Maybe i should just stick to maths.

Woah.. after listening to a lot of nonsence after my previous post i guess maths is the most logical thing to talk about! Well today i shall talk about something abstract.
Now who here knows what a complex number.. or maybe an imginary number..
"wad is an imaginary number??" "how can a number be imaginary?" i bet those are the questions running in your mind.
well here is how my prof explained it to me.
accept that since square root of -1 cannot exist in the real world(real numbers). Then it must exist somewhere. now lets call the magical value i(only the positive part).
So now imagine a graph where the x axis is the real numbers and the y axis is the imaginary axis. ie the numbers in the imaginary axis go ...3i,2i,i,0,-i,-2i,-3i... and the x axis is the normal real axis ie ...-3,-2,-1,0,1,2,3...
now the to find the square root of ab we can find the root of a then root of b and multiply.
so now lets say we want to know the square root of -4 it is the same as the square root of 4=2 times the square root of -1=i
so we get the magical result sqrt of -4= 2i
now think about the coordinate (1,2) it represents a special number namely the number 1+2i or generalising i can say that (a,b) reprisents a+bi
ok so thats that.
now look at the a+bi note that taking the distance from the origin to the point will give us sqrt (a^2+b^2). thus let the angle formed between the line and the positive x axis be p rad.
thus we can write a+bi as sqrt(a^2+b^2)*(cos p +isin p) since cos p=a/sqrt(a^2+b^2), sin p=b/sqrt(a^2+b^2)
now here is the best part.
we have a short form for writing the expression sqrt(a^2+b^2)*(cos p +isin p) we simply write sqrt(a^2+b^2)*e^(ip).
for a proof of this look at the maclaurens series it converges beautifully

now for the most magical part of this whole lesson!!
look at the number e^(i*pi) now notice that if pi is the angle formed, then we are back on the real axis so we have the magical number e^(i*pi)=-1.
Wow!
I just combined three of the most beautiful numbers ever discovered to make it more magical, we can say that e^(i*pi)+1=0 now every part of that is magical. all the five numbers are special.
pls message or ask me if you need any clarifications.



The confused ONE
Name: Chaitanya
B`dae: 14/03/1990 (einstein shares my B-dae!!)
Sch00l: Anderson..
Class: De best class
CCA: SJAB and ganna be maths soc soon!!


Falling in LOVE with
The WORLD of anti-confusing(maths!!) things( If only it exists)


Hating
People who get confused by maths (It cant be confusing!)


I wish
-That everyone loves Mathematics!
-To eat non-stop without growing fat!!
-Time machine


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Excuses List

Here are some excuses for not doing maths homework. Thanks to a library book.(i dont really use them.. i jus dont do HW!!)
I did not do my Maths because...
1) It was cold at night that i burnt all my pencils for warmth.
2) My pet mistook the homework as veges and ate it.
3) My book was left in my locked drawer where as the key was flushed into the toliet bowl.
4) I accidentally drop it into the library book drop.


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I can't stand to fly
I'm not that naive
I'm just out to find
The better part of me

I'm more than a bird:I'm more than a plane
More than some pretty face beside a train
It's not easy to be me

Wish that I could cry
Fall upon my knees
Find a way to lie
About a home I'll never see

It may sound absurd:but don't be naive
Even Heroes have the right to bleed
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It's not easy to be me

Up, up and away:away from me
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I can't stand to fly
I'm not that naive
Men weren't meant to ride
With clouds between their knees

I'm only a man in a silly red sheet
Digging for kryptonite on this one way street
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It's not easy to be me.

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