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Equations (15) and (19) provide the relationship between a phase PDF, and the PRC that lead to it.
The ability to provide the relationship between a set of inputs and the corresponding outputs in a simple mathematical form accessible to the users is the main advantage of the GP over the ANNs.
If all the minerals present in the ore system are known (established through X-Ray Diffraction), the chemical formulae of the minerals provide the relationship between the chemical assays and mineral composition.
Scaling laws provide the relationship between a full-scale structure and its scale models and can be used to extrapolate the experimental data of a small, inexpensive, and easily tested model into design information for the large prototype.
Through the use of this model, the nucleation and growth of dendrites, the segregation of niobium (Nb) and the formation of Laves phase particles during the solidification are investigated to provide the relationship between the solidification conditions and the resultant microstructure, especially in the morphology of Laves phase particles.
This strategy allows the exposure response relationship to be tested on the whole cohort, while the detailed validation subsamples provide the relationship between different exposure measures.
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These equations provide the relationships between the state variables of the system and the inputs to the system.
Mappings provide the relationships between data stored in different sources, and therefore enable answering queries that require data from other nodes in a data-sharing network.
For assertions that are associated with controlled vocabularies such as the GO, links are provided to vocabulary browsers that provide the relationships between the assertion and other knowledge in that area of the ontology.
Figure8 provides the relationship between outage probability and outage capacity.
The equation provides the relationship between h=h N and u=u N inside the current.
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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