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5 Threads found on edaboard.com: **Cauchy**

Hello Dears
I use the kramers kronig (KK) relations to demonstrate the arbitrary values of the dielectric constant with the measured values, but in the derivation of KK relations, there is a **cauchy** value P as shown below, but I dont know how to determine its value.
134330
Is there anybody have an expertise with such an

Mathematics and Physics :: 12-09-2016 11:12 :: m.mohamed :: Replies: **0** :: Views: **3252**

I wish to know what is the intuitive meaning of **cauchy**'s integral formula... What does it try to do...!!! I've searched quite a few places on net but those descriptions are pretty much mathematical...!!! They all talk about a disc and winding numbers and rotations etc... In bits and pieces, I can follow what they are saying... But am still unable t

Mathematics and Physics :: 08-31-2014 05:26 :: rahulpsharma :: Replies: **1** :: Views: **2015**

Mathematics and Physics :: 08-15-2006 04:05 :: me2please :: Replies: **2** :: Views: **1144**

The Fourier Transform of 1/t can be easily obtained as follows (I'll use the notation in Mathematica):
F=Integrate[Exp
=Integrate[Cos-iIntegrate[Sin
The first integral is zero when the **cauchy** main value is applied. Actually, it's integral of an odd function. The second int

Mathematics and Physics :: 02-02-2006 06:15 :: steve10 :: Replies: **3** :: Views: **1111**

Find a book - any book, which has the **cauchy** problem of heat equations. There is a standard way to deal with the Fourier transform of this type of functions. You'll see that everything boils down to an integral which can be calculated by differentiation under the integration. If you care, it is actually a very good exercise of your calculus.

Mathematics and Physics :: 09-19-2005 03:13 :: steve10 :: Replies: **5** :: Views: **12360**

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