Recent content by skrtic

so assuming i made the substitution right and that was what i was supposed to do, i still don't see how i proved that it equals zero. is that supposed to say if i plug in zero for x i get zero? and even if i treat \delta(\sqrt{x}) as \delta(\sqrt{x}-0)...

is this a valid assumption treat \delta(\sqrt{x}) as \delta(\sqrt{x}-0)

let x= \sqrt{z} then dx=(1/2)z^(-1/2)dz and we get [SIZE="4"] \int_{-\infty}^{\infty}dz z^{-1/2} f(z^{-1/2})\delta(z^{-1/2})

from what i get out of the text. it is what replaces an inner product that vanishes if x doesn't equal x'. I also know that it's integral is unity.

sorry about that. equal to 0

Homework Statement Starting with the definition of the Dirac delta function, show that \delta( \sqrt{x}) um... i have looked in my book and looked online for a problem like this and i really have no clue where to start. the only time i have used the dirac delta function is in an integral...

ok. that makes sense. and kinda looks familiar now that i see it and makes the problem a little better. thanks

SOLVEDHomework Statement evaluate the intergralHomework Equationssorry about how this is going to look don't know the language to display nicely and wouldn't take my copy and pasteall integrals are form -infinity to infinity (x^2+32*z^2)*cos(y)*e^(x-4*z) delta(x-1) delta (y-pi) delta(z-.25)...

Homework Statement Verify that q_bar=ln(q^-1*sin(p)) p_bar=q*cot(p) * represents muliplication sorry i don't know how to use the programming to make it look better 2. The attempt at a solution my problem is that i really have no clue what is going on. I have read...

thanks for the help. i think i have it now. i think i had it a while ago but didn't reason it to myself right. i tried to prove a little more than i had to.

this is my attempt i just thought about. call the matrix R abs(det(R x R*))=1 since R x R* is I and det(I) = 1 and then abs(det(R) x det(R*))=1 and i get to a^2d^2+b^2c^2=1 but i don't know if that does anything for me

well my problem gives the matrix of [[a,b][c,d]] and gives the det([[a,b][c,d]])=ad-bc then states the question i gave above. i read that the |det(unitary matrix)|=1, but isn't that what i am trying to solve for. and i am not sure if i have seen the definition of unitary matrices in the form...

well first off we need to know the direction of the locomotive that is traveling at 27.2 km/h before we can do too much. but basically you are looking for a=? . what must the deceleration of the train be to stop before it hits the locomotive?

[FONT="Arial Black"][SIZE="7"]SOLVED 1. show that the determinant of a unitary matrix is a complex number of unit modulus 2. i know the equation for a determinant, but i guess to i am not sure what a complex number of unit modulus is either. I'm looking for...