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winding number

Synonym: 
index
Type of Math Object: 
Definition
Major Section: 
Reference

Mathematics Subject Classification

55M25 no label found30A99 no label found

Comments

is there an algorithmic way to define a winding number and relate it to line integral as defined in complex analysis. it should wotk even if the index is any integer

the number w(c)=(1/(2\pi i))\int_c(1/z)dz counts the turns that the curve c gives around the origin. Try c(t)=exp(2 i n \pi t) to see sample

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