Plus or Minus

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Post Post #200 (ISO) » Sun Oct 24, 2021 2:52 pm

Post by Loneli »

249+11i
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Post Post #201 (ISO) » Sun Oct 24, 2021 2:53 pm

Post 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
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Post Post #202 (ISO) » Sun Oct 24, 2021 2:56 pm

Post by Ythan »

248 + 13i

You've skipped an i.
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Post Post #203 (ISO) » Sun Oct 24, 2021 2:58 pm

Post 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
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Post Post #204 (ISO) » Sun Oct 24, 2021 2:59 pm

Post by Ythan »

248 + 13i
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Post Post #205 (ISO) » Sun Oct 24, 2021 3:04 pm

Post by Loneli »

249+13i

What does 13i mean?
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Post Post #206 (ISO) » Sun Oct 24, 2021 3:08 pm

Post by Ythan »

249 + 12i

Thirteen imaginary units.
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Post Post #207 (ISO) » Sun Oct 24, 2021 3:12 pm

Post 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.
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Post Post #208 (ISO) » Sun Oct 24, 2021 3:14 pm

Post by Ythan »

247 + 13i

Yeah that.
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Post Post #209 (ISO) » Sun Oct 24, 2021 3:37 pm

Post by Jake The Wolfie »

247 + 14i
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Post Post #210 (ISO) » Sun Oct 24, 2021 3:38 pm

Post by Ythan »

246 + 14i
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Post Post #211 (ISO) » Sun Oct 24, 2021 3:46 pm

Post by Jake The Wolfie »

246 + 15i
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Post Post #212 (ISO) » Sun Oct 24, 2021 3:50 pm

Post by Ythan »

245 + 15i

Makes the dream work.
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Post Post #213 (ISO) » Sun Oct 24, 2021 4:01 pm

Post by Jake The Wolfie »

245 + 16i
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Post Post #214 (ISO) » Sun Oct 24, 2021 4:07 pm

Post by Ythan »

244 + 16i
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Post Post #215 (ISO) » Sun Oct 24, 2021 4:11 pm

Post by Ircher »

244 + 16i + j + 0k
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Post Post #216 (ISO) » Sun Oct 24, 2021 4:44 pm

Post by Jake The Wolfie »

244 + 16i

No, fuck your quaternions. All my homies hate your quaternions
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Post Post #217 (ISO) » Sun Oct 24, 2021 5:32 pm

Post by Ythan »

243 + 16i
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Post Post #218 (ISO) » Sun Oct 24, 2021 7:43 pm

Post by Loneli »

242+16i
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Post Post #219 (ISO) » Sun Oct 24, 2021 7:52 pm

Post by Ythan »

241+16i
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Post Post #220 (ISO) » Sun Oct 24, 2021 8:59 pm

Post by Jake The Wolfie »

241 + 17i
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Post Post #221 (ISO) » Sun Oct 24, 2021 9:01 pm

Post by Ythan »

240 + 17i
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Post Post #222 (ISO) » Sun Oct 24, 2021 9:03 pm

Post by Jake The Wolfie »

240 + 18i
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Post Post #223 (ISO) » Sun Oct 24, 2021 9:05 pm

Post by Ythan »

239 + 18i

I can't wait for them to meet.
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Post Post #224 (ISO) » Sun Oct 24, 2021 9:08 pm

Post by Jake The Wolfie »

239 + 19i


Graphing this will just be a diagonal lineish
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