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For (k=1) is obtained the generalized composition operator in [9], which was later studied or generalized, for example, in [10, 13 17].
It is known as the Calkin category of the field k, and its construction can be considerably generalized (for example, one can start with perfect modules over a arbitrary DG algebra (A_cdot ), embed it into the category of all modules, and take the quotient).
As a final comment, one might add that, as all surveys, the prevalence of the respondents' original country, namely the United States, may significantly influence final results that cannot be generalized, for example, to European clinicians.
The consequence of clustering leads to conclusions that are too generalized; for example, that black students will respond in a similar way to a treatment as do Latin@ students (Carpenter et al., 2006).
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The trouble is, he says, behavioral optometrists overstate their claims, generalizing, for example, from the evidence that vision therapy works for convergence insufficiency to validate all that they do.
To date, Lighthouse can distinguish between adults and children in a frame of video, but it's unable to generalize, for example, to find footage of someone cleaning your home.
This might be achieved by generalizing, for example, the majority rule consensus approach [ 18] to MUL-trees.
It is possible that data concerning consciousness on the basis of detectability judgments may not generalize, for example, to judgments regarding whether a stimulus is associated with a consciously accessible feeling state or not (cf. Grandjean and Scherer 2008).
They are generalized for DLs as follows: Positive example The output is a pair of an interpretation (mathcal {I}) and an element (x in C^mathcal {I}).
Most of the known examples of Banach homogeneous reductive spaces (see [AS2], [ARS], [CPR2], [MR] and [M]) are particular cases of this construction, which moreover generalizes them, for example, to representations of amenable, type I or almost connected groups.
These can be generalized for software development into three categories: building blocks, instructions and tools.
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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