KGS math club/solution 3 1: Difference between revisions
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) | |||
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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
