Yes, that is quite a lot over what the average physics professor does. First, there's the problem that the 'generic' school does not have a PhD program. Ignore that. Then there's just the fact that most professors don't graduate 1 student a year for most of their career. Physics probably does graduate a lot more students than math (I don't have the numbers), but still much less than that.
@DanielSank I would hope that if a university or company comes to the conclusion that harassment happened, the perpetrator is fired before they're convicted of harassment in a criminal court.
@DanielSank you're right I just might be biased in this case because I've personally known female students who have been discriminated against by professors or male peers
He proves the Theorema Egregium but never showed that the Riemann tensor is an isometry invariant. He just kinda assumes it unless I missed the proof somewhere.
It also helps us understand root causes. If only physics had this problem, we'd introspect. If the problem exists elsewhere, we look for broader causes.
Take a rod and put two sliding masses on it. Connect them by a spring. Let a gravitational wave pass transverse to this system. What is the EoM for the masses?
@EmilioPisanty and @KyleKanos - I'm very sorry about not noticing the size declaration part in the meta post. So, I'm removing those posts and will post new versions of the same answers only if I'm able to do something about the image sizes.
> An application of the Theorema Egregium is seen in a common pizza-eating strategy: A slice of pizza can be seen as a surface with constant Gaussian curvature 0. Gently bending a slice must then roughly maintain this curvature (assuming the bend is roughly a local isometry). If one bends a slice horizontally along a radius, non-zero principal curvatures are created along the bend, dictating that the other principal curvature at these points must be zero.
> This creates rigidity in the direction perpendicular to the fold, an attribute desirable when eating pizza, as it holds its shape long enough to be consumed without a mess.
sextractor finds and outputs catalog of objects in an astronomical image. in order to evaluate results i need to calculate F scores. is there a testing tool for this task?
i need to generate binary images from both sextractor output and corresponding object catalogue (ground truth) to find TPs ...
given an image, he wants a catalog source listing all the binaries in the field, and he wants to know how confident one particular tool is when asked to generate the same list
Do you think the SE chemistry people would get mad if I asked how to distil vomit into hydrochloric acid
user162403
12:19
Hi, I don't understand why the degree of degeneracy of 3d is 6. Could anyone explain it to me ? As l=2 i would say there are only five possibilities for m_l ...
Genius plan: kidnap someone and torture for years. Collect all the vomit and distill it into HCl. Then dissolve the body in HCl. Literally untraceable.
@Slereah ok you can write an answer on my question explaining that
@ACuriousMind "For instance, it can be easily shown that there is no homeomorphism between the line and the circle." Am I allowed to use "easily" there?
Yes, I know how to prove it. Consider the restriction of the homeomorphism to $S^1-\{p\}$.
@ACuriousMind Will the average physicist have an intuitive understanding of why $\operatorname{span}(\partial/\partial x^\mu)$ is the "set of tangent vectors"?
I don't.
I just know I can show equivalence to the curve definition.
I think Wald defines is using derivations, which also has no intuition built in
Unless maybe you're an algebrist
@Slereah What's your definition of the tangent space
In fact if you're interested in any kind of hard CMT (including field theoretic aspects of CMT) then I would suggest peering through Sachdev's articles
In the Heisenberg uncertainty principle,
$$\Delta x \cdot \Delta p \geq \frac{h}{4\pi}$$
The values of $\Delta x$ and $\Delta p$ are the standard deviations which we get from the probability distribution function of the particle and I heard that it has nothing to do with the measuring instrumen...