See quadrature on Wiktionary
Download JSON data for quadrature meaning in All languages combined (15.5kB)
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"word": "square the circle"
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"text": "1976, D. T. Whiteside (editor), The Mathematical Papers of Isaac Newton, Volume 7: 1691-1695, Cambridge University Press, page 3,\nCraige was then on the point of publishing a short tract wherein he expounded a systematic (if far from general) 'Method of determining the quadrature of figures comprehended by straight lines and curves', there gathering a variety of techniques of rational algebraic quadrature and arc-rectification […] ."
}
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"word": "კვადრატურა"
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"word": "квадрату́ра"
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"text": "1992, Bernard Bielecki, SINC Quadratures for Cauchy Principal Value Integrals, T.O. Espelid, Alan Genz, Springer, Numerical Integration: Recent Developments, Software and Applications, page 81,\nThree types of SINC quadratures are surveyed for the evaluation of Cauchy principal value integrals ∫_ΓF(t)dt/(t-x), x∈Γ, where Γ is an arc in the complex plane. Under suitable assumptions on F, the quadrature errors are of order O(e), where N is the number of quadrature nodes and c is a constant independent of N."
},
{
"ref": "2011, Narayan Kovvali, Theory and Applications of Gaussian Quadrature Methods, Morgan & Claypool, page 37",
"text": "In this chapter, we present some example applications of the Gaussian quadrature methods discussed in the previous chapters.[…]Figure 4.1 shows the accuracy of the polynomial Gaussian quadratures used to evaluate the first two integrals as a function of N.",
"type": "quotation"
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{
"ref": "2015, Bernard Shizgal, Spectral Methods in Chemistry and Physics, Springer, page 71",
"text": "The integral is thus given by a variant of the Fejér quadrature with two points at the interval boundaries, namely x₁ = −1 and x_N = 1 analogous to the Lobatto quadratures of the next section.",
"type": "quotation"
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"The calculation of a definite integral by numerical means."
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"glosses": [
"The act or process of solving an indefinite integral by symbolic means."
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"text": "When the Moon is in quadrature, it appears in the sky as a half-moon.",
"type": "example"
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"word": "矩"
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"word": "西矩"
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"ref": "2008, Luis B. Oliveira, Jorge R. Fernandes, Igor M. Filanovsky, Chris J. M. Verhoeven, Manuel M. Silva, Analysis and Design of Quadrature Oscillators, Springer, page 33",
"text": "If ν_(IN) has 50% duty-cycle, then the outputs are in quadrature.",
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"ref": "2011, M. V. Deshpande, Electrical Machines, PHI Learning, page 315",
"text": "The total mmf in a synchronous machine may be split up into two components—one along the pole axis or direct axis and the other at right angles to this or the quadrature axis.[…]In the case of salient pole construction, however, the reluctances of the magnetic circuits on which the mmfs act are different along the direct axis and the quadrature axis.",
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"ref": "2015, Mohammad Elbadry, Ramesh Harjani, Quadrature Frequency Generation for Wideband Wireless Applications, Springer, page 7",
"text": "Quadrature LO generation is critical to the operation of direct-downconversion receivers [7]. Two common techniques for quadrature generation are divide-by-two frequency dividers, and polyphase filters.",
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{
"word": "quadrate"
},
{
"word": "quadratural"
},
{
"word": "quadraturist"
},
{
"word": "cubature"
},
{
"word": "square the circle"
}
],
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{
"glosses": [
"The process of making something square; squaring."
],
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"square",
"square"
],
[
"squaring",
"squaring"
]
],
"tags": [
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},
{
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],
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{
"text": "1976, D. T. Whiteside (editor), The Mathematical Papers of Isaac Newton, Volume 7: 1691-1695, Cambridge University Press, page 3,\nCraige was then on the point of publishing a short tract wherein he expounded a systematic (if far from general) 'Method of determining the quadrature of figures comprehended by straight lines and curves', there gathering a variety of techniques of rational algebraic quadrature and arc-rectification […] ."
}
],
"glosses": [
"The act or process of constructing a square that has the same area as a given plane figure, or of computing that area."
],
"links": [
[
"mathematics",
"mathematics"
],
[
"constructing",
"constructing"
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[
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"square"
],
[
"area",
"area"
],
[
"plane",
"plane"
],
[
"figure",
"figure"
]
],
"raw_glosses": [
"(mathematics) The act or process of constructing a square that has the same area as a given plane figure, or of computing that area."
