mile etc. around the South Pole S and from any point Q on the circles, walk 1 mile east encircling the South Pole S 3 times, 4 times and 5 times etc respectively to get back to Q. Thus theoretically, we have infinitely many circles and infinitely many points Q, and hence infinitely many places of P we can do so.