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The phrase "as first demonstrated" is correct and usable in written English.
It can be used when referring to an initial presentation or proof of a concept, idea, or method.
Example: "The results of the experiment align with the theory, as first demonstrated in the 1990 study."
Alternatives: "as initially shown" or "as originally presented."
Exact(31)
As first demonstrated for [177Lu]pentixather, the pentixather scaffold is substantially less sensitive towards structural modifications than pentixafor (Schottelius et al. 2015; Herrmann et al. 2016).
Vapor-liquid-solid (VLS) is the most widely used method to synthesize NWs, as first demonstrated in the original work of Ellis and Wagner [11], and Au is the most widely studied metal catalyst for VLS growth [12 15].
In the 21st century, it has become possible to apply bacterial artificial chromosome (BAC) technology to poxviruses, as first demonstrated by B. Moss' lab in 2002 for vaccinia virus.
The important advantages of this approach, as first demonstrated in Dai et al. [13] for the KP equation, are that the solution profiles can be explicitly plotted and by using suitable asymptotic limits multisoliton solutions can be deduced from the quasi-periodic solutions.
As first demonstrated in Salmonella, these proteins are essential for bacterial growth within professional phagocytes, such as macrophages [42].
As first demonstrated for BCI and confirmed here for LFDP even though the frequency of correct identification is highest for matK, the lower sequence recovery rates for this locus results in an overall poorer performance in species identification (Table 2).
Similar(28)
He is fuelled by the creative process of looking and experimenting, as he first demonstrated with the Lurie Garden in Chicago.
Around the world, text messaging has become the tool of those dissatisfied with the political status quo, as was first demonstrated in the Philippines in 2001 when protesters organized themselves via cellphone to overthrow President Joseph Estrada.
The use of magnesium borates can yield B-doped CNT (Figure 4) as was first demonstrated by Bystrzejewski et al. [33, 34]. Figure 4 Energy filtered TEM images of carbon nanotubes produced from phenylboronic acid in a MgO matrix.
As Carl Woese first demonstrated over 30 years ago, the evolutionary history of organisms is embedded in their DNA [1].
This discrepancy between utrophin protein and mRNA levels occurs also under other conditions, as we first demonstrated in muscle fibers of DMD patients and regenerating mouse muscle fibers [14].
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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