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ANSYS-CFX permits definition of directional losses [7], whereby losses in a specified streamwise direction are defined as per Eq. 1, and losses in a transverse direction (i.e. perpendicular to the streamwise direction) are defined as the streamwise loss multiplied by a streamwise coefficient multiplier.
Assume that there exist x0 ∈ L and δ > 0 such that d x0, Tx0) ≤ αδ and sup t ∈ ( 0, δ ] k ( t ) < inf t ∈ ( 0, δ ] a ( t ), where λ ∈ (0, 1], a and k are the constant and the functions occuring in the definition of directional multivalued k-contraction. Then ℱ ( T ) ∩ L ≠ 0̸.
\end{aligned}$$\end{document} This "steerability" property is a basic consequence of the definition of directional derivatives and has been popularized for image processing applications by Freeman and Adelson (1991).
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This definition of the directional synthesis operator (DS_{g}^) for (ginmathcal{S}_{0}(mathbb{R})) is guaranteed by Theorem 3.1.
Let us note that our definition of the directional STFT for distributions coincides with the one given for the test functions.
We must be careful if we want to extend the definition of the directional short-time Fourier transform to more general spaces.
To relax the definition of arcwise convexity in terms of directional derivative recently Yuan and Liu [13] introduced the concept of -right upper-Dini-derivative locally arcwise connected with respect to the arc H and established optimality and duality results for a nonlinear multiobjective programming problem.
Two researchers rejected this bi-directional definition of translational research.
Since power density (S) is non-directional, the definition of S was developed as a function of direction i.e. S (θ, (varphi)).
To stay close, a cornerback must mirror an opponent, with little warning of directional shifts.
Auds has three barrels of descending sizes, which act as a set of directional radio antennas.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com