Recent content by Lavace

I am trying to calculate the dual form of an SVM optimisation problem: Dual Form Optimsation Problem In my algorithm, I have a vector of alphas, vector of target outputs, and a Kernel matrix computing upfront. However, I am stuck as to what indices alpha and j should be taking here...

The rect(x) function states that: if |x| > 0.5, then rect(x) = 0, if |x| = 0.5, then rect(x) = 0.5, if |x| < 0.5, then rect(x) = 1 So, by translating with rect(x+0.5), we see that obeying the above function results in just half the rectangle (I think...). Also, if rect(0.5x) transforms away...

Homework Statement Compute the standard inner product <f,g> between two one-dimensional functions f(x) = rect(0.5 + x) and g(x) = rect(0.5x), which both depend on the argument x is a member of ℝ. Homework Equations Clearly, we must solve the following : <f,g> = ∫f(x)g(x) dx between...

I am attempting to recreate Sutton's work on the 'Acrobot' and have modeled a good solution to the following: http://webdocs.cs.uAlberta.ca/~sutton/book/ebook/node110.html The physics is implemented in exactly the same way, however my particular Java implementation requires some constraint...

I am trying to model the following in a computer simulation: http://webdocs.cs.uAlberta.ca/~sutton/book/ebook/node110.html However I am struggling to understand which variables stand for which. In particular, the variables not defined are: d1 and d2 phi1 and phi2 Another problem...

Homework Statement http://img96.imageshack.us/img96/9288/lagrangiansimplifcation.jpg [PLAIN]"[URL If you require more info in the derivation, it's on page 1: http://www.ph.qmul.ac.uk/~phy304/Homework/HW3sol.pdf Homework Equations L = T - V The Attempt at a Solution I...

Also, any clues for b)?

From A''(x) = -k^2 A(x), we seek a solution of the form A(x) = Csin(kx + psi) Apply our boundary conditions of y(0,t) and y(L,t) both = 0. We end up with sin(kL) = 0, where kL varies from 0 to 2PI, this implies that kL=nPI where n=1,2,3... Because it's quantised, we can say k(n) = nPI/L...

Homework Statement [PLAIN]http://img33.imageshack.us/img33/8236/waveeq.jpg The Attempt at a Solution We calculate second differential with respect to x, and t, substitute into the wave equation. We then equate the coefficients: [A''(x) + (w/v)^2A(x)]sin(wt)=0 We know from...

Homework Statement Calculate the total energy of a 2kg mass that is undergoing simple harmonic motion with an amplitude of 1cm and and frequency of 16Hz. Homework Equations ma = -w^2x The Attempt at a Solution The first thing I thought was using the general solution of x(t) = A...

So here's my new solution: F = mg - kd - kx , where d is the extension the string was stretched by. Because mg = kd (from the equilibrium balance), F = -kx We can then say ma = -kx, and hence a = -(k/m)x, where w = SQRT(k/m) But then, why were we given the extension of when the mass was...

Homework Statement http://damtp.cam.ac.uk/user/dt281/dynamics/two.pdf" Looking at page 5, equations (2.19) and (2.20) The Attempt at a Solution I cannot understand how they derived the (2.20), at first from comparing the solutions I had assumed r(dot)' had disappeared as we were...

No joy?

I used your defined variable and plugged it in, but still cannot arrive at the proof given in the question, could you possibly expand further? Thank you!

Homework Statement What is the difference between Maxwell-Boltzmann and Maxwell distributions in the kinetic theory of gases? The Attempt at a Solution I know that the Maxwell-Boltzmann Distribution shows the energy of molecules against the number. What this shows is a spread of the...