The phrase "are generalized in the" is correct and usable in written English.
It can be used when discussing concepts, theories, or findings that are applied broadly or made more general in a specific context.
Example: "The results of the study are generalized in the context of urban populations, suggesting that similar trends may be observed in other cities."
Alternatives: "are applied generally in the" or "are made general in the".
Thereafter, the system reliability bounds of the parallel systems are generalized in the copula framework.
The parameters describing the characteristics of the one-mode configurations derived in the companion paper are generalized in the complex configurations studied herein.
The results obtained are generalized in the form of the patterns of flow and heat transfer at the finned tube surface, including seven characteristic regions and four types of flow separation.
In Section 4, some well-known results are generalized in the remarks.
The concepts of -cyclic nonexpansive self-mapping and -cyclic -contraction are generalized in the following.
Recently, both constants are generalized in the following ways for (see [12, 13]): (2.2).
The implemented classes take a single double as a coordinate, but this could be generalized in the future.
Pain is generalized in the upper abdomen and is continuous, but it progressively subsides over two or three days.
The attribute significant from design testability is called 'class interaction' and is generalized in the notion of testability anti-pattern: it appears when potentially concurrent client/supplier relationships between classes exist in the system.
For similar reasons, the total least squares (TLS) method has been generalized in the field of computational mathematics and engineering to maintain consistency of the parameter estimates in linear models with measurement errors of known distribution.
Based on a space time Taylor expansion, this idea is already inherent in the MUSCL finite volume scheme to get second order accuracy in time and was generalized in the context of higher order ENO finite volume schemes.
