Right, I get it now. The reason this only works for special cases like [0,∞) is that the area beneath the curve in Cartesian coordinates happens to be equal to the area enclosed by the curve in polar coordinates. However, for an arbitrary interval [a,b], this isn't necessarily the case.
Thanks...
I guess it might not be, but even if it's not, I'd still be interested to know why my technique isn't valid.
Word 2007. I rather like the equation editor it has :redface:
That's one of the things I was considering, but by my understanding of the technique, you choose the dummy variable y to be the actual function that you're integrating, as this means that the polar coordinate system you transform to will correspond directly to Cartesian system that the function...
Whoops, I meant to put β = -6.4e-6 in my first post. That's what I used in the calculation, though, and it still gives me an imaginary number. Basically the minus sign that's normally in front of the x² in a Gaussian distribution is contained in β (to make the algebra simpler).
I'm trying to integrate the Gaussian distribution between arbitrary limits, but I'm not having a lot of luck. As far as I can see I've done it right, but the answer I get is imaginary, which is obviously wrong, since it's supposed to represent a probability :confused:
Homework Statement
a =...
Yes it does. Bounds checking means that array access attempts are checked at runtime to make sure an access to a memory location outside the array's bounds doesn't occur. If such an access is attempted, a runtime error will occur (specifically, an [FONT="Courier New"]IndexOutOfRangeException...
Well the question asked what the fractional change in the systems total energy is upon the particle's collision; it was just a type in my post. The question, everything I've learnt, my solution to the problem, and my lecturer all say that this is possible :confused:
Whoops, I actually meant total energies rather than kinetic energies, sorry :smile:
I'll see my lecturer tomorrow and see what he says. Thanks for the help!
You're assigning to [FONT="Courier New"]pArray and then assigning to it again without using the value you first assigned to it. Furthermore, you're using [FONT="Courier New"]n before it's been initialised, which you should never do.
There are two ways of doing this. You could either assign them...
I was just wondering why what I've done in a spec rel question is wrong.
Homework Statement
A particle of mass m is traveling at 0.8c with respect to the lab frame towards an identical particle that is stationary with respect to the lab frame. If the particles undergo an inelastic collision...
Not actually homework, but just a general query...
I'm trying to write a program that will predict the trajectory of a moving point by analysing several positions through which the point has passed.
Part of this involves finding the coordiantes of a point B, given the coordinates of another...