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The phrase "In a precise sense" is correct and usable in written English
It can be used when you want to clarify or specify the exact meaning of something. Example: "In a precise sense, the term 'freedom' refers to the absence of constraints on an individual's actions."
Exact(14)
In particular, the equilibria we analyze are "conditionally" dominant strategy in a precise sense.
In this paper, we revisit this problem using a different approach, and provide a result that is simpler, more intuitive, and, in a precise sense, more general.
Conversely, Talagrand's inequality implies a logarithmic Sobolev inequality if the density of the measure is approximately log-concave, in a precise sense.
In particular, we show that in a precise sense agents in the structures considered by Levesque and Lakemeyer are perfect reasoners in NPL.
When economists talk about efficiency, they use the word in a precise sense quite different from what most people mean by it.
This includes the averaging of Hamiltonian as well as dissipative microscopic dynamics whose 'slow' variables, defined in a precise sense, can often display mixed slow-fast response as in relaxation oscillations, and dependence on initial conditions of the fast variables.
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A Theorem is proven that gives a precise sense in which strategyproofness in the large is not a very restrictive property.
With these characterizations in hand Zwart and Franssen go on to show that Arrow's famous theorem in social choice theory can be applied to obtain a surprising general result about truthlikeness orderings: that there is a precise sense in which there can be no compromise between the content and likeness approaches, that any apparent compromise effectively capitulates to one paradigm or the other.
When Carnap tries to specify a precise sense in which arithmetic is a "consequence" of a conventionally stipulated linguistic framework, the first incompleteness theorem forces him to employ a meta-language containing mathematics that goes beyond arithmetic (so as to ensure the bivalence of arithmetical truth).
Even though it is improper to talk about the principal type of a typable term if a and b are distinct type variables, then a → a and b → b are distinct principal types of I there is still a precise sense in which there is one and only one principal type of a typable term: a → a and b → b are simply (uniform) substitution instances of each other.
No doubt the intensity of his early religious training contributed to his capacity to let perpetual light shine upon the quotidian, yet this religious poet was inhabited by another who was, in a very precise sense, a secular Milosz, one afflicted by the atrociousness of the saeculum he was fated to live through.
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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