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Glite Dictionary
🛒 An advance order 🛒 To order early 🔢 A math relation
preorder

preorder

9.9
A relation that is reflexive and transitive
  • noun
  • /ˈpriˌɔrdər/
  • Specialized
translation icon : preorden
  • Understanding the concept of a preorder is essential for studying advanced topics in order theory.

Examples

  • The properties of a preorder help define how elements are related to one another within a set.

  • And with an account-wide steed, you don't have to hike all the way up to Henstacer's farm. Those who have the horse quest get a free map (and /reclaim), but they have the preorder steed, making the map redundant.

    Blog text (7)

  • In mathematics, a preorder is a relation that is both reflexive and transitive, which allows for the organization of elements in a set.

Surface Forms

preorder singular
preorders plural

Morphology

preorder = order (opaque) = pre + order

The term 'preorder' in this context refers to a specific mathematical concept that is not directly derivable from the meanings of 'pre' and 'order'.

Etymology

Preorder The word preorder in mathematics comes from pre- meaning 'before' and order meaning 'an arrangement or rule'. So a mathematical preorder is an 'order' that comes 'before' a full or stricter order, meaning it is a simpler kind of ordering without one extra rule.