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The phrase "straightforward generalization" is correct and usable in written English.
You can use the phrase when you are wanting to describe the process of taking a specific idea or set of data and coming to a broad conclusion about it. For example, "Through a straightforward generalization, it was determined that the new law would benefit the majority of citizens."
Exact(36)
Kernelized version of CCA (KCCA) provides a straightforward generalization of CCA to nonlinear correlations by applying CCA to kernel-generated feature spaces.
In macroscopic studies, the same relationship can be derived by energy analysis31, but the force approach here permits straightforward generalization for the monolayers investigation.
The algorithm is a straightforward generalization of the splitting scheme, which solves the one-dimensional Vlasov-Poisson system.
In the last section of this paper, we give a straightforward generalization of the twin prime power construction of difference sets to a construction of Hadamard designs from twin Paley type association schemes.
The most straightforward generalization of this formula to the discrete version of the scatterer problem used in numerical computations does not allow the kernel to be inferred from a single numerical experiment a difficulty we call the multi-source problem.
The empirical nature of the well-known Ergun equation for prediction of the permeability of granular materials inhibits the straightforward generalization to other geometries of the pore space and non-Newtonian effects of traversing fluids.
Similar(22)
Many of the results were obtained as the straightforward generalizations of their local counterparts because the methods used for obtaining the mentioned results widely exploit the Hill's (1963) condition which holds for any compatible strain field and equilibrium stress field not necessarily related to each other by a specific stress strain relation.
The definitions are straightforward generalizations of their norm and metric equivalents [13, 15, 17].
The definition are straightforward generalizations of their norm and metric equivalents, [12, 15 17].
The definitions are straightforward generalizations of their norm and metric equivalents.
Two-locus explicitly defined score functions are concept-wise straightforward generalizations of one-locus ones.
More suggestions(15)
simple generalization
direct generalization
clear cut generalization
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straightforward hedonism
straightforward malfeasance
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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