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Firstly, we define an order for differential forms.
In physical systems, we can define an order parameter.
For our problem, we define an order at which candidates are visited for examination.
Next, in order to prove a coupled fixed point results in partially ordered set, we need to define an order relation on the set X × X.
Define an order relation ⪯ on X as x ⪯ y ⇔ x = y or [ x, y ∈ { 0 } ∪ { 1 n : n = 2, 3, … } with x ≤ y ], where ≤ is usual order.
All data are not of the same quality; therefore, it is advisable to define an order of preference between data sets.
Similar(49)
We define an order-theoretical model that gives a unified mathematical formalisation of all the above aspects of the synchronous methodology and characterises the essentials of the synchronous paradigm.
Define an ordered pair by (3.15).
Hierarchical clustering algorithms also use similarity measures to define an ordered set of elements.
The authors define an ordering by using a cone, which naturally induces a partial ordering in Banach spaces.
Define an ordered relation ≤ on X by x ≤ y iff x ( t ) ≤ y ( t ), ∀ t ∈ [ 0, T ].
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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