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The artificial whisking map is reported as a radial map with coarse-selective neuron near the edges, the piezo data, however, does not look radial and is not tested with a similar statistical test as in Figure 6b.
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Suppose that f is a radial mapping at 0. Then the function ρ satisfies the following: 1.
Suppose that f is a radial mapping at 0. Then its Jacobian is (J_{f}=frac{rhorho _{r}}{r}) a.e.
One particular example is replacing COBRA-TF with SUBCHANFLOW, an in-house developed sub-channel code, in the COBRA-TF/MCNP coupling, accompanied with new way of radial mapping between the neutronic and thermal-hydraulic domains.
If f is a radial mapping, then f can be written in polar coordinates ((r,theta)) as (f z)=f(re^{itheta})=rho r,theta)e^{itheta}), with (rho r, theta):(0,infty]tifes(0,pi)to(0,infty)) if (z=re^{itheta }).
A mapping (f:mathbb {H}to mathbb {H}) is said to be radial at (xin mathbb {R}) if f leaves invariant all Euclidean rays in (mathbb {H}) that meet at x. Let (f:mathbb {H}to mathbb {H}) be a radial mapping at x. Since hyperbolic area is invariant under horizontal translations, we can assume that the point (xin mathbb {R}), where the Euclidean rays meet, is (x=0).
We used high-resolution MRI (magnetic resonance imaging) and a three-dimensional radial mapping approach to assess subregional structural deformations in the hippocampus.
In comparing the ECAT1 and the ECAT2 FCC catalyst particles, it can be clearly seen that V has penetrated deeper in to the particle as the particle has aged, as signified by the radial maps in Figure 3. Ti and La remain relatively unchanged, with a uniform distribution throughout the particle from ECAT1 to ECAT2.
A key element of our approach is a compact representation of dense tree crowns through a radial distance map.
Sensitivity/uncertainty analysis has shown that the predominant component on radial power map comes from the 238U inelastic scattering cross-section.
The exponent β is the best possible, as the example of a radial quasiconformal map f(x) = |x| α-1 x, 0 < α < 1, of B n ¯ onto itself shows (see [2], p. 49).
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com