micronesia United States. April 19 2008 11:57. Posts 19280 | Profile Blog # |
1) 1+7
2) 4*3
3) 12-9
4) 14/7
5) How many two dimensional surfaces does a seven dimensional (hyper) cube have? Justify your answer.
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| | Thanks Epoxide for all your help. Without you I never would have figured out how to install that boost gauge into my car. | |
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| EmeraldSparks United States. April 19 2008 12:02. Posts 1379 | Profile Blog # |
1. 42 2. 42 3. 42 4. 42 5. 42 |
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| MeriaDoKk Chile. April 19 2008 12:19. Posts 1688 | Profile Blog # | |
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| Boblion France. April 19 2008 12:24. Posts 7794 | Profile Blog # | |
| | fuck all those elitists brb watching streams of elite players. |
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| Lemonwalrus United States. April 19 2008 12:28. Posts 5445 | Profile Blog # |
1. 8 2. 12 3. 3 3. 2 5. 672. (E sub m,n = 2 to the n-m * (n! / m!(n-m)!) where n equals cube dimensions and m equals surface dimensions.)Last edit: 2008-04-19 12:29:25 |
| <Aesop> then you can just divide by esports | <boesdropSAD> i want to fuck to black metal | <Hurricane|> I like 9 year old
<TorteDeBanned> I would love to do it with 2-3 guys here~ | <Coagulation> you sound like your unhappy i nailed your GF |
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| Boblion France. April 19 2008 12:31. Posts 7794 | Profile Blog # |
| I see a lot of Romanian potential here. |
| | fuck all those elitists brb watching streams of elite players. |
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micronesia United States. April 19 2008 12:32. Posts 19280 | Profile Blog # |
On April 19 2008 12:28 Lemonwalrus wrote: 5. 672. (E sub m,n = 2 to the n-m * (n! / m!(n-m)!) where n equals cube dimensions and m equals surface dimensions.)
Is that what you get when the take the matrix:
1 1 1 1 2 1 1 3 3 1 1 4 6 4 1 1 5 10 10 5 1 1 6 15 20 15 6 1 1 7 21 35 35 23 7 1
and square it?Last edit: 2008-04-19 12:34:23 |
| | Thanks Epoxide for all your help. Without you I never would have figured out how to install that boost gauge into my car. | |
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| Lemonwalrus United States. April 19 2008 12:33. Posts 5445 | Profile Blog # |
I just found a formula to solve the problem, the actual math/reasoning involved is way above my head, sorry. 
Edit: And I don't even remember how to do the simplest of calculations using matrices.Last edit: 2008-04-19 12:35:09 |
| <Aesop> then you can just divide by esports | <boesdropSAD> i want to fuck to black metal | <Hurricane|> I like 9 year old
<TorteDeBanned> I would love to do it with 2-3 guys here~ | <Coagulation> you sound like your unhappy i nailed your GF |
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| Boblion France. April 19 2008 12:34. Posts 7794 | Profile Blog # |
Hawk could help you to do your homework i think.
[spoiler][spoiler][spoiler][spoiler]+ Show Spoiler +[spoiler][/spolier]Last edit: 2008-04-19 12:40:49 |
| | fuck all those elitists brb watching streams of elite players. |
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micronesia United States. April 19 2008 12:34. Posts 19280 | Profile Blog # |
On April 19 2008 12:33 Lemonwalrus wrote:I just found a formula to solve the problem, the actual math/reasoning involved is way above my head, sorry. 
