Question about the relationship between event stream and psedo flow in the paper

[petercmh01]

Hello there:

Thank you for the awsome work. As I read through the paper about event stream generation I found this equation a bit confused:

To be specific, I was able to understand the previous equations, such as the change of log intensity and the idea of pseudo flow, but I'm not sure how to go from the pseudo flow to this dot product notation.

Can you explain a little more, thanks in advance for any help : )