can you please tell me how to write Z10 and Z12 ? i never understood how they are written? Second question: 2. Can u please tell me why f ([x]10) = [x]12 is not a well defined function as you can see from the image? 3. Also with g: Z10 --> Z12, . Is this defined and why?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Im new to Abstract Algebra but I have read ch: 1 and now I'm at 2 that deals with functions.

My first Question:

  1. can you please tell me how to write Z10 and Z12 ? i never understood how they are written? 

Second question:

     2. Can u please tell me why f ([x]10) = [x]12 is not a well defined function as you can see from the image? 

     3. Also with g: Z10 --> Z12, . Is this defined and why? 

Please do explain in words and numbers but do make it easy on me to understand. Thank you! 

 

f: Z,722 by f(Cx2) = [x],z is not
a funution since [oJ,= [N],o, but
10
[10
noovon
12
12.
9: 40> 212 y FIEJ= [6], 5
Mou
function sinie if [a],=[6]o, then
sinie it [a]
,= [6]
10
a
60/6/-4) s 12/ ca -64
12 6a-66
10/a-6
12.
Transcribed Image Text:f: Z,722 by f(Cx2) = [x],z is not a funution since [oJ,= [N],o, but 10 [10 noovon 12 12. 9: 40> 212 y FIEJ= [6], 5 Mou function sinie if [a],=[6]o, then sinie it [a] ,= [6] 10 a 60/6/-4) s 12/ ca -64 12 6a-66 10/a-6 12.
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