Wednesday, May 18, 2005
9:54
Bible study this morning at 7:30. Romans 2. External conformity to the law versus internal holiness.
Okay, here's a thought about the star formations. Say the total number of stars is N, and say F(N) yields the number of combinations on N stars. You start out with the top row, which has X stars in it. Then you have N-X stars to play with beneath that. There will be F(N-X) such combinations, as long as X < (1/2)N. But of course it's more complicated if some of the combinations are not allowed because the top row isn't long enough to accomodate them.
Okay, here's a thought about the star formations. Say the total number of stars is N, and say F(N) yields the number of combinations on N stars. You start out with the top row, which has X stars in it. Then you have N-X stars to play with beneath that. There will be F(N-X) such combinations, as long as X < (1/2)N. But of course it's more complicated if some of the combinations are not allowed because the top row isn't long enough to accomodate them.
# posted by Fibonacci @ 18.5.05 
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Shouldn't the equation rather be "X <= (1/2)N"? And wouldn't that equation make sure the row length doesn't exceed that allowed?
# posted by 
: 11:43 AM
: 11:43 AM
Yeah, that's right. And that's exactly what it does. But shapes that obey that equation don't tell the whole story.
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