1.elegant universe-brian greene
2. lectures of feynmen -richard feynmen
3.Cosmos -forgot the writer
4. the quantum world-again forgot the writer
5. the theory of everything -S.hawking
these are not that sophisticated (only the 2nd book is ) . these are for casual reading ,
Search found 101 matches
- Tue Dec 28, 2010 12:56 pm
- Forum: Physics
- Topic: Suggest some Books!!
- Replies: 19
- Views: 10929
- Mon Dec 27, 2010 1:31 pm
- Forum: Secondary Level
- Topic: having problem in congruence
- Replies: 11
- Views: 8123
Re: having problem in congruence
i know it was for the 1st property . so $m$ has to be the lcm of $k_1$ and $k_2$HandaramTheGreat wrote:HandaramTheGreat wrote:if $m=k_1\cdot k_2$ and $gcd\left(k_1, k_2\right)=1$...
- Sun Dec 26, 2010 11:45 pm
- Forum: Divisional Math Olympiad
- Topic: DIGIT
- Replies: 24
- Views: 12745
Re: DIGIT
giving it short since everyone figured it out . So not explaning that much $\phi(125)= (5^3-5^2)=100$ so $2^{100}\equiv 1\bmod (125)$ $\Rightarrow 2^{209}\equiv 2^9\bmod (125)$ so $ 2^9=512$
- Sun Dec 26, 2010 6:11 pm
- Forum: Divisional Math Olympiad
- Topic: totient
- Replies: 4
- Views: 3132
Re: totient
maybe .............
why $\phi(5^3)=(5^3-5^2)$
why $\phi(5^3)=(5^3-5^2)$
- Sun Dec 26, 2010 4:16 pm
- Forum: Divisional Math Olympiad
- Topic: totient
- Replies: 4
- Views: 3132
totient
how to figure out $\phi(n) =?$ if $n$ is not a prime
- Sun Dec 26, 2010 4:03 pm
- Forum: Secondary Level
- Topic: having problem in congruence
- Replies: 11
- Views: 8123
Re: having problem in congruence
$ m $ doesnt have to be the lcm of $k_1$ and $k_2 $
- Sun Dec 26, 2010 4:00 pm
- Forum: Combinatorics
- Topic: PIRATES
- Replies: 4
- Views: 3626
Re: PIRATES
yes................
- Sun Dec 26, 2010 3:46 pm
- Forum: Secondary Level
- Topic: having problem in congruence
- Replies: 11
- Views: 8123
Re: having problem in congruence
is there any property of congruence close to this ?!
- Sun Dec 26, 2010 2:22 pm
- Forum: Divisional Math Olympiad
- Topic: DIGIT
- Replies: 24
- Views: 12745
Re: DIGIT
its correct . and labib always post the solution with the answer .
- Sun Dec 26, 2010 2:17 pm
- Forum: Secondary Level
- Topic: having problem in congruence
- Replies: 11
- Views: 8123
having problem in congruence
if $m= k_1\cdot k_2$
then $a\equiv b\bmod (k_1)$
$a\equiv b_1\bmod (k_2)$
the can i write that ..
$a\equiv b\cdot b_1\bmod (m)$
i am confused ??!
then $a\equiv b\bmod (k_1)$
$a\equiv b_1\bmod (k_2)$
the can i write that ..
$a\equiv b\cdot b_1\bmod (m)$
i am confused ??!