Spatial gradient
In today's world, Spatial gradient has become a topic of great interest and relevance. Over time, Spatial gradient has significantly impacted different aspects of society, culture, politics and the economy. Since its inception, Spatial gradient has played a fundamental role in people's daily lives and has sparked debates, discussions and deep reflections in various areas. In this article, we will further explore the impact and importance of Spatial gradient, examining its many facets and its influence on the world today.
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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
- Fluid dynamics and earth science
See also
References
- Kreyszig, E. (1999). Advanced Engineering Mathematics. Wiley. ISBN 978-0-471-15496-9. Retrieved 2023-08-27.