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Theorem 3.1 can be established for more general classes of functions such as F1-pseudoconvexity and F2-pseudoconcavity, and G1-pseudoconvexity and G2-pseudoconcavity on the functions involved in the above theorem.
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And yet the advantages of diversity have been established for more than a generation.
Medellín is also known for its textiles industry, which has been established for more than a century.
The relative importance of contributing variables was clearly established and an optimum set of conditions was established for more uniform enrichment in a single analysis for a test mix of compounds with wide ranging polarities.
(We state the definition and theorem here only for finite graphs; these results were established for more general graphs in [36], and the general version will be discussed below).
During the first phase of this programme, a toxicological profile was established for more than 300 chemicals whose toxicological behaviour is known from in vivo tests, and these profiles were stored in the database as validation set [47].
Mixed methods research (MMR) has been established for more than 50 years as a methodological approach in the social and behavioural sciences and is now well accepted and commonly used in health sciences [2, 3, 4].
"Most of these university towns have been established for more than 100 years, and so they have sort of like a micro-economy going on within the greater city".
(It is perhaps no accident that the Royal Society for the Prevention of Cruelty to Animals was established for more than half a century before the National Society for the Prevention of Cruelty to Children, which appears to have been founded as a rather derivative afterthought).
These have been established for more than 20 years with the addition of Gilwell 24 in 2004 and are some of the largest annual Scout events in the UK.
Furthermore, a network involving authors, topics and words was established for more detailed bibliometric analysis.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com