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Input: An exemplary problem instance that is specified by cliques and the vertices' clique memberships.
Finally, we show how to apply it to an exemplary problem of austenite ferrite phase transformation.
In this appendix, we present a detailed example to illustrate the discussed algorithms, including the following: 1. Input: An exemplary problem instance that is specified by cliques and the vertices' clique memberships.
First, we introduce the projection-based interpolation operator, we explain some design considerations, useful for reproducing this work, then we present a benchmark problem used as a proof of concept and we conclude with numerical results for this exemplary problem, obtained with our implementation of the discussed method.
This section also includes the description of an exemplary problem (Section 3.1), and a generalized and simplified exhibition of Valiant's algorithm and its running time analysis (Section 3.3).
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Experiments show a reasonable speedup achieved by distributing the computations for some exemplary problems.
These exemplary problems-cum-solutions become the basis of a "paradigm" that defines what it is to do "normal science".
Drawing on experiments in the psychology of perception, Kuhn argued that the rigorous training required for admittance to a paradigm conditions scientist's reactions, expectations and beliefs (Kuhn 1962, 128; 2000 [1989], 66 71), so that learning how to apply the concepts of a theory to solve exemplary problems determines scientists' experiences.
Two additional exemplary problems (an Outside and a Multiple String VMT problems) are presented in the Appendix.
All those exemplary mentioned problems show that simple one-to-one translations of KEGG pathway maps to other formats are not sufficient to build reliable and useful models.
Stoppard puts the problem with exemplary clarity.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com