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(x_{imathrm{S}}) axis: direction of gradient of the contact plane.
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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}).
In particular, we can obtain posterior distributions for any such gradient, for the direction of maximal gradient, and for the magnitude of the maximal gradient.
Growth direction was defined at each time step as the weighted vectorial sum of a random direction, the gradient of the activator substance and some measure of the previous movement direction: d= wnoise dnoise + wgrad dgrad + wprev dprev.
Using this new model, cells were polarized with an initial gradient and then the direction of the gradient was changed.
If in any region the observed wind forces are markedly in excess of the normal for the prevailing gradient, a surge of high pressure in the direction of the gradient may be looked for, and vice versa.
The magnitude of the gradient tells us how quickly the image content is changing, while the direction of the gradient tells us the orientation of these rapid changes.
In thermal gradients, Caenorhabditis elegans uses thermotaxis to bias its movement along the direction of the gradient.
The resultant density distribution of the obstructed molecular gas exhibits a striking "asymmetry" in the (radial) direction of the gradient of density stratification but retains "symmetry" in the z-direction perpendicular to the stratification gradient.
The idea of this method is to change distributions P in the direction of the gradient of objective function W (P) in order to reach a local maximum of W (P). A standard gradient ascent algorithm in the present context can be characterized by (10).
When placed in an inhomogeneous field, matter is either attracted or repelled in the direction of the gradient of the field.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com