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The phrase "as normally defined" is correct and usable in written English.
It can be used when referring to a standard or common definition of a term or concept.
Example: "The term 'sustainability' is often understood as normally defined in environmental studies."
Alternatives: "as typically defined" or "as commonly defined".
Exact(4)
But Monday's carnage was the first act of terrorism, as normally defined, in the US in a dozen years.
The results reported in Table 4 reveal that even with our "relaxed" coding scheme, whereby any natural science PhD degree held by any coauthor or coeditor is treated as indicating (at least potentially) relevant scientific expertise, only 39% of the total 108 denial volumes are authored or edited by individuals with scientific credentials as normally defined in academic circles.
The rail fare "freeze" pledge lasts an entire parliament rather than Labour's solitary year, although for a "freeze" read an increase in line with RPI - a rate that has exceeded inflation as normally defined, as well as pay rises, during the last parliament.
DSBs have also been mapped to 76 much narrower sites on S. cerevisiae chromosome 3 [ 42], but many of these had very low levels of DSBs and may therefore indicate background recombination events rather than hot spots as normally defined, so we analysed them separately.
Similar(56)
Most seats in these categories are in the western suburbs of Sydney and Melbourne, although in Sydney they include seats closer to the city such as Bennelong, Reid, Banks and Barton (seats not normally defined as "western Sydney") and in Melbourne the south-eastern seat of Hotham.
A fully featured Forth system with all source code will compile itself, a technique commonly called meta-compilation by Forth programmers (although the term doesn't exactly match meta-compilation as it is normally defined).
Mean Sea Level is normally defined as the average relative sea level over a period, such as a month or a year, long enough to average out transients such as waves.
Postdoctoral Fellowships are not normally defined as sponsored projects.
Just compensation is normally defined as the fair market value of the land or interest taken.
But "risk" is not normally defined as embracing deliberate deception by brokers who twist their research to curry favor with investment-banking clients, thereby abusing investors' trust.
Creativity is normally defined as the process to create something new and valuable.
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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