See coinitial in All languages combined, or Wiktionary
{
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\"status\" : \"inline\", \"children\" : [ { \"terms\" : [ { \"id\" : \"grow\", \"children\" : [ ], \"status\" : \"ok\", \"lang_name\" : \"Proto-Indo-European\", \"term\" : \"*h₂el-\", \"lang\" : \"ine-pro\" }, { \"children\" : [ ], \"lang_name\" : \"Proto-Indo-European\", \"term\" : \"*-is\", \"status\" : \"ok\", \"lang\" : \"ine-pro\" } ], \"keyword_label\" : \"From\", \"is_group\" : true, \"keyword\" : \"affix\" } ], \"lang\" : \"ine-pro\" } ], \"keyword\" : \"derived\" } ], \"lang_name\" : \"Proto-Italic\", \"term\" : \"*-ālis\", \"status\" : \"ok\", \"lang\" : \"itc-pro\" } ], \"keyword_label\" : \"Inherited from\", \"keyword\" : \"inherited\" } ], \"status\" : \"ok\", \"lang_name\" : \"Latin\", \"term\" : \"-ālis\", \"lang\" : \"la\" } ], \"keyword_label\" : \"From\", \"is_group\" : true, \"keyword\" : \"affix\" } ], \"lang_name\" : \"Latin\", \"term\" : \"initiālis\", \"status\" : \"ok\", \"lang\" : \"la\" } ], \"keyword\" : \"lbor\" } ], \"lang_name\" : \"Middle French\", 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"name": "ety"
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"etymology_text": "Etymology tree\nProto-Indo-European *ḱe?\nProto-Indo-European *ḱóm\nProto-Italic *kom\nProto-Italic *kom-\nLatin con-\nLatin co-lbor.\nEnglish co-\nProto-Indo-European *h₁én\nProto-Italic *en\nProto-Italic *en-\nProto-Indo-European *h₁ey-\nProto-Indo-European *h₁éyti\nProto-Italic *ejō\nProto-Italic *eō\nProto-Italic *eneō\nLatin ineō\nProto-Indo-European *-(i)yós\nProto-Italic *-ijos\nProto-Italic *-ios\nOld Latin -ios\nLatin -iusnom.\nLatin -ium\nLatin initium\nProto-Indo-European *h₂el-\nProto-Indo-European *-is\nProto-Indo-European *h₂élisder.?\nProto-Italic *-ālis\nLatin -ālis\nLatin initiālislbor.\nMiddle French initialbor.\n▲\nLatin initiālislbor.\nEnglish initial\nEnglish coinitial\nFrom co- + initial.",
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"ref": "2024 November 12, Steffen Lempp, Alberto Marcone, Manlio Valenti, “Chains and antichains in the Weihrauch lattice”, in arXiv, page 1, archived from the original on 23 Jun 2026:",
"text": "The dual notion of cofinality is coinitiality: a set S#92;subseteqP is called coinitial if for every p#92;inP there is q#92;inS such that q#92;lep. Equivalently, a coinitial set in P is a cofinal set in P#92;ast#58;#61;(P,#92;ge). […] Both cofinality and coinitiality need not be well-defined for an arbitrary partial order (e.g. if the partial order is only made of two incomparable elements).",
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[
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[
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"expansion": "Etymology tree\nProto-Indo-European *ḱe?\nProto-Indo-European *ḱóm\nProto-Italic *kom\nProto-Italic *kom-\nLatin con-\nLatin co-lbor.\nEnglish co-\nProto-Indo-European *h₁én\nProto-Italic *en\nProto-Italic *en-\nProto-Indo-European *h₁ey-\nProto-Indo-European *h₁éyti\nProto-Italic *ejō\nProto-Italic *eō\nProto-Italic *eneō\nLatin ineō\nProto-Indo-European *-(i)yós\nProto-Italic *-ijos\nProto-Italic *-ios\nOld Latin -ios\nLatin -iusnom.\nLatin -ium\nLatin initium\nProto-Indo-European *h₂el-\nProto-Indo-European *-is\nProto-Indo-European *h₂élisder.?