"Your" understanding?

How do you express it more elegantly then?

For clinical reasons, numbers may occasionally be called out of sequence.
Meanwhile we have some nice golfing magazines from several years ago for you to read.

I'm not sure I agree that there's a meaningful distinction between the phrases, but I do agree that both are inelegant.

To the extent there is any, I think "your understanding" expresses a more pronounced assumption that the reader is in fact understanding.
Compare: "Thanks for being patient" vs. "Thanks for your patience." It's kind of the same, but the first one (to me) feels more like a request -- a euphemistic form of "Please be patient" -- while the second one sounds more like an acknowledgment of the patience you're already exercising.

Thanks for all your responses.
I will continue to be a patient patient !!!!

"Thanks for being patient"

Alternatively, "Thanks for being a patient"

Some people go to shrinks and unduly mantaine elligance.

Or numbers.
"Dr., why do I hurt here,?" he asked patiently.