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Sidereal time may be defined for any place on the Earth, but in the international system used by astronomers each sidereal day begins at the instant the vernal equinox transits the prime meridian.
Thus, a characteristic apparent viscosity may be defined for any non-Newtonian model, even for one that does not present a characteristic viscosity defined explicitly in the viscosity function, such as the power-law model.
Let (phi_{k}) and (gamma_{k}) be defined for any positive integer k.
Subjective probabilities can be defined for any proposition, while the classical inference is defined only for events in a sample space (O'Hagan & Forster, 2004).
The session reconstruction problem can be defined for any application based on a "client/server" architecture (such as a Web application or many mobile applications).
With network virtualization, any network architecture can be defined for any given set of devices, while completely ignoring the physical aspects of how those devices actually connect to the network.
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The business rules summary screen summarizes the business rules that are defined for any business process step.
More generally, modulo a,b) is defined for any a and b so that (floor(a/b)× b) + modulo a,b) = a.
Critical homogeneous deformations, supporting strain jumping, are defined for any anisotropic elastic material under constant Piola Kirchhoff stress field in three-dimensional elasticity.
Then, the corresponding pair of rolling surfaces (pitch surfaces) and their relative position is defined for any set of kinematic transmission parameters.
These proof procedures are defined for any conventional logic formulated as a collection of inference rules and show how any such logic can be extended to a dialectic argumentation system.
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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