Recent content by I like number

Hello all, I was wondering if any of you have a good method for checking your answers to linear systems of equations(when working by hand). I mean the sorts of equations you would encounter on a first university linear algebra course. I solve the system with Gauss/Gauss-Jordan elimination...

Thanks very much to you both. I think I can see it more clearly now, (and a good nights sleep always helps too!). I will continue to play around with these ideas and if I have any more questions I'll be back. Thanks again

Homework Statement Why is it that continuous functions do not necessarily preserve cauchy sequences. Homework Equations Epsilon delta definition of continuity Sequential Characterisation of continuity The Attempt at a Solution I can't see why the proof that uniformly continuous...

Hi, Firstly don't worry, a lot of people feel the same. The good thing is that you sound like you do want to be studying :D Why not say to yourself, tomorrow I'm going to do an hour of maths revision(or whatever). Make sure that you have used the toilet/eaten got a drink etc before you...

:blushing: *doh*! eiθ= ± eπ/12i And from this I get the value I had which was π/12 if I take the positive root, if I take the negative root then the argument will be π12 + π = 13π/12 which gives the argument -11π/12 which was one of the missing ones :D If i do this for the others I'll get...

Thanks for the reply. Doing that I end up with e2itheta=3rdrt i From part i) of the question I have all 3 values for the 3rdrt i , so i set e2itheta= to each of them one at a time , then find theta but this only gives 3 values. If I was to plot the values I get on an argand diagram mine...

Hi, I was taught what I consider a really neat trick for writing recurring decimals as fractions(supernerdy) and thought I'd share it. :D let x = 0.54154141... 1000x=541.541541... 1000x-x=541 999x=541 x=541/999 0.541...=541/999 :D It's probably easier to use Cyosis' method though :D

Homework Statement i) Solve the equation z^3 = \mathbf{i}. (ii) Hence find the possible values for the argument of a complex number w which is such that w^3 = \mathbf{i}(w*)^3. I'm stuck on part ii. Homework Equations The Attempt at a Solution The answer to the equation in...

Thank you! That made a lot of sense and I understood it :D I'm going to mull over it, have another shot at the question a little later and let you know how I get on/ if there is anything I don't fully grasp. Thanks once again.

Homework Statement The problem can be found http://www.drewett-gray.co.uk/alevel/ff&e/papers/ffe_04_Jun.pdf" (page 10 and 11) Question 4 part B i and ii Mark Scheme if needed http://www.drewett-gray.co.uk/alevel/ff&e/papers/FFE_04_Jun_MS.pdf" Homework Equations Faradays law: The induced...