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The curves looks somewhat like an exp(-t^2) function Maybe something like this would work?

a cubic polynomial can never have 4 distinct roots.

Grobner bases are probably the most complicated thing I've studied at uni, thankfully we have programs like Maple to help out...

I've worked in a hostel in Edinburgh for the last two years as a summer job. So many tourists that didn't even know the fringe was on come to Edinburgh and are shocked by the prices. I've heard some hostels charging over £100 per night for their last room!!

Remember doing something simliar to a friends room whilst living in halls. It takes a surprisingly lot longer than any of us had expected. Also, I can most definitely recommend using cable ties (or something similar) otherwise you'll have extremely sore fingers afterwards.

Hi, Got a orchestral piece of music stuck in my head and can't for the life of me remember what it's called. This is probably not the right key but the notes go C G C D Eb D Eb C G the best way to describe it would be march-like My initial guess was Brahms but I'm really not sure...

I can reccomend going to the Jemma at night, the atmostphere is amazing and it's basically just a massive communal bbq. Other than that, don't go with any "tour guide" to the souks, you will find they're generally on commission from the shops that they take you to.

Basically if you do multiplying before diving you get one answer and if you do dividing before multiplying you get another answer. The question is ambiguous and really both answers are correct.

Up at Edinburgh uni, third (of 4) year. The questions set seem to have a lovely habit of simlifying very nicely, ML Lemma basically making everything go to zero along certain contours. I'm pretty sure the exam will have a relatively nice first question followed by a big integral evaluation...

No problem, doing similar problems myself at the moments. These evaluation of integral questions are HARD! It's a simple derivation: let z^2 = i (a+ib)^2 = i expand and equate real and imaginary parts. you should get two equations for a and b a^2 - b^2 = 0 2ab = 1 simples.

sqrt(i) = sqrt(2)/2 + sqrt(2)/2 * i

It's confusing in the way that you are using a, b, c as the roots of the equations as well as the coeffecients of each term. think of: ax^3 + bx^2 + cx + d = 0 having roots f, g and h: then f + g + h = -b/a fg + gh + fh = c/a fgh = -d/a

It's a horrible question in terms of having to factorise it. If there are identities that you can use to avoid factorising I guess it's not too bad. Been a while since I did FP1 though

That's a horrible question. Usually there's an obvious root say -1 or 1 which you can use. When there's an obvious root to be found, say a. You can divide the cubic by (x - a) and then factorise the remaining quadratic.

One of the best CVs I've seen posted on here. Good job.

See if you can send an e-mail round first / second year students. They'll happily take them off you if you give them a good price

Was planning on doing exactly the same, an hours worth of good tv before bed :)

He contributed some amazing photoshops to some of the hundreds of "photoshop this for me" threads

Had a very close inspection and can't see any kind of image at all

Hi, Got a friend's laptop whose screen isn't working. Everything works perfectly when plugged into an external monitor, and you can hear the laptop boot up and login when using the broken screen. The screen has power going to it, but it remain black. I have tried taking it apart to see...