[integer-relation] only has two uses, and neither usage seems to use the tag properly. I suggest we remove this tag (I don't know the protocol for this, please let me know if this is not how one should do this). Likewise, [invariant-measure] has one use, and that too is a PSQ.
The number $10.3500574150076$ is a numeric approximation of $\log(2)^2+\pi^2$. It has a relatively simple form. But I have tried Maple's identify, ISC+, wolframalpha, and none of these could find a closed form of it. Is there anyway to find its closed form with algorithm/software? My impression ...
I would like to find the number of all points with integer coordinates ($(x,y,z): x,y$ and $z$ integer) in an ellipsioid $\frac{x^2}{a^2}+\frac{y^2}{b^2}+\frac{z^2}{c^2} < P $ Is it possible to find an equation for the number of them, and how? I encountered this problem while solving a physics...
Could anyone tell me what does it mean by discrete, Lebesgue singular and absolutely continuous parts of an invariant measure? Also, by example, could anyone help me to understand, how a measure can be uniquely decomposed into two-measure? Thanks for helping!
The unknown functions $f_1(t)$ and $f_2(t)$ are the solutions of the following system of dual integral equations \begin{align} \int_0^\infty \mathrm{d}\lambda \, \lambda^{-\frac{1}{2}} J_{1}(\lambda r) \int_0^1 \mathrm{d}t \Big( \left( 1 + e^{-\lambda}(\lambda-1) \right) J_{\frac{3}{2}} (\lambda...
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