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comment Choosing between SOV/Green's functions/Laplace transform for solving PDE - Guideline for choosing the most appropriate method?
Crossposted from physics.stackexchange.com/q/203713/2451
Aug
21
comment Can $S^4$ be the cotangent bundle of a manifold?
Ups: Noticed crossposting: math.stackexchange.com/q/1402849/11127 Please don't crosspost. Instead ask for migration.
Aug
21
comment Construct bivariate symmetric (polynomial) nonnegative functions (distributions) over the unit square with certain properties
Crossposted to physics.stackexchange.com/q/201369/2451
Aug
20
answered Can $S^4$ be the cotangent bundle of a manifold?
Aug
14
comment Number of independent components of a unitary matrix
Hint: An complex $n\times n$ matrix contains $2n^2$ real d.o.f.
Aug
10
comment Finding the closest function describing a “magnetic line” (given magnetic readings)
Crossposted to physics.stackexchange.com/q/199434/2451
Aug
10
comment If the curl of some vector function = 0, Is it a must that this vector function is the gradient of some other scalar function?
Would Mathematics be a better home for this question?
Aug
7
comment How to show that $\int_{-\infty}^{\infty} \mathrm{d}^3 \textbf{k} \frac {e^{i \textbf{k x}}} {(2 \pi)^3} = \delta^3(x)$ in spherical coordinates?
When considering the 3D Dirac delta distribution $\delta^3({\bf x})$ using coordinates, one should use a coordinate system that is defined in an open neighborhood of the support $\{{\bf 0}\}$ of the distribution. Spherical coordinates fail in that department.
Aug
6
comment Question on symplectic geometry
Crossposted from mathoverflow.net/q/213105/13917
Jul
31
comment Choice of order in the Leibniz rule is arbitrary?
The assignment of positive orientations for the orientable manifolds $M$ and $\partial M$ in Stokes theorem $\int_M \!d_{L,R}\omega ~=~\int_{\partial M} \! \omega$ would have to be adjusted appropriately to make the Stokes formula work. We leave the details to the reader.
Jul
30
answered Choice of order in the Leibniz rule is arbitrary?
Jul
22
comment The Riemannian Curvature in a solid sphere
...where a solid sphere is technically called a ball $B^3$.
Jul
21
comment Maximisation of the distance of particles in a periodic box
Crossposted from physics.stackexchange.com/q/195000/2451
Jul
18
comment Second order PDE and its equivalent First order Representation
Crossposted to physics.stackexchange.com/q/194631/2451
Jul
18
revised Derivative of solution of differential equation with respect to parameter
Corrected solution and added simpler method.
Jul
17
revised Derivative of solution of differential equation with respect to parameter
Added explanation
Jul
17
answered Derivative of solution of differential equation with respect to parameter
Jul
15
revised What's going on with these identities involving $d$, $\mathcal L_X$, and $\iota_X$?
Added explanation
Jul
14
answered What's going on with these identities involving $d$, $\mathcal L_X$, and $\iota_X$?
Jul
3
comment Fundamental Lemma of the Calculus of Variations with higher derivatives
Related question on Phys.SE: physics.stackexchange.com/a/172361/2451