BOMC-2012 Test Day 2 Problem 2
Find all finite sets $S$ of nonnegative integers with the property that for any $m,n\in S$ we have $|m-n+1|\in S$.
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Nur Muhammad Shafiullah | Mahi
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Nur Muhammad Shafiullah | Mahi
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Re: BOMC-2012 Test Day 2 Problem 2
My answer was all finite sets with first $n$ odd natural numbers.
Last edited by sourav das on Thu Apr 12, 2012 1:21 am, edited 2 times in total.
Reason: Posted in wrong topic, so moved.
Reason: Posted in wrong topic, so moved.
- nafistiham
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Re: BOMC-2012 Test Day 2 Problem 2
Same here.
\[\sum_{k=0}^{n-1}e^{\frac{2 \pi i k}{n}}=0\]
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- Phlembac Adib Hasan
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Re: BOMC-2012 Test Day 2 Problem 2
Me too.
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- Nadim Ul Abrar
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- nafistiham
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Re: BOMC-2012 Test Day 2 Problem 2
In these type of problems, trial and error with small integers help a lot to guess out the possible solution and advance toward it with logic.
\[\sum_{k=0}^{n-1}e^{\frac{2 \pi i k}{n}}=0\]
Using $L^AT_EX$ and following the rules of the forum are very easy but really important, too.Please co-operate.
Using $L^AT_EX$ and following the rules of the forum are very easy but really important, too.Please co-operate.