See trapezoidal rule in All languages combined, or Wiktionary
Download JSON data for trapezoidal rule meaning in English (1.6kB)
{
"forms": [
{
"form": "trapezoidal rules",
"tags": [
"plural"
]
}
],
"head_templates": [
{
"args": {},
"expansion": "trapezoidal rule (plural trapezoidal rules)",
"name": "en-noun"
}
],
"lang": "English",
"lang_code": "en",
"pos": "noun",
"senses": [
{
"categories": [
{
"kind": "other",
"name": "English entries with incorrect language header",
"parents": [
"Entries with incorrect language header",
"Entry maintenance"
],
"source": "w"
},
{
"kind": "topical",
"langcode": "en",
"name": "Mathematics",
"orig": "en:Mathematics",
"parents": [
"Formal sciences",
"Sciences",
"All topics",
"Fundamental"
],
"source": "w"
}
],
"glosses": [
"A method of finding an approximate value for a definite integral, based on dividing the area under the graph of the function into a series of strips, each of which is approximately a trapezoid, and summing the area of all the trapezoids to approximate the area."
],
"id": "en-trapezoidal_rule-en-noun-JJ4pwhmh",
"links": [
[
"mathematics",
"mathematics"
],
[
"approximate",
"approximate"
],
[
"definite integral",
"definite integral"
],
[
"graph",
"graph"
],
[
"function",
"function"
],
[
"trapezoid",
"trapezoid"
],
[
"sum",
"sum"
],
[
"area",
"area"
]
],
"raw_glosses": [
"(mathematics) A method of finding an approximate value for a definite integral, based on dividing the area under the graph of the function into a series of strips, each of which is approximately a trapezoid, and summing the area of all the trapezoids to approximate the area."
],
"synonyms": [
{
"word": "trapezoid rule"
},
{
"word": "trapezium rule"
}
],
"topics": [
"mathematics",
"sciences"
],
"wikipedia": [
"trapezoidal rule"
]
}
],
"word": "trapezoidal rule"
}
{
"forms": [
{
"form": "trapezoidal rules",
"tags": [
"plural"
]
}
],
"head_templates": [
{
"args": {},
"expansion": "trapezoidal rule (plural trapezoidal rules)",
"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",
"en:Mathematics"
],
"glosses": [
"A method of finding an approximate value for a definite integral, based on dividing the area under the graph of the function into a series of strips, each of which is approximately a trapezoid, and summing the area of all the trapezoids to approximate the area."
],
"links": [
[
"mathematics",
"mathematics"
],
[
"approximate",
"approximate"
],
[
"definite integral",
"definite integral"
],
[
"graph",
"graph"
],
[
"function",
"function"
],
[
"trapezoid",
"trapezoid"
],
[
"sum",
"sum"
],
[
"area",
"area"
]
],
"raw_glosses": [
"(mathematics) A method of finding an approximate value for a definite integral, based on dividing the area under the graph of the function into a series of strips, each of which is approximately a trapezoid, and summing the area of all the trapezoids to approximate the area."
],
"topics": [
"mathematics",
"sciences"
],
"wikipedia": [
"trapezoidal rule"
]
}
],
"synonyms": [
{
"word": "trapezoid rule"
},
{
"word": "trapezium rule"
}
],
"word": "trapezoidal rule"
}
This page is a part of the kaikki.org machine-readable English 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.