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Observations that are realizations of some continuous process are frequently found in science, engineering, economics, and other fields.
The profile-matrix spectrum of the string can be considered as a stochastic model of heterogeneity manifestation in textual strings that are realizations of the string.
Experience justifies our trusting that nature is the realization of the simplest that is mathematically conceivable.
We can consider that our observations are realizations of the random vector X = (X1,..., X n).
That is a realization of Mao's dream.
"But one of the best things, of course, is the realization that being Batman is not just the suit.
"The other thing is that the realization is setting in that this scandal stuff is bigger than had been anticipated".
That is actually the realization that we are not "connected" with our "selves".
That is a refreshing realization".
That is, within each realization we sample without replacement.
But that's the realization of what could happen".
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com