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The phrase "without any instance" is correct and usable in written English.
It can be used when referring to a situation or condition that occurs in the absence of specific examples or occurrences. Example: "The experiment was conducted without any instance of contamination, ensuring the results were valid."
Exact(1)
To avoid their derivation, as in Adams' logic, the rule of necessitation is restricted to theorems that are provable without any instance of E!. Model-theoretic actualists differ dramatically with Adams on the underlying propositional base of modal logic.
Similar(59)
Our study suggests that Gelfoam pledgets are the embolic agent of choice, as they provided effective proximal occlusion with a low rate of collateralization, and without any instances of operative cholecystitis.
And this is because, if other theoretical properties make a difference to the application of a particular theory, then the observational consequences of that theory cannot be assumed to obtain in any instance without provisos about other theoretical properties beyond those specified by the theory, which requires separate investigation on the basis of observation, measurement, and experiment.
All remaining fractures healed uneventfully without any reported instances of infection, pseudoarthrosis, or implant failures.
Not only must (b) be properly taken to represent the semantic precision of 'F' but we must also be prepared to admit that some existential statements can be true without having any true instance, thus blocking any inference from (a) to (b).
In wireless ad hoc networks, multiple nodes simultaneously try to access the channel without any central control instance.
When inhibition was considered (n = 1), the increase in superoxide was further attenuated, such that superoxide levels, even in complete knockout mutants without any other (for instance genetic) compensation, at most rose approximately 3 fold (Figure 8 bottom).
They said it was possible for people to be transferred from one base to another without any record of instances of sexual harassment to be noted.
Do that without a single instance of harm, without rationing effective care, without excluding needed services for any population you serve".
Those failures include the horrendous disregard for the safety of our children in too many instances without any accountability; carelessness in public statements on highly complex pastoral issues; poor process and failures of common courtesy in disagreements with people of good will inside or outside the church; and now silence as the sisters are dragged under a cloud.
Fever was confirmed in only three instances without any detectable association with a particular pathogen group (Table 7).
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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