different between reservation vs preorder

English

Etymology

From Middle French reservation.

Pronunciation

• (Received Pronunciation) IPA^(key): /???z??ve???n/
• (US) IPA^(key): /???z??ve???n/
• Rhymes: -e???n

Noun

reservation (countable and uncountable, plural reservations)

1. The act of reserving, withholding or keeping back.

   The committee authorised the reservation of funds.

   1. The practice of reserving part of the consecrated bread of the Eucharist for the communion of the sick.
   2. The act of the pope to reserve to himself the right to nominate to certain benefices.
2. Something that is withheld or kept back.
3. (often in the plural) A limiting qualification regarding certainty; a doubt.

   I have reservations about your intentions.

4. (US) A tract of land set apart by the US government for the use of a Native American people; Indian reservation (compare Canadian reserve).
5. An arrangement by which accommodation or transport arrangements are secured in advance.
6. (Britain) The area which separates opposing lanes of traffic on a divided motorway or dual carriageway; see also central reservation.

   A vehicle crashed through the central reservation into the path of oncoming traffic.

7. (India) The setting aside of a certain percentage of vacancies in government institutions for members of backward and underrepresented communities (defined primarily by caste and tribe).

Synonyms

• (advance arrangement): booking
• (central reservation, motorway lane separator): median, median strip
• (Indian reservation): reserve, res, rez

Related terms

• mental reservation
• off the reservation
• reserve

Translations

Anagrams

• veratrosine

Middle French

Noun

reservation f (plural reservations)

1. reservation (limiting qualification)

Descendants

• English: reservation
• French: réservation

English

Etymology

pre- +? order.

Verb

preorder (third-person singular simple present preorders, present participle preordering, simple past and past participle preordered)

1. (transitive) To order (goods or services) in advance, before they are available.
2. (transitive) To sort or arrange beforehand.

Translations

Noun

preorder (plural preorders)

1. An order for goods or services placed in advance.
2. (set theory, order theory) A binary relation that is reflexive and transitive.
   • 2002, Yves Nievergelt, Foundations of Logic and Mathematics, Springer (Birkhäuser), page 152,

     Example 436 For each set ${\displaystyle A}$, the relation ${\displaystyle \subseteq }$ is a preorder on ${\displaystyle {\mathcal {P}}(A)}$.

   • 2010, S. Kaci, Refined Preference-Based Argumentation Frameworks, Pietro Baroni, F. Cerutti, M. Giacomin, G. R. Simari (editors), Computational Models of Argument: Proceedings of COMMA 2010, IOS Press, page 306,

     Let us first compare ${\displaystyle S_{1}}$, ${\displaystyle S_{2}}$ and ${\displaystyle S_{3}}$ w.r.t. the partial preorder ${\displaystyle \succeq }$.

   • 2000, Jean-Charles Pomerol, Sergio Barba-Romero, Multicriterion Decision in Management: Principles and Practice, Springer, Softcover, page 58,

     It can easily be verified that the above relation is a preorder, i.e. that it is reflexive and transitive.

Synonyms

• (binary relation that is reflexive and transitive): quasiorder

Hyponyms

• (binary relation that is reflexive and transitive):
  • partial order
    • total order
      • well-order

Derived terms

• preorder algebra
• preorder atom
• preorder functor
• strict preorder

Related terms

• preordered set

Translations

Adjective

preorder (not comparable)

1. (computing theory, of a traversal of a tree) Such that, recursively, the root is visited before the left and right subtrees.
   • 2002, Gabriel Valiente, Algorithms on Trees and Graphs, Springer, page 115,

     Now, the preorder traversal of a tree can be constructed from the preorder traversals of the subtrees rooted at the children of the root of the tree.

   • 2006, ISRD Group, Data Structures Using C, Tata McGraw-Hill Education, page 254,

     In the program given above, tree is constructed and is traversed in inorder, preorder and postorder traversal.

   • 2011, Ananda Rao Akepogu, Radhika Raju Palagiri, Data Structures and Algorithms Using C++, Pearson Education India, page 9.16,

     The preorder traversal visits a node first after which it traverses its left subtree and then traverses its right subtree.

Coordinate terms

• inorder
• postorder

Hypernyms

• depth-first