- Source: Spatial gradient
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
Fluid dynamics and earth science
Density gradient
Pressure gradient
Temperature gradient
Geothermal gradient
Sound speed gradient
Wind gradient
Lapse rate
See also
Grade (slope)
Time derivative
Material derivative
Structure tensor
Surface gradient
References
Kreyszig, E. (1999). Advanced Engineering Mathematics. Wiley. ISBN 978-0-471-15496-9. Retrieved 2023-08-27.
Kata Kunci Pencarian:
- Keanekaragaman hayati
- Spatial gradient
- Temperature gradient
- Geothermal gradient
- Gradient
- Potential gradient
- Pressure gradient
- Gradient (disambiguation)
- Wind gradient
- Lapse rate
- Gravity gradiometry