Man, I had to stop at 2:38 because I needed to subscribe, and this is the very first video of yours that I've ever seen. Okay, I'll keep watching until the end. 👏🏻👏🏻👏🏻
Certainly - on the map of mathematical topics, this is well inside of my conquered domain, and here I function effectively as power surj-es through me!
This is not possible because ZxZ is a countable set. The Cartesian product of any countable set with itself is also countable, so one will not be able to map it onto the reals.
Man, I had to stop at 2:38 because I needed to subscribe, and this is the very first video of yours that I've ever seen. Okay, I'll keep watching until the end. 👏🏻👏🏻👏🏻
Thank you! I'm trying to make the most excellent videos I can on every topic. Let me know if you have any questions!
Looks like you are really onto something with surjections! 😊
Certainly - on the map of mathematical topics, this is well inside of my conquered domain, and here I function effectively as power surj-es through me!
@@WrathofMath the math dad jokes 🤣😭
Please do make a video for bijective🙏
Thank you
Glad to help, thanks for watching!
Write a surjective function f:z×z>R
This is not possible because ZxZ is a countable set. The Cartesian product of any countable set with itself is also countable, so one will not be able to map it onto the reals.
997 views, 😬😬😬😬