],
"tags": [
"countable",
"uncountable"
],
"topics": [
"mathematics",
"sciences"
]
},
{
"categories": [
"English terms with quotations",
"en:Mathematics"
],
"examples": [
{
"text": "1992, Bernard Bielecki, SINC Quadratures for Cauchy Principal Value Integrals, T.O. Espelid, Alan Genz, Springer, Numerical Integration: Recent Developments, Software and Applications, page 81,\nThree types of SINC quadratures are surveyed for the evaluation of Cauchy principal value integrals ∫_ΓF(t)dt/(t-x), x∈Γ, where Γ is an arc in the complex plane. Under suitable assumptions on F, the quadrature errors are of order O(e), where N is the number of quadrature nodes and c is a constant independent of N."
},
{
"ref": "2011, Narayan Kovvali, Theory and Applications of Gaussian Quadrature Methods, Morgan & Claypool, page 37",
"text": "In this chapter, we present some example applications of the Gaussian quadrature methods discussed in the previous chapters.[…]Figure 4.1 shows the accuracy of the polynomial Gaussian quadratures used to evaluate the first two integrals as a function of N.",
"type": "quotation"
},
{
"ref": "2015, Bernard Shizgal, Spectral Methods in Chemistry and Physics, Springer, page 71",
"text": "The integral is thus given by a variant of the Fejér quadrature with two points at the interval boundaries, namely x₁ = −1 and x_N = 1 analogous to the Lobatto quadratures of the next section.",
"type": "quotation"
}
],
"glosses": [
"The calculation of a definite integral by numerical means."
],
"links": [
[
"mathematics",
"mathematics"
],
[
"definite integral",
"definite integral"
]
],
"qualifier": "numerical analysis",
"raw_glosses": [
"(mathematics, numerical analysis) The calculation of a definite integral by numerical means."
],
"tags": [
"countable",
"uncountable"
],
"topics": [
"mathematics",
"sciences"
]
},
{
"categories": [
"en:Mathematical analysis",
"en:Mathematics"
],
"glosses": [
"The act or process of solving an indefinite integral by symbolic means."
],
"links": [
[
"mathematics",
"mathematics"
],
[
"mathematical analysis",
"mathematical analysis"
],
[
"indefinite integral",
"indefinite integral"
]
],
"raw_glosses": [
"(mathematics, mathematical analysis) The act or process of solving an indefinite integral by symbolic means."
],
"tags": [
"countable",
"uncountable"
],
"topics": [
"mathematical-analysis",
"mathematics",
"sciences"
]
},
{
"categories": [
"English terms with usage examples",
"en:Astronomy"
],
"examples": [
{
"text": "When the Moon is in quadrature, it appears in the sky as a half-moon.",
"type": "example"
}
],
"glosses": [
"A situation in which the directions of two celestial bodies (or a celestial body and the Sun) form a right angle from the perspective of the observer."
],
"links": [
[
"astronomy",
"astronomy"
],
[
"celestial bodies",
"celestial bodies"
],
[
"Sun",
"Sun"
],
[
"right angle",
"right angle"
]
],
"raw_glosses": [
"(astronomy) A situation in which the directions of two celestial bodies (or a celestial body and the Sun) form a right angle from the perspective of the observer."
],
"tags": [
"countable",
"uncountable"
],
"topics": [
"astronomy",
"natural-sciences"
]
},
{
"categories": [
"English terms with quotations",
"en:Physics"
],
"examples": [
{
"ref": "2008, Luis B. Oliveira, Jorge R. Fernandes, Igor M. Filanovsky, Chris J. M. Verhoeven, Manuel M. Silva, Analysis and Design of Quadrature Oscillators, Springer, page 33",
"text": "If ν_(IN) has 50% duty-cycle, then the outputs are in quadrature.",
"type": "quotation"
},
{
"ref": "2011, M. V. Deshpande, Electrical Machines, PHI Learning, page 315",
"text": "The total mmf in a synchronous machine may be split up into two components—one along the pole axis or direct axis and the other at right angles to this or the quadrature axis.[…]In the case of salient pole construction, however, the reluctances of the magnetic circuits on which the mmfs act are different along the direct axis and the quadrature axis.",
"type": "quotation"
},
{
"ref": "2015, Mohammad Elbadry, Ramesh Harjani, Quadrature Frequency Generation for Wideband Wireless Applications, Springer, page 7",
"text": "Quadrature LO generation is critical to the operation of direct-downconversion receivers [7]. Two common techniques for quadrature generation are divide-by-two frequency dividers, and polyphase filters.",
"type": "quotation"
}
],
"glosses": [
"The condition in which the phase angle between two alternating quantities is 90°."
],
"links": [
[
"physics",
"physics"
],
[
"phase angle",
"phase angle"
],
[
"alternating",
"alternate"
],
[
"quantities",
"quantity"
]
],
"raw_glosses": [
"(physics) The condition in which the phase angle between two alternating quantities is 90°."
