Considering the state of Ubuntu, probably the "easiest" to use desktop out there at the moment, my freedom is second to my ability to get a working desktop.
Reminds me of this video (Free as in free time; the freedom less mentioned by free software evangelists.) by Louis Rossmann: https://www.youtube.com/watch?v=KOjCJXHJhPg
Windows routinely would take hours to install, -and that would be a "pre-installed" image from the vendor.
Lately things have gotten a lot better but I have never chosen Linux because of freedom but rather always because of simplicity and usability .
Then again, usability is in they eye of the beholder it seems.
It's just not there. But yes, if you want to run Python, GCC or Ruby from the commandline, Linux is very capable of giving you a faster experience.
Out of those, I recognize "mathematical equations" as something I've ever tried, regardless of which software I've been using, and LibreOffice Math always fit my needs. The truth is, outside of programming, I don't use enough of the features of office software for it to make a difference which suite I use.
I'm not sure what you're trying to prove. That there are features in some Windows software that aren't in Linux software? Granted, but I don't see how that's relevant to my original comment.
Anyway, LibreOffice has been able to do all these things for a long time with Graphite fonts, and, since version 5.3, it can also do them with OpenType fonts.
"Blender is the free and open source 3D creation suite. It supports the entirety of the 3D pipeline—modeling, rigging, animation, simulation, rendering, compositing and motion tracking, even video editing and game creation."
Now its not the most intuitive pieces of software and you'll be spending a lot of time on youtube following tutorials, but its freely available and opensource.
Well, yeah, but I never claimed that Linux would be suitable for everyone's uses; just mine.
Image editing: I've never needed more than the Gimp. Why would I pay for something like Photoshop, full of features that I'll never use? It'd be like buying a power tool to assemble Ikea furniture.
Video project: I did a little in Windows XP with Windows Movie Maker, pasting together porn videos about 15 years ago, and conversions with stuff like Handbrake since then. I've never been inclined to do anything more advanced. It's not a need that I've had...but I've got Windows available if I did.
Try to master audio: Audacity covered all that I used to do, but honestly, I haven't used it in 5 years or so. Oh, plus some of my own waveform-generating and mixing software (simple stuff like generating audio for video game emulators).
LibreOffice: It, and previously OpenOffice, have covered every single need that I've had in the last 15 years. Granted, my needs have been simple, but I've never claimed differently.
It's as if I claimed that Windows is all I ever needed, and you came in asking how I intended to hack on the Linux kernel from Visual Studio...