northward_derivative_of_eastward_sea_ice_velocity

A velocity is a vector quantity. "Eastward" indicates a vector component which is positive when directed eastward (negative westward). "Northward" indicates a vector component which is positive when directed northward (negative southward). Sea ice velocity is defined as a two-dimensional vector, with no vertical component. "component_derivative_of_X" means derivative of X with respect to distance in the component direction, which may be northward, southward, eastward, westward, x or y. The last two indicate derivatives along the axes of the grid, in the case where they are not true longitude and latitude. The named quantity is a component of the strain rate tensor for sea ice.
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