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We determine the optimal size of teams and the optimal division of labor for a given set of assumptions about the underlying production environment.
When it is possible to assess the risk under a given set of assumptions, then the process of risk management may begin.
Thus, for a given set of assumptions, the impact of chemistry (or biology) group size can be assessed in terms of overall predicted productivity.
Bell shows that, under a given set of assumptions, certain of the correlations that can be measured in runs of an EPRB experiment satisfy a particular set of constraints, known as the Bell inequalities.
In all of mentioned researches, Sensitivity analysis is a technique used to determine how different values of an independent variable will impact a particular dependent variable under a given set of assumptions.
From the computational side, models of mitochondrial network organization can be generated based on any given set of assumptions.
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The main result is that although it is possible to generate some nontrivial explanations quickly, deciding if there is an explanation containing a given hypothesis is NP-complete, as is the task of generating even one explanation expressed in terms of a given set of assumption letters.
Since there are only finitely many different Boolean functions on a given set of inputs, the assumptions of this theorem imply a lower bound on the amount of bias we see in each regulatory function.
The standard assumption is a uniform distribution in space, and the sum of the detection probabilities over space turns out to be the effective sampling area of a given set of traps, provided this assumption holds (Borchers, 2012).
Significance tests of whether the coefficients take the value zero can be derived on the assumption that for a given set of values of the explanatory variables, y has a normal distribution with constant variance.
These assumptions could be violated for a given set of circumstances or location, and the potential degree of violation is not currently well constrained.
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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