More then 3 planets.

It’s not a hierarchy. They protect different things.

For trademark they try to determine if a normal person could confuse it for an existing trademark. So a drink called cocaKola with white lettering on a red background isn’t going to get protection. You could easily think you are buying a Coke but you are not.

You register to help get your origin date on record. Being first is super important in a trademark dispute. It also helps to show that a infringer should have known about your trademark because it was registered.

Patent means you can’t take my idea and use it without my permission no matter what you call it. Patent pending means we asked for a patent but don’t have it yet. If you copy our idea and we get the patent we can come after you.

It’s not a hierarchy of enforcability but they grant different protections for different lengths of time.

So trademark is you can’t call your soda Coke forever if they maintain trademark. But you can make a different identical tasting soda with a different name.

Copyright means you can’t make a copy of Harry Potter until the copyright ends 70 years after the author dies. You can however make your own story about a boy who goes to wizard school and fights a previously defeated evil.

Patent gives you the most protection because they protect the idea but only last up to 20 years depending on the type. So the RISC patent meant you couldn’t make a computer with fewer instructions allowing it to go faster until it expired.

I hope your shoes are clean.

I’d shot for supercoolent next. With that and a proper counterflow exchanger a sour gas boiler is just a lot of construction.

You can always vent the gas to space. Door crushers work great if you don’t mind exploits. Sour gas is useless until late game.

You should liquid lock your base to prevent unwanted gases from getting in.

My best tip for oni is after 4 dupes the number of dupes is the difficulty setting. Grow slowly.

Yeah. The thing that made me “get” quaternions was thinking about clocks. The hands move around in a 2d plane. You can represent the tips position with just x,y. However the axis that they rotate around is the z axis.

To do a n dimensional rotation you need a n+1 dimensional axis. So to do a 3D rotation you need a 4D axis. This is bassicly a quat.

You can use trig to get there in parts but it requires you to be careful to keep your planes distinct. If your planes get parallel you get gimbal lock. This never happens when working with quats.

No. It’s more what the previous poster said about encoding rotation. It’s just not a xyz axes. It’s current, charge, flux as axes. The trig is how you collapse the 3d system into a 2d or 1d projection. You lose some information but it’s more useful from a spefic reference.

Without complex numbers you can’t properly represent the information.

Yeah a good friend of mine has a PHD in math. I asked him how he would describe math. His answer was a set of rules for dealing with numbers. What’s important is how useful the rules are.

Yup. When you have a circuit that is not purely resistive the inductive or capacitive load causes the voltage and current to not be in phase. It looks like ohms law is being violated. However the missing part of the energy is in the imaginary component to be returned latter.

Which is odd that some people care so much about this. Games Workshop used to make female space marine models but stopped because they didn’t sell well.

My head canon is that with all the hormones to boost mucles, organs changed out, bones merged with ceramics, extra heart, special space marine reproductive organ in the chest, black carapace, acid spit, memory eating organ, etc. Doesn’t matter if you start with Judy Garland or Arnold Schwarzenegger you get Lou Ferrigno at the end.

That’s my thought. I think his plauges spread suffering and despair. Tempting you to join him as a follower making you no longer mind all of the suffering.

Until the show was banned from flying the helicopter and had to use recycled footage.

At my first job out of college they fired one of the new hires because he insisted on writing his own library instead of the functional and tested in house library. He was warned twice to use the existing library so it wasn’t out of the blue.

It’s a hot mess. Or it was 10 years when I was last forced to use it.

I remember there was one setting I needed to adjust from time to time. However the menu tree it was in had been removed leaving it a orphaned tree. So you couldn’t get to it through the ui. The only way to get to the setting was to go to a unrelated page in the documentation and click on the goto link in it. That would launch the menu that otherwise didn’t exist. From there you could back up and get into the menu to adjust the setting.