1. Definition of a function: a function is a mapping of one set of numbers to another set of numbers. The first set is called the domain and the other set is called the co-domain. A function has to satisfy two properties.
The first one is that every element in the domain must respond to an element in the co-domain.
The second is that no two elements in the co-domain respond to the same element in the domain.
2. Definition of a transform: a transform is the mapping of a set of functions to another set of functions.
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