See preorder on Wiktionary
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{
"text": "2000, Jean-Charles Pomerol, Sergio Barba-Romero, Multicriterion Decision in Management: Principles and Practice, Springer, Softcover, page 58,\nIt can easily be verified that the above relation is a preorder, i.e. that it is reflexive and transitive."
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"ref": "2002, Yves Nievergelt, Foundations of Logic and Mathematics, Springer (Birkhäuser), page 152:",
"text": "Example 436 For each set A, the relation #92;subseteq is a preorder on #92;mathcal#123;P#125;(A).",
"type": "quotation"
},
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"ref": "2010, S. Kaci, “Refined Preference-Based Argumentation Frameworks”, in Pietro Baroni, F. Cerutti, M. Giacomin, G. R. Simari, editors, Computational Models of Argument: Proceedings of COMMA 2010, IOS Press, page 306:",
"text": "Let us first compare S#95;1, S#95;2 and S#95;3 w.r.t. the partial preorder #92;succeq.",
"type": "quotation"
},
{
"text": "2000, Jean-Charles Pomerol, Sergio Barba-Romero, Multicriterion Decision in Management: Principles and Practice, Springer, Softcover, page 58,\nIt can easily be verified that the above relation is a preorder, i.e. that it is reflexive and transitive."
}
],
"glosses": [
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],
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[
"set theory",
"set theory"
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[
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"binary relation"
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[
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],
[
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"transitive"
]
],
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],
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"order-theory",
"sciences",
"set-theory"
]
}
],
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"tags": [
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},
{
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"note": "most common",
"tags": [
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"General-American"
]
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"tags": [
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"tags": [
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"New-Zealand"
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}
],
"synonyms": [
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"word": "quasiorder"
}
],
"translations": [
{
"code": "bg",
"lang": "Bulgarian",
"lang_code": "bg",
"roman": "predvarítelna porǎ́čka",
"sense": "order in advance",
"tags": [
"feminine"
],
"word": "предвари́телна поръ́чка"
},
{
"code": "fi",
"lang": "Finnish",
"lang_code": "fi",
"sense": "order in advance",
"word": "ennakkotilaus"
},
{
"code": "de",
"lang": "German",
"lang_code": "de",
"sense": "order in advance",
"tags": [
"feminine"
],
"word": "Vorbestellung"
},
{
"code": "el",
"lang": "Greek",
"lang_code": "el",
"roman": "proparangelía",
"sense": "order in advance",
"tags": [
"feminine"
],
"word": "προπαραγγελία"
},
{
"code": "mk",
"lang": "Macedonian",
"lang_code": "mk",
"roman": "prednaračka",
"sense": "order in advance",
"tags": [
"feminine"
],
"word": "преднарачка"
},
{
"code": "ru",
"lang": "Russian",
"lang_code": "ru",
"roman": "predzakaz",
"sense": "order in advance",
"tags": [
"masculine"
],
"word": "предзаказ"
},
{
"code": "sh",
"lang": "Serbo-Croatian",
"lang_code": "sh",
"sense": "order in advance",
"tags": [
"feminine"
],
"word": "prednarudžba"
},
{
"code": "cs",
"lang": "Czech",
"lang_code": "cs",
"sense": "binary relation",
"tags": [
"neuter"
],
"word": "předuspořádání"
},
{
"code": "fi",
"lang": "Finnish",
"lang_code": "fi",
"sense": "binary relation",
"word": "esijärjestys"
},
{
"code": "de",
"lang": "German",
"lang_code": "de",
"sense": "binary relation",
"tags": [
"feminine"
],
"word": "Präordnung"
},
{
"code": "pl",
"lang": "Polish",
"lang_code": "pl",
"sense": "binary relation",
"tags": [
"masculine"
],
"word": "praporządek"
},
{
"code": "ru",
"lang": "Russian",
"lang_code": "ru",
"roman": "predporjádok",
"sense": "binary relation",
"tags": [
"masculine"
],
"word": "предпоря́док"
},
{
"code": "es",
"lang": "Spanish",
"lang_code": "es",
"sense": "binary relation",
"tags": [
"masculine"
],
"word": "preorden"
}
],
"word": "preorder"
}
{
"categories": [
"English adjectives",
"English countable nouns",
"English entries referencing missing etymons",
"English entries with etymology texts",
"English entries with etymology trees",
"English entries with incorrect language header",
"English lemmas",
"English nouns",
"English terms derived from the Proto-Indo-European root *per- (before)",
"English terms derived from the Proto-Indo-European root *preh₂-",
"English terms prefixed with pre-",
"English uncomparable adjectives",
"English verbs",
"Entries with translation boxes",
"Pages using etymon with no ID",
"Pages with 1 entry",
"Pages with entries",
"Pages with etymology trees",
"Terms with Bulgarian translations",
"Terms with Czech translations",
"Terms with Finnish translations",
"Terms with German translations",
"Terms with Greek translations",
"Terms with Ido translations",
"Terms with Macedonian translations",
"Terms with Polish translations",
"Terms with Russian translations",
"Terms with Serbo-Croatian translations",
"Terms with Spanish translations",
"Terms with Swedish translations"
],
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{
"word": "postorder"
}