Tomorrow when I have time I'll run through the calculations for my method to check if you are correct (unless someone else comes here and gives a convincing response) |
| | Thanks Epoxide for all your help. Without you I never would have figured out how to install that boost gauge into my car. | |
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| Lemonwalrus United States. April 19 2008 12:36. Posts 5445 | Profile Blog # |
| What level math is this for? |
| <Aesop> then you can just divide by esports | <boesdropSAD> i want to fuck to black metal | <Hurricane|> I like 9 year old
<TorteDeBanned> I would love to do it with 2-3 guys here~ | <Coagulation> you sound like your unhappy i nailed your GF |
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| azndsh United States. April 19 2008 12:36. Posts 4252 | Profile Blog # |
| if you fix 5 coordinates, the remaining 2 coordinates determine a unit square... thus 632 Last edit: 2008-04-19 12:37:20 |
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micronesia United States. April 19 2008 12:37. Posts 19280 | Profile Blog # |
On April 19 2008 12:36 Lemonwalrus wrote: What level math is this for?
It's just satire but I didn't want to make a COMPLETELY insubstantial post so I added a random math procedure I vaguely understand (with no other exigency for posting it).
azndsh I think you need to explain that..Last edit: 2008-04-19 12:38:10 |
| | Thanks Epoxide for all your help. Without you I never would have figured out how to install that boost gauge into my car. | |
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| Lemonwalrus United States. April 19 2008 12:40. Posts 5445 | Profile Blog # |
On April 19 2008 12:37 micronesia wrote: azndsh I think you need to explain that..
Second. |
| <Aesop> then you can just divide by esports | <boesdropSAD> i want to fuck to black metal | <Hurricane|> I like 9 year old
<TorteDeBanned> I would love to do it with 2-3 guys here~ | <Coagulation> you sound like your unhappy i nailed your GF |
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| azndsh United States. April 19 2008 12:45. Posts 4252 | Profile Blog # |
say your hypercube has coordinates either 0 or 1 in 7 dimensional space. Thus, one of these squares would be the following four points (0, 0, 0, 0, 0, 0 ,0) (1, 0, 0, 0, 0, 0, 0) (0, 1, 0, 0, 0, 0, 0) (1, 1, 0, 0, 0, 0, 0)
Notice that only the first 2 coordinates are different. Its easy to see that is true for any unit square. I could describe this square as (x, x, 0, 0, 0, 0, 0) Thus 5 coordinates are fixed, while the remaining 2 describe the square.
There are (7 choose 5) * 2^5 ways to fix 5 coordinates
The other formula corresponds to the general case.Last edit: 2008-04-19 12:46:26 |
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micronesia United States. April 19 2008 12:53. Posts 19280 | Profile Blog # |
| According to my method I get 21x1 + 35x3 + 35x6 + 21x10 + 7x15 + 1x21 = 672. I think lemonwalrus' method was correct azndsh |
| | Thanks Epoxide for all your help. Without you I never would have figured out how to install that boost gauge into my car. | |
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| Lemonwalrus United States. April 19 2008 12:55. Posts 5445 | Profile Blog # |
Azndsh's method, as far as I can tell, supports my method, but simply shows that my method is only applicable under certain conditions, where his is more universal. Then again I might be trying to understand things that I simply cannot.
Edit: (7 choose 5) * 2^5 = 672, right?Last edit: 2008-04-19 12:57:33 |
| <Aesop> then you can just divide by esports | <boesdropSAD> i want to fuck to black metal | <Hurricane|> I like 9 year old
<TorteDeBanned> I would love to do it with 2-3 guys here~ | <Coagulation> you sound like your unhappy i nailed your GF |
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| azndsh United States. April 19 2008 13:03. Posts 4252 | Profile Blog # |
yes, my method is exactly how to arrive at your formula
you can extend the argument to arbitrary (m,n) |
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micronesia United States. April 19 2008 13:06. Posts 19280 | Profile Blog # |
| So... is it 632 or 672... |
| | Thanks Epoxide for all your help. Without you I never would have figured out how to install that boost gauge into my car. | |
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| Lemonwalrus United States. April 19 2008 13:10. Posts 5445 | Profile Blog # |
| Where are you getting 632? |
| <Aesop> then you can just divide by esports | <boesdropSAD> i want to fuck to black metal | <Hurricane|> I like 9 year old
<TorteDeBanned> I would love to do it with 2-3 guys here~ | <Coagulation> you sound like your unhappy i nailed your GF |
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