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location Baltimore, MD
age 28
visits member for 2 years, 8 months
seen 2 days ago

I'm a PhD student in the Biophysics department at Johns Hopkins.


Apr
12
comment When are $\Delta x$, $\delta x$, $dx$, and $\text{đ}x$ exactly the same? When are they approximately the same?
@Rustyn if you could explain why they can't be legitimately substituted for one another, that would possibly be the best thing of all. I asked this question on the math SE instead of the physics SE on purpose. What I'd really like is some kind of exact comparison of the meaning of these various symbols to use as a guide for understanding these types of substitutions in the physics literature.
Apr
12
comment When are $\Delta x$, $\delta x$, $dx$, and $\text{đ}x$ exactly the same? When are they approximately the same?
@achillehui thanks, that makes it clearer. What I'd really like to know though is when can one be legitimately substituted for another
Apr
12
revised When are $\Delta x$, $\delta x$, $dx$, and $\text{đ}x$ exactly the same? When are they approximately the same?
added stuff about inexact differential $\text{đ}x$
Apr
12
comment When are $\Delta x$, $\delta x$, $dx$, and $\text{đ}x$ exactly the same? When are they approximately the same?
@crf all I know for sure about $\delta x$ is "something something calculus of variations, waves-hands"
Apr
12
comment When are $\Delta x$, $\delta x$, $dx$, and $\text{đ}x$ exactly the same? When are they approximately the same?
@crf no. Here's an example of how $\delta x$ is used in the first chapter of Kardar's Statistical Physics of Particles: $\delta E \leq T\delta S + \bf{J}\cdot \delta \bf{x}$
Apr
12
asked When are $\Delta x$, $\delta x$, $dx$, and $\text{đ}x$ exactly the same? When are they approximately the same?
Aug
8
awarded  Notable Question
Jul
31
awarded  Yearling
Jun
23
awarded  Popular Question
Apr
19
accepted If $\log_{b}N$ is rational, what are the limitations on the possible values of $b$ and $N$?
Apr
17
comment If $\log_{b}N$ is rational, what are the limitations on the possible values of $b$ and $N$?
That's what I thought, but I wasn't sure if it was necessary. I don't suppose you could humor me with a proof of the necessity?
Apr
17
asked If $\log_{b}N$ is rational, what are the limitations on the possible values of $b$ and $N$?
Apr
17
awarded  Supporter
Aug
15
accepted Can you raise a number to an irrational exponent?
Aug
2
awarded  Nice Question
Aug
2
asked Can you raise a number to an irrational exponent?
Aug
2
awarded  Scholar
Aug
2
accepted Can you write a non-piecewise equation that describes an arbitrary shape?
Jul
31
awarded  Student
Jul
31
awarded  Editor