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a start on this important concept
The '''circulation''' of a function is the summation of the values it takes at each point on a closed curve (a loop), which is also known as its [[line integral]] over a contour. For a [[conservative vector field]], the circulation is zero, but the circulation of the velocity of a fluid is rarely zero.
A mathematical expression for the circulation of the vector ''P'''i''' + Q'''j''''' is over contour '''C''':
::<math>\oint_{C} (P\, \mathrm{d}x + Q\, \mathrm{d}y)</math>
[[Green's Theorem]] provides a method for easily calculating circulations.
[[Category:vector analysis]]
[[Category:calculus]]
[[Category:mathematics]]
A mathematical expression for the circulation of the vector ''P'''i''' + Q'''j''''' is over contour '''C''':
::<math>\oint_{C} (P\, \mathrm{d}x + Q\, \mathrm{d}y)</math>
[[Green's Theorem]] provides a method for easily calculating circulations.
[[Category:vector analysis]]
[[Category:calculus]]
[[Category:mathematics]]