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Discover LudwigThe phrase "is uniquely determined" is a perfectly valid and usable phrase in written English.
It can be used when you want to suggest that something is defined in a singular, well-defined way that can't be mistaken for anything else. For example, "The ancient symbol's meaning is uniquely determined by its intricate design."
Exact(59)
The probability is uniquely determined if bel(A) = pl(A), and for the classical probability theory, all probabilities are unique.
The structure of a star is uniquely determined by its mass and chemical composition.
Moreover, by the axiom of extensionality, this set X is uniquely determined by ϕ(x).
Based on that, if the signal is timestamped, the controller's mode is uniquely determined.
Eudoxus said, in effect, that a point on the line is uniquely determined by its position among the rationals.
For such conditions, the Young's modulus is uniquely determined by the applied draw ratio.
In particular we prove that each measure μ of the class Mp is uniquely determined by its μ-capacity.
It is demonstrated that the final state is uniquely determined which is independent of the damping matrix.
We show that among all connected obstacles in R3, the sphere is uniquely determined by its resonances.
Since every word length (1-7 letters) is used, the order of the colors is uniquely determined: black, blue, gray, white, red, green, yellow.
To within experimental error, however, we found that the velocity and phase shifts remain constant, so that a soliton species is uniquely determined by its velocity.
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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