Miss you Blog !

Hey Blogmates & Readers.

This is Twish. For those who're new to this blog, just check out my intro in the archive. Im the admin of this blog though I've been so much out of touch with it.

Looking at it today, I must say Rash has been talking alot of pains adding new things to the page! Its a great job ou've done man!

A welcome to so many of the new members! I can see a couple of friendz who went to IISc as well ! Isnt it a great idea to spread out blog link to them as well... ! At last we all deserve the KVamPY title! Watsay Arun...

Time, nice generator man. Though I think that picture you've posted is miserable similar to the one I sent you about my generator ! I think I deserved a mention for the help yaar ! hehehe newayz...

Sry pals, for not posting. Not blogging. Been busy. Though the new ones ...
DO CHECK OUT THE DEAD ENDS SERIES OF POSTS IN THE ARCHIVE ! IM SURE ULL FIND IT INTERESTING.

Take Care PPl !

MAY KVAMPYS RULE

~ || Twish || ~

hello

Hi guys. This is Ankit
I guess i am a little late in joining.

It's the IISc kid

Hey,
I saw somebody ask for my intro, so I'll start off with that. My name is Arun Tejasvi Chaganty (call me arun), and I'm studying in 12th (along with most guys here i think), in FIITJEE (curses, lighting and gasps). Very very luckily, this place isn't as coaching centre-ish as i feared it would be, and I still have time for my on stuff (more like i don't really care for their work (not after the summer camp atleast)). As you would have seen, I like nested brackets a lot, so I'm sorry if that causes inconvinience to any one. I joined KVPY this very year, and along with most of the people down south (I'm located in Hyderabad), we got to go to the IISC campus.

I think this part is what more people are interested in, so I'll elaborate quite a bit. All the SP, SB and south-zone SA students had their centre in IISc. Please pardon me to mention that IISc is THE most prestigious campus in India (I don't think anyone can object here), and basically I'd like to rub that in your face. The only way you'll be able to counter is if you post a review of the campus where you went (This is an elaborate ploy to get you to do the same).

Ok the fact that there were students of varying graduation levels was good in a sense, and bad too. In most of the labs we visited, the explanations were never very satisfying for both of us at the same time. On the other hand, these guys are really great guys to interact with (not all of them, but a lot of them). A large number were from the IIT's and BITS.

I'll kind of give an overview of what we did. We mainly attended a lot of great (and a few not so great) lectures by great professors. These lectures were mainly on common ground, topics that were entirely out of stream so that both the SA and the SB+SP guys could understand whats going on. I'll give a list later. Then we had a lot of lab visits. We saw a lot, but I can't say we did too much. It was interesting, and exciting at times, but it's rather inconvinient when you have like 20 people stuffed into a small room with a lot of expensive equipment (You won't believe how seemingly disorganised some of the breakthrough research labs are). That was pretty much it. We were allowed to roam around the campus at our free will, and visit the library (heaven on earth).

The campus was just beautiful. Perhaps it was the real heaven, and the library was just a teaser. Either way, there were a lot of trees, and a lot of crows, and a lot of white patches on the roads (I hope you can put 2 and 2 together). The wild life and greener there made it a great place for the ecologists there, who were doing some really interesting experiments with social bug behaviour. A group also actively worked in a nearby (or not so nearby I haven't a clue), national park monitoring elephant populations and battling poaching. There was a huge library, a lot of departments and a supercomputing research lab (obviously the low of our lab visits. They can't show you much more than a LOT of computer terminals), an NMR research centre, a nano-research lab, and a cryogenics facilities. THe other high end equipment was in the departments. A bunch of spectrometers, sputtering devices, atomic force microscopes, electron microscopes, blah blah blah (the average guy would be watering by about now, but I'm sure youa'll have see this stuff too).

We were also taken to the Raman Research Institute, which is another amazing place. The most remarkable thing there was the laser-cooling lab, where they slow down electrons to nanoK temperatures. I'd suggest you read this stuff up.
As I said I'll list most of the lectures (everything I can recall):

Evolution of Social Behaviour: Do we form social groups just to ensure our genetic make up goes on? This professor (Prof. Nanjudaih V) was just brilliant, and mentioned quite somethings about chaos theory also.

