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But as a foundation for analysis it is highly subjective: it rests on difficult decisions about what counts as a territory, what counts as output and how to value it.
Hilbert provided such an axiomatization in (1900b), but it became clear very quickly that the consistency of analysis faced significant difficulties, in particular because the favored way of providing a foundation for analysis in Dedekind's work relied on dubious assumptions akin to to those that lead to the paradoxes of set theory and Russell's Paradox in Frege's foundation of arithmetic.
Such methods could serve in a twofold manner: (1) in providing a foundation for analysis of heat pump economic and energetic saving potentials in different industries, and further (2) in giving directions for experimentalists and equipment manufacturers to adapt and develop heat pump equipment to better fit the process needs.
This work provides insight into the potential impact of MITEs on epichloae evolution and provides a foundation for analysis in other fungal genomes.
We set out to identify maize SUN genes to provide a foundation for analysis of meiosis and other nuclear processes in plants.
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A FEA study of coating/substrate bilayers is conducted as a foundation for damage analysis.
This strain field information provides a foundation for the analysis of synergetic effects in hybrid composites.
The method is postulated to be a foundation for conformal analysis based design of heterogeneous waste form materials.
The interviews were carried out to further gain insight into the factors, issues, and concerns about the migration decisions, as well as developing a foundation for further analysis.
To prove Theorem 1.1, we need the following key lemma given by Chirst [23], which provides a foundation for our analysis.
The global bifurcation is important especially when nonconstant positive solutions are concerned, and our results provide a foundation for further analysis on the shadow system (1.1), compared to the local branches, which have been investigated in detail in [1].
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