Recent content by back2square1

I don't understand. ##{ e }^{ i\theta }=cos(\theta )+i sin(\theta )## is the reason why we can write sinusoidal wave in Euler's from. Without ##i##, how can we say its a sinusoidal wave? Expressing it as a function of ##x-vt##, it looks like this: ##f(x-vt)=A{ e }^{ -\frac { a }{ c } {...

Homework Statement A traveling pulse is given by f(x,t)=A{ e }^{ \frac { 2abxt-{ a }^{ 2 }{ x }^{ 2 }-{ b }^{ 2 }{ t }^{ 2 } }{ { c }^{ 2 } } } where A, a, b, c are positive constants of appropriate dimentions. The speed of pulse is: a) \frac { b }{ a } b) \frac { 2b }{ a } c) \frac { cb...

Oh. Thanks. Got it. Sometimes things as simple as this slip off.

This should be simple but I know I'm going wrong somewhere and I can't figure out where. The curl of a electric field is zero, i.e. \vec { \nabla } \times \vec { E } = 0 Because , no set of charge, regardless of their size and position could ever produce a field whose curl is not zero...

L[sin(at)]=\frac{a}{s^{2}+a^{2}}, Re[s]>0 L[e^{kt}]=\frac{1}{s-k}, s>k L[e^{-kt}]=\frac{1}{s+k}, s<-k L[sin(at)]=\frac{1}{2i}L[e^{iat}-e^{-iat}] =\frac{1}{2i}L[e^{iat}]-L[e^{-iat}] Using the above relations =\frac{1}{2i}[\frac{1}{s-ia}-\frac{1}{s+ia}], s>ia, s<-ia The problem is...

Thanks you so much. My textbook uses both but they are very specific about where they use which term. And, I'm a beginner in Mathematical Analysis.

Are the least upper bound and supremum of a ordered field same thing? If so, then why do we have two different terms and why do textbooks do not use them interchangeably. That also means that greatest lower bound and infimum are also the same thing.

Believe me, the education system in India is collapsing. My lecturer was too stupid to explain me those things. I had my second lecturer yesterday and he started with Galilean Transformation and went all the way through Lorentz Transformations,Time dilations, Michaelson-Morley Experiment and...

Ok. I admit I'm completely new to Relativity (I had my first lecture today!). What I learned was that the speed of light is a absolute constant that doesn't change. I then came into some situation like, 1. I'm driving my car with velocity v and turn on my headlights, won't the speed of light...

As you've done in the screenshot, Pylab seems to be exactly what I was looking for. So which one do you think would be better for me - gnu-Octave or Pylab? And do you know any GNU maths package because right now I'm running low on my funds. Amd Maple is also *not* available for students!

Hi, everyone. I was wondering if you guys know a good *programmable* graphing calculator for Windows XP. I took a look at Microsoft Maths which was kinda fine but it lacked many feature (even though the input was neat). And then I came across GraphCalc (http://www.graphcalc.com/) which was...

Thank you very much, Mute. It worked really nice. You're a wonderful guy. As you said, I added some extra parenthesis to my function and I can see a nice square wave, like this: http://goo.gl/9nu8V Thank you once again. And yeah, I meant to write it like this, f(x)= { -1, -π ≤ x ≤ 0; +1, 0 ≤ x ≤...

for a square wave function, f(x)= { -1, -∞ ≤ x ≤ 0; +1, 0 ≤ x ≤ ∞ Expanding it in Fourier series gives a function like, f(x) = (4/π) * Ʃn=0∞( (sin ((2n+1)x) / (2n+) ) Plotting a graph of the equation gives something like this, http://goo.gl/vFJhL which obviously doesn't look like a...