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"principles of uniqueness" is correct and usable in written English
You can use it to refer to a set of rules or ideas that set someone or something apart from others. For example, "The company prided itself on its principles of uniqueness; no two products were ever exactly alike."
Exact(1)
A system of social relations, which values human's creative nature and is based on the principles of uniqueness of each individual and provision of equal opportunities for all, creates an environment favorable for most positive social and economic changes.
Similar(59)
By applying this principle of uniqueness to human beings, he thereby precluded their absorption into a group consciousness or absolute mind.
On the other hand, he is still inclined to ask whether there might be some principle of uniqueness according to which elementary logic is the only solution that satisfies certain natural requirements on what a logic should be.
The post-Bloomfieldians made the assignment of phones to phonemes subject to what is now generally referred to as the principle of bi-uniqueness.
The principle of bi-uniqueness was also held to imply that, if a given phone was assigned to a particular phoneme in one position of occurrence, then it must be assigned to the same phoneme in all its other positions of occurrence; it could not be the allophone of one phoneme in one context and of another phoneme in other contexts.
Family physicians needed to actively advocate for their specialty based on clearer roles, specific models and contributions based on the principles and uniqueness of family medicine, and evidence: "It's about fighting for that space and how do you fight for space?
Based on a basic property of the p-Laplacian operator and the Banach contraction mapping principle, the uniqueness of solutions for the fractional order differential equation is established for the cases p > 2 and 1 < p ≤ 2. MSC:26A34B104B10.
By the contraction mapping principle, the uniqueness of the solution for the inverse problem is proved.
A gradient elasticity theory is proposed, whereby the dynamic evolution problem for assigned initial and boundary conditions is shown to admit a Hamilton-type variational principle; the uniqueness of the solution is also discussed.
In principle, the uniqueness of the triplet patterns associated with the dibromide and dichloride motifs could facilitate the identification of tagged peptides from complex proteolytic digests.
Topics are selected from first-order quasilinear equations, classification of second-order equations, with emphasis on maximum principles, existence, uniqueness, stability, Fourier series methods, approximation methods.
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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