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A spatial gradient is a gradient whose components are spatial derivatives, i.e., rate of change of a given scalar physical quantity with respect to the position coordinates in physical space.
Homogeneous regions have spatial gradient vector norm equal to zero.
When evaluated over vertical position (altitude or depth), it is called vertical derivative or vertical gradient; the remainder is called horizontal gradient component, the vector projection of the full gradient onto the horizontal plane.
Examples:
Biology
Concentration gradient, the ratio of solute concentration between two adjoining regions
Potential gradient, the difference in electric charge between two adjoining regions
A spatialgradient is a gradient whose components are spatial derivatives, i.e., rate of change of a given scalar physical quantity with respect to the...
changes the most rapidly around a particular location. The temperature spatialgradient is a vector quantity with dimension of temperature difference per unit...
Geothermal gradient is the rate of change in temperature with respect to increasing depth in Earth's interior. As a general rule, the crust temperature...
analogue of the gradient operation Hessian matrix – (Mathematical) matrix of second derivatives Skew gradientSpatialgradient – Gradient whose components...
generally of the fluid under investigation). The pressure gradient is defined only at these spatial scales at which pressure (more generally fluid dynamics)...
biology, a potential gradient is the local rate of change of the potential with respect to displacement, i.e. spatial derivative, or gradient. This quantity...
wind gradient, more specifically wind speed gradient or wind velocity gradient, or alternatively shear wind, is the vertical component of the gradient of...
Density gradient is a spatial variation in density over an area. The term is used in the natural sciences to describe varying density of matter, but can...
Earth's gravity field via measurements of the spatialgradient of gravitational acceleration. The gravity gradient tensor is a 3x3 tensor representing the partial...
{F} ^{-1}\,\!} , where H {\displaystyle \mathbf {H} } is the spatial deformation gradient tensor. Then, by the implicit function theorem, the Jacobian...
a field model, rather than a point attraction. It results from the spatialgradient of the gravitational potential field. In general relativity, rather...
circumstances. Lapse rate corresponds to the vertical component of the spatialgradient of temperature. Although this concept is most often applied to the...
a field model, rather than a point attraction. It results from the spatialgradient of the gravitational potential field. In general relativity, rather...
based on the free energy gained from redox pairs. These redox gradients form both spatially and temporally as a result of differences in microbial processes...
the cell. Pom1 forms a spatialgradient as cells elongate throughout G2 phase. Figure 1 illustrates in cartoon form the gradient of Pom1 (shown by the...
integration of vertical deflection, as it represents the horizontal spatialgradient of the geoid undulation. Arc measurement Astronomy, stellar triangulation...
and so a spatialgradient in temperature can result in a gradient in the Seebeck coefficient. If a current is driven through this gradient, then a continuous...
brain region being studied. Another magnetic field, the gradient field, is then applied to spatially locate different nuclei. Finally, a radiofrequency (RF)...
In acoustics, the sound speed gradient is the rate of change of the speed of sound with distance, for example with depth in the ocean, or height in the...
particle with relative permeability mu sub (pr) is proportional to the spatialgradient of the square of the magnetic flux density. The formula can be used...
other, but after a state of steady-state conduction is reached, the spatialgradient of temperatures along the bar does not change any further, as time...
The histogram of oriented gradients (HOG) is a feature descriptor used in computer vision and image processing for the purpose of object detection. The...
within the boundaries of a zoom-lens. The Gradient Model is an alternative theory on the distribution of spatial attention. This model proposes that attentional...
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