MHB Meaning of Cosx - Contraction, Contractive, Nonexpansive or Lipschtzian?

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what is cosx ? contraction, contractive, nonexpansive or lipschtzian...which is true ?
 
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ozkan12 said:
what is cosx ? contraction, contractive, nonexpansive or lipschtzian...which is true ?

Hi ozkan12,

Perhaps I am not getting your question clearly; are you trying to figure out what is meant by "cosx" ? For one, it might mean the cosine of x.
 
ozkan12 said:
what is cosx ? contraction, contractive, nonexpansive or lipschtzian...
It would also be nice if you remind us the definition of some of these concepts. Lipschitz continuous function is a well-known thing, but nonexpansive is less so, I believe. And what is the difference between contraction and contractive? Finally, what have you tried to answer your question?
 

Thread 'Apparent counter-example to Cauchy-Goursat theorem (Complex Analysis)'

I posted this question on math-stackexchange but apparently I asked something stupid and I was downvoted. I still don't have an answer to my question so I hope someone in here can help me or at least explain me why I am asking something stupid. I started studying Complex Analysis and came upon the following theorem which is a direct consequence of the Cauchy-Goursat theorem: Let ##f:D\to\mathbb{C}## be an anlytic function over a simply connected region ##D##. If ##a## and ##z## are part of...
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