Should I leave my equipment on ?

Thanks to all for such comprehensive answers. FYI what prompeted this question was, among other things, comments I've read from some audiophiles who stated their equipment has NEVER been turned off.

Here is a similar query- I'm currently evaluating different pieces of equipment and interconnects, etc. I have to turn some things off to switch things around. If the equipment is turned off for but a few minutes after it's been on for , say several days, is that the equivalent of a full blown cool down ??

Thanks again to anyone with advice for me.

What is an IEC power socket ? I'm not familiar with this equipment.