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The phrase "a uniform notion" is correct and usable in written English.
It can be used when referring to a consistent or standardized idea or concept that is shared among a group or context.
Example: "In our discussions, we aim to establish a uniform notion of what constitutes success in our organization."
Alternatives: "a consistent idea" or "a standard concept".
Exact(1)
Even within philosophy, "convention" plays so many roles that we must ask whether a uniform notion is at work.
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He says that the Egyptians may have recognized the unity of the divine by "identifying their uniform notion of 'god' with a particular god, depending on the particular situation".
Recently, the notion of a uniform distribution has been applied in sequence spaces and the notion of statistical convergent sequences has been studied and investigated from different aspects by Rath and Tripathy [11], Tripathy [12, 13], Tripathy and Baruah [14], Tripathy and Dutta [15], Tripathy and Sarma [16], Tripathy and Sen [17], and others.
The familiar notion of a uniform national swing also looks dated.
Any notion of a "uniform swing" is largely academic.The Economist's poll tracker therefore does two things.
Surprisingly, Wall Street had, at least outwardly, been more receptive to the notion of a uniform fiduciary duty for both brokers and investment advisers.
It is this notion of a uniform diffusion layer that reduces the interference of hemispherical diffusion fields to a true two-dimensional problem so that Avrami's equation can be used correctly to describe the overlap of the planar diffusion zones.
To encode proteins of different sequence lengths with a uniform dimensional vector, we adopted the notion of pseudo amino acid composition (PseAAC) [19], [20].
Also, Medina and Pinto [29] applied the h-stability to obtain a uniform treatment for the various stability notions in difference systems and extended the study of exponential stability to a variety of reasonable systems called h-systems.
These examples nicely illustrates how category theory treats the notion of structure in a uniform manner.
Using a generalisation of Hamiltonian cycles to uniform hypergraphs due to Katona and Kierstead, we define a new notion of a Hamiltonian decomposition of a uniform hypergraph.
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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