The Many Forms of Carbon: As you guessed, it was lame lecture. The plus point was that the lecturer presented a new form of carbon which was researched in the campus: Super Carbon: an conducting amorphous form of carbon. It was interesting in how it was made using logical assumptions (better than fullerene which was a fluke)

Protiens and how the Work: A great lecture, though highly technical about how protiens are made.

Chemisty in Life: About how molecules work in life (to a lesser degree). It wasn't a very enlightening lecture, but the lecturer:Prof. Uday Maitra, was just mindblowingly good, so I guess we all fell in love with him, rather than what he was teaching

***Black Holes: This was undoubtedly the BEST lecture I've EVER EVER had (which isn't many, but still) by a professor from the Raman Research Institute, Prof. Srinivasan G. It explained in a very good technical manner about black holes. Great lecture again

Variations from the DNA Helix: A good lecture, but perhaps not great

Colours In Chemistry: Interesting demonstrations showing different reactions producing flourescent colours, interesting colours blah blah.

Virtual Experiments: Again by Prof. Uday Maitra. He showed a number of experiments performed somewhere else recorded on "tape" (nobody uses tape anymore). He did a good walkthrough through all the experiements. Again most amazing professor I've seen.

There were four more lectures which I missed because of a 103 degree fever (weeping hesterically). I wish I could have attended them, but bad luck I guess. I'll just have to pray that somebody posts a good explaination of these lectures. (they were the last four lectures).

Now if you haven't gotten sick of me, and the length of my post, I'll continue, but as I know that's not the case. Beam me up scotty (Star Trek anyone?)

Arun

FROM JUNK TO VAN DE GRAFF GENERATOR

Ciao everybody,
This was my new project (more of a fun than a project)… I have made a van de graaf high voltage generator out of junk. Total expenses u wont believe it … Rs 25/- and a few costly hours of mine.
As u fellows know better that a van de graaf gen generates a very high voltage of the order of few millions. Just refer an NCERT class 12 book and u have a very nice topic on it. The major change that I have done is that I have used ‘theiboelectric’ effect instead of a high-tension battery.

We have certain materials that lose electrons readily and some that gain them easily. Here they are glass and rubber and plastic. I will not bore u with my worthless writings u see the pictures and comprehend likewise. I was helped by one of my local friend ... Avinandan rout. He is as talented as any of us only he could not make it to the KVPYians. I will also attach a schematic diagram to help in the comprehension.
The gen takes a lot of time to charge fully but ur hair does stand up. I specially thank Mr. Samuel Q. Field 4 his help. The idea was his but I modified it in several ways to make it better.

The van de graff gen was presented in the ‘The Uranium camp 2006’.
Just tell me if u want a detailed description and I will do so. Also if u want 2 know more about the Uranium camp (and the fun: I would love to write about it) just tell me.

Saurya "Time"
(Time is back)

DEAD ENDS : Part III : Justified lies

Here I am !
Bored of 2=1s aren't ya'll ? Here are some more of classic lies, told in the most decieving manner !


(1) *** classic *** ( Some PHYSICS for a change )
There in the figure, we have a ladder leaning against the brown wall. Its length is l & the two ends are labelled as A & B. End B is pulled in the positive direction of the x-axis with a constant speed V. The velocity of end A in the downward direction is U ( variable ). x,y are the respective coordinates of the two ends.

x² + y² = l²

differentiating w.r.t. time we get :

2.x.∂ x/ ∂t + 2.y. ∂ y/ ∂t = 0

2.x.∂ x/ ∂t + 2.y. ∂ y/ ∂t = 0
2.x.V = - 2.y.U(x)
U(x) = - x .V/ y

Now, when ladder falls completely, and becomes flat, then y = 0 & x = l.

To calculate the veocity of end A when ladder just becomes flat, we put the values in equation for U(x) getting :

U ( l ) = - l.V/0 = - ∞

So the velocity of end A becomes infinite when the ladder becomes flat ? !

(2)
We are all aware of the theorem of Mathematical Induction. However, none would have seen its misuse. Here is one such misuse which is horribly difficult to disproove !!!

Statement to be verified is :

S(n) : In any set of n people, all would have equal ages.

Now we proceed :

S(1) is true ( Since in a group(set) of 1 person, all have equal age. )

Let S(k) be true.

