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"respective orders" is a correct and usable phrase in written English.
It is typically used to refer to orders that pertain to or are specific to individuals or groups. Example: The employees were given their respective orders for the day, with each person having a specific task to complete.
Exact(12)
The seclusion of the forested and mountainous flanks of the Casentino fostered a strong monastic tradition, and the communities at Camáldoli and at La Verna continue to be important centres for their respective orders.
Then, the analysis of the spatial arrangement of the detected rosettes, characterized by their respective orders, will reveal the underlying tiling and the mesh grid, together with the harmonious proportions of the design elements.
Indeed all LINEs sampled within these orders coalesce within their respective orders (with the exception of two tenrec sequences obtained from the database).
This assigned all 115 terminal taxa to their respective orders without specifying any further relationships.
The euascomycete PRP8 proteins group into their respective orders, all well separated from hemiascomycete PRP8 proteins.
Respective orders are legally covered by the self-administrative rights "Eigenvollzugskompetenz" of the German Armed Forces Medical Service regarding infectious disease prevention and control "Infektionsschutz".
Similar(48)
Tables 3 and 4 display the error and noise models, in their respective order.
exhibited tolerance to heavy metals in the respective order; Pb > Cu > Zn > Cr > Hg.
Other significant variables and their respective order of importance are also shown in this figure.
It shows that the increase of surface coverage is in the order of: InPzTAm > InPzTH > InPzPh, thus the adsorption of the inhibitors are also in that respective order.
Let ( E, ‖ · ‖ ) be a real Banach space with θ as the zero element and a solid cone P with the respective order ⪯.
Related(20)
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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