],
"tags": [
"countable",
"uncountable"
],
"topics": [
"natural-sciences",
"physical-sciences",
"physics"
]
},
{
"categories": [
"en:Art"
],
"glosses": [
"A painting painted on a wooden panel."
],
"links": [
[
"art",
"art#Noun"
],
[
"painting",
"painting"
],
[
"panel",
"panel"
]
],
"raw_glosses": [
"(art) A painting painted on a wooden panel."
],
"tags": [
"countable",
"uncountable"
],
"topics": [
"art",
"arts"
]
}
],
"sounds": [
{
"ipa": "/ˈkwɒd.ɹəˌtjʊə(ɹ)/",
"tags": [
"UK"
]
},
{
"ipa": "/ˈkwɒd.ɹə.t͡ʃə(ɹ)/",
"tags": [
"UK"
]
},
{
"ipa": "/ˈkwɑd.ɹəˌt͡ʃʊɚ/",
"tags": [
"US"
]
},
{
"ipa": "/ˈkwɑd.ɹə.t͡ʃɚ/",
"tags": [
"US"
]
}
],
"translations": [
{
"code": "da",
"lang": "Danish",
"sense": "squaring",
"tags": [
"common-gender"
],
"word": "kvadrering"
},
{
"code": "ka",
"lang": "Georgian",
"roman": "ḳvadraṭura",
"sense": "squaring",
"word": "კვადრატურა"
},
{
"code": "de",
"lang": "German",
"sense": "squaring",
"tags": [
"neuter"
],
"word": "Quadrieren"
},
{
"code": "el",
"lang": "Greek",
"roman": "tetragonismós",
"sense": "squaring",
"tags": [
"masculine"
],
"word": "τετραγωνισμός"
},
{
"code": "es",
"lang": "Spanish",
"sense": "squaring",
"tags": [
"feminine"
],
"word": "cuadratura"
},
{
"code": "da",
"lang": "Danish",
"sense": "mathematics",
"tags": [
"common-gender"
],
"word": "kvadratur"
},
{
"code": "fr",
"lang": "French",
"sense": "mathematics",
"tags": [
"feminine"
],
"word": "quadrature"
},
{
"code": "ka",
"lang": "Georgian",
"roman": "ḳvadraṭura",
"sense": "mathematics",
"word": "კვადრატურა"
},
{
"code": "de",
"lang": "German",
"sense": "mathematics",
"tags": [
"feminine"
],
"word": "Quadratur"
},
{
"code": "el",
"lang": "Greek",
"roman": "tetragonismós",
"sense": "mathematics",
"tags": [
"masculine"
],
"word": "τετραγωνισμός"
},
{
"code": "ro",
"lang": "Romanian",
"sense": "mathematics",
"tags": [
"feminine"
],
"word": "cvadratură"
},
{
"code": "ru",
"lang": "Russian",
"roman": "kvadratúra",
"sense": "mathematics",
"tags": [
"feminine"
],
"word": "квадрату́ра"
},
{
"code": "es",
"lang": "Spanish",
"sense": "mathematics",
"tags": [
"feminine"
],
"word": "cuadratura"
},
{
"code": "da",
"lang": "Danish",
"sense": "astronomy",
"tags": [
"common-gender"
],
"word": "kvadratur"
},
{
"code": "fr",
"lang": "French",
"sense": "astronomy",
"tags": [
"feminine"
],
"word": "quadrature"
},
{
"code": "ka",
"lang": "Georgian",
"roman": "ḳvadraṭura",
"sense": "astronomy",
"word": "კვადრატურა"
},
{
"code": "de",
"lang": "German",
"sense": "astronomy",
"tags": [
"feminine"
],
"word": "Quadratur"
},
{
"alt": "く",
"code": "ja",
"lang": "Japanese",
"roman": "ku",
"sense": "astronomy",
"word": "矩"
},
{
"alt": "せいく",
"code": "ja",
"lang": "Japanese",
"roman": "seiku",
"sense": "astronomy",
"word": "西矩"
},
{
"alt": "せいほうく",
"code": "ja",
"lang": "Japanese",
"roman": "seihōku",
"sense": "astronomy",
"word": "西方矩"
},
{
"alt": "かく",
"code": "ja",
"lang": "Japanese",
"roman": "kaku",
"sense": "astronomy",
"word": "下矩"
},
{
"code": "ro",
"lang": "Romanian",
"sense": "astronomy",
"tags": [
"feminine"
],
"word": "cvadratură"
},
{
"code": "sa",
"lang": "Sanskrit",
"roman": "taravī",
"sense": "astronomy",
"word": "तरवी"
},
{
"code": "es",
"lang": "Spanish",
"sense": "astronomy",
"tags": [
"feminine"
],
"word": "cuadratura"
},
{
"code": "ko",
"lang": "Korean",
"roman": "jikgyo",
"sense": "physics: condition in which the phase angle is 90 degrees",
