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Let U be a p-dimensional random vector (X1, X2,…, X p ), where each X i is a random variable; then an instance of random vector U can be seen as a point in the p-dimensional space.
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With repeated listens, Andy Khachaturian's mangled slogans ("Casual instances of random bursts make for time's enemy") get no more intelligible, and no less urgent.
In two other instances of random violence that captured the public's attention on Tuesday, a woman on an overnight train in northeastern China slashed and stabbed fellow passengers with a piece of metal, wounding nine people as they slept.
For simplicity, we have not distinguished between random variables and instances of random variables, as such can be ascertained through context.
More specifically, the simulations are performed by generating 103 instances of random Gaussian matrices, each one representing a single fading realization of the system.
These are not isolated instances of random bad luck.
Distributions for AUROC and AUPR were estimated from 100,000 instances of random network link permutations".
A null distribution was computed from the analysis of 1000 instances of random gene selections and 1000 random permutations of the diagnostic labels.
Kriging is one of interpolation methods, which apply regionalized variables and describe spatial dependencies between the instances of random variables by using semivariograms [ 3].
That is,, where, x i are instances of random variables X i ∼ exp(μ i ) and n is a large referring to sample size (we assumed n = 1000).
Assuming instances of random vector U are sorted in the p-dimensional space, then dcol(Y∣ U) can be computed according to (2) for any random variable Y. Therefore, the key problem is to define the order of a series of p-dimensional points.
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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