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In connection with the discussion of projection tag I have noticed that there is the tag called map-projections
This tag was very likely created with cartography in mind. The the first occurrence found by this SEDE query is the question How do great circles project on the mercator projection?. ...
The box topology on the set $\mathbb R^\infty$ is defined to have sub-basis of sets $U_1 \times U_2 \times \ldots$ for each $U_i \subset \mathbb R$ open. Observe this is different from the product topology which also demands all but finitely many $U_i = \mathbb R$.
The box topology is known to b...
My book shows with some steps that $$\int_{-L}^L {f(x)}^2dx=\int_{-L}^L\left\{\frac{1}{2}a_0+\sum_{n=1}^\infty\left[a_n\cos{\left(\frac{n\pi x}{L}\right)}+b_n\sin{\left(\frac{n\pi x}{L}\right)}\right]\right\}=L\left[\frac{1}{2}a_0^2+\sum_{n=1}^\infty a_n^2+b_n^2\right]$$
and hence it says
Th...
Consider the Finsler Minkowski space $(R^n,F)$ and the Euclidean space $(R^n,||.||)$. Consider the Finsler Minkowski indicatrix of radius $r$, that is $$\Sigma(r)=\{x\in R^n\ :\ F(x)=r\}$$ FYI. The indicatrix of a Monkowski Finsler metric is (topologically) a spherical fiber bundle over $R^n$. Fu...
