The phrase "a basis for ordering" is correct and usable in written English.
It can be used when discussing the foundational principles or criteria that guide the arrangement or classification of items, concepts, or processes.
Example: "The research provided a basis for ordering the various species according to their evolutionary relationships."
Alternatives: "a foundation for arrangement" or "a framework for classification".
As a matter of law, the Circuit Court made five independent findings, each of which standing alone, is sufficient to support the verdict: First, the Circuit Court determined that appellants had failed to establish a legal basis for ordering a recount.
It is the established law of Florida, as reflected in State v. Smith, that where changes or charges of irregularity of procedure or inaccuracy of returns in balloting and counting processes have been alleged, the court must find as a fact that a legal basis for ordering any recount exists before ordering such recount.
The allegations against eight of the officers were deemed hearsay by the department and not a legal basis for ordering the officers to take urine tests, the Chief said.
First, each of the aligned genomes can be chosen as a basis for an ordering.
A declination under this paragraph shall not serve as the sole basis for ordering a deposition under section 849 of this title (article 49).
The spreadsheet is the basis for ordering mice for testing, but it is not the thing to use for daily work.
We exploit this structure to improve principal component regression algorithms that empirically infer a low-dimension basis for ordered SNR.
It follows from the proof of Theorem 6.1 that the collection B ′ = { ( x − c, x + c ) : x, c ∈ Y, c ≻ 0 }. is also a basis for the order topology τ on Y. Theorem 6.2 Let ( Y, ⪯, ≺, → ) be a solid vector space and let τ be the order topology on Y.
Carter used the 2017 homeless count — which identified 2,584 unsheltered people — as a basis for his order in August that the county provide housing for at least 1,550 people.
Using the zebra finch genome as a basis for gene order, Lundberg et al.[ 39] identified a region on chromosome 3 that was highly differentiated between willow warblers in the Scandinavian mountains and the rest of Fennoscandia.
