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The phrase "analysis of the vertex" is correct and usable in written English.
It can be used in contexts related to mathematics, computer graphics, or any field where the concept of a vertex is relevant, such as geometry or data structures.
Example: "The analysis of the vertex revealed important information about the shape's properties."
Alternatives: "examination of the vertex" or "evaluation of the vertex".
Exact(2)
In this paper, we present a comprehensive empirical analysis of the Vertex Contraction (VC) algorithm for the problem of checking whether a directed graph with positive and negative costs on its edges has a negative cost cycle (NCCD).
Here we review the proposed modelling framework and illustrate it through the computational analysis of the vertex model that captures the salient features of the formation of the dorsal appendages during Drosophila oogenesis.This article is part of the themed issue 'Systems morphodynamics: understanding the development of tissue hardware'.
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In this talk I will consider explicit computations in the case of hypertoric varieties, where the quantum K-theory relation will arise from analysis of the bare vertex function.
We have applied the method exemplarily to the analysis of 3-vertex topological pattern instances in the transcription networks of a bacteria (E. coli), a unicellular eukaryote (S. cerevisiae) and higher eukaryotes (human, mouse, rat).
In our experiment, a separate analysis of the negative positive components of the vertex complex did not show that N2 and P2 amplitudes behaved differently, suggesting that cortical areas devoted to both cognitive and emotive aspects of pain are inhibited by sham stimulation.
The analysis of the betweeness centrality started from the Vertex variant (VBC), and clearly showed how, in the comparison between the two phenotypes of migraine, the stimulation with both spatial frequencies caused the parietal-occipital areas to be more central in MA compared to MO of about 35% in the higher frequency bands (alpha and beta).
We have applied this method exemplarily to the analysis of 3-vertex topological patterns and their instances in the transcription networks from a bacteria, yeast and mammals.
Given fuzzy input parameters, the performance of a shield-driven tunnel will be uncertain, which is expressed in this study as a fuzzy factor of safety, according to the analysis of vertex method.
Subsequently, we apply this approach exemplarily to the analysis of 3-vertex topological patterns in transcription networks from different organisms: a bacterium (E. coli), a unicellular eukaryote (S. cerevisiae) and higher eukaryotes (mammals, mainly human, mouse, and rat).
In terms of the vertex notation in interval analysis, a new mathematical proof of the vertex solution theorem which is used to determine the supremum and the infimum of the static responses of structures with bounded uncertainties is given.
The objective of the DTI analysis was to measure FA in the WM underlying specific regions using a vertex-wise analysis of the registered group data.
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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