See Jacobian in All languages combined, or Wiktionary
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"ipa": "/jɑːˈkəʊ.bi.ən/"
},
{
"ipa": "/d͡ʒəˈkoʊ.bi.ən/"
},
{
"audio": "LL-Q1860 (eng)-Persent101-Jacobian.wav",
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"tags": [
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"translations": [
{
"code": "bg",
"lang": "Bulgarian",
"lang_code": "bg",
"roman": "na Jakobi",
"sense": "in honor of Jacobi",
"word": "на Якоби"
},
{
"code": "de",
"lang": "German",
"lang_code": "de",
"sense": "in honor of Jacobi",
"word": "Jacobi-"
},
{
"code": "es",
"lang": "Spanish",
"lang_code": "es",
"sense": "in honor of Jacobi",
"word": "jacobiano"
}
],
"wikipedia": [
"Carl Gustav Jacob Jacobi"
],
"word": "Jacobian"
}
{
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"etymology_text": "From Jacobi + -an, after Carl Gustav Jacob Jacobi, a German mathematician of the 19th century.",
"forms": [
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"tags": [
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"ref": "2016, Kyle E. Niemeyer, Nicholas J. Curtis, Chih-Jen Sung, “pyJac: analytical Jacobian generator for chemical kinetics”, in arXiv:",
"text": "As a demonstration, we first establish the correctness of the Jacobian matrices for kinetic models of hydrogen, methane, ethylene, and isopentanol oxidation, then demonstrate the performance achievable on CPUs and GPUs using pyJac via matrix evaluation timing comparisons..",
"type": "quotation"
}
],
"glosses": [
"A Jacobian matrix or its associated operator."
],
"links": [
[
"calculus",
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"(calculus) A Jacobian matrix or its associated operator."
],
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"ref": "2015, Ping Ngai Chung, Craig Costello, Benjamin Smith, “Fast, uniform, and compact scalar multiplication for elliptic curves and genus 2 Jacobians with applications to signature schemes”, in arXiv:",
"text": "In terms of per-bit security, elliptic curves and Jacobians of genus 2 curves appear to be roughly equivalent. However, when it comes to efficient and side-channel-aware implementations, we see a curious divergence.",
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],
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"The determinant of such a matrix."
],
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"(calculus) The determinant of such a matrix."
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{
"enpr": "yä-kō'-bi-un"
},
{
"ipa": "/jɑːˈkəʊ.bi.ən/"
},
{
"ipa": "/d͡ʒəˈkoʊ.bi.ən/"
},
{
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{
"code": "bg",
"lang": "Bulgarian",
"lang_code": "bg",
"roman": "matica na Jakobi",
"sense": "Jacobian matrix",
"tags": [
"feminine"
],
"word": "матица на Якоби"
},
{
"code": "bg",
"lang": "Bulgarian",
"lang_code": "bg",
"roman": "Jakobian",
"sense": "Jacobian matrix",
"tags": [
"masculine"
],
"word": "Якобиан"
},
{
"code": "de",
"lang": "German",
"lang_code": "de",
"sense": "Jacobian matrix",
"tags": [
"feminine"
],
"word": "Jacobi-Matrix"
},
{
"code": "de",
"lang": "German",
"lang_code": "de",
"sense": "Jacobian matrix",
"tags": [
"feminine"
],
"word": "Funktionalmatrix"
},
{
"code": "de",
"lang": "German",
"lang_code": "de",
"sense": "Jacobian matrix",
"tags": [
"feminine"
],
"word": "Ableitungsmatrix"
},
{
"code": "he",
"lang": "Hebrew",
"lang_code": "he",
"roman": "matrítzat ya'akóbi",
"sense": "Jacobian matrix",
"tags": [
"feminine"
],
"word": "מטריצת יעקובי"
},
{
"code": "pl",
"lang": "Polish",
"lang_code": "pl",
"sense": "Jacobian matrix",
"tags": [
"feminine"
],
"word": "macierz Jacobiego"
},
{
"code": "ru",
"lang": "Russian",
"lang_code": "ru",
"roman": "matrica Jakobi",
"sense": "Jacobian matrix",
"tags": [
"feminine"
],
"word": "матрица Якоби"
},
{
"code": "es",
"lang": "Spanish",
"lang_code": "es",
"sense": "Jacobian matrix",
"tags": [
"feminine"
],
"word": "matriz jacobiana"
},
{
"code": "bg",
"lang": "Bulgarian",
"lang_code": "bg",
"roman": "Jakobian",
"sense": "the determinant of the Jacobian matrix",
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"masculine"
],
"word": "Якобиан"
},
{
"code": "bg",
"lang": "Bulgarian",
"lang_code": "bg",
"roman": "determinanta na Jakobi",
"sense": "the determinant of the Jacobian matrix",
"tags": [
"feminine"
],
"word": "детерминанта на Якоби"
},
{
"code": "de",
"lang": "German",
"lang_code": "de",
"sense": "the determinant of the Jacobian matrix",
"tags": [
"feminine"
],
"word": "Jacobi-Determinante"
},
{
"code": "de",
"lang": "German",
"lang_code": "de",
"sense": "the determinant of the Jacobian matrix",
"tags": [
"feminine"
],
"word": "Funktionaldeterminante"
},
{
"code": "he",
"lang": "Hebrew",
"lang_code": "he",
"roman": "ya'akobián",
"sense": "the determinant of the Jacobian matrix",
"tags": [
"masculine"
],
"word": "יעקוביאן"
},
{
"code": "pl",
"lang": "Polish",
"lang_code": "pl",
"sense": "the determinant of the Jacobian matrix",
"tags": [
