Thank you very much professor. I was looking for this video . I couldn't understand this topic clearly when it was covered in basic number theory class but now this topic is crystal clear for me. Thank you once again.
On the 1st example 3(+)3=2 I noticed that since 3+3=6, then 6/4=1R2, since 2 is an element of Z(mod4) then 3(+)3=2. What happens is someone had simplified 6/4=3/2 then =1R1. Is 3(+)3=1, Since 1 € of Z(mod4)?
Thank you very much professor. I was looking for this video . I couldn't understand this topic clearly when it was covered in basic number theory class but now this topic is crystal clear for me. Thank you once again.
You are welcome!
You explain this so clearly compared to my Discrete Textbook thank you!
So when you write 9=1, does that mean, the equal sign is defined relative to the group?
This is what I needed
On the 1st example 3(+)3=2
I noticed that since 3+3=6, then 6/4=1R2, since 2 is an element of Z(mod4) then 3(+)3=2.
What happens is someone had simplified 6/4=3/2 then =1R1. Is 3(+)3=1, Since 1 € of Z(mod4)?
i think that due to each operation being set-relative, you wouldnt really perform simplification under the modulo action
difficult T_T
hehe