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The phrase "a linear operation over" is correct and usable in written English.
It can be used in mathematical or technical contexts to describe a function or transformation that satisfies the properties of linearity applied to a specific set or space.
Example: "In this study, we will analyze a linear operation over the vector space to determine its properties."
Alternatives: "a linear transformation on" or "a linear function of".
Exact(1)
Since x 3 is fixed and the squaring is a linear operation over (mathbb {F}_{2}), we see that symmetrization leads to a much simpler polynomial.
Similar(59)
And squaring it is definitely not a linear operation.
We'll be wrong, but not by much; addition, as a linear operation, is pretty forgiving.
For linear STBCs, the codeword matrix X can be obtained through a linear operation [7]: vec ( X ) ~ = G s ~, (3).
Note that the above blurring filter is a typical linear filter and its filtered value is determined by inner-product, which is a linear operation.
The precoding strategy at the BS includes an encoding operation and a subsequent linear operation with a filter matrix.
There are a few side quests but for the most part it's a pretty linear operation.
A non-linear operation transforms a floating-point signal into an integer signal.
However, in such a graph, path following would be a non-linear operation.
This is linear operation.
Moreover, we have a very particular case of a square symmetric operation when T is a linear space over a field K and ∗ is defined by s ∗ t : = C s + D t + u, s, t ∈ T, (31).
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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