MATH 14 Lecture Notes - Lecture 19: Contact Lens

• School: Santa Clara University
• Department: Mathematics and Computer Science
• Course: MATH 14
• Professor: Daniel Ostrov

Document Summary

F = f 1: the curl of. F: if f = i y yj. 1 out 9 (x, y)i f 1 (x, y)j. A. f at p, gives the rotation of f at p (i. e. , how much f curls around at p) in the following sense: N is the rotation speed of. If ( f ) observer: if f = i. + x so, the rotation will be counterclockwise so, the rotation will be clockwise for the. N = 2 we see that f. So if rotation everywhere is the same (2) in the counterclockwise direction. Green"s theorem (2-d) (x y)j (x y)i at every path. Has continuous partial derivatives (meaning & continuous partial derivatives) at all points in r which is enclosed by c , then. 4 out 9: the circulation is in the counterclockwise direction, denoted by, f k.