Consider:
u(t)=\begin{cases} 1\quad \quad \quad \quad t>0 \\ 0\quad \quad \quad \quad t<0 \end{cases}
Now I want to calculate this:
\int _{ 0 }^{ a }{ \frac { u(t)-u(t-a) }{ { t }^{ 2 } } } dt
whereas: a>0
What is confusing me is this point that should our answer for the integral include...
For proving this equation:
\delta (g(x)) = \sum _{ a,\\ g(a)=0,\\ { g }^{ ' }(a)\neq 0 }^{ }{ \frac { \delta (x-a) }{ \left| { g }^{ ' }(a) \right| } }
We suppose that
g(x)\approx g(a) + (x-a)g^{'}(a)
Why for Taylor Expansion we just keep two first case and neglect others...
Thank you friends. I will consider your advices. I have an opportunity of working for one year and then studying my Master in Turkey. But regarding to my parents' diabetes sickness, and a lot of other factors, such as my military service pledge I'm really doubtful to leave home. I feel guilty...
OK, this website is heavily detailed about the topics but I think there are still better resources than what mentioned there. For example I prefer Sadri Hassani mathematical methods. I know because of copyright law, the resources couldn't be so varied. So please call the other books that can be...
I'm living in a deprived area and self-study is what I've done for whole of my life. And it's truly very hard to study the resources regularly without being delayed on the schedule. However I think this is the only choice I have,otherwise, I should escape Iran illegally. :D
Hello everybody.
I have a BSc in physics, I tried hardly recent two years to get high scores in GRE/TOEFL exams to get accepted in U.S. and continue my education in physics,however, I rejected badly. First I thought by myself to leave physics, I gambled whole my future for physics and now I'm...
hi, i want a book that introduce the heading of quantum maths and explain their from basic to advanced.
if this book there is in internet free, please send it's link.