See geometric series on Wiktionary
Download JSON data for geometric series meaning in All languages combined (3.9kB)
{
"forms": [
{
"form": "geometric series",
"tags": [
"plural"
]
}
],
"head_templates": [
{
"args": {
"1": "geometric series"
},
"expansion": "geometric series (plural geometric series)",
"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": "Japanese terms with redundant script codes",
"parents": [
"Terms with redundant script codes",
"Entry maintenance"
],
"source": "w"
},
{
"kind": "topical",
"langcode": "en",
"name": "Mathematical analysis",
"orig": "en:Mathematical analysis",
"parents": [
"Mathematics",
"Formal sciences",
"Sciences",
"All topics",
"Fundamental"
],
"source": "w"
}
],
"glosses": [
"Any infinite series whose terms are in geometric progression; any series of the form a+ar+ar²+ar³⋯=a∑ᵢ₌₀ ᪲rⁱ."
],
"id": "en-geometric_series-en-noun-KmFpyaon",
"links": [
[
"mathematical analysis",
"mathematical analysis"
],
[
"infinite series",
"infinite series"
],
[
"term",
"term"
],
[
"geometric progression",
"geometric progression"
]
],
"raw_glosses": [
"(mathematical analysis) Any infinite series whose terms are in geometric progression; any series of the form a+ar+ar²+ar³⋯=a∑ᵢ₌₀ ᪲rⁱ."
],
"related": [
{
"word": "arithmetic series"
},
{
"word": "geometric progression"
},
{
"word": "harmonic series"
}
],
"topics": [
"mathematical-analysis",
"mathematics",
"sciences"
],
"translations": [
{
"code": "cmn",
"lang": "Chinese Mandarin",
"sense": "infinite series of terms in geometric progression",
"word": "等比级数"
},
{
"code": "cmn",
"lang": "Chinese Mandarin",
"roman": "jǐhé jíshù",
"sense": "infinite series of terms in geometric progression",
"word": "几何级数"
},
{
"code": "cs",
"lang": "Czech",
"sense": "infinite series of terms in geometric progression",
"tags": [
"feminine"
],
"word": "geometrická řada"
},
{
"code": "fi",
"lang": "Finnish",
"sense": "infinite series of terms in geometric progression",
"word": "geometrinen sarja"
},
{
"code": "gl",
"lang": "Galician",
"sense": "infinite series of terms in geometric progression",
"tags": [
"feminine"
],
"word": "serie xeométrica"
},
{
"code": "hu",
"lang": "Hungarian",
"sense": "infinite series of terms in geometric progression",
"word": "mértani sor"
},
{
"code": "is",
"lang": "Icelandic",
"sense": "infinite series of terms in geometric progression",
"tags": [
"feminine"
],
"word": "jafnhlutfallaröð"
},
{
"code": "is",
"lang": "Icelandic",
"sense": "infinite series of terms in geometric progression",
"tags": [
"feminine"
],
"word": "kvótaröð"
},
{
"code": "is",
"lang": "Icelandic",
"sense": "infinite series of terms in geometric progression",
"tags": [
"feminine"
],
"word": "rúmkynja röð"
},
{
"code": "it",
"lang": "Italian",
"sense": "infinite series of terms in geometric progression",
"tags": [
"feminine"
],
"word": "serie geometrica"
},
{
"code": "ja",
"lang": "Japanese",
"roman": "tōhikyūsū",
"sense": "infinite series of terms in geometric progression",
"word": "等比級数"
},
{
"code": "nb",
"lang": "Norwegian Bokmål",
"sense": "infinite series of terms in geometric progression",
"tags": [
"masculine"
],
"word": "geometrisk følge"
},
{
"code": "nn",
"lang": "Norwegian Nynorsk",
"sense": "infinite series of terms in geometric progression",
"tags": [
"feminine"
],
"word": "geometrisk følgje"
},
{
"code": "nn",
"lang": "Norwegian Nynorsk",
"sense": "infinite series of terms in geometric progression",
"tags": [
"feminine"
],
"word": "geometrisk fylgje"
},
{
"code": "nn",
"lang": "Norwegian Nynorsk",
"sense": "infinite series of terms in geometric progression",
"tags": [
"feminine"
],
"word": "geometrisk følge"
},
{
"code": "sh",
"lang": "Serbo-Croatian",
"sense": "infinite series of terms in geometric progression",
"tags": [
"masculine"
],
"word": "geometrijski red"
}
],
"wikipedia": [
"geometric series"
]
}
],
"word": "geometric series"
}
{
"forms": [
{
"form": "geometric series",
"tags": [
"plural"
]
}
],
"head_templates": [
{
"args": {
"1": "geometric series"
},
"expansion": "geometric series (plural geometric series)",
"name": "en-noun"
}
],
"lang": "English",
"lang_code": "en",
"pos": "noun",
"related": [
{
"word": "arithmetic series"
},
{
"word": "geometric progression"
},
{
"word": "harmonic series"
}
],
"senses": [
{
"categories": [
"English countable nouns",
"English entries with incorrect language header",
"English lemmas",
"English multiword terms",
"English nouns",
"Japanese terms with redundant script codes",
"en:Mathematical analysis"
],
"glosses": [
"Any infinite series whose terms are in geometric progression; any series of the form a+ar+ar²+ar³⋯=a∑ᵢ₌₀ ᪲rⁱ."
