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The phrase "a unique value for" is correct and usable in written English.
It can be used when specifying a distinct or singular value associated with a particular variable or parameter in various contexts, such as mathematics, programming, or business.
Example: "The algorithm requires a unique value for each input to ensure accurate processing."
Alternatives: "a distinct value for" or "a singular value for".
Exact(35)
"They built something fast that has a unique value for the industry".
This model-based development method has a unique value for rapid prototyping.
Under cathodic protection, the active area increases and the residual corrosion rates tend to a unique value for all coupons.
The result is a unique value for each municipality that we use as a measure of the "diversity" of a municipality.
We then define a unique value for the approximate trace by enforcing the continuity of the normal component of the flux across the element boundary; a global equation system solely in terms of the approximate trace is thus obtained.
which gives a unique value for z in the generic case.
Similar(25)
Sáez and Rittmann (1988, 1992) presented the following set of parametric equations, which give a unique value of J* for each value of S* > ( S_{text{min} }^ ).
In the first case they exist for a unique value of the parameter (current) while for the second case, stable structures are observed for a certain interval of values of the parameter (voltage).
We thus report results obtained for a unique value of the angular velocity of the table, ω= 2 rpm.
Contrary to this, if the peak velocity of 17.3 cm/s (triangle symbol) is chosen, for a unique value of propulsive wavelength at 1.45 cm, there exist two TBF values at 1 and 1.15 Hz.
All estimates would turn around a unique value of Sn and a unique value of Sp. In reality, for a same technique, Sn and Sp may vary in time, with different populations, with different operators or any other relevant conditions that change the nature of the test.
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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