See alternating series test on Wiktionary
{
"forms": [
{
"form": "alternating series tests",
"tags": [
"plural"
]
}
],
"head_templates": [
{
"args": {},
"expansion": "alternating series test (plural alternating series tests)",
"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": "other",
"name": "Pages with 1 entry",
"parents": [],
"source": "w"
},
{
"kind": "other",
"name": "Pages with entries",
"parents": [],
"source": "w"
},
{
"kind": "topical",
"langcode": "en",
"name": "Mathematics",
"orig": "en:Mathematics",
"parents": [
"Formal sciences",
"Sciences",
"All topics",
"Fundamental"
],
"source": "w"
}
],
"derived": [
{
"tags": [
"abbreviation"
],
"word": "AST"
}
],
"glosses": [
"A test for determining whether an alternating series converges, which uses the fact that an alternating series converges if the absolute value of its terms is decreasing and approaches zero."
],
"id": "en-alternating_series_test-en-noun-Mm2T~ZeI",
"links": [
[
"mathematics",
"mathematics"
],
[
"test",
"test#Noun"
],
[
"determining",
"determine#Verb"
],
[
"alternating series",
"alternating series#Noun"
],
[
"converges",
"converge#Verb"
],
[
"absolute value",
"absolute value#Noun"
],
[
"terms",
"term#Noun"
],
[
"decreasing",
"decreasing#Adjective"
],
[
"approaches",
"approach#Verb"
],
[
"zero",
"zero#Noun"
]
],
"raw_glosses": [
"(mathematics) A test for determining whether an alternating series converges, which uses the fact that an alternating series converges if the absolute value of its terms is decreasing and approaches zero."
],
"synonyms": [
{
"word": "Leibniz's test"
},
{
"word": "Leibniz's rule"
},
{
"word": "Leibniz criterion"
}
],
"topics": [
"mathematics",
"sciences"
],
"wikipedia": [
"alternating series test"
]
}
],
"word": "alternating series test"
}
{
"derived": [
{
"tags": [
"abbreviation"
],
"word": "AST"
}
],
"forms": [
{
"form": "alternating series tests",
"tags": [
"plural"
]
}
],
"head_templates": [
{
"args": {},
"expansion": "alternating series test (plural alternating series tests)",
"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",
"Pages with 1 entry",
"Pages with entries",
"en:Mathematics"
],
"glosses": [
"A test for determining whether an alternating series converges, which uses the fact that an alternating series converges if the absolute value of its terms is decreasing and approaches zero."
],
"links": [
[
"mathematics",
"mathematics"
],
[
"test",
"test#Noun"
],
[
"determining",
"determine#Verb"
],
[
"alternating series",
"alternating series#Noun"
],
[
"converges",
"converge#Verb"
],
[
"absolute value",
"absolute value#Noun"
],
[
"terms",
"term#Noun"
],
[
"decreasing",
"decreasing#Adjective"
],
[
"approaches",
"approach#Verb"
],
[
"zero",
"zero#Noun"
]
],
"raw_glosses": [
"(mathematics) A test for determining whether an alternating series converges, which uses the fact that an alternating series converges if the absolute value of its terms is decreasing and approaches zero."
],
"synonyms": [
{
"word": "Leibniz's test"
},
{
"word": "Leibniz's rule"
},
{
"word": "Leibniz criterion"
}
],
"topics": [
"mathematics",
"sciences"
],
"wikipedia": [
"alternating series test"
]
}
],
"word": "alternating series test"
}
Download raw JSONL data for alternating series test meaning in All languages combined (1.5kB)
This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2025-01-10 from the enwiktionary dump dated 2025-01-01 using wiktextract (df33d17 and 4ed51a5). 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.