হায় হায় আমার ৫০ নাম্বার পোস্টে ভুল ঠিক করতে হচ্চে।কারন উপরের পোস্ট টা এডিট করা যাবে না।
সবচেয়ে L.H.S টা হবে
$ \sqrt{\frac{x_{1}^{2}+x_{2}^{2}+\cdot \cdot \cdot +x_{n}^{2}}{n}}$
ওহ না, এডিট করে ফেলছি।কিন্তু এখন এই পোস্ট টা ডিলিট করা যাচ্ছে নাহ।
Search found 829 matches
- Sun Oct 30, 2011 6:31 pm
- Forum: National Math Camp
- Topic: inequality of means (bomc)
- Replies: 6
- Views: 4115
- Sun Oct 30, 2011 2:29 pm
- Forum: Site Support
- Topic: Re: How to use LaTeX
- Replies: 4
- Views: 5106
Re: How to use LaTeX
ভাইয়া,লাইনগুলাকে মাঝখানে আনা যায় কীভাবে? যেমন নিচের লাইনটা ঃ
LaTeX
english ,বাংলা বা latex এ লেখা সমীকরণ গুলাকে space দিয়ে মাঝখানে আনতে পারিনা।
LaTeX
english ,বাংলা বা latex এ লেখা সমীকরণ গুলাকে space দিয়ে মাঝখানে আনতে পারিনা।
- Sat Oct 29, 2011 11:44 pm
- Forum: National Math Camp
- Topic: Day-4 [Bangladesh Online Math Camp - 2011]
- Replies: 4
- Views: 3193
Re: Day-4 [Bangladesh Online Math Camp - 2011]
a good relation(inequality) of means to discuss.
http://www.matholympiad.org.bd/forum/vi ... 2a45#p5979
http://www.matholympiad.org.bd/forum/vi ... 2a45#p5979
- Sat Oct 29, 2011 11:37 pm
- Forum: National Math Camp
- Topic: inequality of means (bomc)
- Replies: 6
- Views: 4115
inequality of means (bomc)
QM$\geq$AM$\geq $GM$\geq $HM $\sqrt{\frac{x_{1}^{2}+x_{2}^{2}+\cdot \cdot \cdot +x_{n}^{2}}{n}} \geq \frac{x_{1}+x_{2}+\cdot \cdot \cdot +x_{n}}{n}\geq \sqrt[n]{x_{1}x_{2}\cdot \cdot \cdot x_{n}}\geq \frac{n}{\frac{1}{x_{1}}+\frac{1}{x_{2}}+\cdot \cdot \cdot \frac{1}{x_{n}}}$ I think it is a good a...
- Sat Oct 29, 2011 9:48 pm
- Forum: National Math Camp
- Topic: A problem book for inequality :(BOMC)
- Replies: 2
- Views: 2684
Re: A problem book for inequality :(BOMC)
You can try this book. 1691 Disequazioni Algebriche 2009-65_a_finale-Dispari.pdf 1691 Algebraic Inequalities- a good book to try out even if you have a short time.But not good enough for long term studies on inequality. the book is nothing but problem solving.by solving the book one has to go throu...
- Sat Oct 29, 2011 1:04 pm
- Forum: National Math Camp
- Topic: convex function (bomc)
- Replies: 4
- Views: 3314
Re: convex function (bomc)
oops,got it. actually i was confused about the function part.thanks a lot.
- Sat Oct 29, 2011 12:17 pm
- Forum: National Math Camp
- Topic: Day-5 [Bangladesh Online Math Camp - 2011]
- Replies: 2
- Views: 2602
Re: Day-5 [Bangladesh Online Math Camp - 2011]
for convex function (plz)
http://www.matholympiad.org.bd/forum/vi ... =14&t=1311
i couldn't even understand this convex function properly.plz someone simplify it a little if it can be.
http://www.matholympiad.org.bd/forum/vi ... =14&t=1311
i couldn't even understand this convex function properly.plz someone simplify it a little if it can be.
- Sat Oct 29, 2011 12:13 pm
- Forum: National Math Camp
- Topic: convex function (bomc)
- Replies: 4
- Views: 3314
convex function (bomc)
A function $f:\left [ a,b \right ]\rightarrow \mathbb{R} $ is called convex in the interval $I= \left [ a,b \right ]$, if for any $t\in \left [ 0,1 \right ] $ and for all $a\leq x< y\leq b$ the following inequality holds $f\left ( ty+\left ( 1-t \right ) x\right )\leq tf\left ( y \right )+ \left ( 1...
- Sat Oct 29, 2011 12:00 pm
- Forum: National Math Camp
- Topic: বাংলাদেশ অনলাইন ক্যাম্প - ২০১১
- Replies: 105
- Views: 59213
Re: বাংলাদেশ অনলাইন ক্যাম্প - ২০১১
tanvir vya, the decision of taking the exam on 2nd November is still,right?
- Sat Oct 29, 2011 11:57 am
- Forum: National Math Camp
- Topic: অসমতার যোগ, বিয়োগ, গুন, ভাগ (BOMC-2011)
- Replies: 23
- Views: 13367
Re: অসমতার যোগ, বিয়োগ, গুন, ভাগ (BOMC-2011)
first take the inverse of $c$ which is $\frac{1}{c}$. and then multiply it with $a$. you'll get $\frac{a}{c}$