solutions to camp exam problem
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nafistiham
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কয়েক সেকেন্ড আগে আমি এটাই খুজতাচিলাম। but,খুব একটা ফল হয় নাই। হেল্প করো। @মাহি @dj
\[\sum_{k=0}^{n-1}e^{\frac{2 \pi i k}{n}}=0\]
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.
Re: solutions to camp exam problem
At last succeeded to create my own solution PDF. 
Please inform if you find any difficulties understanding or bugs in the solutions.
I used miktex texworks to create the document.
Please inform if you find any difficulties understanding or bugs in the solutions.
I used miktex texworks to create the document.
Please read Forum Guide and Rules before you post.
Use $L^AT_EX$, It makes our work a lot easier!
Nur Muhammad Shafiullah | Mahi
Use $L^AT_EX$, It makes our work a lot easier!
Nur Muhammad Shafiullah | Mahi
Re: solutions to camp exam problem
Please do not mind my typesetting errors as it was my first time creating a PDF document from tex files 
I know I'm lousy at this.
I know I'm lousy at this.Please read Forum Guide and Rules before you post.
Use $L^AT_EX$, It makes our work a lot easier!
Nur Muhammad Shafiullah | Mahi
Use $L^AT_EX$, It makes our work a lot easier!
Nur Muhammad Shafiullah | Mahi
Re: solutions to camp exam problem
Where is 12 No ?
Your solution is more difficult than DJ vaiya.
Your solution is more difficult than DJ vaiya.
হার জিত চিরদিন থাকবেই
তবুও এগিয়ে যেতে হবে.........
বাধা-বিঘ্ন না পেরিয়ে
বড় হয়েছে কে কবে.........
তবুও এগিয়ে যেতে হবে.........
বাধা-বিঘ্ন না পেরিয়ে
বড় হয়েছে কে কবে.........
Re: solutions to camp exam problem
I'm sorry, I did what I had to do.
I didn't solve 10 and 12 as I was too occupied with the other problems.
I didn't solve 10 and 12 as I was too occupied with the other problems.
Please read Forum Guide and Rules before you post.
Use $L^AT_EX$, It makes our work a lot easier!
Nur Muhammad Shafiullah | Mahi
Use $L^AT_EX$, It makes our work a lot easier!
Nur Muhammad Shafiullah | Mahi
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nafistiham
- Posts:829
- Joined:Mon Oct 17, 2011 3:56 pm
- Location:24.758613,90.400161
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Re: solutions to camp exam problem
beautiful solutions mahi.dhananjay da has used mathematical theorems that made the solutions short.but seeing your solutions i can say that most of the problems are not that much hard,but just needed much more thinking of little and simple applications which i didn't do.thanks. 
\[\sum_{k=0}^{n-1}e^{\frac{2 \pi i k}{n}}=0\]
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.
Re: solutions to camp exam problem
DJ ভাইয়া এগুলাতে একটু সমস্যা আছে।Corei13 wrote:@Joty: I had only two to three hours to solve and latex all of them as I didn't know the date of exam. So, please inform if anything is not clear enough.
হার জিত চিরদিন থাকবেই
তবুও এগিয়ে যেতে হবে.........
বাধা-বিঘ্ন না পেরিয়ে
বড় হয়েছে কে কবে.........
তবুও এগিয়ে যেতে হবে.........
বাধা-বিঘ্ন না পেরিয়ে
বড় হয়েছে কে কবে.........
Re: solutions to camp exam problem
@Joty:
P2: আমরা জানি $|a| + |b| \geq |a+b|$ এবং আরো জানি, $f'(x) \geq 0$ হলে $f$ increasing হবে।
P9: এটা আমি পুরা লিখতে ভুলে গেসি। খেয়াল কর, $f(x) = \frac{1}{\sqrt(1+e^{2x})}$ কনভেক্স। তারপর Jensen মার।
P10: জানি না :-/ তবে এটা মোটামুটি এখন Intuition হয়ে গেছে, অনেক বেশি Function equation করার ফল।
P12: ফাংশনটা কনকেইভ, জেনসেন মারলেই হয়।
P2: আমরা জানি $|a| + |b| \geq |a+b|$ এবং আরো জানি, $f'(x) \geq 0$ হলে $f$ increasing হবে।
P9: এটা আমি পুরা লিখতে ভুলে গেসি। খেয়াল কর, $f(x) = \frac{1}{\sqrt(1+e^{2x})}$ কনভেক্স। তারপর Jensen মার।
P10: জানি না :-/ তবে এটা মোটামুটি এখন Intuition হয়ে গেছে, অনেক বেশি Function equation করার ফল।
P12: ফাংশনটা কনকেইভ, জেনসেন মারলেই হয়।
ধনঞ্জয় বিশ্বাস
Re: solutions to camp exam problem
জিনিসটা জনমুখী হইল না। ফোরামের অনেক জনগণ এখনো চোরাই উইন্ডোজ ব্যবহার করে।Corei13 wrote:Texmacs :
sudo apt-get install texmacs
texmacs for windows.
(Texmacs didn't work out on my Windows 7 OS, so I used this: )
Miktex, though this is quite large in size (approx. 165 MB)
Please read Forum Guide and Rules before you post.
Use $L^AT_EX$, It makes our work a lot easier!
Nur Muhammad Shafiullah | Mahi
Use $L^AT_EX$, It makes our work a lot easier!
Nur Muhammad Shafiullah | Mahi