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In the following, the corresponding transform onto is represented by the analysis operator.
Applying the proposed equation (10) (nonlinear) experience transform onto the data, results in a significantly different picture as depicted in Figure 7.
To address this issue, we formulate an observability-constrained unscented transform, and find its closed-from solution as the projection of the canonical unscented Jacobian (i.e., computed by the standard unscented transform) onto an appropriate observable subspace such that the resulting Hessian has a nullspace of correct dimensions.
Future systems that optimize the design of the sensor, perhaps by integrating portions of the spatial transform onto the focal plane [5] [9], will further reduce this number.
You may use a ruler on a printed out photo and take an average, or use the measuring device in Gimp, or use MATLAB to extract the pixels along the major axis and apply a fast Fourier transform onto the extracted set of pixels if you are a geek.
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Detailed information in the OCT scan would be lost due to a necessary volume transformation if the OCT C-scan would be transformed onto the FA.
The generated covariate data were back transformed onto their original scales, e.g. using exponential transformations, prior to any analyses being performed.
For monkeys, all functional maps were spatially normalized across sessions and then spatially transformed onto the averaged monkey brain using a spherical transformation (Fischl et al. 1999).
Next, activity within each individual's brain was spatially transformed onto the averaged human brain using a spherical transformation (Fischl et al. 1999) and averaged using random-effects models (Friston et al. 1999).
Problem (1.1), (1.2) can be also transformed onto a problem about the existence of a positive solution on the half-line.
In this regard, motion datasets were transformed onto a 3-dimensional coordinate; Figure 8 illustrates the distributions of each dataset in the low-dimensional space.
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