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A graph G= V,E) is defined by a set of nodes V and a set of connecting edges E. The edges of an undirected graph have no fixed orientation and if labels are assigned to nodes or edges the graph is denoted as labeled.
We say that an invariant set Σ is a regular heteroclinic cycle if it consists of a union of equilibria and a set of connecting orbits s i ⊂ W u ( x i ) with W u ( x i ) ⊂ W s ( x i + 1 ).
Namely, we say an invariant set Σ is a heteroclinic cycle that contains all unstable manifolds if it consists of a union of periodic orbits and/or equilibria { x i : i = 1, …, p } and a set of connecting manifolds S i = W u ( x i ) with W u ( x i ) ⊂ W s ( x i + 1 ).
The proposed method establishes point-to-point correspondence represented by a set of connecting lines between two material directrices.
The minimal connecting network adds to the seeds a set of connecting nodes that are more reliably related to the reference GO term.
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This model is an STL file that describes the geometry as a set of connected triangles.
The desired trajectory of both vehicles in the proposed scenario is able to discretize into a set of connected nodes.
The LSS is viewed as a set of connected substructures so that the dynamic substructuring method can be applied to establish the equations of motion for the LSS.
A wire routing in the proposed method corresponds to a set of connected straight wire segments beneath a wall surface, and is represented by a graph G W = V,E), that contains vertices v∈V and edges e∈E.
In the ideal case, all the intracluster edges are preserved, while the intercluster edges are removed, leaving a set of connected trees corresponding to the desired clusters of interest points.
The cellular regulatory network consists of a set of connected pathways.
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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