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The phrase "sphere of function" is correct and usable in written English.
It can be used in contexts related to areas of expertise, roles, or responsibilities within a specific domain or field. Example: "In the sphere of function of a project manager, effective communication and organization are key to success."
Exact(1)
In the sphere of function and technique, the architect is responsible to the patterns of his culture on one hand and to the patterns of technology on the other; but, in the expression of form, he is free to communicate his own personality and concepts.
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Our interview findings with 48 breast surgery patients indicate that breast surgery procedures can clearly affect a woman in multiple spheres of function and quality of life.
For every nonnegative integer k, we define a Markov operator MX(k) acting on the space H(k) of the restrictions to the sphere of polynomial functions on Rn which are homogeneous of degree k and harmonic as follows: MX k)=1|X|∑x∈Xπ k)(rx), where π(k) is the natural representation of O(n) on H k), and rx is the reflection fixing the hyperplane orthogonal to x.
Figure 9. Position of the center of the sphere as a function of time.
There are differences of status and power between the gods, of function and sphere of influence, but they are all equally divine.
Success in college admissions, as in almost every sphere of life, is a function of some combination of ability, connections, persistence, wealth, and special markers — that is, attributes valued for the difference they make to "the mix".
Forward-scattering, Back-Scattering and Extinction efficiencies of nihility sphere as a function of μ 1 when coated with metamaterial by considering following parameters ϵ 1 = − 2.54, a = 0.4 × λ, b = 1.5 × a, f = 1GHz are compared with PEC and PMC sphere as shown in Figs. 13, 14 and 15 respectively.
To conservatives like Mr. Fukuyama, government wore out people's trust by extending its sphere of actions beyond essential functions like national defense to thorny social problems like poverty and racial injustice, which were much harder to solve through government action.
Figure 4 Histogram showing sizes of silica spheres as a function of mixing ratio of PMMA/silica sol.
In Figure 7 we show the number of steps per particle per unit time (N_{mathrm{step}}) for a plummer sphere as a function of N (top panel) and as a function of (r_{mathrm{cut}}) (bottom panel).
According to the autonomous model, local governments are a separate sphere of government with a primary function to secure democratic participation and the efficient provision of local services.
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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