\nProto-Italic *-ālis\nLatin -ālis\nLatin initiālislbor.\nMiddle French initialbor.\n▲\nLatin initiālislbor.\nEnglish initial\nEnglish coinitial\n[Appendix:Glossary#learned_borrowing|Learned borrowing]] from\", \"terms\" : [ { \"children\" : [ { \"terms\" : [ { \"id\" : \"bringing together\", \"children\" : [ { \"terms\" : [ { \"id\" : \"with\", \"children\" : [ { \"terms\" : [ { \"id\" : \"with\", \"children\" : [ { \"terms\" : [ { \"id\" : \"beside\", \"children\" : [ { \"terms\" : [ { \"is_uncertain\" : true, \"id\" : \"here\", \"children\" : [ ], \"status\" : \"ok\", \"lang_name\" : \"Proto-Indo-European\", \"term\" : \"*ḱe\", \"lang\" : \"ine-pro\" } ], \"keyword_label\" : \"From\", \"keyword\" : \"from\" } ], \"status\" : \"ok\", \"lang_name\" : \"Proto-Indo-European\", \"term\" : \"*ḱóm\", \"lang\" : \"ine-pro\" } ], \"keyword_label\" : \"Inherited from\", \"keyword\" : \"inherited\" } ], \"status\" : \"ok\", \"lang_name\" : \"Proto-Italic\", \"term\" : \"*kom\", \"lang\" : \"itc-pro\" } ], \"keyword_label\" : \"From\", \"keyword\" : \"from\" } ], \"status\" : \"ok\", \"lang_name\" : \"Proto-Italic\", \"term\" : \"*kom-\", \"lang\" : \"itc-pro\" } ], \"keyword_label\" : \"Inherited from\", \"keyword\" : \"inherited\" } ], \"status\" : \"ok\", \"lang_name\" : \"Latin\", \"term\" : \"con-\", \"lang\" : \"la\" } ], \"keyword_label\" : \"From\", \"keyword\" : \"from\" } ], \"lang_name\" : \"Latin\", \"term\" : \"co-\", \"status\" : \"ok\", \"lang\" : \"la\" } ], \"keyword\" : \"lbor\" } ], \"lang_name\" : \"English\", \"term\" : \"co-\", \"status\" : \"ok\", \"lang\" : \"en\" }, { \"children\" : [ { \"keyword_abbrev\" : \"bor.\", \"keyword_label\" : \"Borrowed from\", \"terms\" : [ { \"children\" : [ { \"keyword_abbrev\" : \"lbor.\", \"keyword_label\" : \"Learned borrowing from\", \"terms\" : [ { \"children\" : [ { \"terms\" : [ { \"children\" : [ { \"terms\" : [ { \"children\" : [ { \"terms\" : [ { \"children\" : [ { \"terms\" : [ { \"children\" : [ { \"terms\" : [ { \"id\" : \"in\", \"children\" : [ { \"terms\" : [ { \"id\" : \"in\", \"children\" : [ ], \"status\" : \"ok\", \"lang_name\" : \"Proto-Indo-European\", \"term\" : \"*h₁én\", \"lang\" : \"ine-pro\" } ], \"keyword_label\" : \"Inherited from\", \"keyword\" : \"inherited\" } ], \"status\" : \"ok\", \"lang_name\" : \"Proto-Italic\", \"term\" : \"*en\", \"lang\" : \"itc-pro\" } ], \"keyword_label\" : \"From\", \"keyword\" : 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\"status\" : \"inline\", \"children\" : [ { \"terms\" : [ { \"id\" : \"grow\", \"children\" : [ ], \"status\" : \"ok\", \"lang_name\" : \"Proto-Indo-European\", \"term\" : \"*h₂el-\", \"lang\" : \"ine-pro\" }, { \"children\" : [ ], \"lang_name\" : \"Proto-Indo-European\", \"term\" : \"*-is\", \"status\" : \"ok\", \"lang\" : \"ine-pro\" } ], \"keyword_label\" : \"From\", \"is_group\" : true, \"keyword\" : \"affix\" } ], \"lang\" : \"ine-pro\" } ], \"keyword\" : \"derived\" } ], \"lang_name\" : \"Proto-Italic\", \"term\" : \"*-ālis\", \"status\" : \"ok\", \"lang\" : \"itc-pro\" } ], \"keyword_label\" : \"Inherited from\", \"keyword\" : \"inherited\" } ], \"status\" : \"ok\", \"lang_name\" : \"Latin\", \"term\" : \"-ālis\", \"lang\" : \"la\" } ], \"keyword_label\" : \"From\", \"is_group\" : true, \"keyword\" : \"affix\" } ], \"lang_name\" : \"Latin\", \"term\" : \"initiālis\", \"status\" : \"ok\", \"lang\" : \"la\" } ], \"keyword\" : \"lbor\" } ], \"lang_name\" : \"Middle French\", \"term\" : \"initial\", \"status\" : \"inline\", \"lang\" : \"frm\" } ], \"keyword\" : \"bor\" }, { \"keyword_abbrev\" : \"lbor.