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Clearly, if the term is x or xx, that is of length 1 or 2, then there is only one way to form a term, that is, there exists just one possible term in each case.
For the case in which \(F_{p}\) is Pythagorean in form, namely the square root of a positive-definite quadratic form, there exists just one possible equivalence class [\(F\ ], because every function that is the square root of a positive-definite quadratic form can be transformed to the standard expression by means of a linear, homogeneous transformation.
That's simple, because there are just two cases that make the conditional true.
In this case, there exists just the fixed point θ + ∗ for the 1-dimensional map (23).
Today there exist only two.
As described in Remark 1, there exist seven cases for the two-source MARC.
"There was just one case when the goat given to Amur lived through the night.
For x k, there exist two cases as follows.
With this approach, there exist two cases of Shift.
Then, there exists two cases.
Then there exist two possible cases, i.e., x ′ ( t ) > 0 or (2.13).
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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