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Then, a high dimensional problem can be decomposed into separable and non-separable components.
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Components of systems are decomposed into separate physical elements, while system behaviour is decomposed into discrete events.
The hospital's cost from providing healthcare can be decomposed into two separable parts.
Briefly, interested readers are referred to Behrman (2016) for a recent review of research using this approach; researchers begin by assuming that all variation in the outcome being investigated could be decomposed into additively separable genetic and environmental contribution.
Second, PCA of fMRI time-series assumes that the data can be decomposed into linearly separable spatio-temporal components.
In this state, the particles are entangled in a non-separable state (i.e., a state that cannot be decomposed into a product of separate states of the L- and the R-particle), in which (according to the property-assignment rules of orthodox quantum mechanics) the particles do not possess any definite z-spin (or definite spin in any other direction).
They're heeding the economist Joseph Schumpeter: "Innovations are changes... which cannot be decomposed into infinitesimal steps.
It can be decomposed into two terms.
First, interval can be decomposed into four parts as (3.10).
The following proof will be decomposed into two cases.
(19)/(20) can be decomposed into two independent problems (21).
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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