See integration by parts in All languages combined, or Wiktionary
Download JSON data for integration by parts meaning in English (2.6kB)
{
"forms": [
{
"form": "integrations by parts",
"tags": [
"plural"
]
}
],
"head_templates": [
{
"args": {
"1": "~",
"2": "integrations by parts"
},
"expansion": "integration by parts (countable and uncountable, plural integrations by parts)",
"name": "en-noun"
}
],
"lang": "English",
"lang_code": "en",
"pos": "noun",
"senses": [
{
"categories": [
{
"kind": "other",
"name": "English entries with incorrect language header",
"parents": [
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"Entry maintenance"
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"source": "w"
},
{
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"name": "Russian terms with non-redundant manual transliterations",
"parents": [
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},
{
"kind": "topical",
"langcode": "en",
"name": "Mathematical analysis",
"orig": "en:Mathematical analysis",
"parents": [
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"Formal sciences",
"Sciences",
"All topics",
"Fundamental"
],
"source": "w"
}
],
"derived": [
{
"tags": [
"abbreviation"
],
"word": "IBP"
}
],
"glosses": [
"A method of integration directly related to the rule for differentiation of products; can be written as ∫udv=uv-∫vdu."
],
"id": "en-integration_by_parts-en-noun-h1mZsP0u",
"links": [
[
"mathematical analysis",
"mathematical analysis"
],
[
"method",
"method#English"
],
[
"integration",
"integration#English"
],
[
"rule",
"rule#English"
],
[
"differentiation",
"differentiation#English"
],
[
"product",
"product#English"
]
],
"raw_glosses": [
"(mathematical analysis) A method of integration directly related to the rule for differentiation of products; can be written as ∫udv=uv-∫vdu."
],
"tags": [
"countable",
"uncountable"
],
"topics": [
"mathematical-analysis",
"mathematics",
"sciences"
],
"translations": [
{
"code": "fr",
"lang": "French",
"sense": "method of integration related to the product rule of differentiation",
"tags": [
"feminine"
],
"word": "intégration par parties"
},
{
"code": "id",
"lang": "Indonesian",
"sense": "method of integration related to the product rule of differentiation",
"word": "integral parsial"
},
{
"code": "it",
"lang": "Italian",
"sense": "method of integration related to the product rule of differentiation",
"tags": [
"feminine"
],
"word": "integrazione per parti"
},
{
"code": "pl",
"lang": "Polish",
"sense": "method of integration related to the product rule of differentiation",
"tags": [
"neuter"
],
"word": "całkowanie przez części"
},
{
"code": "ru",
"lang": "Russian",
"roman": "intɛgrírovanije po častjám",
"sense": "method of integration related to the product rule of differentiation",
"tags": [
"neuter"
],
"word": "интегри́рование по частя́м"
}
],
"wikipedia": [
"integration by parts"
]
}
],
"word": "integration by parts"
}
{
"derived": [
{
"tags": [
"abbreviation"
],
"word": "IBP"
}
],
"forms": [
{
"form": "integrations by parts",
"tags": [
"plural"
]
}
],
"head_templates": [
{
"args": {
"1": "~",
"2": "integrations by parts"
},
"expansion": "integration by parts (countable and uncountable, plural integrations by parts)",
"name": "en-noun"
}
],
"lang": "English",
"lang_code": "en",
"pos": "noun",
"senses": [
{
"categories": [
"English countable nouns",
"English entries with incorrect language header",
"English lemmas",
"English multiword terms",
"English nouns",
"English uncountable nouns",
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"en:Mathematical analysis"
],
"glosses": [
"A method of integration directly related to the rule for differentiation of products; can be written as ∫udv=uv-∫vdu."
],
"links": [
[
"mathematical analysis",
"mathematical analysis"
],
[
"method",
"method#English"
],
[
"integration",
"integration#English"
],
[
"rule",
"rule#English"
],
[
"differentiation",
"differentiation#English"
],
[
"product",
"product#English"
]
],
"raw_glosses": [
"(mathematical analysis) A method of integration directly related to the rule for differentiation of products; can be written as ∫udv=uv-∫vdu."
],
"tags": [
"countable",
"uncountable"
],
"topics": [
"mathematical-analysis",
"mathematics",
"sciences"
],
"wikipedia": [
"integration by parts"
]
}
],
"translations": [
{
"code": "fr",
"lang": "French",
"sense": "method of integration related to the product rule of differentiation",
"tags": [
"feminine"
],
"word": "intégration par parties"
},
{
"code": "id",
"lang": "Indonesian",
"sense": "method of integration related to the product rule of differentiation",
"word": "integral parsial"
},
{
"code": "it",
"lang": "Italian",
"sense": "method of integration related to the product rule of differentiation",
"tags": [
"feminine"
],
"word": "integrazione per parti"
},
{
"code": "pl",
"lang": "Polish",
"sense": "method of integration related to the product rule of differentiation",
"tags": [
"neuter"
],
"word": "całkowanie przez części"
},
{
"code": "ru",
"lang": "Russian",
"roman": "intɛgrírovanije po častjám",
"sense": "method of integration related to the product rule of differentiation",
"tags": [
"neuter"
],
"word": "интегри́рование по частя́м"
}
],
"word": "integration by parts"
}
This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-05-05 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.