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The following lemma will be important in the study of surjectivity of p-factor operators in the mentioned examples.
In each of the mentioned examples there appears to be an ontological dependence relation between the grounded entity and the grounding entity or entities.
This definition aligns with the mentioned examples as the staff, phone provider, and receptionist provides respective services to their current or even potential customers.
Vectors in vector spaces do not necessarily have to be arrow-like objects as they appear in the mentioned examples: vectors are regarded as abstract mathematical objects with particular properties, which in some cases can be visualized as arrows.
The mentioned examples show clearly that microfluidic technology is a practical tool to build up artificial microorgans.
This would help to place into context the mentioned examples of signature genes that match what is known in the literature.
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Again, we have solved the mentioned example in goal geometric programming with weighted sum method.
−For the mentioned example in the section 'Empirical data': The pre-processing is done by splitting up the national energy demand by population density.
Remark 4.1 It is easy to see that max { M 1, M 2 } < 1 holds for sufficiently small A > 0 and B > 0. One notes that α = 3 2, β = 7 4, p = 6 5, q = 3 4 in the mentioned example.
It's one of the most frequently mentioned examples of the "sharing economy" the internet is powering; instead of companies and professionals leasing out houses and hotel rooms, individuals can make a bit of extra cash by sharing their home.
Indeed, concerning the last of these frequently mentioned examples, The New York Times the other day reported a statistic: Half of the engineers working in Silicon Valley, that Grand Central Station of innovation and wealth creation in California, are foreign born.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com