Symbol for Integers: Z or I or both?

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Homework Help Overview

The discussion revolves around the notation for the set of integers, specifically the symbols ##\mathbb{Z}## and "I". Participants are exploring the validity and acceptance of these symbols in mathematical literature.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants are questioning the correctness of using "I" versus ##\mathbb{Z}## for integers, with some noting that they have seen both used in various contexts. There is a discussion about the importance of defining notation conventions in mathematical texts.

Discussion Status

There is a recognition that both symbols may be acceptable in different contexts, with some participants sharing personal experiences regarding their usage. The conversation is ongoing, with no explicit consensus reached on the matter.

Contextual Notes

Some participants mention that "I" is commonly used in computer science, particularly in relation to variable naming conventions, while others note that it may also refer to irrational numbers in some texts. The discussion highlights the variability in notation across different sources.

Astro
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Homework Statement
Personal Question: Internet says the standardized math symbol for integers is ##\mathbb {Z}##. However, my Alberta MathPower 10 (Western Edition) textbook from 1998 says the symbol is I. I'm guessing the textbook is wrong? Or are both answers correct?
Relevant Equations
not applicable (see homework statement)
Personal Question:

Internet says the standardized math symbol for integers is ## \mathbb {Z}##. However, my Alberta MathPower 10 (Western Edition) textbook from 1998 says the symbol is I. I'm guessing that textbook is wrong? Or are both answers correct?
 
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Astro said:
Homework Statement:: Personal Question: Internet says the standardized math symbol for integers is ##\mathbb {Z}##. However, my Alberta MathPower 10 (Western Edition) textbook from 1998 says the symbol is I. I'm guessing the textbook is wrong? Or are both answers correct?
Relevant Equations:: not applicable (see homework statement)

Personal Question:

Internet says the standardized math symbol for integers is ## \mathbb {Z}##. However, my Alberta MathPower 10 (Western Edition) textbook from 1998 says the symbol is I. I'm guessing that textbook is wrong? Or are both answers correct?
I've never seen I used to represent the set of integers in any textbook. Instead, I've seen only ##\mathbb Z## used for this purpose. It comes from the German zahlen, (numbers).
 
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I've seen them both used (I don't remember if in books or articles). They are both acceptable. There is no mathematics enforcement police squad that needs to be satisfied. It is necessary to carefully define any notation conventions that will be used in a book or document, whether they are standard or not.
 
"I" or "i" is popular in CS circles ; blame Fortran, with its default of i-thru-n field names standing for type integers.
 
hmmm27 said:
"I" or "i" is popular in CS circles ; blame Fortran, with its default of i-thru-n field names standing for type integers.
But these are just identifiers for integer variables, not symbols that represent the set of integers, which is the topic at hand in this thread.
 
It is just a matter of convention the author chose. Z is the standard, from my own personal experience, and I have seen I used for the set of all irrational numbers in one book.

Whats important that every time you see I in your book. You know that they are referring to the set of all integers. If you may use another book, they may use the Z notation. For more advance books, it is important to read the first pages, to see what notation the author uses.
 
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