"masculine"
],
"word": "jakobian"
},
{
"code": "ru",
"lang": "Russian",
"lang_code": "ru",
"roman": "jakobian",
"sense": "the determinant of the Jacobian matrix",
"tags": [
"masculine"
],
"word": "якобиан"
},
{
"code": "es",
"lang": "Spanish",
"lang_code": "es",
"sense": "the determinant of the Jacobian matrix",
"tags": [
"masculine"
],
"word": "determinante jacobiano"
},
{
"code": "es",
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"lang_code": "es",
"sense": "the determinant of the Jacobian matrix",
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"masculine"
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"word": "jacobiano"
}
],
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"Carl Gustav Jacob Jacobi"
],
"word": "Jacobian"
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"expansion": "Etymology tree\nEnglish Jacob\nProto-Indo-European *-(i)yós\nProto-Italic *-ijos\nProto-Italic *-ios\nOld Latin -ios\nLatin -ius\nProto-Indo-European *-nós\nProto-Italic *-nos\nProto-Italic *-ānos\nLatin -ānus\nLatin -iānusbor.\nEnglish -ian\nEnglish Jacobian\n[Appendix:Glossary#loanword|Borrowed]] from\", \"terms\" : [ { \"children\" : [ { \"terms\" : [ { \"id\" : \"suffix forming adjectives\", \"children\" : [ { \"terms\" : [ { \"id\" : \"suffix forming adjectives\", \"children\" : [ { \"terms\" : [ { \"id\" : \"adjective suffix\", \"children\" : [ { \"terms\" : [ { \"alt\" : \"*-ijos\", \"lang_name\" : \"Proto-Italic\", \"status\" : \"inline\", \"children\" : [ { \"terms\" : [ { \"alt\" : \"*-(i)yós\", \"children\" : [ ], \"lang_name\" : \"Proto-Indo-European\", \"term\" : \"*-yós\", \"status\" : \"ok\", \"lang\" : \"ine-pro\" } ], \"keyword_label\" : \"Inherited from\", \"keyword\" : \"inherited\" } ], \"lang\" : \"itc-pro\" } ], \"keyword_label\" : \"From\", \"keyword\" : \"from\" } ], \"status\" : \"ok\", \"lang_name\" : \"Proto-Italic\", \"term\" : \"*-ios\", \"lang\" : \"itc-pro\" } ], \"keyword_label\" : \"Inherited from\", \"keyword\" : \"inherited\" } ], \"status\" : \"ok\", \"lang_name\" : \"Old Latin\", \"term\" : \"-ios\", \"lang\" : \"itc-ola\" } ], \"keyword_label\" : \"From\", \"keyword\" : \"from\" } ], \"status\" : \"ok\", \"lang_name\" : \"Latin\", \"term\" : \"-ius\", \"lang\" : \"la\" }, { \"id\" : \"-ian\", \"children\" : [ { \"terms\" : [ { \"children\" : [ { \"terms\" : [ { \"children\" : [ { \"terms\" : [ { \"children\" : [ ], \"lang_name\" : \"Proto-Indo-European\", \"term\" : \"*-nós\", \"status\" : \"ok\", \"lang\" : \"ine-pro\" } ], \"keyword_label\" : \"Inherited from\", \"keyword\" : \"inherited\" } ], \"lang_name\" : \"Proto-Italic\", \"term\" : \"*-nos\", \"status\" : \"ok\", \"lang\" : \"itc-pro\" } ], \"keyword_label\" : \"From\", \"keyword\" : \"from\" } ], \"lang_name\" : \"Proto-Italic\", \"term\" : \"*-ānos\", \"status\" : \"ok\", \"lang\" : \"itc-pro\" } ], \"keyword_label\" : \"Inherited from\", \"keyword\" : \"inherited\" } ], \"status\" : \"ok\", \"lang_name\" : \"Latin\", \"term\" : \"-ānus\", \"lang\" : \"la\" } ], \"keyword_label\" : \"From\", \"is_group\" : true, \"keyword\" : \"affix\" } ], \"lang_name\" : \"Latin\", \"term\" : \"-iānus\", \"status\" : \"ok\", \"lang\" : \"la\" } ], \"keyword\" : \"bor\" } ], \"lang_name\" : \"English\", \"term\" : \"-ian\", \"status\" : \"ok\", \"lang\" : \"en\" } ], \"keyword_label\" : \"From\", \"is_group\" : true, \"keyword\" : \"affix\" } ], \"lang_name\" : \"English\", \"term\" : \"Jacobian\", \"status\" : \"ok\", \"lang\" : \"en\" }\" data-lang=\"en\" data-title=\"Jacobian\">\nFrom Jacob + -ian.",
"name": "ety"
}
],
"etymology_text": "Etymology tree\nEnglish Jacob\nProto-Indo-European *-(i)yós\nProto-Italic *-ijos\nProto-Italic *-ios\nOld Latin -ios\nLatin -ius\nProto-Indo-European *-nós\nProto-Italic *-nos\nProto-Italic *-ānos\nLatin -ānus\nLatin -iānusbor.\nEnglish -ian\nEnglish Jacobian\nFrom Jacob + -ian.",
"forms": [
{
"form": "more Jacobian",
"tags": [
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]
},
{
"form": "most Jacobian",
"tags": [
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}
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"expansion": "Jacobian (comparative more Jacobian, superlative most Jacobian)",
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"lang_code": "en",
"pos": "adj",
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{
"glosses": [
"Of or relating to the biblical Jacob."
],
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],
[
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"Jacob"
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],
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"word": "Jacobic"
}
]
}
],
"word": "Jacobian"
}
Download raw JSONL data for Jacobian meaning in English (13.2kB)
This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2026-08-28 from the enwiktionary dump dated 2026-08-05 using wiktextract (872fc7b 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.
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.