The phrase "as gradient of" is not correct in standard written English.
It may be intended to describe a relationship involving gradients in a mathematical or scientific context, but it lacks clarity and proper structure.
Example: "The function behaves as the gradient of the surface changes."
Alternatives: "as the slope of" or "as the rate of change of".
In the source-free region above the conducting Earth, the magnetic field due to a magnetospheric source can be represented as gradient of a scalar potential, B = − ∇ V, which is obtained by solving Laplace's equation.
end{aligned}Also, it is possible to take advantage of Brenier's theorem which characterizes optimal transport maps as gradient of convex functions, and recast it as begin{aligned} min _{ u, text{ convex } text nabla uin Omega }quad frac{1}{2} int _{Omega }|nabla u(x -x|^2mathrm{d}mu (x -x|^2mathrm{d}mu ).
Instead of updating the parameters after every training examples (stochastic gradient descent) or updating the parameters once after all the training examples have been processed (batch gradient descent), this technique speeds up the training process as gradient of loss is averaged over each mini-batch (Table 1).
By expressing [τxz 2, τyz 2] b as gradients of a function ψ2b, one obtains α ψ 2 b = ∫ τ xz 2 b dx + τ yz 2 b dy Open image in new window (46).
Hence, node i transmits its data with its gradient, and then, when node j receives a packet from its neighboring node i, node j determines whether to forward the received packet, based on its residual energy as well as gradients of node i and itself.
Also, bacterial growth itself provokes gradients, such as gradients of nutrients or catabolites, or gradients in acidity, or amensalistic substances.
Data was represented as gradients of linearised stress strain relationships, following linear regression analysis, for animals within the same treatment group.
DOI: http://dx.doi.org/10.7554/eLife.03526.002 Escherichia coli uses a single chemotaxis protein network to navigate gradients of chemical attractants and repellents, as well as gradients of temperature, oxygen, and pH (Sourjik and Wingreen, 2012).
There are certainly other mechanisms for cell polarity in this process such as gradients of diffusible signals that are not yet accounted for in this model but may be the subject of further improvements as discussed below.
This heterogeneous microhabitat consists of many components including noncancerous cells (endothelial cells, pericytes, smooth-muscle cells, fibroblasts, etc)., extracellular matrix (ECM), and physical parameters such as gradients of oxygen, glucose, pH, and interstitial pressure (Chung et al. 2005; Merlo et al. 2006; Lee et al. 2011).
In psychophysics, Gibson found texture gradient and width gradient as well as the gradient of binocular disparity as the major cues of surface orientation in depth.
