writing system of muirhead's theorem

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nafistiham
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writing system of muirhead's theorem

Unread post by nafistiham » Mon Oct 31, 2011 11:03 pm

i am a little confused about the writing system of muirhead's theorem
বইয়ে $[1,1]=2xy$ ও লেখা হয়েছে আবার $xy$ ও লেখা হয়েছে।
$[2,1,0]$ এর মানের ক্ষেত্রে প্রথমে $\frac{1}{3!}$ লেখা হয়েছে কিন্তু অনেক ক্ষেত্রেই শুরুতে $\frac{1}{n!}$ লেখা হয়নি। আসলে নিয়ম টা যে কি ঠিক বুঝতে পারিনি। সম্ভব হলে একটু simplify করার অনুরোধ রইল।
\[\sum_{k=0}^{n-1}e^{\frac{2 \pi i k}{n}}=0\]
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Re: writing system of muirhead's theorem

Unread post by *Mahi* » Tue Nov 01, 2011 12:35 am

You can see that when we are discussing about inequalities, both sides must have the same coefficient, i.e. ,$[2,1,0] \leq [3,0,0]$ and $\frac 1 {3!}[2,1,0] \leq \frac 1 {3!} [3,0,0]$ are the same thing . So the coefficients can be left out if you please.
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Re: writing system of muirhead's theorem

Unread post by nafistiham » Tue Nov 01, 2011 10:32 am

সুতরাং, প্রকৃতপক্ষে প্রতিটার ক্ষেত্রেই $\frac {1} {n!}$ যুক্ত থাকে।
\[\sum_{k=0}^{n-1}e^{\frac{2 \pi i k}{n}}=0\]
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Re: writing system of muirhead's theorem

Unread post by *Mahi* » Tue Nov 01, 2011 3:41 pm

Yes, but they are ignored in problem solving.
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