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The first few iterations of its Cayley graph are shown in Figure 12, where \(\{a, b\}\) is the set of generators and a right horizontal move between adjacent vertices represents composition with \(a\), an upward vertical move represents composition with \(b\), and leftward and downward moves represent composition with the inverse of \(a\) and the inverse of \(b\) respectively.
In some cases, the (varvec{phi } -vector represents the local volume fraction of the phases, while in others, (varvec{phi } -vectorents composition, vectorepresentsrientheion, polocalation, etc.
For instances, the inclusion of a solid diamond represents composition – the relationship of "owns"; the inclusion of a hollow diamond represents aggregation – the relationship of "has"; and the inclusion of a hollow triangle represents generalization/inheritance - the relationship of "is a".
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Figure 2 represents compositions of pyroxenes in NWA 2977 PTS 01-1 prontoted onto quadrilateral isotherms (Sack and Ghiorso 1994).
It is an experience-based algorithm that represents compositions in terms of a simplified set of normative minerals.
Table 1 represents compositions and amount of the modified mixture, which was applied for powder synthesis at each stage of chemical modification.
Figure 10 illustrates: red directed edges represent composition with \(\rr\) and black edges represent composition with \(\rf\).
The Cayley graph for \((S_{3}, \cdot, \{\rf, \rr\})\) is a graph whose vertices represent the members of \(S_{3}\) and two "colours" of directed edges, representing composition with \(\rf\) and composition with \(\rr\).
The framework for ELDMs based on the represented compositions and principal components is considered in this study, where the represented compositions are selected from the PCA results.
The straight lines indicate conodes joining points on the binodal curves that represent compositions of feldspars that coexist stably at the temperatures and pressures for which the diagrams have been constructed.
The network composition represents the composition ratio calculated for different types of contacts maintained by each respondent.
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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