Page 9 of 22
Posted: Sun Oct 24, 2021 2:52 pm
by Loneli
249+11i
Posted: Sun Oct 24, 2021 2:53 pm
by Jake The Wolfie
249 + 13i
-i
-2i
-3i
...
-100i
-101i
...
-1000...000i
...
...
-Ωi
-(Ω+1)i
-(Ω+2)i
...
-2Ωi
-(2Ω+1)i
-(2Ω+2)i
...
...
etc
Posted: Sun Oct 24, 2021 2:56 pm
by Ythan
248 + 13i
You've skipped an i.
Posted: Sun Oct 24, 2021 2:58 pm
by Ircher
In post 201, Jake The Wolfie wrote:249 + 13i
-i
-2i
-3i
...
-100i
-101i
...
-1000...000i
...
...
-Ωi
-(Ω+1)i
-(Ω+2)i
...
-2Ωi
-(2Ω+1)i
-(2Ω+2)i
...
...
etc
I should clarify. How do you propose we order the complex numbers including "complex" ordinals? For instance, is "1 + 5i" less than, greater than, or equal to "3 + 2i"?
249 + 13i
Posted: Sun Oct 24, 2021 2:59 pm
by Ythan
248 + 13i
Posted: Sun Oct 24, 2021 3:04 pm
by Loneli
249+13i
What does 13i mean?
Posted: Sun Oct 24, 2021 3:08 pm
by Ythan
249 + 12i
Thirteen imaginary units.
Posted: Sun Oct 24, 2021 3:12 pm
by Jake The Wolfie
248 + 13i
Well, in non-complex numbers you order them by biggest to smallest. This can be done by considering that positive numbers have dexter distance from 0, and negative numbers have sinister distance from 0.
Moving this up to the complex plane, we can order numbers by both their real and imaginary distance from their respective 0 axis. The point 2 + 3i would have the same distace as 3 + 2i, but not the same as -2 + 3i, since the -2 has sinister distance from 0.
All of this to say that if you draw concentric circles around 0 + 0i, the positive complex numbers (where they would look like |x| + |y|i) would have the exact same dexter distance from 0 (and would thus all be ordered the same way), while all negative complex numbers (where they look like -|x| - |y|i) would have the same sinister distance from 0, and would be ordered behind the positive complex numbers. Meanwhile the mixed complex numbers (in the form or either -|x| + |y|i or |x| - |y|i) would have their dexter and sinister values added up, and ordered as such. None of these numbers would ever have a greater or smaller distance from 0 than Positive or negative complex numbers, and thus would fill the ordered continuum between the positive complex max and the negative complex min
All of this to say that you add dexter distance from the component's axis and subtract sinister distance from the axis.
Posted: Sun Oct 24, 2021 3:14 pm
by Ythan
247 + 13i
Yeah that.
Posted: Sun Oct 24, 2021 3:37 pm
by Jake The Wolfie
247 + 14i
Posted: Sun Oct 24, 2021 3:38 pm
by Ythan
246 + 14i
Posted: Sun Oct 24, 2021 3:46 pm
by Jake The Wolfie
246 + 15i
Posted: Sun Oct 24, 2021 3:50 pm
by Ythan
245 + 15i
Makes the dream work.
Posted: Sun Oct 24, 2021 4:01 pm
by Jake The Wolfie
245 + 16i
Posted: Sun Oct 24, 2021 4:07 pm
by Ythan
244 + 16i
Posted: Sun Oct 24, 2021 4:11 pm
by Ircher
244 + 16i + j + 0k
Posted: Sun Oct 24, 2021 4:44 pm
by Jake The Wolfie
244 + 16i
No, fuck your quaternions. All my homies hate your quaternions
Posted: Sun Oct 24, 2021 5:32 pm
by Ythan
243 + 16i
Posted: Sun Oct 24, 2021 7:43 pm
by Loneli
242+16i
Posted: Sun Oct 24, 2021 7:52 pm
by Ythan
241+16i
Posted: Sun Oct 24, 2021 8:59 pm
by Jake The Wolfie
241 + 17i
Posted: Sun Oct 24, 2021 9:01 pm
by Ythan
240 + 17i
Posted: Sun Oct 24, 2021 9:03 pm
by Jake The Wolfie
240 + 18i
Posted: Sun Oct 24, 2021 9:05 pm
by Ythan
239 + 18i
I can't wait for them to meet.
Posted: Sun Oct 24, 2021 9:08 pm
by Jake The Wolfie
239 + 19i
Graphing this will just be a diagonal lineish