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The phrase "availability of the unique" is correct and usable in written English.
It can be used in contexts discussing the presence or accessibility of something distinctive or one-of-a-kind.
Example: "The availability of the unique resources in this area has attracted many researchers and innovators."
Alternatives: "accessibility of the distinctive" or "presence of the singular".
Exact(3)
As Facebook noted in its blog post announcing the upcoming availability of the unique addresses, it's not possible to change or transfer vanity URLs.
In Thermus, the DNA transformation is facilitated by availability of the unique DNA uptake system [ 8].
One strength of the present study was the availability of the unique civil registry number, which allows linkage of the individuals registered in the registry database to the national population registry.
Similar(57)
The following guidelines on access to the material are in place to ensure the security, preservation and continued availability of these unique and irreplaceable collections.
Availability of these unique antibodies allowed us to analyze the molecular structure of HS codeposited with A β in the brain.
This flexible approach allowed the management of the center to take advantage of opportunities as they arose (e.g. the availability of a unique staff candidate, or accommodation to bureaucratic needs of the Ministry of Health).
Second, to expand the availability of unique sites in the MCS of existing pRS plasmids, we have mutagenized the S. cerevisiae genes ADE2, HIS3, TRP1, LEU2, and URA3 using a strategy similar to that used during the construction of the YXplac series (Gietz and Sugino 1988).
Thanks to the availability of a unique database described below, we are able to quantify these dynamics.
Each column of delineates the availability of a unique environmental cue, transcription factor, target gene or protein [ 3, 45].
In Denmark, the availability of a unique identifier allows unambiguous, deterministic linkage of records for each woman.
This study is facilitated by the availability of a unique Western Australian health information system which allows identification and linkage of hospital admission and deaths records pertaining to single individuals, thereby providing a complete event history for CHD patients [ 12].
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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