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+--- Thread: 300 posts! (/thread-2358.html)
300 posts! - geodave - 22-Feb-2012
Yes, the answer to the locker problem is all the square numbers. What this means, really, is that square numbers are the numbers that have duplicate divisors, and so end up with an odd number of toggles.
300 posts! - rockdet - 22-Feb-2012
Pretty much. We used to love fooling around with those at college
Also, I remember solving that problem last semester in my class
300 posts! - geodave - 22-Feb-2012
Hey, if you REALLY want to mess around, here's my favorite totally unnecessary math problem:
300 posts! - BitBuster - 22-Feb-2012
Oh my.
300 posts! - Lessinath - 22-Feb-2012
You like math aye?
Here are enough weather related formulas to keep you busy for a long time.
Know how to convert degrees F (T<sub>F</sub>) and degrees C (T<sub>C</sub>) to kelvin (T<sub>K</sub>).
http://www.aprweathe.../pages/calc.htm
300 posts! - geodave - 27-Feb-2012
Actually, C and K are the same, except for the offset, so that's pretty simple.
My favorite process for going between C and F (and back) is the -40 rule. -40C = -40F. So, no matter what you start with, the three steps are:
1. Add 40
2. Convert units
3. Subtract 40
It is by far the easiest and it is exact. In the Midnight Oil song he says "The Western Desert lives and breathes at 45 degrees". Well that means nothing to me, so I add 40 (85), change units (85 * 9 / 5 = 17 * 9 = 153), subtract 40 is 113 degrees F. DAMN that's hot!
300 posts! - geodave - 27-Feb-2012
Quote:Problem: Break a 40 kg weight into 4 pieces such that those pieces can then be used to measure any (integer) weight from 1 to 40 kg using a balance.
Solution uses balanced ternary (digits: -1, 0, +1).
- Madhav.
Sorry to spoil this for others (not really!), but powers of three is the answer. You have to use a balance, of course, to do the measuring.
Nice problem, since there isn't really an equivalent in other bases.
300 posts! - rockdet - 27-Feb-2012
Also, just pointing out that I have 600 posts, which is twice the title of this topic.
I like those maths.
300 posts! - geodave - 27-Feb-2012
Quote:Also, just pointing out that I have 600 posts, which is twice the title of this topic.
I like those maths.
Perhaps it is you who needs to buy a life??
300 posts! - BitBuster - 28-Feb-2012
Quote:My favorite process for going between C and F (and back) is the -40 rule.
I've never had a problem with the "multiply by 9/5, add 32" rule. Actually, I never heard of the -40 rule before...seems a bit inconvenient, with the extra step and all.