👉 In the context of computer science and mathematics, an "orderer" is a function or data structure that orders its elements in a way that satisfies certain properties such as being monotonic, having a constant time complexity for basic operations like insertion, deletion, and searching, and possibly also allowing for some sort of ordering (such as lexicographical order) on the output. In other words, it is a function or data structure that can be used to quickly access elements in a sorted list or array