please check attached paper

links are for the book.

https://docs.google.com/document/d/1awIDaMk3imgceFp12kEwzIl8F8IWJBFdS7xwOt6He_U/edit#

https://docs.google.com/document/d/1uz0SnatD0t0EAZw-i_dS7q7lQ4W9qDBBCB5R2A5d50k/edit#heading=h.30j0zll

https://docs.google.com/document/d/1EBnW_EGvY6s-WZpEb4WZlwG1i9ELTAoCzfarNx1pdeM/edit#heading=h.30j0zll