Find the points where the function is not analytic.
The function ( f(z) = \dfrac{\operatorname{Log}(z+4)}{z^2+i} ) can fail to be analytic either where the logarithm is not analytic _______ ___ _____ _____ __________ _____ _______.
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Find the parity check matrix of the code . Decode the following vectors
i)
ii)
iii)
iv)
For a linear code C with generator matrix
find the parity check matrix. Check that any two columns of the parity check matrix are linearly independent and there are three columns that are linearly dependent. What is the minimum distance of C ?
Find the points where the function is not analytic.
Find the image of the circle under the mapping
. What happens when
?
Let C be a cyclic code of length eight over with generator polynomial
. Find the generator matrix of C, the generator polynomial of C and the parity check matrix of C.
Prove that the linear fractional transformation maps the circle
into itself. Also prove
that f(z) is conformal in .
If is entire such that
in
then show that f has the form
where
are constants with
.