What is the meaning of this expression ?

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In summary, Z/mZ is the set of integers modulus n, where n is the quotient group. If n=1, Z/mZ contains the integers 0 through n-1. When m=2, Z/mZ represents a binary system. However, the meaning of (1) is unknown. The letter 'Z' refers to the set of positive integers. This only makes sense if n divides m, making mZ a subgroup of nZ. In this case, n can be factored out and Z/m'Z is isomorphic to Z/mZ. Although they are not equal, the cosets are different but isomorphic.
  • #1
zetafunction
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[tex] nZ/mZ [/tex]

where / means a quotient group

if n=1 then [tex] Z/mZ [/tex] is the set of integers modulus n {0,1,2,3,4,...,n-1} in case

m=2 we have a binary system, but i do not know what (1) will mean

of ocurse 'Z' means the set of all (positive) integers.
 
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  • #2
What is (1)?

Anyway, this only makes sense if n divides m as you need mZ to be a subgroup of nZ.

In this case you can just factor n out and be left with something isomorphic to Z/m'Z where m=nm'.

They are not equal - the the cosets are different but they are isomorphic.
 

1. What is the definition of this expression?

The meaning of an expression refers to the intended message or concept that it conveys. It is the interpretation or understanding of what the expression is trying to communicate.

2. How do you determine the meaning of an expression?

The meaning of an expression can be determined by analyzing its context, syntax, and semantics. This involves examining the words used, their order and structure, as well as the intended audience and purpose of the expression.

3. Why is it important to understand the meaning of an expression?

Understanding the meaning of an expression is important because it allows us to effectively communicate and comprehend ideas and information. It also helps us to avoid misinterpretations and misunderstandings.

4. Can the meaning of an expression change over time?

Yes, the meaning of an expression can change over time as language evolves and societal norms and values shift. It can also be influenced by cultural, historical, and contextual factors.

5. How does the meaning of an expression differ from its literal interpretation?

The meaning of an expression is the intended message or concept behind it, while the literal interpretation is the surface level understanding of the words used. The meaning can go beyond the literal interpretation and may vary depending on the context and perspective of the individual interpreting it.

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