Descriptive differential dynamics: complex-complex numbers and defining division

Space-time, hologram, rest and motion, derivative-stopping and a stop-derivative, division's definition, the linear fractional equation and the identity dimension, operators and arithmetic, complex-complex numbers, mathematical attack and defense, point at infinity, contours and geometrical intuition, Jordan curve, complex topology, complex domains, Newton's laws, Newton's zero-eth laws.

[@user-kv8ck7op3i]

I wish I had the background to understand these topics in a more comprehensive manner. I would love if you could upload a general introductory video for each of these books/playlists.
Thanks for recording all these.

[@rossfinlayson]

What you do is explore each of the mentioned topics, you'll start to find they're all one big topic.

[@somecreeep]

26:00 If you construct a complex number whose entries are complex-valued, either you need a new i that interacts with the original i differently (much like the j of the quaternions), or you just get a complex number again. That is, if A+Bi = (a+bi)+(c+di)i, then that's (a-d)+(b+c)i which is back to a standard complex number, except now you've lost the fact that complex numbers defined to have real entries are unique; for example, (4+2i) + (3+1i)i = 3+5i = (7+4i) + (1+4i)i.
If you define a new i that interacts in some way with your standard i, (let's call it j for clarity), then you get numbers of the form A+Bi = (a+bj)+(c+dj)i = a + ci + bj + dji and you have to make a choice of what ji does. Clearly though, since there's a bj term, you're not working with a system that can be called complex numbers anymore. I'd guess from that form that you'd have to be working with a system that is morphic (whether iso- or homo- or something else, I don't know) to some class of hypercomplex numbers, which have been studied since the 1850s or earlier

[@rossfinlayson]

What you're getting at is even a recursive sort of definition, as what was introduced was a sort of left-complex and right-complex numbers, simply whether it's a + bi or ai + b, then those are only written in quadrants II and IV, because quadrant 1 is fulfilling this identity-dimension bit. Yeah, otherwise you figure all of mathematics is very well explored then that you'd wonder how it's possible at all to even have a style. That the complex numbers are just a diagram sitting on R^2, or, for example, that the definition of division of complex numbers _is a definition_ meaning _it's not a derivation_ so there are branches, of it, division in complex numbers, just like complex numbers are a branch themselves. In 1985 we knew that positive real numbers had at least two roots: the principal and any non-principal branches, and as here those are also singularities in a multiplicity theory.

[@gaiolobez]

Unwatchable

[@andrewyoonhobai8453]

something something mobius thingamajig something something time travel something something, gatekeeper negotiations

[@shailesh7593]

brodie got pressed when i questioned him 😭😭😭 he’s just blabbing incessantly on these videos 😹

[@rossfinlayson]

Won't shut up

[@shailesh7593]

is any of this even remotely correct? this whole channel is just you going on and on with mathematical jargon that seems unintelligible and illogical

[@rossfinlayson]

I'm correct. Go away then.

[@shailesh7593]

maybe write some of what you’re saying down? a weird way to show off your so called knowledge in mathematics with a bunch of books and a spinning globe 😭