Difference between revisions of "KGS math club/solution 3 1"
(New page: the distance between the origin and a center of a little sphere is sqrt(n). => The radius of the big sphere is sqrt(n)-1 So we must have sqrt(n)-1 <= 2, or n<=9) |
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| − | + | The distance between the origin and a center of a little sphere is sqrt(1<sup>2</sup>+1<sup>2</sup>+...1<sup>2</sup>) = sqrt(n) | |
| − | = | ||
| − | So we must have sqrt(n)-1 <= 2, or n<=9 | + | => |
| + | |||
| + | The radius of the big sphere is sqrt(n)-1 | ||
| + | |||
| + | => | ||
| + | |||
| + | So we must have sqrt(n)-1 <= 2, or n <= 9 | ||
Latest revision as of 12:33, 1 July 2008
The distance between the origin and a center of a little sphere is sqrt(12+12+...12) = sqrt(n)
=>
The radius of the big sphere is sqrt(n)-1
=>
So we must have sqrt(n)-1 <= 2, or n <= 9
