Recent content by 6.28318531

Sorry about the diagram its meant to be as though you were looking at the I. The u fitting runs the length of the beam, and it as at least as wide as the beam. I wouldn't think it was of negligible size. It isn't intended to apply load to the top of the I beam.

Homework Statement This isn't homework, but I thought I would post it here as maybe more people would see it, and as I am not an engineer, it requires someone with more experience. The section is effectively an I beam with a hollow u shaped fitting along the top (see my rough sketch). I just...

Ah now I see for the flux part; Look at each quadrant {x,y>0} {x,y<0} {x>0, y<0} and {x<0,y>0} When x, y> 0, The integral evaluates to a value. Let ∫CF.n ds = f Then for x,y<0 the integral becomes ∫F( -P, -Q) .n ds = - f Then for x> 0, y< 0 ∫F(P(x,-y), Q(x,-y)).n ds= a ≠f...

Homework Statement Let F(x,y) = ( P(x,y), Q(x,y)) be a vector field that is continuously differentiable along the closed smooth curve C : x2+y2 = 1. Moreover let -F(x,y) = F( -x, -y)≠ 0 and P(x,y) = -P(-x,y) and Q(x,y) = Q(-x,y). Determine all the possible values of the circulation...

What about something based on this; ' http://phys.org/news/2011-06-quantum-knowledge-cools-entropy.html

@JJacquellin Sorry I should have been a bit clearer, f(s,t) is unknown. We are given g(t) and g(s). So then f is actually f(a,b,s,t), as you said? I think I can see where this is going but would you mind elaborating on how we can use FTC and the chain rule. I am still not 100% sure. Thanks

Yeah s and t are independent, but isn't the problem the fact that a and b are constants,and we don't know what f is, and as such the FTC doesn't really get us anywhere useful?

Hi, How would one go about solving equations like ∫^{b}_{a}f(s,t)g(s)ds=g(t),for f(s,t). Could we turn it into a differential equation somehow? Thanks

Homework Statement Show that the curve r = (t2,t3-t) Intersects itself at (1,0), and find the slopes of the tangents at this point. Homework Equations The Attempt at a Solution Okay I can show it intersects itself there, but what I am having trouble with is when they say slopes...

I think I see what you mean so fy(y)= f( g-1(y1,y2)) . Jacobian[ g-1(y1,y2)]

You are close, you just need to change a few things. Also Do you have to use a trig function? What about x/1-x2, that maps (-1,1) -> ℝ, could you modify that?

Homework Statement Let X1 and X2 be random variables having a joint pdf, fX1X2(x1,x2). Suppose that Y1=X1X2, and Y2=X1X2 Use the transformation result to derive an expression for the joint pdf of Y1 and Y[SUB]2 in terms of that for X1 and X2 Homework Equations The single random...

Thanks for taking time to reply, you've all given me some interesting reading.

Thanks for that. It all looks pretty interesting. Now I see why my lecturer wasn't going to show us the proof.

How would one go about proving ℝn is not homeomorphic to ℝm for m≠n. This isn't a homework question, I was told, but we weren't shown the proof.Is there somewhere with a proof I can see, or can someone outline it briefly?