think which is where you're thinking yes okay what was I saying yes this norm okay the important thing is that you write gradient descent in this suggestive way so what it's saying is that gradient descent is trying to maximally decrease the lost value of the function while paying infinitely small amount of l2 norm the key thing is is trying to use the least amount of Al to norm to achieve this goal so now you might ask why do I change a norm and this gives you a family of steepest descent algorithms and in fact you can