1,048 reputation
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bio website ellipsix.net
location State College, PA
age 28
visits member for 4 years
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I'm a graduate student in physics doing research in high-energy particle physics. I also have a hobby interest in computer programming.

You can find me on Twitter, or check out my blog and personal website!

For matters not related to Stack Exchange, I can be contacted by email at stack@ellipsix.net.


Aug
24
comment Why the limit of $\frac{\sin(x)}{x}$ as $x$ approaches 0 is 1?
So what can you use, if not L'Hopital's rule?
Aug
15
awarded  Yearling
Aug
9
comment Is “$a + 0i$” in every way equal to just “$a$”?
A physicist's answer would be that your friend is right, $a + 0i = a$, and the distinctions brought up in the answers don't matter. I imagine the same goes for many other quantitative fields of study in which math is applied. (But I'm not posting this as an answer because you asked for a proper mathematical response.)
Aug
3
awarded  Good Answer
Jul
31
comment Produce unique number given two integers
All hash functions have collisions, multiple inputs with the same output. So this violates requirement 1. The probability of getting a collision for two randomly chosen inputs may be very low, and so not worth worrying about in practice, but it can theoretically happen.
Jul
30
awarded  Nice Answer
Jul
29
answered Need Help Understanding How To Integrate With An Implicit Variable
Jul
29
answered Why do we still do symbolic math?
Jul
28
revised Are weird numbers more rare than prime numbers?
add a link to explain what weird numbers are
Jul
28
suggested suggested edit on Are weird numbers more rare than prime numbers?
Jul
27
comment How useful/useless is the indefinite integral
Yep, in kinematics there is always an initial time and a final time which supply the integral's limits, even if it's not written explicitly. You could write it as $\int_0^t \mathrm{d}v = v(t) - v(0)$ (or the equivalent in your notation). Sometimes they will say that $v(0)$ (or I guess $-v(0)$) is the constant of integration $C$, which is one way to think about it, but not my preference.
Jul
26
answered How useful/useless is the indefinite integral
Jul
25
comment What are some conceptualizations that work in mathematics but are not strictly true?
@CameronWilliams in many cases in physics, it is an "infinitesimal" process we're dealing with, and the use of the derivative is only an approximation to the true situation which involves a ratio of small quantities. So the interpretation of $dy/dx$ as a fraction is justified.
Jul
18
comment An Inequality about power numbers
Actually $4^5 = 1024$ and $9^3 = 729$ (though of course this doesn't affect the conclusion).
Jul
16
comment Integration by substitution, why do we change the limits?
I get your point (and I agree that this is more or less the proper way to think about substitution in integrals), but it is, at the very least, really confusing to say that the limits don't change. I would word it differently.
Jul
11
comment ODE particular solution (physics)
This was cross-posted to Physics (where it is on hold as of the writing of this comment): physics.stackexchange.com/questions/125897/…
Jul
9
comment Help me prove: sin(A+B) = sinA cosB + cosA sinB
This doesn't really prove anything in general, though....
Jul
3
comment How to read this matrix notation
@Ruslan ah, I missed that... it's odd because for some reason the \texttt didn't work on the computer where I submitted the edit, but on the computer I'm on now, it does work. I guess some sort of MathJax caching issue is at fault? Anyway probably the best solution is for someone to roll back my edit. (I can't)
Jul
3
revised How to read this matrix notation
fix math formatting
Jul
3
suggested suggested edit on How to read this matrix notation