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Generally, if we consider Arrow's framework appropriate and his conditions indispensable, Arrow's theorem raises a serious challenge.
The vertex is activated in a situation when an incidence moment value and a threshold value representing conditions indispensable for the event to occur are equal.
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On this evidence an analysis and evaluation of diverse conversion technologies for biomass usage with different boundary conditions is indispensable.
Nevertheless, a continuous state stochastic approach can sometimes be more appropriate especially in cases when input fluctuations are of the same order as the time scale of the system and in such cases an accurate treatment of the boundary conditions is indispensable for the successful application of the method.
In general, some extra condition is indispensable for the inverse coefficient problem.
However, we think that cultivation with AKI-SW condition is indispensable for accurate judgment of toxigenicity because, for example, in our case, 1 out of 15 toxigenic strains was missed with monophasic culture condition.
Fabius listed the other "indispensable" conditions as enduring constraints on Iran's capacity to carry out research and development, and rigorous inspection of all suspect sites, including military facilities.
Freedom of inquiry in the search for truth, the freedom of thought to speak one's mind -- these are the indispensable conditions of any university worthy of the name.
Furthermore, an analysis of the course of the process under isothermal conditions as those indispensable for the appropriate choice of the optimal conditions has been presented.
According to Lacan, one of the (if not the) most significant and indispensable conditions of possibility for singular subjectivity is the collective symbolic order (sometimes named "the big Other," a phrase to be unpacked further shortly—see 2.3 below).
He argued that denying the value of successful agency and action is not an option for a human being; having a life requires regarding the indispensable conditions of agency and action as necessary goods.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com