DEAD ENDS : Part I : Spark to a Fire

Hey Blogmates !

The last post reminds me of something I've been doing for years! Something, which I was avoiding to put up here. But now I've lost all patience so here I begin with a series of posts, which to me atleast are damn interesting !!! I hope you all enjoy it...

(1)

- 20 = - 20

or, 25 - 45 = 16 - 36

or, 5² - 5*9 = 4² - 4*9

or, 5² - 5*9 + 81/4 = 4² - 4*9 + 89/4

or, (5 - 9/2)² = (4 - 9/2)²

or, (5 - 9/2) = (4 - 9/2)

or, 5 = 4

or, 2 = 1

QED

(2)

The very interesting infinitie series :

0 = 0 + 0 + 0 + 0 ...

For those who don't find it so interesting, follow me.

0 = ( 1 - 1 )
:. 0 = ( 1-1 ) + ( 1-1 ) + ( 1-1 ) ...

Now all of you would have paid attention in primary school when we were taught the associative law of addition.
Interestingly applying that here,

0 = ( 1-1 ) + ( 1-1 ) ...
or, 0 = 1 + (-1+1) + (-1+1) ...
or, o = 1 + 0 + 0 + 0 + 0 + ...
or, 0 = 1
or, 1 = 2

QED

(3)
- 1 = - 1
or, sqrt(-1) = sqrt(-1)
or, sqrt(-1/1) = sqrt(1/-1)
or, sqrt(-1)/sqrt(1) = sqrt(1)/sqrt(-1)
or, i/1 = 1/i
or, i2 = 1
or, -1 = 1
or, 2 = 0
or, 1 = 0
or, 2 =1
QED

___________________________________________________________
This is not the end. Its only a beginning ! Stay tuned for more of 1=2 syndromes ;-)
And you thought 1 + 1 = 2 huh ?

~ TwIsTeR ~

Playin wid INtergals

Hey Pravar !

Your post indeed looks puzzling at first sight though its nomore a fallacy than saying both ±2 square to 4! Let me elaborate!

The integrity(literal, not mathematical) of the solutions can be checked by diffrentiating both to get the same result sinX.cosX so where lies the fault ?
Take the two solutions to integral (without the constants mind you... )

I₁= (-1/4) * (cos2X)
I₂ = (1/2) * (sin²X)

There you go pal with a little of simple maths ...

I₁

= (-1/4)*cos2X

= (-1/4)*[1 – 2sin2X] =

= (-1/4) + (1/2)*(sin²X)

= constant + I₂

So there ...
The two differ by just a constant!
No wonder they are integrals of the same expression!
It would be better (& correct) practice to insert the constants & then show the result but the catch remains the same...

BOTH THE RESULTS DIFFER BY A CONSTANT WHICH HAS NO EFFECT TO THE INTEGRATION !!!

~ TWISH ~

The Lion MUST be caught ?!?

Car pulls ( engine pulls rather ) with force F.
Car moves with constant velocity V.
:. Net force on car = 0
Force by dissipiative forces such as friction = -F.

Now ; P = δW/δt = δ(F.s)/δt = F.δs/δt
Now since velocity is always relative, δs/δt = u is always relative!

However, since there are two powers acting, one by friction & one by engine, & net F = 0 , the net power on car is 0. This is from ground frame.

If a cycle follows at velocity U, in frame of cycle, the cars velocity = V-U. It is wrong to say that cyclist would say the power delivered by engine is F.(V-U) because the cyclist finds the car not accelerating & hence he caculates the work done by engine to be 0. The cyclist has no direct means to find from his frame what the work done by the engine alone is. ( Cyclist can't measure F, the internal force )

Besides, whenever engine applies a POWER, it makes the car accelerate. And acceleration is independant of relative refrence frames.Both someone on the car and on the cycle would measure the same Acceleration & hence find out the engine's power ( in absence of dissipiative forces ).

To get my point, try to sit on a cycle & follow a car (running at constant velocity) & think of an experiment to determine the power of its engine! You can do so by guessing at its friction, but not directly! This is the key to the problem. Work done is relative.

Therez another realated interesting thought. WHEN WE CLIMB STAIRS UPSTAIRS OR DOWNSTAIRS, THE NET CHANGE IN POTENTIAL E IS THE SAME. THEN WHY DO WE GET TIRED WHILE CLIMBING UPSTAIRS TO A GRATER DEGREE ???

Watz ur Wattage ?

Herez a puzzle:

I hope every1 has seen those water sprinklers spraying water in a garden. Nice little things they are, for they rotate by themselves throwing water around! Its obvious that laws of momentum conservation are the secret behind the working of this interesting gadget. But here comes the catch. Imagine that water is not made to gush out of the sprinkler. Instead, it is dipped in a tank and by some means, water is made to flow inside it. There can be 2 such possibilities :

• The pressure outside is increased
• The pressure inside the pipe is decreased.

The question now is ... is water flows as shown in the figure, which way would the sprinkler rotate ? ( Aniclockwise or clockwise ? )

Plz don't post you answers here, email them to twishmay@gmail.com with a satisfactory explanation.

~ Twish ~

Thatz me !!!

Hey blogmates !

Herez my info:

• Name : Twishmay Shankar
• Nickname: Twish, Twister, Twist etc.
• Played soccer(my team against rash's team), asked lotz of questions during the debate, used to sing really bad along with Ankit! & maybe you'll remember my monster laughter !!!

Thatz enough about me, now about this blog, we are shortly going to have a shoutbox (a small window like thing where you can post messages) here. It would then be a request to all to post all their relevant messages to that box. The comments posted should be relevant to the post itself. However, till we don't get a shoutbox, you all can converse through the comments section of the very first post of this blog.

May us KVPYians RULE !!!

~ Twish ~

PS : Who introduced this KVPYians term ? It sounds a little funny! Any1 with any better ideas ???

identification photographs

Hi all KVPYians,
your beloved time travel has a sugestion ... a very intelegent one at that. Lets post atleast as a comment in this blog:

• one of our photographs
  
• nick names,
  
• full names,
  
• some other event by which others can remember us

That will solve the identification problem. By the way who is 'Bavura'(or some thing like that)?

I will start with my self.
Me Saurya "time travel".
Thats enough ... yep. it is.

Light your Bulbs!!

Hey Welcome to our Blog!
Incase u r not sure of what do to next, well this post is just for u!
This blog is a medium to stay in contact with all your KVPY pals - and know whats coking in their mind. Its also a place for u to discuss the wildest or the weirdest ideas that u have - new theories, logic - well anything and everything!
So all u need to do is leave your name and email id in the comments section (Bottom Left of the Post). Since I'm not that good at remembering names, plz remind me with some nick name or something (I'm sorry for that!)
So what u waiting for? Lets start BLOGGING!!!

--
Rasagy Sharma aka RaSh

Neighbourhood-friendly Blog !

Hey teammates !

On encouragement from friendz particularly from Rash, I've put up this blog Reality Quantized to create a forum where we can keep in touch with the latest developments in science fields.
People are most welcome to become a writer/member of the blog so that they can also write ova there. Just write me a email after creating a blogger.com account.

Take Care & Enjoy

~ Twish ~
twishmay@gmail.com

Here We Come !

Tantara !!!

This post announces the official online journal for all the KVPY fellows selected under SA stream 2005. Stay tuned for more brainy stuff ...

~ TS ~