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(x_{imathrm{S}}) axis: direction of gradient of the contact plane.
The effect of diffusion anisotropy can be easily detected by evaluating variations in the diffusion measurements when the direction of gradient pulses is changed [14].
Note that the direction from X to X c gives the direction of gradient ascent, along which X should be updated in the next iteration.
Furthermore, this ensures small projection of (nabladelta u_{k}) onto orthogonal component of (nabla w_{0}) such that the direction of gradient field of (u_{k+1}) is almost consistent with that of (w_{0}).
Two image acquisitions were performed for each DWI: one without (b = 0 s/mm) and the other with diffusion weighting (b = 400 s/mm) with the inferior-superior direction of gradient orientation.
We solve the optimization problem by the gradient descent algorithm, which is an iterative algorithm where, within each step, the gradient of the objective function is calculated, and then the negative direction of gradient is used to search the next step by multiplying the step-size.
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The equilibrium part of the generalized Ohm's law is solved by direct matrix inversion along the direction of gradients for every Fourier mode in the other two directions, while the nonlinear part is solved iteratively.
The intensity and direction of gradients are obtained by applied filter operator on intensity image.
The ability to sense the direction of gradients as shallow as 0.1% μm-1 represents a challenging behavior.
After 40-min absorption by FeSO4 and MGD, the leaf was positioned in the TE102 cavity with its leaf axial along to the Y-direction of gradient field.
There is not a consistent gradient or direction of the gradient between the two temperatures, which makes it difficult to interpret the temperatures reported by parents.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com