# How do you interpret algebraic expressions in terms of their context?

A few examples...

I wonder about the context of this question, but here are a few ideas as to the sort of thing to which you might be referring...

~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~

In integer arithmetic:

In rational arithmetic:

~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~

In real arithmetic:

In complex arithmetic:

~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~

In integer arithmetic:

In Gaussian integer arithmetic:

~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~

In rational arithmetic:

is not factorable.

In real arithmetic:

is factorable.

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In real arithmetic:

has no roots.

In complex arithmetic:

has two roots.

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In real arithmetic:

is a one to one function.

In complex arithmetic:

is a many to one function.

~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~

In integer arithmetic any integer is odd or even but not both.

~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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