A general rule or not

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nafistiham
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A general rule or not

Unread post by nafistiham » Sat Feb 04, 2012 3:46 pm

let $a,b,c \in \mathbb{N}$, $\left \lfloor x \right \rfloor$ denote the greatest integer $\leq x$ and $min\left \{x,y \right \}$ denote the minimum of $x$ and $y$
prove or disprove that,

\[c \cdot \left \lfloor \frac{a}{b} \right \rfloor\ - \left \lfloor \frac{c}{a} \right \rfloor\ \cdot \left \lfloor \frac{c}{b} \right \rfloor\ \leq c \cdot min\left \{ a,b \right \}\]
\[\sum_{k=0}^{n-1}e^{\frac{2 \pi i k}{n}}=0\]
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sourav das
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Re: A general rule or not

Unread post by sourav das » Sat Feb 04, 2012 5:07 pm

$c=1,a=2^n,b=2$
You spin my head right round right round,
When you go down, when you go down down......
(-$from$ "$THE$ $UGLY$ $TRUTH$" )

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