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The phrase "categorically by" is grammatically correct and can be used in written English.
It is often used to indicate that something is done in a clear and definite manner, without any room for doubt or ambiguity. Example: The CEO categorically denied any involvement in the embezzlement scandal, stating that all financial decisions were made by the company's board of directors.
Exact(24)
The results of elections in 1990, won categorically by the NLD after energetic campaigning, were ignored.
For Sydneysiders, beaches and rock pools are divided categorically by the Harbour Bridge.
That was denied categorically by the Department of Health, though the press office would not comment on whether she was still entitled to brief journalists.
I was mistaken … I was told categorically by Jeremy Hunt, 'We will not be cutting funding.'" Hunt would later tell him: "We are in a different world now".
Mr. Hobbs recalled, "When it came up for auction at Christie's 11 years ago, Gayfryd called me about it, and I told her to buy it because she would never have a chance to buy something categorically by Channon again".
Ideology Yet if the hardcore leadership is facing significant challenges and the affiliates are suffering, there are still concerns that al-Qaida's ideology, though rejected so categorically by populations across the Islamic world, still poses a significant threat.
Similar(36)
The almost identical results for CVD between regressions on the same outcome variable implies that treating the post-index time continuously or categorically year-by-year had little difference on the coefficient of interest.
To systematically define material selection criteria, dust interaction can be characterized by two-body or three-body abrasion testing, and sub-categorically by physical interactions of compression, rolling, sliding, and bending representing specific applications within the system.
The idea has long been cherished by European federalists, but categorically resisted by London.
Where are their casualties?" Meanwhile, the claim that the airstrike was cleared by Pakistani authorities was categorically denied by Pakistan which claimed that the attack continued for two hours, even after Pakistani officials alerted coalition forces to stop.
But whereas aircraft losses could be categorically denied by the British - simply by counting their planes - there was obviously some room for doubt as to how much damage had been done on the airfield.
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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