[phpBB Debug] PHP Warning: in file [ROOT]/includes/bbcode.php on line 122: include(/home/shoeb/public_html/www.matholympiad.org.bd/forum/includes/phpbb-latex.php) [function.include]: failed to open stream: No such file or directory
[phpBB Debug] PHP Warning: in file [ROOT]/includes/bbcode.php on line 122: include() [function.include]: Failed opening '/home/shoeb/public_html/www.matholympiad.org.bd/forum/includes/phpbb-latex.php' for inclusion (include_path='.:/opt/php53/lib/php')
[phpBB Debug] PHP Warning: in file [ROOT]/includes/bbcode.php on line 122: include(/home/shoeb/public_html/www.matholympiad.org.bd/forum/includes/phpbb-latex.php) [function.include]: failed to open stream: No such file or directory
[phpBB Debug] PHP Warning: in file [ROOT]/includes/bbcode.php on line 122: include() [function.include]: Failed opening '/home/shoeb/public_html/www.matholympiad.org.bd/forum/includes/phpbb-latex.php' for inclusion (include_path='.:/opt/php53/lib/php')
[phpBB Debug] PHP Warning: in file [ROOT]/includes/bbcode.php on line 122: include(/home/shoeb/public_html/www.matholympiad.org.bd/forum/includes/phpbb-latex.php) [function.include]: failed to open stream: No such file or directory
[phpBB Debug] PHP Warning: in file [ROOT]/includes/bbcode.php on line 122: include() [function.include]: Failed opening '/home/shoeb/public_html/www.matholympiad.org.bd/forum/includes/phpbb-latex.php' for inclusion (include_path='.:/opt/php53/lib/php')
[phpBB Debug] PHP Warning: in file [ROOT]/includes/bbcode.php on line 122: include(/home/shoeb/public_html/www.matholympiad.org.bd/forum/includes/phpbb-latex.php) [function.include]: failed to open stream: No such file or directory
[phpBB Debug] PHP Warning: in file [ROOT]/includes/bbcode.php on line 122: include() [function.include]: Failed opening '/home/shoeb/public_html/www.matholympiad.org.bd/forum/includes/phpbb-latex.php' for inclusion (include_path='.:/opt/php53/lib/php')
[phpBB Debug] PHP Warning: in file [ROOT]/includes/bbcode.php on line 122: include(/home/shoeb/public_html/www.matholympiad.org.bd/forum/includes/phpbb-latex.php) [function.include]: failed to open stream: No such file or directory
[phpBB Debug] PHP Warning: in file [ROOT]/includes/bbcode.php on line 122: include() [function.include]: Failed opening '/home/shoeb/public_html/www.matholympiad.org.bd/forum/includes/phpbb-latex.php' for inclusion (include_path='.:/opt/php53/lib/php')
[phpBB Debug] PHP Warning: in file [ROOT]/includes/bbcode.php on line 122: include(/home/shoeb/public_html/www.matholympiad.org.bd/forum/includes/phpbb-latex.php) [function.include]: failed to open stream: No such file or directory
[phpBB Debug] PHP Warning: in file [ROOT]/includes/bbcode.php on line 122: include() [function.include]: Failed opening '/home/shoeb/public_html/www.matholympiad.org.bd/forum/includes/phpbb-latex.php' for inclusion (include_path='.:/opt/php53/lib/php')
[phpBB Debug] PHP Warning: in file [ROOT]/includes/bbcode.php on line 122: include(/home/shoeb/public_html/www.matholympiad.org.bd/forum/includes/phpbb-latex.php) [function.include]: failed to open stream: No such file or directory
[phpBB Debug] PHP Warning: in file [ROOT]/includes/bbcode.php on line 122: include() [function.include]: Failed opening '/home/shoeb/public_html/www.matholympiad.org.bd/forum/includes/phpbb-latex.php' for inclusion (include_path='.:/opt/php53/lib/php')
[phpBB Debug] PHP Warning: in file [ROOT]/includes/functions.php on line 4786: Cannot modify header information - headers already sent by (output started at [ROOT]/includes/functions.php:3887)
[phpBB Debug] PHP Warning: in file [ROOT]/includes/functions.php on line 4788: Cannot modify header information - headers already sent by (output started at [ROOT]/includes/functions.php:3887)
[phpBB Debug] PHP Warning: in file [ROOT]/includes/functions.php on line 4789: Cannot modify header information - headers already sent by (output started at [ROOT]/includes/functions.php:3887)
[phpBB Debug] PHP Warning: in file [ROOT]/includes/functions.php on line 4790: Cannot modify header information - headers already sent by (output started at [ROOT]/includes/functions.php:3887)
BdMO Online Forum • Search

Search found 550 matches

Return to advanced search

Re: Sum Challenge

YES,$p_{d}$ means $p_{d_{i}}$.let $d$ be adivisor of n.Then take the value of the divisors of n for $d_{i}$ which are divisible by $d$.

