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→The Divergence
Consider a vector field <math>\vec{F}=f_1\vec{i}+f_2\vec{j}+f_3\vec{k}</math>, which we interpret as representing the velocity of a fluid occupying space, or a very thin layer of flowing fluid on a plane. Suppose we wished to find out if there are any sources of fluid (like a faucet), or drains - how might we go about this?
Consider a vector field <math>\vec{F}=f_1\vec{i}+f_2\vec{j}+f_3\vec{k}</math>, which we interpret as representing the velocity of a fluid occupying space, or a very thin layer of flowing fluid on a plane. Suppose we wished to find out if there are any sources of fluid (like a faucet), or drains - how might we go about this?
::::::::::::::::::''geometric definition''
=The Curl=
=The Curl=