Definition of Preorder. Meaning of Preorder. Synonyms of Preorder

Here you will find one or more explanations in English for the word Preorder. Also in the bottom left of the page several parts of wikipedia pages related to the word Preorder and, of course, Preorder synonyms and on the right images related to the word Preorder.

Definition of Preorder

Preorder
Preorder Pre*or"der, v. t. To order to arrange beforehand; to foreordain. --Sir W. Hamilton.

Meaning of Preorder from wikipedia

- especially in order theory, a preorder or quasiorder is a binary relation that is reflexive and transitive. Preorders are more general than equivalence...
- up preorder in Wiktionary, the free dictionary. The term preorder may refer to: In mathematics: Preorder, a reflexive, transitive relation Preorder field...
- and are in turn generalized by (strictly) partially ordered sets and preorders. There are several common ways of formalizing weak orderings, that are...
- while (leaf + 1) % (k * 2) ≠ k i ← (i - 1)/2 k ← 2 * k return i procedure preorder(array) i ← 0 while i ≠ array.size visit(array[i]) if i = size - 1 i ← size...
- mathematics known as topology, the specialization (or canonical) preorder is a natural preorder on the set of the points of a topological space. For most spaces...
- canonical preorder (specialization preorder) we obtain a representation of the interior algebra as a canonical preorder field. By replacing the preorder by its...
- In mathematics, a directed set (or a directed preorder or a filtered set) is a nonempty set A {\displaystyle A} together with a reflexive and transitive...
- simulation preorder — is indeed a preorder relation. Note that there can be more than one relation which is both a simulation and a preorder; the term...
- specialization preorders. Indeed, given any preorder ≤ on a set X, there is a unique Alexandrov topology on X for which the specialization preorder is ≤. The...
- {\displaystyle \left(I_{a},\leq \right)} is a preordered set. Then the product preorder on ∏ a ∈ A I a {\displaystyle \prod _{a\in A}I_{a}} is defined by declaring...