"word": "직교"
}
],
"word": "quadrature"
}
{
"etymology_templates": [
{
"args": {
"1": "loanword",
"2": "Borrowed"
},
"expansion": "Borrowed",
"name": "glossary"
},
{
"args": {
"1": "fr",
"2": "la",
"3": "quadrātūra",
"4": "",
"5": "",
"g": "",
"g2": "",
"g3": "",
"id": "",
"lit": "",
"nocat": "",
"pos": "",
"sc": "",
"sort": "",
"tr": "",
"ts": ""
},
"expansion": "Latin quadrātūra",
"name": "bor"
},
{
"args": {
"1": "fr",
"2": "la",
"3": "quadrātūra"
},
"expansion": "Borrowed from Latin quadrātūra",
"name": "bor+"
},
{
"args": {
"1": "fr",
"2": "carrure"
},
"expansion": "carrure",
"name": "m"
}
],
"etymology_text": "Borrowed from Latin quadrātūra. Doublet of carrure.",
"forms": [
{
"form": "quadratures",
"tags": [
"plural"
]
}
],
"head_templates": [
{
"args": {
"1": "f"
},
"expansion": "quadrature f (plural quadratures)",
"name": "fr-noun"
}
],
"lang": "French",
"lang_code": "fr",
"pos": "noun",
"senses": [
{
"categories": [
"French 3-syllable words",
"French countable nouns",
"French entries with incorrect language header",
"French feminine nouns",
"French lemmas",
"French nouns",
"French terms borrowed from Latin",
"French terms derived from Latin",
"French terms with IPA pronunciation",
"French terms with audio links",
"French terms with usage examples"
],
"examples": [
{
"english": "quadrature of the circle",
"text": "quadrature du cercle",
"type": "example"
}
],
"glosses": [
"quadrature"
],
"links": [
[
"quadrature",
"quadrature#English"
]
],
"tags": [
"feminine"
]
}
],
"sounds": [
{
"ipa": "/kwa.dʁa.tyʁ/"
},
{
"ipa": "/ka.dʁa.tyʁ/"
},
{
"audio": "LL-Q150 (fra)-LoquaxFR-quadrature.wav",
"mp3_url": "https://upload.wikimedia.org/wikipedia/commons/transcoded/f/f3/LL-Q150_%28fra%29-LoquaxFR-quadrature.wav/LL-Q150_%28fra%29-LoquaxFR-quadrature.wav.mp3",
"ogg_url": "https://upload.wikimedia.org/wikipedia/commons/transcoded/f/f3/LL-Q150_%28fra%29-LoquaxFR-quadrature.wav/LL-Q150_%28fra%29-LoquaxFR-quadrature.wav.ogg",
"text": "Audio"
}
],
"word": "quadrature"
}
{
"head_templates": [
{
"args": {
"1": "it",
"2": "noun form",
"g": "f"
},
"expansion": "quadrature f",
"name": "head"
}
],
"lang": "Italian",
"lang_code": "it",
"pos": "noun",
"senses": [
{
"categories": [
"Italian entries with incorrect language header",
"Italian non-lemma forms",
"Italian noun forms"
],
"form_of": [
{
"word": "quadratura"
}
],
"glosses": [
"plural of quadratura"
],
"links": [
[
"quadratura",
"quadratura#Italian"
]
],
"tags": [
"feminine",
"form-of",
"plural"
]
}
],
"word": "quadrature"
}
{
"forms": [
{
"form": "quadrātūre",
"tags": [
"canonical"
]
}
],
"head_templates": [
{
"args": {
"1": "la",
"2": "participle form",
"head": "quadrātūre"
},
"expansion": "quadrātūre",
"name": "head"
}
],
"lang": "Latin",
"lang_code": "la",
"pos": "verb",
"senses": [
{
"categories": [
"Latin entries with incorrect language header",
"Latin non-lemma forms",
"Latin participle forms"
],
"form_of": [
{
"word": "quadrātūrus"
}
],
"glosses": [
"vocative masculine singular of quadrātūrus"
],
"links": [
[
"quadrātūrus",
"quadraturus#Latin"
]
],
"tags": [
"form-of",
"masculine",
"participle",
"singular",
"vocative"
]
}
],
"word": "quadrature"
}
This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-05-03 from the enwiktionary dump dated 2024-05-02 using wiktextract (f4fd8c9 and c9440ce). 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.