Just get an even worse song stuck in your head, like this one: https://youtu.be/lrPncVUR_3Y

5 guys burger with two patties, bacon, cheese, lettuce, tomato, grilled onion, and bbq sauce on a brioche bun (order number 44)

Nice catch. The carpet wear corroborates this.

Nail on the head

Am I stupid? Where’s New Hampshire?

Undertale also has really bad code and it’s a great game

My point is that the way that you stick two real numbers together to make a complex number is important, and is unintuitive if you approach it as just two real numbers.

SOURCE: LAWS OF PHYSICS

I’m being combative because I don’t get how you don’t understand our argument, and because I view claims like “You keep claiming things that are objectively false” to be hostile when they stem from a misunderstanding rather than a fault on my part.

Let me restate my main point: complex numbers can be defined as vectors with the necessary rules to define various operations, such as multiplication over them and how they relate to sqrt(-1). Those additional rules are just as important to their definition as their appearance as two real-numbered values is. Both vectors and complex numbers are defined by humans, but we have chosen to give them separate definitions, because each definition includes the rules defining these operations and relationships, and they are different between the two types of mathematical object.

And, for the record, I downvoted your posts that were hostile (not all of them) and responded in kind. It’s a separate effort than trying to prove my point here.

Did he do anything wrong in the first place? I haven’t followed him in a while. Besides the bridge incident of course…

Right, but you need to specify that additional definition. Imaginary numbers are useful because they come pre-loaded with all those additional definitions about how to handle operations that use them.

I also find your hostile confusion unwarranted, given two other commenters have pointed out the same flaw in your argument that I have.

I’m reading this after lemm.ee is gone

Please read the rest of the comment

Bro found the block button

Your points don’t get better just because you coined/found a new term

Man, that’s a sweet ass-car.

There’s research in this area, I don’t feel like debating it as if it were a matter of opinion.

A math discovery unmotivated by research in other fields; just discovering math to see if it works out

I don’t think this is really an accurate way of thinking about them. Yes, they can be mapped to a 2d plane, so you can represent them with their two real-numbered coordinates along the real and imaginary axes, but certain operations with them (eg. multiplication) can be done easily with complex numbers but are not obvious how to carry out with just grid points. (3,4) * (5,6) isn’t well-defined, but (3+4i) * (5+6i) is.