Is there some help function implemented in the scope GUI, preferably something that works similar to the Keysight help function?
Like, keeping your finger on the selection of some measurement function for 2s (or maybe a bit longer) to get a pop-up that displays the exact details of this function? For σ it would show the equation of standard deviation and so on. Or for high-res mode it could display achievable number of bits of resolution dependend on time base.
Currently, there is no additional help function.
Regarding the automatic measurements, we will add the equations utilized to the manual.
Functionality of the HiRes mode is independent from the time base. It is (simply speaking) a configurable filter that precedes further acquisition stages (such as trigger etc.) and its behavior only changes, when it is actively requested by the user.
The attached screenshot shows available values. Beginning with the above mentioned firmware 1.1.2, the currently active HiRes behavior will always be displayed in the status bar at the bottom of the screen.

What is the difference now between the "soft" and "hard" shutdown by the power button?
What method of shutting down is recommended for longer life of the device?
While the filesystem utilized in the Magnova storage system is resilient to immediate power loss etc., the "hard" shutdown should only be used in cases, where the device does not respond to any other inputs.
Only on "soft" shutdown will your measurement settings etc. be stored properly to become available at next start-up. This is the method that should always be preferred.
The hard shutdown functionality was originally added as "first response" to rare stability issues, that we assume to have resolved by now.