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The phrase "a partial order" is correct and usable in written English.
It is typically used in mathematical contexts, particularly in set theory and order theory, to describe a binary relation that is reflexive, antisymmetric, and transitive.
Example: "In mathematics, a partial order is a relation that allows for some elements to be comparable while others are not."
Alternatives: "a partial ranking" or "a non-total order".
Exact(60)
A set with a partial order ⪯ is called a partially ordered set.
Let ⪰ be a partial order on B satisfying that ( B, ⪰ ) is a partially ordered vector space.
The description should state that the billing is for a partial order.
However, each direction induces a partial order in which this computation can proceed.
Inheritance is modelled by a type graph T that comes equipped with a partial order.
An MSC defines a partial order on the communication events between these entities.
A program execution is modeled as a partial order with multiple nesting relations.
We further show that a partial order exists for the LTEs.
Let be a partial order relation on.
Note that ⪯ is a partial order.
Let ⪯ be a partial order on X.
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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