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Apr
15
comment Is the Banach-Tarski paradox realistic? Why is Volume not an invariant?
Honestly, I don't think the contribution of binding energy to mass is really relevant here. One could easily imagine performing set operations in a universe where there is no binding energy, if that would make a difference. I think your last paragraph gets to the point better.
Apr
9
comment Is $\exp(x)$ the same as $e^x$?
Yes, I'm with @Hrodelbert: the statement that "exp" is preferred in physics seems unjustified.
Mar
2
comment Particles that are distinguishable and indistiguishable at the same time
Since this question was in the process of being reviewed for migration, I'm canceling the bounty for now.
Feb
13
comment Calculation of triple integrals like $ \int_{V'} \frac{ \mathbf{r} - \mathbf{r'}}{\mid \mathbf{r} - \mathbf{r'} \mid ^3} dV' $, on spherical domain
Comments are not for extended discussion; this conversation has been moved to chat.
Jan
30
comment Is the Law of Large Numbers empirically proven?
@user1891836 (3 comments up) in the frequentist interpretation, that is more or less the definition of probability.
Jan
26
accepted Is there a known simple mental approximation to a hypergeometric distribution?
Jan
23
comment What's your favorite proof accessible to a general audience?
You can rework this into an estimate of the amount of time since any two people in the world have shared a common ancestor. Not a great estimate since incest (your definition, not the legal definition) makes it impossible to say for sure, but I think that's much more likely to appeal to lots of people who don't consider themselves mathematically inclined.
Jan
10
comment What are good programs for writing expressions?
LaTeX is both a markup language and a program (which converts that markup language into something like PDF). I get the argument that LaTeX the program seems like overkill for this task (though I don't generally agree with it), but LaTeX the markup language is perfectly suited. I presume this question is asking about the program, rather than the markup language.
Jan
7
comment Is arrow notation for vectors “not mathematically mature”?
I really can't agree with this, since you seem to be implicitly asserting that the arrow notation can only be used to represent an element of $\mathbb{R}^n$ (perhaps even specifically $\mathbb{R}^3$). As far as I know, that's not the case.
Jan
7
revised Trouble doing simple polynomial interpolation
change tags and fix some typos
Jan
7
suggested approved edit on Trouble doing simple polynomial interpolation
Dec
27
comment Partial differentiation of double integrals.
@coffeemath indeed, thanks for catching that, I've fixed it
Dec
27
answered Partial differentiation of double integrals.
Dec
26
revised Large-z limit of the *other* second derivative of the Laguerre polynomial
change the notation for the subscript since it was confusing
Dec
23
comment Do we really need reals?
Most physicists would actually say exactly the opposite of your first sentence: that all measurements are irrational, albeit that no measuring device is actually capable of exactly representing a measurement. It goes to show the difference between a physics point of view and a mathematician's view of physics. (Of course @SeanD's comment is probably an even better description.)
Dec
23
asked Is there a known simple mental approximation to a hypergeometric distribution?
Dec
14
comment Is it always true that $(a,b,c)(a,b,c) = (a,c,b)$?
You're using cycle notation, right? I was confused for a minute.
Dec
11
comment Operator $\nabla$
This would be so much better if you didn't have an image full of math, and instead typed out a summary.
Dec
11
comment riddle that involves elementary geometry
I think you might have a typo? "grid vertices of each triangle with side 2 are 1-colored"
Dec
9
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