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The phrase "article established that" is correct and usable in written English.
It can be used when referring to findings or conclusions drawn from a specific article in academic or formal writing.
Example: "The article established that there is a significant correlation between exercise and mental health."
Alternatives: "the article concluded that" or "the article demonstrated that".
Exact(2)
The article established that there were 11 institutions at risk of financial failure up to the end of 2004, but that the Higher Education Funding Council (Hefce) was refusing to name them.
Nevertheless, this article established that an optimal resource allocation in such a scenario is an NP-Hard problem and proposed a heuristic algorithm to achieve a sub-optimal resource partitioning in REN for the considered mode of operation.
Similar(58)
The article establishes that there is no overarching consensus within the three religions.
Numerous sources, most notably Woodward's book and articles, establish that the sequester strategy originated with Pres.
Its 33 articles establish that the purpose of DNA databases is to enable (Art. 7): - the collection of DNA profiles of: individuals who commit a crime (as detailed in Art. 9); biological evidence found at crime scenes; missing persons and their relatives; unidentified bodies or parts thereof; and the comparison of DNA profiles for personal identification purposes.
It is important for me to begin this article by establishing that without doubt, most of the stories of bullying that are shared with me are horrifying and some are unspeakably cruel.
It is important for me to begin this article by establishing that without doubt, many of the stories of bullying that are shared with me are horrifying and some are unspeakably cruel.
In the same article, the authors establish that LiSIDER2s bear only one of the two 79 nt signature sequences that characterize the 5' of LmSIDER2s, and that the syntenic arrangement of SIDER2s is shared only between L. major and L. infantum (with regards to chromosome 32).
52 Likewise, in the case of the right to communicate works through the making available to the public, Article 3 of Directive 2001/29 establishes that right for authors, as regards their works, and for producers of the first fixations of films, as regards the original and copies of their films.
Finally, Sect. 4 is devoted to proving the main result of this article (Theorem 1) where we establish that ||D δ f|| p and ||f|| δ,p are equivalent when the fractional differentiation D δ is defined for δ > 0. In this section we set some notations and we recall some basic results in harmonic analysis related to Laguerre hypergroups (see [4 6]).
However, in a previous article, we established that the diffusion may admit several invariant probabilities, provided that the external force derives from a non-convex potential.
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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