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| + | On problem 2. I am breaking the curve <math>\gamma</math> up into two piece wise curves <math>\gamma_1</math> and <math>\gamma_2</math> that meet when the curve <math>\gamma</math> crosses the negative real axis at the point <math>z_0</math>. I then am taking the principle branch of log as an analytic function to evaluate the two curves with the Log <math>{z_0}</math> values dropping out. My worry is that since <math>z_0</math> sits on the branch cut that the function won't be analytic for one of the endpoints of the curves. Am I getting myself into trouble with this?--[[User:Rgilhamw|Rgilhamw]] 21:13, 8 December 2009 (UTC) | ||
Revision as of 16:13, 8 December 2009
Discussion area to prepare for the Final Exam
On problem 2. I am breaking the curve $ \gamma $ up into two piece wise curves $ \gamma_1 $ and $ \gamma_2 $ that meet when the curve $ \gamma $ crosses the negative real axis at the point $ z_0 $. I then am taking the principle branch of log as an analytic function to evaluate the two curves with the Log $ {z_0} $ values dropping out. My worry is that since $ z_0 $ sits on the branch cut that the function won't be analytic for one of the endpoints of the curves. Am I getting myself into trouble with this?--Rgilhamw 21:13, 8 December 2009 (UTC)
