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It can be checked that a submartingale is a demisubmartingale (cf. [[1], Proposition 1]).
It can be checked that a submartingale with the natural choice of σ-algebras is a demisubmartingale, but the converse statement cannot always be true.
Prior to conducting DIF analyses, it should be checked that a scale is unidimensional.
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It is known that ({X_{n}}) is a moving average process with order p. It can be checked that ({X_{n}}) is a ρ̃-mixing process.
It is checked that a module is signed already.
As control, it was checked that a lack of TdT in the TUNEL mix completely abolished labelling.
Actually, it can easily be checked that the pair (A, C) is observable.
It can be checked that f is a continuous interval-valued function in t and x, and it satisfies the conditions as in Theorem 6.7.
Similarly, equation (b) defines Q 11 but it remains to be checked that this definition is that of a symmetric matrix.
On the other hand, it can be checked that (P_{(A+B)^{-1}(0)}f) is a contraction.
It can be checked that A〈Z〉=〈A Z〉.
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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