Recent content by Mamooie312

Yo. Wsup. I watched a video about three years ago where this guy suppossedly provedthe nonexistence of the universal set. I can't find it now but what he said (rather quickly) was that from Cantor, every set is a subset. Therefore, there is no universal set. 1) Is this valid? 2) RW...

Urbana-Champaign does.

Normal vector (dot) Tangent vector = 0 usually if you don't care about the binormal ones.

T: (x,y) to (theta, r) x = rcostheta y = rsintheta derivative matrix of T: t11 = -rsintheta t12 = costheta t21 = rcostheta t22 = sintheta detT = -r(sintheta)(squared) - r(costheta)(squared) = -r but the Jacobian should just be r and if you map T: (x,y) to (r, theta) instead of what I did then it...

Use Lagrange Multipliers on the boundaries.

Homework Statement Determine the Jacobian determinant for "polar" coordinates and use that to compute the intergral . . . Blah blah blah that's not the point. Homework Equations (x,y) maps by T to (r, theta) or (theta, r) detT = jacobian The Attempt at a Solution Anyways, first I...

If the determinant of the matrix these vectors make is 0 then some of them are linearly dependent.

E + F = span{u,2v) + span{w,v} = au + 2bv + cw + dv = span(u,v,w) I think. Not comepletely sure.

You forgot gravity. F = mgsin(28) - umgcos(28) = ma Solve for acceleration and then use kinematics. Proof: Friction = uN Normal force is gravity going into slide = umgcos(28) All movement is along the slide. The gravity component in this direction is mgsin(28) Try to treat gravity and the...

Only force on the mass is gravity, which is conservative. so Einitial = Efinal Ui + Ki = Uf + Kf