I'm trying to read some papers from 1927, but I'm really struggling with the way Tsiolkovsky presents information here, I think probably just because I am not used to it.
Can someone explain what exactly "f" is here?
Physically or mathematically speaking?
I mean it's some factor, and the answers depends if v is volume or velocity, and how it's related to the length L, or hopefully something of the same unit as it.
Your question is pretty half-assed
I guess whats really throwing me off is how it could be plus or minus the logarithm, and how it could be raised to plus or minus 1.
How come its two things at once, and how do I know which one to use?
I think you'll find him along with the skyhooks and tartan paint.
usually when you see two +/- signs in the same expression, they take the same sign if they're both +/-
IE: if you see +/- and +/-, the possible values are usually
+x+y or -x-y
and if you see +/- and -/+, you get
+x-y or -x+y
as for which sets to use - can you figure it out from context? my guess is that you'd want to use the -ln() term if your v was larger than l so that you still have a positive term, and then take the inverse of that to represent that it's a small value