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Our result shows that the core of the Moffat function which models the PSF begins to be smoothly connected to the scattering wing at the distance of about 15″ from the peak.
(4) Our method also detect outlier arcs which are smoothly connected to inlier arcs.
Figure 6 5) is an example where an outlier arc is smoothly connected to an inlier arc.
The high-latitude portion of this boundary plasma sheet appears to be smoothly connected to the region where the electron energy flux was very low (after approximately 08 22 30 UT). Figure 3 DMSP F18 particle observations along the passage from the dusk to the prenoon sector.
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end{aligned} (5.19 On the other hand, we assume that the metric is given by the function (5.18) which smoothly connects to (b_e(r)): begin{aligned} b(r)=b_* r)equiv b_e(r_* -frac{b_e'(r_* -frac{b_e 1-frac{r^2}{r_*^2}right) equiv e^{2Phi _*(r)},quad text{ for } r<r_*.
In order that the solutions of the two problems are smoothly connected at (x=c).
In order that the solutions of the two problems are smoothly connected at Γ, considering the approximation of zeroth order for the boundary layer terms, we have frac{partial W_{0}^{partialtau_{2}^bigg | _{tau_{2}^=0 = frac{partial W_{0}^{partialtau _{2}^bigg| _{tau_{2}^=0}.
The Archimedean spiral has two arms, one for ϕ > 0 and one for ϕ < 0. The two arms are smoothly connected at the pole.
We proceed to show that there exists an indeed in the neighborhood of such that the solution of the left associated problem (4.1) and (4.2) and the solution of the right associated problem (4.3) and (4.4) smoothly connect at from which we obtain the desired step-like solution.
Try to make them as smoothly connected as possible, ending in relatively small shapes.
In this video, the hexapod walks smoothly in various directions, then balances an inverted pendulum (connected to the body via a universal joint) while walking over rough terrain.
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