I'm sure this has been posted before, but I did a quick search and couldn't spot anything.
I was wondering what textbooks I might be able to self-study in order to get up to speed in mathematics and physics so that I might be able to understand GR, SR, and QM.
Currently I'm up to speed on...
I'm currently in an engineering program and planning to go and get an electrical engineering degree. I realize that I may be getting ahead of myself, but I have been wondering what it takes to get into a postgraduate program for a master's degree. Currently I have been doing great in my courses...
I just finished one of my first semesters in an engineering program and I have to say I love it. I haven't gotten to any of my ee courses, but I love math and physics, and so I feel like this is my perfect spot. I'm not that good at mathematics, but I found if you study hard and think about the...
I'm on my way to becoming an electrical engineer (freshmen in college) and I was wondering about the realm of the unknown. Are there things in terms of electromagnetism and electricity that we don't know? Like, are there areas of these fields that need more research and exploration?
I guess that's where research into storing mechanisms comes in. If you collected the energy and transferred it where it was needed, that would solve that problem.
In response to what I've read in this thread, the only "unlimited" power supply is the sun. It's the only truly clean energy source and I too can't understand why it isn't talked about more.
Yeah that's exactly what confused me. I tested it too. It's definitely an error or I misread it. If anyone has the Art and Craft of Problem Solving, it's on page 162 of the Algebra chapter. Perhaps someone could clear me up on this proof lol.
Can anyone explain this property of shifting the index on the summation notation?
I'm reading a book and came across this which has confused me. I don't see how these are equal:
\sum_{k=1}^n \frac{1}{k(k+1)} = \frac{1}{2} + \sum_{k=2}^{n+1} \frac{1}{k(k-1)}
It's part of an explanation that...
I was looking at some of the questions from various competitions for high schools and colleges and their questions, and I couldn't begin to solve the majority of them.
I was looking at http://books.google.com/books?id=B3EYPeKViAwC&printsec=frontcover&dq=Problem+Solving and I couldn't follow...
Oh gosh I'm sorry I was going off your previous post ( exp(-x^2) )
f(x) = \Bigl{\lbrace}\;\;
\begin{matrix} 0 & \quad \text{x=0} \\ \exp(-1/x^2) & \quad\text{otherwise}
\end{matrix}
I'm guessing if its defined like that, it would be continuous, otherwise it would be undefined in some manner at...
y = e^{-x^{2}}
It took me a little bit to realize that
ln \ y = -x^{2}
\frac{y'}{y} = -2x
y' = -2x ( e^{-x^{2}} )
It is continuous and so forth if I did the same thing again... so that would prove it is C^{\infty} ?
What would be a more formal way of proving that (if what I did was correct)...
I'm currently reading a book, The Road To Reality by Roger Penrose, and trying to tackle some of the exercises in the process. My knowledge in mathematics is limited, but broad enough to complete some of the exercises. Anyway, one of them wants you to consider the one function...