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KnOwN_StRaNgEr
show

How eΠi =(is equal to) -1
tihami
bhai is ko zara bata tu do k likha kia hay... symbols say hat k...
MJB
QUOTE(tihami @ Jun 6 2008, 03:47 PM) *
bhai is ko zara bata tu do k likha kia hay... symbols say hat k...

jahan tak mera andaza hey

e= exponential
pi = 3.14
i = iota (under root of -1, its a complex number)

i have no idea,,, how to prove it

however i can show it icon_peace.gif

look

eΠi = -1

number1.gif

agar aap sab ko nazar aa raha hey,,,, tu iska matlab hey ke main ne yeah show kerwa diya eusa_dance.gif
KnOwN_StRaNgEr
QUOTE(tihami @ Jun 6 2008, 08:47 PM) *
bhai is ko zara bata tu do k likha kia hay... symbols say hat k...

E9.gif
tahir bhai actully i means to say

dat show

how

eΠi =(is equal to) -1 adb.gif
KnOwN_StRaNgEr
QUOTE(MJB @ Jun 6 2008, 09:20 PM) *
jahan tak mera andaza hey

e= exponential
pi = 3.14
i = iota (under root of -1, its a complex number)

i have no idea,,, how to prove it

however i can show it icon_peace.gif

look

eΠi = -1

number1.gif

agar aap sab ko nazar aa raha hey,,,, tu iska matlab hey ke main ne yeah show kerwa diya eusa_dance.gif

alrite....

well its a power series equation and i want its complete mathematical calculation u can may b use Cos/sign teta to get the rite calculation of this riddle eusa_dance.gif
Cupid Princess
QUOTE(KnOwN_StRaNgEr @ Jun 7 2008, 07:50 AM) *
alrite....

well its a power series equation and i want its complete mathematical calculation u can may b use Cos/sign teta to get the rite calculation of this riddle eusa_dance.gif

can we solve it by physical calculations?
KnOwN_StRaNgEr
QUOTE(SweetRabia @ Jun 9 2008, 02:22 PM) *
can we solve it by physical calculations?

match equation shud b solve by mathematichal calculation krakrani.gif n e how if u think u can solve this using phycial equ. den go ahead adb.gif
tihami
bhai yah bohat ziada mathematical hay,,, hmaain tu maths parhay hoaay bhi 13 years hu gaay haain , ab kahan say complete karain isay...
KnOwN_StRaNgEr
QUOTE(tihami @ Jun 10 2008, 05:52 PM) *
bhai yah bohat ziada mathematical hay,,, hmaain tu maths parhay hoaay bhi 13 years hu gaay haain , ab kahan say complete karain isay...

E9.gif

chlain dekhtey hain kisi aur ne detail se solve na kia to main khud bata don ga iss ki calculation cheerleader.gif
MJB
yaar waisey yeah koi riddle tu na hua,,,, kal ku tum ne kahna hey schrodinger equation prove kerain,,,,, yeah koi uar iss tarah ki cheez

anyway,,,, according to Euler'formula

exi = cos x + isin x (where trignometric function are described in radians)

in this case

x = Π,, therefore

eΠi = cosΠ + isinΠ

as cosΠ= -1 and sinΠ = 0 for trignometric functions in radians,,,, hence

eΠi = -1 + i*0 = -1






















All credits goes to googlee mooglee of Π,,, which lead me tu eulers identity
KnOwN_StRaNgEr
QUOTE(MJB @ Jun 10 2008, 09:07 PM) *
yaar waisey yeah koi riddle tu na hua,,,, kal ku tum ne kahna hey schrodinger equation prove kerain,,,,, yeah koi uar iss tarah ki cheez

anyway,,,, according to Euler'formula

exi = cos x + isin x (where trignometric function are described in radians)

in this case

x = Π,, therefore

eΠi = cosΠ + isinΠ

as cosΠ= -1 and sinΠ = 0 for trignometric functions in radians,,,, hence

eΠi = -1 + i*0 = -1
All credits goes to googlee mooglee of Π,,, which lead me tu eulers identity

iss riddle ki mathematical calculation yeh rahi adb.gif

This is a power series equation.
e^(i*Π) = 1 + (i*Π)/1! + (i*Π)^2/2! + (1*Π)^3/3! + (i*Π)^4/4! + ...
= 1 + i(Π/1!) - Π^2/2! - i(Π^3/3!) + Π^4/4! + Π^5/5! - ...
= 1 - Π^2/2! + pi^4/4! - ... + i[Π/1! - Π^3/3! + Π^5/5! - ...]
= cos[Π] + i*sin[Π]
cos(Π) = 1
sin(Π) = 0 e^(Πi) = -1

by d way Euler'formula ka method b durast hai icon_peace.gif
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