],
"links": [
[
"mathematical analysis",
"mathematical analysis"
],
[
"infinite series",
"infinite series"
],
[
"term",
"term"
],
[
"geometric progression",
"geometric progression"
]
],
"raw_glosses": [
"(mathematical analysis) Any infinite series whose terms are in geometric progression; any series of the form a+ar+ar²+ar³⋯=a∑ᵢ₌₀ ᪲rⁱ."
],
"topics": [
"mathematical-analysis",
"mathematics",
"sciences"
],
"wikipedia": [
"geometric series"
]
}
],
"translations": [
{
"code": "cmn",
"lang": "Chinese Mandarin",
"sense": "infinite series of terms in geometric progression",
"word": "等比级数"
},
{
"code": "cmn",
"lang": "Chinese Mandarin",
"roman": "jǐhé jíshù",
"sense": "infinite series of terms in geometric progression",
"word": "几何级数"
},
{
"code": "cs",
"lang": "Czech",
"sense": "infinite series of terms in geometric progression",
"tags": [
"feminine"
],
"word": "geometrická řada"
},
{
"code": "fi",
"lang": "Finnish",
"sense": "infinite series of terms in geometric progression",
"word": "geometrinen sarja"
},
{
"code": "gl",
"lang": "Galician",
"sense": "infinite series of terms in geometric progression",
"tags": [
"feminine"
],
"word": "serie xeométrica"
},
{
"code": "hu",
"lang": "Hungarian",
"sense": "infinite series of terms in geometric progression",
"word": "mértani sor"
},
{
"code": "is",
"lang": "Icelandic",
"sense": "infinite series of terms in geometric progression",
"tags": [
"feminine"
],
"word": "jafnhlutfallaröð"
},
{
"code": "is",
"lang": "Icelandic",
"sense": "infinite series of terms in geometric progression",
"tags": [
"feminine"
],
"word": "kvótaröð"
},
{
"code": "is",
"lang": "Icelandic",
"sense": "infinite series of terms in geometric progression",
"tags": [
"feminine"
],
"word": "rúmkynja röð"
},
{
"code": "it",
"lang": "Italian",
"sense": "infinite series of terms in geometric progression",
"tags": [
"feminine"
],
"word": "serie geometrica"
},
{
"code": "ja",
"lang": "Japanese",
"roman": "tōhikyūsū",
"sense": "infinite series of terms in geometric progression",
"word": "等比級数"
},
{
"code": "nb",
"lang": "Norwegian Bokmål",
"sense": "infinite series of terms in geometric progression",
"tags": [
"masculine"
],
"word": "geometrisk følge"
},
{
"code": "nn",
"lang": "Norwegian Nynorsk",
"sense": "infinite series of terms in geometric progression",
"tags": [
"feminine"
],
"word": "geometrisk følgje"
},
{
"code": "nn",
"lang": "Norwegian Nynorsk",
"sense": "infinite series of terms in geometric progression",
"tags": [
"feminine"
],
"word": "geometrisk fylgje"
},
{
"code": "nn",
"lang": "Norwegian Nynorsk",
"sense": "infinite series of terms in geometric progression",
"tags": [
"feminine"
],
"word": "geometrisk følge"
},
{
"code": "sh",
"lang": "Serbo-Croatian",
"sense": "infinite series of terms in geometric progression",
"tags": [
"masculine"
],
"word": "geometrijski red"
}
],
"word": "geometric series"
}
This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-05-09 from the enwiktionary dump dated 2024-05-02 using wiktextract (4d5d0bb and edd475d). 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.