Recent content by Fisicks

University of Maryland, and yeah I had no complex analysis experience except the usual 1 year undergrad course in real analysis. Also, I plan on doing a REU this summer if this factors in. I applied to 13 places.

Hi, I am a sophomore and I recently dropped Graduate Complex Analysis. I was just missing something. The solutions to the questions on the problem set were not capable of being formed by me. This being said, I am wondering if it is still possible for me to attend graduate school for...

Hi, the problem I am referencing is section 33 problem 4. Let X be normal. There exists a continuous function f: X -> [0,1] such that fx=0 for x in A and fx >0 for x not in A, if and only if A is a closed G(delta) set in X. My question is about the <= direction. So let B be the...

I can't seem to find a answer for 20.7 anywhere. Unfourtantly, I do not have the skills to latex the problem out, so I only hope someone looks in the book. My solution is that the supremum of the set of a_i 's must be finite above and the infinium is finite and greater then zero , and the b_i...

Would anyone care to share their answer for problem 17.18 in munkres intro topology book? no need for indepth explanation, just the answer will work (computational problem).

Ok, that makes sense. So I would just have to go up to the campus to collect my letters sometime around January?

So from what I have researched it looks like people start working on REU applications in January. My question is when do you go about getting letters of recommendation if your on winter break in January and when your in school in nov/dec you won't know how many letters you need or where you are...

Ok, so I would do 4/(4x10^-3)=Z then?

Homework Statement An ac voltage source is connected in series with a 1 uF capacitor and a 750 ohm resistor. The amplitude of the voltage source is measured to be 4V rms while the voltages across the resistor and across the capacitor are 3V rms and 2.7V rms respectively. Determine the...

Homework Statement A rectangular loop of wire is placed next to a straight wire. There is a current of 3.5 A in both wires. Determine the direction and magnitude of the net force on the loop. Homework Equations F=BIL The Attempt at a Solution I am kinda confused here. Will the...

Homework Statement Two long thin parallel wires 15.0 cm apart carry 31 A currents in the same directions. Determine the magnetic field vector at a point 11.0 cm from one wire and 6.0 cm from the other Homework Equations B=uI/2piR The Attempt at a Solution ok so the magnetic...

I just confused myself even more. I proved that G/H= H U gH U... U g^(k-1)H. Each is distinct because each power of g is less than k. So G/H=<gH>. Someone clear my head up please. I know this is trivial so I want to move past this lol.

Mathwonk, you are saying that I cannot conclude that G/H is cyclic from the fact alone that G/H and <gH> have the same elements? So if I prove that the image of <gH> is a subgroup of <gH>, I then know that G/H is cyclic because G/H is precisely the image of <gH> and any subgroup of a cyclic...

Prove that the factor group of a cyclic group is cyclic. Now I understand introductory AA very well. But I am just having a brain fart on this problem lol. Let G= <g> and H be a subgroup of G. Then it is true, from basically definition that G/H= <gH>. Where the equality means they are the...

Homework Statement A stiff wire 50cm long is bent at a right angle in the middle. One section lies along the z axis and the other is along the line y=2x in the xy plane. A current of 20A flows in the wire down the z axis and out the line in the xy plane. The wire passes through a uniform...