0
$\begingroup$

enter image description here

enter image description here

enter image description here

enter image description here

Is the next answer correct: $$a\left(z\right)=\sum _{\left\{k\right\}U\left\{k'\right\}:f_k\le \:z,\:z\:\in R,\:f_{k'}\ge z\:;\:z\ge 0}1-\frac{f_k}{z},\:b\left(z\right)=\sum _{\left\{k\right\}:f_k>z,z<0}f_k-z\:$$

Which mean I want to iterate over all the $f_k$'s in the $a(x)$ equation by the k's which their $f_k$s are smaller then $z$ for all real $z$, and then for positive $z$ only on the $k'$ which $f_k'$ is bigger then z, and the $b(x)$ all other, so their sum is exactly the original $g_i(z)$ Is this mathematically correct ?

P.S: My try isn't correct, so I will be glad to the right way to do this.

$\endgroup$

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Browse other questions tagged or ask your own question.