memes

10397 readers

1782 users here now

Community rules

1. Be civil

No trolling, bigotry or other insulting / annoying behaviour

2. No politics

This is non-politics community. For political memes please go to !politicalmemes@lemmy.world

3. No recent reposts

Check for reposts when posting a meme, you can only repost after 1 month

4. No bots

No bots without the express approval of the mods or the admins

5. No Spam/Ads

No advertisements or spam. This is an instance rule and the only way to live.

founded 1 year ago

MODERATORS

800

submitted 5 months ago by The_Picard_Maneuver@lemmy.world to c/memes@lemmy.world

85 comments fedilink hide all child comments

you are viewing a single comment's thread
view the rest of the comments

[–] kogasa@programming.dev 2 points 5 months ago* (last edited 5 months ago)

Yup, you'll notice the only thing distinguishing C from R^(2) is that multiplication. That one definition has extremely broad implications.

For fun, another definition is in terms of 2x2 matrices with real entries. The identity matrix

1 0
0 1

is identified with the real number 1, and the matrix

0 1
-1 0

is identified with i. Given this setup, the normal definitions of matrix addition and multiplication define the complex numbers.