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For the 1-D formulations, all the inf sup conditions are satisfied, for both the continuous and discrete statements (assuming proper selection of the polynomial spaces for the main variables).
Transcripts were entered into NVivo qualitative analysis software and then segmented into manageable units or discrete statements by participants that encapsulated a single thought or idea (Gee 1986).
For review articles where discrete statements are less applicable a statement should be included who had the idea for the article, who performed the literature search and data analysis, and who drafted and/or critically revised the work.
We divided the contents of complete response letters into discrete "statements" describing specific application deficiencies.
In the second round, responses were summarised into 66 discrete statements that participants rated on the basis of importance.
For each of the three questions posed to the Panel in Round 1, the researchers independently segmented each panellist's responses into a series of discrete statements.
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Egan conjures a mood of poignant immediacy with these discrete, disconnected statements, as she does with the text messages that stud the final section.
Zorn's freewheeling, ecumenical approach often invites comparisons with Frank Zappa, but Zorn has more in common with conceptual artists such as Joseph Beuys or Carl Andre – making discrete artistic statements with materials in which he feels comfortable.
In fuzzy logic, which has found wide utility in industrial control systems, a set of user-defined functions transforms discrete logic statements into relationships between continuous inputs and output levels.
According to the theoretical results in Hu et al. (2013), we have the following statements for discrete MOOPs.
At the completion of the course, students will feel comfortable writing mathematical proofs, reasoning about discrete structures, reading and writing statements in first-order logic, and working with mathematical models of computing devices.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com