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The phrase "a preferred basis" is correct and usable in written English.
It can be used when discussing a favored or chosen foundation for making decisions or comparisons in various contexts, such as finance, research, or policy-making.
Example: "We will evaluate the project's success on a preferred basis, focusing on the most relevant metrics."
Alternatives: "a favored foundation" or "a chosen framework".
Exact(8)
Forstmann had already been drawn into the contest on a preferred basis, so the result of the lock-up was not to foster bidding, but to destroy it.
Let β1 be a preferred basis of Λ1 and β2 a preferred basis of Λ2.
We refer to as a preferred basis of.
Then we refer to {b1,..., b n } as a preferred basis of Λ. Definition 6.2.
If is a preferred basis of, then can be regarded as a basis for the vector space.
In particular, if is a lattice of, then every preferred basis of becomes a preferred basis for the vector space.
Similar(52)
Then has a block matrix, with respect to any preferred basis of, of the form (3.6).
More generally, each term in state of the universe, as represented in a certain preferred basis, reflects the states of its systems in some class of worlds; where the range of the different classes of worlds increases whenever the number of the terms in the quantum state (in the preferred basis) increases (this process is called 'splitting'splitting
A Galaxy poll published in the Herald Sun on Friday showed Labor ahead 52%to48%8% on a two-party preferred basis, a consistent result for the past three months.
He was defeated by Labor's Chloë Fox, who received a 14.4 percent swing on a two party preferred basis, the largest in the state.
On a two-party preferred basis the Coalition is ahead 53-47, based on second preferences from the 2013 federal election.
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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