Exact(1)
Existing computational approaches for the assessment of cell-state hierarchies from single-cell data can be formalized under a general framework composed of (i) a metric to assess cell-to-cell similarities (with or without a dimensionality reduction step) and (ii) a graph-building algorithm (optionally making use of a cell clustering step).
Similar(59)
And finally it is shown how data association can be formalized in this framework.
Although this approach is easily extendable, the current version presents some limitations regarding the experimental information that can be formalized.
First, information about genes can be formalized within the map.
The metadata in XML files can be formalized as well-defined common data elements whose definition and usage semantics are explicitly described in an accessible, unique document.
This can be formalized as follows.
This idea can be formalized with a suitable topological space.
This sequential process can be formalized as follows.
This problem can be formalized using terms from graph theory.
Our approach can be formalized in the form of CFGs.
In its most general setting, the problem definition can be formalized using the following notation.
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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