Abstract
A set is a collection of distinct objects with a precise description or mechanism for determining whether a given object belongs to the collection. If an object belongs to the collection it is called an element or a member of the set.
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Notes
- 1.
Notice there is no restriction that \(A\) and \(B\) belong to the same \(U\). They could come from two totally different universes.
- 2.
The same terminology is used for a correspondence.
- 3.
Even roots of numbers, like the square root or forth root, have two answers (\(\sqrt{4} = \pm 2\)). To stick with the definition of “function”, we must consider only one of the possible answers. In the text, if it is not stated otherwise, we will only consider the positive root of an even-root of a number.
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Vali, S. (2014). Sets and Functions. In: Principles of Mathematical Economics. Mathematics Textbooks for Science and Engineering, vol 3. Atlantis Press, Paris. https://doi.org/10.2991/978-94-6239-036-2_3
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DOI: https://doi.org/10.2991/978-94-6239-036-2_3
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