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Regarding the complexity of the shape, two new approaches are proposed to design the transformation map from the virtual space to the physical space via transformation optics.
In this case the transformation map does not preserve the geodesics property.
In particular, for each iteration of the PC analysis, one of the 196 eyes was set to be the test eye and the remaining 195 eyes were used as the sample eyes for building the transformation map between the OCT and the visual field with the MLR analysis.
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A least squares method is used to find the transformation mapping, from the virtual to real environments.
On the other hand, the transformation maps onto the circle with the centre and the radius, where.
Ideally, the transformation mapping ( phi ) should be one-to-one correspondence, smooth, differentiable, and symmetric (i.e., independent of the directionality between S and T).
The transformation mapping 'p' to η can be uniquely inverted; for example, the x-component of the momentum equals : p_x = p_0 \frac{\eta_x}{1 - \eta_w} and similarly for py and pz.
This is the first study that reveals the comprehensive transformation map of bromine in SO4−⋅ based reaction systems, which should be taken into consideration when such technologies are used to eliminate contamination in real practice.
However, the estimation on the norm of transformation map (W_{i}(x)) is very conservative, which leads to conservative stability conditions.
The above transformation maps the Burgers equation (1) into the linear heat equation υ t ( x, t ) = υ x x ( x, t ), (4).
The elliptic transformation maps the parameter space one-to-one onto the domains or surfaces.
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