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The Biot-Savart law will be used often to get the control between the gradient of velocity and the vorticity.
The relationship between the gradient of high pressure stress field and the 'skin-core' structure of polyethylene was also established.
To achieve this goal, the relation (or mapping function) between the gradient of the input image and the desired solution should be non-linear.
We derive a relationship between the gradient of the nematic director field, related to the orientation of the polymer segments, and the curvature tensor associated with rotational gradients.
We analyze the supercloseness between the gradient of the numerical solution by the Nitsche's method and the gradient of the interpolation of the exact solution, which leads to the superconvergence of the proposed gradient recovery method.
There was no significant difference between the gradient of the linear relationship between meals (P=0.5214).
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The deep ConvNets were adapted to learn the mapping between the gradients of the CXRs and the corresponding bone images.
In the gradient descent method, the differences between the gradients of two grayscale images are used to suggest the displacement field between them.
They first compute the similarity between the gradients of the reference image and transmitted image and then compute some additional information, such as the difference of gradient orientation and luminance similarity, to combine with the gradient similarity.
In this section, we analyze the similarities between the gradients of (5a), which is rewritten as begin{array}{*{20}l} h(boldsymbol{x}, boldsymbol{rho}) = left((boldsymbol{w} + boldsymbol{epsilon})^{intercal} boldsymbol{x} - d(boldsymbol{rho}) right)^{2}, end{array} (31).
Due to the existence of a mathematical relationship, which we have derived, between the gradients of two variables and the correlation coefficient between them, we could perform the comparison between the gradients by studying the correlation coefficients between them, see below.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com