what??? ????????????????????Originally Posted by Knight_ki_gf
n(n-1)= 48 so n is 48???? ....what maths is this?
what??? ????????????????????Originally Posted by Knight_ki_gf
n(n-1)= 48 so n is 48???? ....what maths is this?
"Mister Fripp, your music is quite different than everything else out there. In one word, how would you describe it?"
"Progressive.... yeah, that's it..."
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say x = 7
i.e. (x-7) = 0
but if gng about the proof we dont know if x is +ve..
so if x was -ve then x-7 would come to -14
in this case x+7 will be 0
so always the equation (x-7 )(x+7) will lead to 0
now i m pretty sure my approach is okayyy...
Adab aarz hain....
Vikram
The proof starts from the Peano Postulates (now dont ask me what it is!!!), which define the natural numbers N.Originally Posted by shsnawada
N is the smallest set satisfying these postulates:
P1. 1 is in N.
P2. If x is in N, then its "successor" x' is in N.
P3. There is no x such that x' = 1. ( as dat would make x = 0... hence not a natural number )
P4. If x isn't 1, then there is a y in N such that y' = x.
P5. If S is a subset of N, 1 is in S, and the implication
(x in S => x' in S) holds, then S = N.
Then we define addition recursively:
Let a and b be in N.
If b = 1, then define a + b = a' (using P1 and P2).
If b isn't 1, then let c' = b, with c in N (using P4),
and define a + b = (a + c)'.
Then we define 2:
2 = 1' ( that is succesor of 1... same as x')
2 is in N by P1, P2, and the definition of 2.
Theorem:
1 + 1 = 2
Proof:
Use the first part of the definition of + with a = b = 1.
Then 1 + 1 = 1' = 2 Q.E.D.
happy????
Yaar.. i m on study leave...dont make me use my brain cells so much....
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I dream of a better tomorrow... where chickens can cross roads and not have their motives questioned.
I dream of a better tomorrow when i wilfully run over a few innocent chickens crossing the road and not have my motives ( or sanity ) questioned!
~~~*~~~
Dodo!!Originally Posted by dennis
n=48 didnt hold good ... but (n-1)= 48 holds good...
hence the equation n^2-n-41 is divisible by 7 if n = 47
---------- http://varshita.net ---------------
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I dream of a better tomorrow... where chickens can cross roads and not have their motives questioned.
I dream of a better tomorrow when i wilfully run over a few innocent chickens crossing the road and not have my motives ( or sanity ) questioned!
~~~*~~~
Originally Posted by can_i_play
i m not too sure
let me get back on this one....
---------- http://varshita.net ---------------
~~~*~~~
I dream of a better tomorrow... where chickens can cross roads and not have their motives questioned.
I dream of a better tomorrow when i wilfully run over a few innocent chickens crossing the road and not have my motives ( or sanity ) questioned!
~~~*~~~
Originally Posted by Knight_ki_gf
thats what he is trying u tell ..
u cannot assume
n-1 = 48
or n = 48
this is where u r gng wrong...
coz there can be various other factors to 48
48 = 1* 48
= 6*8
= 24*2
etc te c...
Adab aarz hain....
Vikram
naah...she is right, its actually a little diffferent.
its not 7 in the rhs but 7k.
so u get
n(n-1) = 41+7k
and u can put n=47 for a value of k=303
wow...knight_ki_gf, u have wowed me
"Mister Fripp, your music is quite different than everything else out there. In one word, how would you describe it?"
"Progressive.... yeah, that's it..."
http://www.soundclick.com/givsonblues
Selling:
Zoom 606 - Rs 3999 (Price Drop!!!)
Stranger NS 30- Rs 1999 (Price Drop!!!)
PM me if u are interested
Thank you....
me feeling drowsy now... done so much maths after..... like 3-4 years !!
---------- http://varshita.net ---------------
~~~*~~~
I dream of a better tomorrow... where chickens can cross roads and not have their motives questioned.
I dream of a better tomorrow when i wilfully run over a few innocent chickens crossing the road and not have my motives ( or sanity ) questioned!
~~~*~~~
sorry dude cant agree with you...Originally Posted by dennis
where does this "7k" comes into picture
n(n-1) = 48
we cannot say n or n-1 = 48
it is one of the possible solutions..
ne
but
when we have abc = 0
either one has to be 0
so now can u get the difference ..
**din me taree ***h rahe hain**
no mre math for today...
Adab aarz hain....
Vikram
ok, sorry guys i took so long 2 respond...
just want 2 say thnks 2 every1 4 tryin 2 help me out, lol...
i like the way wen initially everyone sez mathematical induction is the rite way no 1 really explained it... (dont mean 2 sound rude... i no beggars cant b choosers)
to sahrukh i think it was, i am doin further pure 1, in june some time
to can_i_play: i cannot really follow ur proof, perhaps i am going about it the wrong way, or mayb i a bit on the slow side 2day,
@ alpha: the three theorums u asked 4 hav incredibly long solutions... and as is the case in most mathmatical proofs, few if any people other than the author bother 2 check the proof. if computers are used 2 check, it is often doubted. the only mathmatician who wud have checked is paul erdos, but he is dead... may his memory liv on
Murder For a Jar of Red Rum!
failure 2 prepare, is preparing 2 fail, :(
if you keep doing things the way they've always been done, then you'll keep getting the things you've always got
can_i_play...to be a factor of 7 the lhs needent be only 7, it can be 14,28,etc etc
so u put it as 7k and not 7
"Mister Fripp, your music is quite different than everything else out there. In one word, how would you describe it?"
"Progressive.... yeah, that's it..."
http://www.soundclick.com/givsonblues
Selling:
Zoom 606 - Rs 3999 (Price Drop!!!)
Stranger NS 30- Rs 1999 (Price Drop!!!)
PM me if u are interested
@singh .. FP1!! wow not many people go for Furthers .. .. edexcel? ..i did that last year .. P5 (FP2) is frigin hard .. just watch out for that .. .
.. and the chapter of proof isnt very well written .. i agree .. get the solution book from the library ..i did .. it helped a lot .. best of luck !
i doin the OCR board i think... jus had S1 n C1 the other day, started work on FP1 yesterday, its hard
Murder For a Jar of Red Rum!
failure 2 prepare, is preparing 2 fail, :(
if you keep doing things the way they've always been done, then you'll keep getting the things you've always got
@gf: I didnt understand somethings (only SOME though) but anyway. I bow my brain cells to you.
" Now therefore kill every male among the little ones, and kill every woman who has known man by lying with him.
But all the girls, who have not known man by lying with him, keep alive for yourselves. "- Book Of Numbers 31:17-18
http://www.gopalkrishna.com/
i think dennis has managed 2 get it in a simple uderstandable way... in post number 24 i think... thanks dennis... but i bet there is another way which is really long, lol
Murder For a Jar of Red Rum!
failure 2 prepare, is preparing 2 fail, :(
if you keep doing things the way they've always been done, then you'll keep getting the things you've always got
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