Recent content by BomboshMan

Ah! That makes sense now. Thanks very much!

What exactly does 'up to isomorhism' mean, and why does this mean there isn't more than one?

Hi, I can't understand why the statement in the title is true. This is what I know so far that is relevant: - A subgroup of a cyclic group G = <g> is cyclic and is <g^k> for some nonnegative integer k. If G is finite (say |G|=n) then k can be chosen so that k divides n, and so order of g^k...

Hi, I'm doing this integration: I = ∫^{1}_{-1}1/(\pi√1-x2)dx I made the substitution x = cosθ, and I'm fine with performing the integral apart from changing the limits - for x = 1 I put θ = 0, but for x = -1, how do I know whether to choose θ = \pi or θ = -\pi? The first choice gives I...

Hi, I know if we have a complex number z written as z = x +iy , with a and real, the complex conjugate is z* = x - iy. Also if we write a complex function f(z) = u(x,y) + iv(x,y), with u and v real valued, then similarly the complex conjugate of this function is f(z)* = u(x,y) - iv(x,y)...

When doing surface integrals of surfaces described parametrically, we use the area element dA = ndS = (rv x rw)dvdw Where dS is the surface area element and v and w are the parameters. I'm fine with the derivation of this (I think) but I don't understand why it's necessary to have n and dS...

Hey, I'm really struggling with this 'show that' question regarding the secant method, I just keep going in circles and I think I may be heading in completely in the wrong direction because I'm not getting anywhere. Homework Statement We're given that, if x* is the zero of f then (we...

Hi, Say there's a particle moving with just a radial component of acceleration, this will stay in circular motion because the acceleration is always perpendicular to the velocity. But if you introduce a tangential component of velocity, according to my book the particle stays in circular...

Hi, Two questions I'm finding it hard to get my head around with inductors... Say we have an increasing current, this is going to cause an increase in flux in one direction, which will induce an emf to drive a current which produces a magnetic field to oppose the change in flux. Than doing...

Thanks guys :D

I know total energy is conserved, but does this mean that different frames agree on the total energy of a particle? I'm assuming they don't agree on energy, because if I measured the total energy of a particle moving relative to me (which would equal the rest energy plus its kinetic energy)...

Lorentz factor for moving inertial reference frames is λ = \frac{1}{\sqrt{1 - \frac{v2}{c2}}}, where v is the relative velocity between the frames. But in my textbook (I'm only just learning relativity), it says the Lorentz factor for a particle is λp = \frac{1}{\sqrt{1 -...

Hi, If I have two sinusoidal waves with the same frequency, wavelength and amplitude, traveling along the same line in opposite directions, the net displacement of the resulting standing wave wave is given by D(x,t) = 2a*sin(kx)*cos(ωt) the boundary conditions for standing waves on a...

Hi, I undersand that tension is the force exerted on an object by a string or rope when pulled. Where I get confused is when I'm asked to find the tension at a point along a rope or tension in a section of rope...would the tension in/of a section of rope be the net force acting on it, or the...

I'm doing AQA Physics A unit 5 next Monday, and I've been doing some past papers but I'm not sure about how to answer questions on the energy released in nuclear reactions. The mark schemes say that the energy released is equal to the change of binding energy per nucleon but I thought that the...