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The setting of the coordinates related to shadows is shown in Figure 2a.
This requires first to pass to special semigeodesic coordinates related to each metric in which g i n = δ i n, ∀ i.
We present a cell-centered discontinuous Galerkin discretization for the two-dimensional gas dynamics equations written using the Lagrangian coordinates related to the initial configuration of the flow, on general unstructured grids.
Based on existing approaches, we start our study from the standard random deployment of a sensor network and then we consider a coarse-grain localization algorithm that associates sensors with coordinates related to a central node, called the sink.
We point out that we do not use the geographic longitude and latitude, but "magnetic" longitude/latitude coordinates related to the so-called Mars Solar Electric field (MSE) Cartesian system.
The control purpose, in this paper, is to design a nonlinear restricted state feedback control law, such that the generalized coordinates related to links 2 and 3, to be independent of viscous and coulomb friction, and the input-output behavior of the closed-loop system to be I/O linearized and decoupled.
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All coordinates relate to Montreal Neurological Institute space.
After scalp incision, rats were injected bilaterally with 8 μL of 192 IgG-saporin (0.63 μg/ μL, Chemion, Temecula, CA) into ICV following coordinates relating to Bregma: AP: −0.8 mm, ML: ±1.2 mm, and DV: −3.4 mm.
Tracking resulted in the generation of a sequence of position coordinates relating to each cell in each frame, motion analysis was then performed on these sequences using Wolfram Mathmatica 6. Rose plots show the proportion of cells with migratory direction lying within each 20° interval.
Explicitly, the curvilinear coordinates relate to the cylindrical coordinates (ρ, φ, z) as [ 20] (3) ρ = (r b + γ l ) (ϵ cos ψ + (1 − ϵ ) (1 − sin ψ ) ), φ = ϕ, z = (z b + γ h ) (1 − sin ψ ), where r b is the LV internal (endocardial) radius at the cardiac base, l is the basal ring thickness, z b is the LV cavity depth, and h is the wall thickness at the apex.
The horizontal axis represents time while the vertical axis shows the x-coordinate related to the located sources.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com