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"expansion": "Etymology tree\nProto-Indo-European *per-\nProto-Indo-European *preh₂-\nProto-Indo-European *-i\nProto-Indo-European *préh₂i?\nProto-Italic *prai\nProto-Italic *prai-\nLatin prae-lbor.\nMiddle English pre-\nEnglish pre-\nEnglish order\nEnglish preorder\n[Appendix:Glossary#learned_borrowing|Learned borrowing]] from\", \"terms\" : [ { \"children\" : [ { \"terms\" : [ { \"children\" : [ { \"terms\" : [ { \"id\" : \"before\", \"children\" : [ { \"terms\" : [ { \"alt\" : \"*préh₂i\", \"lang_name\" : \"Proto-Indo-European\", \"status\" : \"inline\", \"children\" : [ { \"terms\" : [ { \"children\" : [ { \"terms\" : [ { \"id\" : \"before\", \"children\" : [ ], \"status\" : \"ok\", \"lang_name\" : \"Proto-Indo-European\", \"term\" : \"*per-\", \"lang\" : \"ine-pro\" } ], \"keyword_label\" : \"From\", \"keyword\" : \"from\" } ], \"lang_name\" : \"Proto-Indo-European\", \"term\" : \"*preh₂-\", \"status\" : \"ok\", \"lang\" : \"ine-pro\" }, { \"children\" : [ ], \"lang_name\" : \"Proto-Indo-European\", \"term\" : \"*-i\", \"status\" : \"ok\", \"lang\" : \"ine-pro\" } ], \"keyword_label\" : \"From\", \"is_group\" : true, \"keyword\" : \"affix\" } ], \"lang\" : \"ine-pro\" } ], \"is_uncertain\" : true, \"keyword_label\" : \"Inherited from\", \"keyword\" : \"inherited\" } ], \"status\" : \"ok\", \"lang_name\" : \"Proto-Italic\", \"term\" : \"*prai\", \"lang\" : \"itc-pro\" } ], \"keyword_label\" : \"From\", \"keyword\" : \"from\" } ], \"lang_name\" : \"Proto-Italic\", \"term\" : \"*prai-\", \"status\" : \"ok\", \"lang\" : \"itc-pro\" } ], \"keyword_label\" : \"Inherited from\", \"keyword\" : \"inherited\" } ], \"lang_name\" : \"Latin\", \"term\" : \"prae-\", \"status\" : \"ok\", \"lang\" : \"la\" } ], \"keyword\" : \"lbor\" } ], \"lang_name\" : \"Middle English\", \"term\" : \"pre-\", \"status\" : \"inline\", \"lang\" : \"enm\" } ], \"keyword_label\" : \"Inherited from\", \"keyword\" : \"inherited\" } ], \"lang_name\" : \"English\", \"term\" : \"pre-\", \"status\" : \"ok\", \"lang\" : \"en\" }, { \"children\" : [ ], \"lang_name\" : \"English\", \"term\" : \"order\", \"status\" : \"missing\", \"lang\" : \"en\" } ], \"keyword_label\" : \"From\", \"is_group\" : true, \"keyword\" : \"affix\" } ], \"lang_name\" : \"English\", \"term\" : \"preorder\", \"status\" : \"ok\", \"lang\" : \"en\" }\" data-lang=\"en\" data-title=\"preorder\">\nFrom pre- + order.",
"name": "ety"
}
],
"etymology_text": "Etymology tree\nProto-Indo-European *per-\nProto-Indo-European *preh₂-\nProto-Indo-European *-i\nProto-Indo-European *préh₂i?\nProto-Italic *prai\nProto-Italic *prai-\nLatin prae-lbor.\nMiddle English pre-\nEnglish pre-\nEnglish order\nEnglish preorder\nFrom pre- + order.",
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}
],
"lang": "English",
"lang_code": "en",
"pos": "adj",
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{
"categories": [
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],
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"ref": "2002, Gabriel Valiente, Algorithms on Trees and Graphs, Springer, page 115:",
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"type": "quotation"
},
{
"text": "2011, Ananda Rao Akepogu, Radhika Raju Palagiri, Data Structures and Algorithms Using C++, Pearson Education India, page 9.16,\nThe preorder traversal visits a node first after which it traverses its left subtree and then traverses its right subtree."
}
],
"glosses": [
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],
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[
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],
[
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[
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[
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[
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[
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[
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[
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[
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],
"raw_tags": [
"of a traversal of a tree"
],
"tags": [
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],
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"computing-theory",
"engineering",
"mathematics",
"natural-sciences",
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}
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"tags": [
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{
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{
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"tags": [
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{
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"tags": [
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"New-Zealand"
]
}
],
"word": "preorder"
}
Download raw JSONL data for preorder meaning in All languages combined (22.8kB)
{
"called_from": "linkages/371",
"msg": "unrecognized linkage prefix: (binary relation that is reflexive and transitive): quasiorder desc=binary relation that is reflexive and transitive rest=quasiorder cls=romanization cls2=romanization e1=False e2=True",
"path": [
"preorder"
],
"section": "English",
"subsection": "noun",
"title": "preorder",
"trace": ""
}
This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2026-06-07 from the enwiktionary dump dated 2026-06-01 using wiktextract (e79dea5 and 7f4db16). The data shown on this site has been post-processed and various details (e.g., extra categories) removed, some information disambiguated, and additional data merged from other sources. See the raw data download page for the unprocessed wiktextract data.
If you use this data in academic research, please cite Tatu Ylonen: Wiktextract: Wiktionary as Machine-Readable Structured Data, Proceedings of the 13th Conference on Language Resources and Evaluation (LREC), pp. 1317-1325, Marseille, 20-25 June 2022. Linking to the relevant page(s) under https://kaikki.org would also be greatly appreciated.