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  • 45 votes cast
Jun
14
asked Simple manipulation using four vectors
Jun
10
asked Solid angle in $D$ dimensions
Jun
10
asked Rexpressing a delta function
May
28
comment Converting an integrand into a polylog?
Ah nice, would you know if there is a method utilising polylogs at all? +1
May
28
comment Converting an integrand into a polylog?
Ok this is what I thought, many thanks. Any comments regarding the integral?
May
28
asked Converting an integrand into a polylog?
May
27
asked Multiple polylogarithms
May
27
accepted Polylogarithms and the shuffle algebra
May
26
comment Polylogarithms and the shuffle algebra
I also looked at the proof by the other responder on the other thread. How did he get from the first line to the second line? In particular, why did the limits on the integral change the way they did? Thanks!
May
26
comment Polylogarithms and the shuffle algebra
Many thanks! Do you have any comments regarding whether my understanding of the shuffle algebra is correct?
May
26
asked Polylogarithms and the shuffle algebra
Apr
27
comment Quick question about covariant derivative
Actually, I am thinking $\nabla_i f$ denotes the $i$th component of the covector $\nabla f$ and these components are in general functions?
Apr
27
asked Quick question about covariant derivative
Apr
19
awarded  Notable Question
Apr
14
accepted Curves and tangent vectors in a manifold setting
Apr
14
accepted Showing $T$ equivalent to linear map
Apr
14
comment Non-affinely parametrized geodesics
Perhaps it is so simple that I can just define $f$ to be that quantity?
Apr
14
asked Non-affinely parametrized geodesics
Apr
6
asked Showing $T$ equivalent to linear map
Mar
17
comment Curves and tangent vectors in a manifold setting
Many thanks for your reply! I think I understand but let me apply it to a simpler case and then see if my thinking is right. Suppose we have some function $Y = f(\mathbf{x}(t))$ which I can write as $Y = f \circ \mathbf{x} \circ t$. Then $$\frac{df(\mathbf{x}(t))}{dt} = \sum_{i=1}^n \left(\frac{\partial f}{\partial x^i}\right)|_{\mathbf{x}(t)} \frac{d x^i(t)}{dt} = \sum_{i=1}^n \left(\frac{\partial f(\mathbf{x}(t))}{\partial x^i(t)}\right) \frac{d x^i(t)}{dt}?$$