Moderation Note: $L^AT_EX$ed correctly.
by SANZEED
Sun Jan 22, 2012 6:17 am
 
Forum: Number Theory
Topic: Sum Challenge
Replies: 6
Views: 828

Re: INEQUALITY-2(OWN!!)

Yes, i found it latter.Actually there's been a mistake while posting it!!!!!
by SANZEED
Sun Jan 22, 2012 5:57 am
 
Forum: National Math Olympiad (BdMO)
Topic: INEQUALITY-2(OWN!!)
Replies: 2
Views: 562

INEQUALITY

Let $a,b,c$ be positive numbers such that $a^{2}+b^{2}-ab=c^{2}$.prove that,
$(a-c)(b-c)=<0$.
by SANZEED
Sun Jan 22, 2012 5:55 am
 
Forum: Algebra
Topic: INEQUALITY
Replies: 2
Views: 506

Determinining the floor

find floor
Let $a_{0}=$ 1996 and $a_{n+1}=a_{n}/[a_{n}^{2}+1]$ for $n=1,2,3,...,$.prove that $[a_{n}]=1996-n$ for $n=1,2,3,...,999$.Here $[x]$ denotes the greatest positive integer less than or equal to $x$.
by SANZEED
Sun Jan 22, 2012 5:39 am
 
Forum: Number Theory
Topic: Determinining the floor
Replies: 5
Views: 650

GEOMETRY

SECONDARY GEOMETRY (OWN) Let a circle $[_{1}$ be drawn through the vertices $A,B$ of $triangle_ ABC$ touching $BC$ at $B$. Similarly drtaw the circle $[_{2}$ passing through $A,C$ touching $BC$ at $C$.Cord $AB$ produces an angle of $45^0$ at the center of $[_{1}$. Cord $AC$ produces an angle of $60...
by SANZEED
Wed Jan 18, 2012 11:54 pm
 
Forum: National Math Olympiad (BdMO)
Topic: GEOMETRY
Replies: 2
Views: 591

SUMMATION

GENERAL SUMMATION
LET $s(n) = \sum_{k=1}^{n}(p-1+k)Pk$ where p is a given positive integer and nis a natural number.then find a nice simple formula for $s(n)$ involving $n,p$.
by SANZEED
Wed Jan 18, 2012 11:37 pm
 
Forum: National Math Olympiad (BdMO)
Topic: SUMMATION
Replies: 2
Views: 596

INEQUALITY-2(OWN!!)

INEQUALITY-2(OWN!!)
Let $a,b,c$ be positive real numbers such that $\sum_{cyclic}a = 6$
prove that $2abc +\sum_{cyclic}ab(a+b)$<36.
by SANZEED
Wed Jan 18, 2012 11:22 pm
 
Forum: National Math Olympiad (BdMO)
Topic: INEQUALITY-2(OWN!!)
Replies: 2
Views: 562

Re: Inequality(open ended)[made by shanzeed anwar]

It's open ended because the equality is only my conjecture.
by SANZEED
Tue Jan 17, 2012 6:32 pm
 
Forum: Number Theory
Topic: Inequality(open ended)[made by shanzeed anwar]
Replies: 2
Views: 462

Sum Challenge

Sum Challenge 001


Let the divisors of n be A={d1,d2,d3,….,dn} where
d1=1 and dn =n. Let Pd =∑i σ(di), d Є A, d/di.
Remember that σ(x)=sum of the divisors of x.

Prove that, I
∑d/n μ(d)Pd=1.
by SANZEED
Fri Dec 30, 2011 9:29 am
 
Forum: Number Theory
Topic: Sum Challenge
Replies: 6
Views: 828

Re: Inequality !!! [self-made]

(n+1)^n (1) =n^n+C(n,1)xn^(n-1)+C(n,20)xn^(n-2)+.....+1 =n^n+nxn^(n-1)+.....+1 =n^n+n^n+C(n,2)xn^(n-2)+.....+1 (2) From (1) and (2),we can say, (n+1)^n>n^n+n^n [For n>1] or,(n+1)^n>2xn^n or,((n+1)^n)/(n^n)>2 or,((n+1)/n)^n>2 or,(n+1)/n>2^(1/n) or,1+(1/n)>2^(1/n) or,1/n>2^(1/n)-1 or, 1/( 2^(1/n)-1)>n...
by SANZEED
Wed Dec 28, 2011 10:14 pm
 
Forum: Junior Level
Topic: Inequality !!! [self-made]
Replies: 2
Views: 621
Previous

Return to advanced search