Is this the correct way to quantify these integers?

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In summary, the quantifier ##\forall a,b,c,d\in \mathbb Z - \{0\}## is non-standard but as long as the reader understands its meaning, it is acceptable. A more correct way to represent nonzero integers would be ##\forall a, b, c, d\in\mathbb{Z}_{\neq 0}## or ##\{ a, b, c, d \} \subset \mathbb{Z} - \{ 0 \}##.
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TL;DR Summary
I just have this random question and I was wondering if the following quantifier below is correct to represent/symbolize nonzero integers ## a, b, c, d ##:
## \forall a, b, c, d\in\mathbb{Z}_{\neq 0} ##
Does the above quantifier represent/symbolize that all of the integers ## a, b, c, d ## cannot be ## 0 ##? Is this correct?
 
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  • #2
It is non-standard, but all that really matters is that the reader understands what you mean. I think they will.
If you want to write it perfectly correctly you could write:
$$\forall a,b,c,d\in \mathbb Z - \{0\}$$
 
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Math100 said:
TL;DR Summary: I just have this random question and I was wondering if the following quantifier below is correct to represent/symbolize nonzero integers ## a, b, c, d ##:
## \forall a, b, c, d\in\mathbb{Z}_{\neq 0} ##

Does the above quantifier represent/symbolize that all of the integers ## a, b, c, d ## cannot be ## 0 ##? Is this correct?
Or, perhaps ##\{ a, b, c, d \} \subset \mathbb{Z} - \{ 0 \}##

-Dan
 
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1. What is the purpose of quantifying integers?

The purpose of quantifying integers is to assign a numerical value to a set of integers in order to make comparisons and draw conclusions about the data.

2. How do you determine the correct way to quantify integers?

The correct way to quantify integers depends on the specific research question or problem being addressed. It may involve using a specific mathematical formula or statistical method to accurately represent the data.

3. Can different methods be used to quantify integers?

Yes, there are various methods that can be used to quantify integers, such as mean, median, mode, range, and standard deviation. The choice of method depends on the type of data and the research question.

4. Is there a "right" or "wrong" way to quantify integers?

There is no one "right" way to quantify integers. The most appropriate method will depend on the data and the research question. However, it is important to use a method that is statistically valid and accurately represents the data.

5. How can I ensure that I am quantifying integers correctly?

To ensure that you are quantifying integers correctly, it is important to consult with a statistician or use verified mathematical formulas and methods. It is also helpful to double-check your calculations and results to identify any potential errors.

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