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Consistent plurals and changed things up as I found the (I think) nested hyphens quite jarring.
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@ -99,7 +99,7 @@ Here is a function $f$, which converts each ball from the set $R$ to the ball wi
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![Opposite colors](../01_set/function_one_one.svg)
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![Opposite colors](../01_set/function_one_one.svg)
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This is probably one of the simplest type of functions that exist — one which encodes a *one-to-one relationship* between the sets — *one* element from the source is connected to exactly *one* element from the target (and the other way around).
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This is probably one of the simplest type of function that exists — it encodes a *one-to-one relationship* between the sets. That is to say, *one* element from the source is connected to exactly *one* element from the target (and the other way around).
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But functions can also express relationships of the type *many-to-one*, where *many* elements from the source might be connected to *one* element from the target (but not the other way around). For example, a function can express a relationship in which several elements from the source set relate to the same element of the target set.
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But functions can also express relationships of the type *many-to-one*, where *many* elements from the source might be connected to *one* element from the target (but not the other way around). For example, a function can express a relationship in which several elements from the source set relate to the same element of the target set.
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