# How can I write out the Real-TIme Recurrent Learning Gradient equations for a network?

This question is about Real-Time Recurrent Learning Gradient on a Recurrent neural network .

How can I write out the RTRL equations for a network ?

Before present an example give let's introduce some notation :

Notation

So the network for which we want to write the RTRL equations is the following :

Network

A similar question can be found here at page 561 for another network .