Page 13 of 22

Posted: Tue Oct 26, 2021 4:13 pm
by Ircher
197 + 25i + dx

Posted: Tue Oct 26, 2021 4:17 pm
by Ythan
196 + 25i + dx

Posted: Tue Oct 26, 2021 4:18 pm
by Jake The Wolfie
196 + 26i

What is dx doing here? What
is
dx?

Posted: Tue Oct 26, 2021 4:21 pm
by Ircher
dx is what we call a differential, an infinitesimal change so small that you can keep adding it to itself and never reach 1.

196 + 26i + dx

Posted: Tue Oct 26, 2021 4:24 pm
by Ythan
195 + 26i + dx

Infinitesimally small dx

Posted: Tue Oct 26, 2021 4:26 pm
by Ircher
195 + 25i + dx

Posted: Tue Oct 26, 2021 4:30 pm
by Jake The Wolfie
195 + 26i

You won't notice my infinitesimally small removal of it and adding +i.

Posted: Tue Oct 26, 2021 4:34 pm
by Ircher
194 + 26i - dx

Posted: Tue Oct 26, 2021 4:35 pm
by Ythan
194 + 26i - dx

Posted: Tue Oct 26, 2021 4:38 pm
by Jake The Wolfie
194 + 27i - ndx, where n is the smallest number that, when multiplied by dx, equals 1.

Posted: Tue Oct 26, 2021 4:50 pm
by Ircher
Ah but differentials don't obey the Archimedean Property like the real numbers do. I'm afraid no such n exists.

194 + 28i - 2 dx

Posted: Tue Oct 26, 2021 5:01 pm
by Ythan
193 + 28i - 2dx

Posted: Tue Oct 26, 2021 5:02 pm
by Jake The Wolfie
193 + 30i + 2ndx, where n is equivalent to 1/dx

Posted: Tue Oct 26, 2021 5:03 pm
by Ythan
194 + 30i

Posted: Tue Oct 26, 2021 5:04 pm
by Jake The Wolfie
194 + 31i

Posted: Tue Oct 26, 2021 5:04 pm
by Ythan
193 + 31i

Posted: Tue Oct 26, 2021 5:07 pm
by Jake The Wolfie
193+32i

Posted: Tue Oct 26, 2021 5:08 pm
by Ythan
192 + 32i

Posted: Tue Oct 26, 2021 5:09 pm
by Jake The Wolfie
191+33i

Posted: Tue Oct 26, 2021 5:18 pm
by Ythan
190 + 33i

Posted: Tue Oct 26, 2021 5:20 pm
by Jake The Wolfie
190+34i

Posted: Tue Oct 26, 2021 5:31 pm
by Ythan
189 + 34i

Posted: Tue Oct 26, 2021 5:37 pm
by Jake The Wolfie
189 + 35i

Posted: Tue Oct 26, 2021 5:47 pm
by Ythan
188 + 35i

Posted: Tue Oct 26, 2021 5:53 pm
by Jake The Wolfie
188 + 36i