\", \"keyword_label\" : \"Learned borrowing from\", \"terms\" : [ { \"is_duplicate\" : true, \"children\" : [ ], \"status\" : { \"1\" : \"la\", \"2\" : \":af\", \"3\" : \"initium\", \"4\" : \"-ālis<id:adjectivizing suffix>\", \"title\" : \"initiālis\", \"tree\" : \"1\" }, \"lang_name\" : \"Latin\", \"term\" : \"initiālis\", \"lang\" : \"la\" } ], \"keyword\" : \"lbor\" } ], \"lang_name\" : \"English\", \"term\" : \"initial\", \"status\" : \"ok\", \"lang\" : \"en\" } ], \"keyword_label\" : \"From\", \"is_group\" : true, \"keyword\" : \"affix\" } ], \"lang_name\" : \"English\", \"term\" : \"coinitial\", \"status\" : \"ok\", \"lang\" : \"en\" }\" data-lang=\"en\" data-title=\"coinitial\">\nFrom co- + initial.",
"name": "ety"
}
],
"etymology_text": "Etymology tree\nProto-Indo-European *ḱe?\nProto-Indo-European *ḱóm\nProto-Italic *kom\nProto-Italic *kom-\nLatin con-\nLatin co-lbor.\nEnglish co-\nProto-Indo-European *h₁én\nProto-Italic *en\nProto-Italic *en-\nProto-Indo-European *h₁ey-\nProto-Indo-European *h₁éyti\nProto-Italic *ejō\nProto-Italic *eō\nProto-Italic *eneō\nLatin ineō\nProto-Indo-European *-(i)yós\nProto-Italic *-ijos\nProto-Italic *-ios\nOld Latin -ios\nLatin -iusnom.\nLatin -ium\nLatin initium\nProto-Indo-European *h₂el-\nProto-Indo-European *-is\nProto-Indo-European *h₂élisder.?\nProto-Italic *-ālis\nLatin -ālis\nLatin initiālislbor.\nMiddle French initialbor.\n▲\nLatin initiālislbor.\nEnglish initial\nEnglish coinitial\nFrom co- + initial.",
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{
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42
],
[
78,
87
],
[
164,
173
],
[
255,
264
]
],
"ref": "2024 November 12, Steffen Lempp, Alberto Marcone, Manlio Valenti, “Chains and antichains in the Weihrauch lattice”, in arXiv, page 1, archived from the original on 23 Jun 2026:",
"text": "The dual notion of cofinality is coinitiality: a set S#92;subseteqP is called coinitial if for every p#92;inP there is q#92;inS such that q#92;lep. Equivalently, a coinitial set in P is a cofinal set in P#92;ast#58;#61;(P,#92;ge). […] Both cofinality and coinitiality need not be well-defined for an arbitrary partial order (e.g. if the partial order is only made of two incomparable elements).",
"type": "quotation"
}
],
"glosses": [
"Having an element b for each element a in the superset such that b is less than or equal to a."
],
"links": [
[
"mathematics",
"mathematics"
],
[
"subset",
"subset"
],
[
"element",
"element"
],
[
"superset",
"superset"
]
],
"raw_glosses": [
"(mathematics, of a subset) Having an element b for each element a in the superset such that b is less than or equal to a."
],
"raw_tags": [
"of a subset"
],
"tags": [
"not-comparable"
],
"topics": [
"mathematics",
"sciences"
]
}
],
"word": "coinitial"
}
Download raw JSONL data for coinitial meaning in English (10.9kB)
This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2026-09-06 from the enwiktionary dump dated 2026-09-02 using wiktextract (ccec6f1 and 4deed51). 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.
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