See Blum integer on Wiktionary
{
"etymology_text": "Named after Manuel Blum.",
"forms": [
{
"form": "Blum integers",
"tags": [
"plural"
]
}
],
"head_templates": [
{
"args": {},
"expansion": "Blum integer (plural Blum integers)",
"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"
},
{
"kind": "topical",
"langcode": "en",
"name": "Numbers",
"orig": "en:Numbers",
"parents": [
"All topics",
"Terms by semantic function",
"Fundamental"
],
"source": "w"
}
],
"glosses": [
"A type of mathematical sequence of integers that is describing a natural number n without an imaginary part which differs from the Gaussian integer, but the integer sequence is following correctly only if n = p × q is a semiprime for which p and q are distinct prime numbers congruent to 3 mod 4."
],
"id": "en-Blum_integer-en-noun-cDqstIz2",
"links": [
[
"mathematics",
"mathematics"
],
[
"mathematical",
"mathematical#Adjective"
],
[
"sequence",
"sequence#Noun"
],
[
"integers",
"integer#Noun"
],
[
"describing",
"describe#Verb"
],
[
"natural",
"natural#English:_mathematics"
],
[
"number",
"number#English:_mathematics"
],
[
"without",
"without#Preposition"
],
[
"imaginary",
"imaginary#English:_mathematics"
],
[
"differs",
"differ#Verb"
],
[
"Gaussian integer",
"Gaussian integer#Noun"
],
[
"following",
"following#Preposition"
],
[
"correctly",
"correctly#Adverb"
],
[
"semiprime",
"semiprime#Noun"
],
[
"distinct",
"distinct#Adjective"
],
[
"prime numbers",
"prime number#Noun"
],
[
"congruent",
"congruent#English:_mathematics"
],
[
"mod",
"mod#English:_mathematics"
]
],
"raw_glosses": [
"(mathematics) A type of mathematical sequence of integers that is describing a natural number n without an imaginary part which differs from the Gaussian integer, but the integer sequence is following correctly only if n = p × q is a semiprime for which p and q are distinct prime numbers congruent to 3 mod 4."
],
"topics": [
"mathematics",
"sciences"
]
}
],
"word": "Blum integer"
}
{
"etymology_text": "Named after Manuel Blum.",
"forms": [
{
"form": "Blum integers",
"tags": [
"plural"
]
}
],
"head_templates": [
{
"args": {},
"expansion": "Blum integer (plural Blum integers)",
"name": "en-noun"
}
],
"lang": "English",
"lang_code": "en",
"pos": "noun",
"senses": [
{
"categories": [
"English countable nouns",
"English entries with incorrect language header",
"English eponyms",
"English lemmas",
"English multiword terms",
"English nouns",
"Pages with 1 entry",
"Pages with entries",
"en:Mathematics",
"en:Numbers"
],
"glosses": [
"A type of mathematical sequence of integers that is describing a natural number n without an imaginary part which differs from the Gaussian integer, but the integer sequence is following correctly only if n = p × q is a semiprime for which p and q are distinct prime numbers congruent to 3 mod 4."
],
"links": [
[
"mathematics",
"mathematics"
],
[
"mathematical",
"mathematical#Adjective"
],
[
"sequence",
"sequence#Noun"
],
[
"integers",
"integer#Noun"
],
[
"describing",
"describe#Verb"
],
[
"natural",
"natural#English:_mathematics"
],
[
"number",
"number#English:_mathematics"
],
[
"without",
"without#Preposition"
],
[
"imaginary",
"imaginary#English:_mathematics"
],
[
"differs",
"differ#Verb"
],
[
"Gaussian integer",
"Gaussian integer#Noun"
],
[
"following",
"following#Preposition"
],
[
"correctly",
"correctly#Adverb"
],
[
"semiprime",
"semiprime#Noun"
],
[
"distinct",
"distinct#Adjective"
],
[
"prime numbers",
"prime number#Noun"
],
[
"congruent",
"congruent#English:_mathematics"
],
[
"mod",
"mod#English:_mathematics"
]
],
"raw_glosses": [
"(mathematics) A type of mathematical sequence of integers that is describing a natural number n without an imaginary part which differs from the Gaussian integer, but the integer sequence is following correctly only if n = p × q is a semiprime for which p and q are distinct prime numbers congruent to 3 mod 4."
],
"topics": [
"mathematics",
"sciences"
]
}
],
"word": "Blum integer"
}
Download raw JSONL data for Blum integer meaning in All languages combined (1.9kB)
This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-12-15 from the enwiktionary dump dated 2024-12-04 using wiktextract (8a39820 and 4401a4c). 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.