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An implicit algorithm is employed to determine the stress evolution for arbitrary paths.
Spatially variant self-collimation is introduced as a powerful means to control the flow of electromagnetic beams along arbitrary paths.
In this paper, a distributed strategy to move objects on different arbitrary paths in a 2D plane is proposed and analyzed.
For complex objects, it is important that the measuring device is free to move along arbitrary paths and make its measurements from suitable directions.
However, the technical machinery developed and the results obtained shed light into the process of designing path following controllers with an inner-outer loop structure for arbitrary paths.
Clearly Open image in new window For arbitrary paths (p,qin Path(Gamma ),) (r(p)=r q),) we have (sd(pq)=sd q)) unless the path q is special.
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Compared to the FEM, XFEM excels in allowing discontinuities to grow within bulk solids along an arbitrary path.
For an arbitrary path (p=e_1ldots e_n) let i be the minimal integer such that the path (e_{i+1}ldots e_n) is special.
While this time-domain approach is not very efficient in terms of computational complexity, it does not use approximations to solve the inverse reconstruction problem; simultaneously, it facilitates the use of arbitrary path deviations.
(3) Here (varGamma(boldsymbol {x})) denotes an arbitrary path that connects a point on the boundary to the point x within its interior, and (boldsymbol {z} = nabla_{boldsymbol {x}} u in mathbb{R}^{2}).
Since the only edge c is special it follows that an arbitrary path p of length (ge 1) is special and (l(p)=sd(p).) If the edge e is special then (sd(c^i)=0, sd(c^ie)=1).
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com