See homogeneous polynomial on Wiktionary
{
"forms": [
{
"form": "homogeneous polynomials",
"tags": [
"plural"
]
}
],
"head_templates": [
{
"args": {},
"expansion": "homogeneous polynomial (plural homogeneous polynomials)",
"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": "Entries with translation boxes",
"parents": [],
"source": "w"
},
{
"kind": "other",
"name": "Pages with 1 entry",
"parents": [],
"source": "w"
},
{
"kind": "other",
"name": "Pages with entries",
"parents": [],
"source": "w"
},
{
"kind": "other",
"name": "Terms with Finnish translations",
"parents": [],
"source": "w"
},
{
"kind": "other",
"name": "Terms with German translations",
"parents": [],
"source": "w"
},
{
"kind": "other",
"name": "Terms with Icelandic translations",
"parents": [],
"source": "w"
},
{
"kind": "other",
"name": "Terms with Mandarin translations",
"parents": [],
"source": "w"
},
{
"kind": "other",
"name": "Terms with Polish translations",
"parents": [],
"source": "w"
},
{
"kind": "other",
"name": "Terms with Tagalog translations",
"parents": [],
"source": "w"
},
{
"kind": "topical",
"langcode": "en",
"name": "Mathematics",
"orig": "en:Mathematics",
"parents": [
"Formal sciences",
"Sciences",
"All topics",
"Fundamental"
],
"source": "w"
},
{
"kind": "other",
"langcode": "en",
"name": "Polynomials",
"orig": "en:Polynomials",
"parents": [],
"source": "w"
}
],
"examples": [
{
"text": "x³+x²ʸ+xy²+y³"
}
],
"glosses": [
"a polynomial such that the sum of the exponents of the variables is the same for every term."
],
"hyponyms": [
{
"word": "quantic"
}
],
"id": "en-homogeneous_polynomial-en-noun-ftdkHalm",
"links": [
[
"mathematics",
"mathematics"
],
[
"polynomial",
"polynomial"
],
[
"exponent",
"exponent"
],
[
"variable",
"variable"
]
],
"raw_glosses": [
"(mathematics) a polynomial such that the sum of the exponents of the variables is the same for every term."
],
"topics": [
"mathematics",
"sciences"
],
"translations": [
{
"code": "cmn",
"lang": "Chinese Mandarin",
"roman": "qícì duōxiàngshì",
"sense": "mathematics: polynomial such that the sum of the exponents of the variables is the same for every term",
"word": "齐次多项式"
},
{
"code": "fi",
"lang": "Finnish",
"sense": "mathematics: polynomial such that the sum of the exponents of the variables is the same for every term",
"word": "homogeeninen polynomi"
},
{
"code": "de",
"lang": "German",
"sense": "mathematics: polynomial such that the sum of the exponents of the variables is the same for every term",
"tags": [
"neuter"
],
"word": "homogenes Polynom"
},
{
"code": "is",
"lang": "Icelandic",
"sense": "mathematics: polynomial such that the sum of the exponents of the variables is the same for every term",
"tags": [
"feminine"
],
"word": "einsleit margliða"
},
{
"code": "is",
"lang": "Icelandic",
"sense": "mathematics: polynomial such that the sum of the exponents of the variables is the same for every term",
"tags": [
"feminine"
],
"word": "jafnþætt margliða"
},
{
"code": "is",
"lang": "Icelandic",
"sense": "mathematics: polynomial such that the sum of the exponents of the variables is the same for every term",
"tags": [
"neuter"
],
"word": "form"
},
{
"code": "pl",
"lang": "Polish",
"sense": "mathematics: polynomial such that the sum of the exponents of the variables is the same for every term",
"tags": [
"masculine"
],
"word": "wielomian jednorodny"
},
{
"code": "tl",
"lang": "Tagalog",
"sense": "mathematics: polynomial such that the sum of the exponents of the variables is the same for every term",
"word": "tulad-uriing damikay"
}
]
}
],
"word": "homogeneous polynomial"
}
{
"forms": [
{
"form": "homogeneous polynomials",
"tags": [
"plural"
]
}
],
"head_templates": [
{
"args": {},
"expansion": "homogeneous polynomial (plural homogeneous polynomials)",
"name": "en-noun"
}
],
"hyponyms": [
{
"word": "quantic"
}
],
"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",
"Entries with translation boxes",
"Pages with 1 entry",
"Pages with entries",
"Terms with Finnish translations",
"Terms with German translations",
"Terms with Icelandic translations",
"Terms with Mandarin translations",
"Terms with Polish translations",
"Terms with Tagalog translations",
"en:Mathematics",
"en:Polynomials"
],
"examples": [
{
"text": "x³+x²ʸ+xy²+y³"
}
],
"glosses": [
"a polynomial such that the sum of the exponents of the variables is the same for every term."
],
"links": [
[
"mathematics",
"mathematics"
],
[
"polynomial",
"polynomial"
],
[
"exponent",
"exponent"
],
[
"variable",
"variable"
]
],
"raw_glosses": [
"(mathematics) a polynomial such that the sum of the exponents of the variables is the same for every term."
],
"topics": [
"mathematics",
"sciences"
]
}
],
"translations": [
{
"code": "cmn",
"lang": "Chinese Mandarin",
"roman": "qícì duōxiàngshì",
"sense": "mathematics: polynomial such that the sum of the exponents of the variables is the same for every term",
"word": "齐次多项式"
},
{
"code": "fi",
"lang": "Finnish",
"sense": "mathematics: polynomial such that the sum of the exponents of the variables is the same for every term",
"word": "homogeeninen polynomi"
},
{
"code": "de",
"lang": "German",
"sense": "mathematics: polynomial such that the sum of the exponents of the variables is the same for every term",
"tags": [
"neuter"
],
"word": "homogenes Polynom"
},
{
"code": "is",
"lang": "Icelandic",
"sense": "mathematics: polynomial such that the sum of the exponents of the variables is the same for every term",
"tags": [
"feminine"
],
"word": "einsleit margliða"
},
{
"code": "is",
"lang": "Icelandic",
"sense": "mathematics: polynomial such that the sum of the exponents of the variables is the same for every term",
"tags": [
"feminine"
],
"word": "jafnþætt margliða"
},
{
"code": "is",
"lang": "Icelandic",
"sense": "mathematics: polynomial such that the sum of the exponents of the variables is the same for every term",
"tags": [
"neuter"
],
"word": "form"
},
{
"code": "pl",
"lang": "Polish",
"sense": "mathematics: polynomial such that the sum of the exponents of the variables is the same for every term",
"tags": [
"masculine"
],
"word": "wielomian jednorodny"
},
{
"code": "tl",
"lang": "Tagalog",
"sense": "mathematics: polynomial such that the sum of the exponents of the variables is the same for every term",
"word": "tulad-uriing damikay"
}
],
"word": "homogeneous polynomial"
}
Download raw JSONL data for homogeneous polynomial meaning in All languages combined (2.8kB)
This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2025-01-25 from the enwiktionary dump dated 2025-01-20 using wiktextract (c15a5ce and 5c11237). 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.