Now ;

In a group(set) of (k+1) people, we make all possible sets of k people. In all these possible set of n people, S(k) would be true (as per assumption) and hence all people in each of the sets would have equal members. Now since all such possible sets would have members of the same age, this is only possible if all the members in the (k+1) member be equally aged. Therefore All people in the set of (k+1) people have equal ages.

Hence S(1) is TRUE & S(k+1) is TRUE whenever S(k) is TRUE.

Hence prooved by mathematical induction , the TRUTH of statement S(n) for all n belonging to N.

Application of the above theorem for the set of BLOG MEMBERS "B" We conclude that All members of this blog are of equal age.
QED

(3) *** classic ***

ABCD is a square. BE = BC.
PQ bisects CD,AB.
OR is perp.bisect. of DE.
PQ, RO intersect at O.
∠ ABE is an OBTUSE ANGLE. ( clearly )

Δ ORD ≡ Δ ORE (SAS)
:. OD = OE

Δ OQA ≡ Δ OQB (SAS)
:. OA = OB & ∠ OAB = ∠ OBA

Δ OAD ≡ Δ OBE (SSS)
:. ∠ OAD = ∠ OBE
∠ ABE = ∠ OBE - ∠ OBA
= ∠ OAD -∠ OAB

But ∠ OAB - ∠ OAB
= 90 °

:. ∠ ABE = 90 °
However, we've assumed the angle to be obtuse. :. Every obtuse angle is a right angle. Similarly, It can be shown that every acute angle is a right angle.
QED

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This is part III and I'll let ya'll know that 3's my lucky number. So hereby, I quit with this series. Not that the resources are over ! Infact they're endless. But today eve, I'm leaving for Delhi & I won't be able to be online so regularly. Though I'll surely stay in touch atleast twice a week !

A last message. I believe that us KVamPYs are special in some way. I also believe, that we can be a great strength when united ! So here's a request. Mayb you can't come online very often but do stay in touch by atleast going through the blog once a week !!!
This blog is for us KVamPYs, by us KVamPYs & of us KVamPYs.

So letz ROCK ... letz RULE !!!

& Ill borrow Rash's line...
SwItCh On Ur BuLbS !!!

~ Twishmay Shankar ~
( Twish ;-) )

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I HaVe ThE POWER!!

Well, does the title remind you of the classic “He-Man” Cartoon series?? Well I’m not posting about cartoons but this has to do with “Power.” But that’ll come later.

First of all, I wanted to post my intro too but was waiting for Twish to mail me the pics from the camp. So that’s me saying: ”I have the Power!!”. You want a formal Intro? Here you go:

Name: Rasagy Sharma (a.k.a. ‘Rash’ The Gr81)

Residing in: Delhi

Interests: Dramatics (Done loads of TV and Radio Shows), PlayingSoccer (Some of you who played with me know that – It’s a second religion for me!), of course anything to do with Computers (I just luv Computers!) and last but not the least, making Friends (and continuing the friendship too!)

Enough about me. So after reading Bravura’s post, I was sitting in front of my computer wondering about what went wrong there. Got some ideas, but couldn’t join them all up. And then a short chat with Twish only raised my ideas to higher powers… Yes. It was powers about which I have been thinking all night. Well, most of such weird looking problems arise from the fact that what we have been taught about powers, multiplication etc. is too basic (coz we were too young to understand complex nos. at that time). And even now, we haven’t updated our information about such elementary things, though we do know complex nos. etc. And thus arise such ques.

Well here are some examples:

1. 1⁰ = 2⁰

Then won’t 1 = 2 ?? (Say we have 2^x=2², then we say that x = 2, don’t we??!!)

2. To prove: 3 = 4
Proof:
Let a+b = c
4a-3a + 4b-3b = 4c-3c
:.4a+4b-4c=3a+3b-3c
:. 4*(a+b-c)=3*(a+b-c)
:. 3 = 4

Maybe most of you can find what’s wrong up there (I think you all Should find that out easily!). But ever wondered why even your computer’s scientific calculator can’t compute (-8)^1/3 ? Even though the answer is an obvious -2 ? (It says invalid input for the function: Got some clue??). Though its fine that it can't compute (-8)^1/2.

