EPT2) 4*3
3) 12-9
4) 14/7
5) How many two dimensional surfaces does a seven dimensional (hyper) cube have? Justify your answer.
Math Homework Help
| Blogs > micronesia |
micronesia
United States24782 Posts
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. | ||
|
EmeraldSparks
United States1451 Posts
2. 42 3. 42 4. 42 5. 42 | ||
|
MeriaDoKk
Chile1726 Posts
2.-15 3.-7 4.-67 5.-2 | ||
|
Boblion
France8043 Posts
2) 12 3) 3 4) 2 5) + Show Spoiler + ![[image loading]](http://pix.nofrag.com/b/e/8/9f5e3204ed557d25b6473bb313417.jpg) ![[image loading]](http://pix.nofrag.com/7/a/b/777b192f5af6b4e588bba2c12beab.gif) | ||
|
Lemonwalrus
United States5465 Posts
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.) | ||
|
Boblion
France8043 Posts
| ||
|
micronesia
United States24782 Posts
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? | ||
|
Lemonwalrus
United States5465 Posts
 Edit: And I don't even remember how to do the simplest of calculations using matrices. | ||
|
Boblion
France8043 Posts
[spoiler][spoiler][spoiler][spoiler]+ Show Spoiler + + Show Spoiler + you are mocking him ? | ||
|
micronesia
United States24782 Posts
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) | ||
|
Lemonwalrus
United States5465 Posts
| ||
|
azndsh
United States4447 Posts
| ||
|
micronesia
United States24782 Posts
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.. | ||
|
Lemonwalrus
United States5465 Posts
On April 19 2008 12:37 micronesia wrote: azndsh I think you need to explain that.. Second. | ||
|
azndsh
United States4447 Posts
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. | ||
|
micronesia
United States24782 Posts
| ||
|
Lemonwalrus
United States5465 Posts
Edit: (7 choose 5) * 2^5 = 672, right? | ||
|
azndsh
United States4447 Posts
you can extend the argument to arbitrary (m,n) | ||
|
micronesia
United States24782 Posts
| ||
|
Lemonwalrus
United States5465 Posts
| ||
| ||
