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(The uniform Lebesgue measure cannot assign positive measure to any point of the Cantor space, on pain of violating the axioms of measure theory).
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This means that for all \(s_{-i}\in X\), we have \(p(s_{-i})\cdot u_i(s_i',s_{-i}) \ge p(s_{-i})\cdot u_i(s_i,s_{-i})\), and there is at least one \(s_{-i}\in S_{-i}\) such that (this follows since \(p\) is a probability measure on \(X\), so cannot assign probability 0 to all elements of \(X\)).
Although we cannot assign any function to these SNPs, the SNPs in the untranslated regions may be useful to measure allelic imbalances at the mRNA level.
The measure cannot be filibustered.
Sinek: You cannot assign someone to be a mentor.
We cannot assign the sharp peak at 27° at present.
The government cannot assign army and security forces to protect every school, mosque, and shop.
Therefore, we cannot assign biological significance to these differences.
But those "extraordinary measures" cannot last forever.
Today, such overt measures cannot survive.
That which is not measured cannot be improved.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com