Recent content by Bishamonten

Homework Statement Show that for every α ∈ ℂ with α ≠ 0, there exists a unique β ∈ ℂ such that αβ = 1 Homework Equations Definition[/B]: ## \mathbb {F^n} ## ## \mathbb {F^n} ## is the set of all lists of length n of elements of ## \mathbb {F} ## : ## \mathbb {F} ## = {## (x_1,...,x_n) : x_j...

Sorry, post made by mistake

Once again, thank you for all your concise help Orodruin, I've no doubt I'll be needing it again soon enough :smile:

Thank you very much for the help. We touched up on the dirac delta function during the last part of our differential equations class, but looks like I need to review how it works a bit. I remember that this was the definition of how it works, but the intuition for why it works that way didn't...

\ Oooh, ok I don't know why I didn't put it in its expanded form earlier. Maybe it was my lack of confidence talking :DD Thank yo so much for responding! So when I expand the term out, the 1st term in the series matches ## -\int [f(y)]^pφ(y)dy ##, except it's positive, thus cancelling. Every...

Homework Statement "The functional ## J[f] = \int [f(y)]^pφ(y)\, dy ## has a functional derivative with respect to ## f(x) ## given by: $$ \frac {δJ[f]} {δf(x)} = \lim_{ε \rightarrow 0} \frac 1 ε \left[ \int[f(y) + εδ(y-x)]^pφ(y)\, dy - \int [f(y)]^pφ(y)\, dy\right] $$ $$ =...

Homework Statement Homework Equations Impedances: Inductor = jωL; Capacitor = 1/jωC The Attempt at a Solution I attempted to excite the circuit with an Io = 1A source, and then from Zc = 1/jX2 justify Vx = (1)(Zc) Thus, substituting our found Vx and then doing a source transformation, we...

Ah, that's what he was saying, and ultimately that's what Feynman was trying to say to my dumb head too! Now it makes sense to me now that I'm not overlooking this fact. Thank you very much you guys.

What do you mean by (0, 1)? In any case, what I meant is that by taking the square root of the term 1 - (u^2/c^2), it will be less than the same denominator in eq. 15.4 in the link that isn't being evaluated the square root of. So therefore, a smaller denominator, and because of a smaller...

http://www.feynmanlectures.caltech.edu/I_15.html#Ch15-S3 I'm reading through Feynman's chapter on special relativity in the first volume of his books in order to have a more comprehensive idea of it as I go through the special relativity homework given to us as extra credit for our...

Well that's really convenient of parameters. Thank you for clarifying that point to me!

So I can set any of them to be 0? In this case, when I set z = 0, I get a system in which when solved yields x = 3, y = 1. Substituting these two back into one of the plane equations just tells me that z = 0. These three values do not match the parametric equation found in the back of the...

Homework Statement Given two planes, P1, P2. Find parametric equations for the line of intersection between the two planes. Homework Equations P1 = 2x -3y + 4z = 3 P2 = x + 4y - 2z = 7 The Attempt at a Solution Let N1 be the normal vector to P1, and N2 be the normal vector to P2. Then, N1...

Absolutely! Thanks for the reminder.

I apologize berkeman, but I cannot discuss those kind of details about the project, other than the fact that we live in the United States, which is fine, since my question pertains only to why in general one would choose a pyramidal or conical horn antenna(one over the other).