Another nice problem (which Twish told me during the camp) is the following:

We know that

4*4 = 4 + 4 + 4 + 4

:. 4*4= 4 + 4 +… 4 times.

:. x*x = x + x + … x times.

Differentiating,

2*x = 1 + 1 + 1 … x times.

:. 2*x = x

Hence 2 = 1!!!

All such problems arise because we forget our assumptions – the definitions of the functions – the domains of the functions and we tend to generalize a formula we learnt in junior classes here.

Now what I was thinking was this:

x = 1^1/3

Then x³ = 1. And we get the solutions for x. So as this n increases, the no. of solutions for x also increase (which is n itself).

But if n-> infinity , we get only one value for x = 1. (Actually here we can’t replace n by infinity as n-> infinity but n is not equal to infinity.)

Also,

2 ⁰ = 1
1 ⁰ = 1
0 ⁰ = ?

Well infact 0 ⁰ an indeterminate form. So we can treat it as an exception.

But what if n is a complex no.?? According to Twish, it’ll lead to infinite solutions for x. I reckon that’s what messes everything in Bravura’s problem. So can some body explain to me what’ll happen with complex powers? (Do we have any physical interpretation other than just saying Z = 2 ⁱ finding Z??)

Sorry for writing such a Llllllooooonnnngggg post, but I think it'll compensate for my absence in the coming few days when I'll go out of station. So I hope to find many posts by then (posts by members other than Twish's Dead Ends - come on others plz post!)

And before ending, a bit of cheerleading… (yeah I’m at least good at that!) U ppl are doing a gr8 job posting stuff, but do visit the blog regularly (Too busy studying huh?) And do give more ideas as to what more to add in the blog..

So SwItCh On YoUr FuSeD BuLbS!!

~RashTheGr81~

DEAD ENDS : Part II : Burning Reality

Hi Again
As promised, here is PART II ...
Bewarethough !!! I'd certainly say this one is more wierd, more interesting but still a LIE which has been imposed wrongly upon reality :

(1)
Every1 here knows the pretty little Binomial thorem going as :

(a+b)ⁿ = aⁿ + n*b*a^n-1 + ... + n*b^n-1*a + bⁿ

Observing we find that leaving the first and last term, all other terms are a multiple of n.

For some wierd results, let us put n = 0 ;

LHS = (a+b)⁰ = 1

RHS = a⁰ + 0 ... + 0 + b⁰

= 1 + 0 ... 0 + 1

= 2

:. since LHS = RHS

2 = 1

QED

(2)

Consider the integral :

I = ∫ 1/x ∂x

Intigrating by parts ;

I = ∫ 1*1/x ∂x

= x*(1/x) - ∫ x*(-1/x²) ∂x

= 1 + ∫ 1/x ∂x

= 1 + I

:. 0 = 1

or, 2 = 1

QED

(3) *** CLASSIC ***

Have a look at the figure. O is the origin. C is the centre of the circle. P a variable point (x,y).

t = OP ; R = CP ; a = OC

The equation of the circle would be:

x² + y² -2*a*x + a² - R²

Now, t² = x² + y²

Also putting P(x,y) in circles equation we get :

t² - 2*a*x + R² - a² = 0

:. t² = 2*a*x + R² - a²

2*∂t/ ∂ x = 2*a

Now for the point with minimum distance , The above expression equals 0.

For that to be possible, a = 0, that is O and C are the same points !

Hence Whenever O is not the center of the circle, there is no point on the circle from which the distant of O is maximum or minimum.

QED

There is still more to come. Before thinking about the faults, appreciate the beauty of these propositions, how decievingly they proove the unproovable !

This in not the end.

~ Twish ~

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NOTE : Those having difficulty typing math visit this link for keyboard codes :

http://www.planetburrito.com/tb/alt_codes.html

This is Somani

Hi ,
This is Somani,
Call me by any other nickname you please(just inform me about it )
For identification 'The girl whose hair stood up due to shock' should be enough.

I AM

Hi Every1
I'm Sunita Panda from IIT Kharagpur campus
u might remember me as
-the girl who used to ask stupid questions during lectures.
-the self appointed guide at the science city (till my job was outsourced to 2 strangers)
I think that should be enough