I figured it out! Not with a log function, though :)
The idea was to find a nice smooth function that connected the line with the origin. I thought log functions were a good start, but they're really more of a pain than anything. The way I solved it is as follows:
1. I came up with a...
Yeah. I just figured this whole thing out. It only took me 10 straight hours or so :)
I will be cleaning up my solution and I'll post it in a bit :)
Thanks anyway :P
By smooth, I mean that the derivative of the function at the intersection point is defined. The idea was to use a logarithmic function (log_b(x)), but really, all I want it to do is to connect the origin to the line that doesn't go through the origin (b>0).
The simplest way is by using another...
Hi everyone!
I'm trying to find a smooth function that can replace the intersection of a continuous piecewise function made up of two lines of different slopes, one of which starts at the origin. Right now, I'm trying to find a logarithmic function that goes from the origin (or close to it)...
Hmm, I'd like to show you the equations I'm using just to get an okay so I know I'm doing this right. How would I copy mathematica's LaTeX output and paste it on the site? I don't want to have to copy an in-line equation :P
(First post. Go easy on me, mods :D)
EDIT: Seems I got the wrong forum. If a mod could be so kind to move it, I'd appreciate it :P
Hi everyone!
I'm working on a formal lab report for my physics class, and after propagating my uncertainties into a formula, I got an even smaller uncertainty...