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2d
comment Stuck with a problem of calculus of variation in the proof that a minimizing curve is a geodesic
The key is: the integral must be zero for every such $\phi_i$. So the only possibility is that the $f_i$ have all zero weak derivatives, i.e. they are constant a.e..
2d
answered Stuck with a problem of calculus of variation in the proof that a minimizing curve is a geodesic
Aug
7
awarded  Revival
Jul
30
reviewed Approve How to simulate Permanental Point Process
Jul
28
comment Disintegration of probability measures, reference request
Oh thank you so much!
Jul
28
answered Determine if 2 points are horizontal without trigonometry
Jul
23
comment In manifold theory, in what sense is the derivative a first-order approximation?
The concept that is precisely generalized is "linear approximation". Namely, the differential of a function induces uniquely a linear map between tangent vectors, which in familiar contexts is exactly the first order approximation.
Jul
20
comment Natural bilinear map $B\colon Alt^p(E^*)\times Alt^p(E)\rightarrow\mathbb R$
Oh, ok, I get it.
Jul
15
reviewed Approve Given a corner, draw a square of known size minimizing vertex distance to a point
Jul
10
awarded  Nice Answer
Jul
8
answered Conditional probability ordering singers
Jul
8
awarded  Custodian
Jul
8
comment A product version of Riemann integral
You are welcome!
Jul
8
comment A product version of Riemann integral
Sure. Edited :)
Jul
8
revised A product version of Riemann integral
added 479 characters in body
Jul
8
answered A product version of Riemann integral
Jul
6
revised $A^tA-AA^t$ in Mathematical Physics
added 428 characters in body
Jul
6
comment $A^tA-AA^t$ in Mathematical Physics
Yes! In particular, $A^tA$ has a metric significance, it gives the length (for vectors), or metric tensors, or first fundamental forms. I'm asking exactly what the difference measures, though. Anyway your answer suggested me an edit, so thank you!
Jul
6
asked $A^tA-AA^t$ in Mathematical Physics
Jul
3
answered Is a principal bundle automorphism locally given by a left action?