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The radial stress is always continuous along the radius because of the stress equilibrium equation in the radial direction.
For linear functionals this condition is automatically satisfied, and so the Volterra variational derivative of a linear functional is always continuous.
Consider the function (gamma _{f}(x) = vert f(x - F_{T}^{f}) vert = inf {vert f(x - z) vert : zin F_{T}^{f}}), which is always continuous.
This is not the case in Theorem 2.11 since the involved mappings are continuous (for the norm topology) and the algebra multiplication is always continuous.
The radial stress is always continuous at the interface between the annuluses, while the circumferential stress is continuous except the interface.
It is not immediately clear that the choice of parameters involved in approximation from an arbitrary finite dimensional space is always continuous.
Similar(48)
Clearly, Banach contractions are always continuous but Kannan contractions are not necessarily continuous.
Region-based approaches are available because the segmented contours are always continuous and one-pixel wide.
Moreover, the segmented contours are always continuous and one-pixel wide [6].
It is clear that Lipschitzian mappings are always continuous and Kannan type mappings are not necessarily continuous.
The sclerenchymatous ring surrounding the medullary vascular bundles was always continuous except in P. betle, where it was discontinuous.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com