See Hamilton-Jacobi-Bellman equation on Wiktionary
{
"etymology_text": "Named after William Rowan Hamilton, Carl Gustav Jacob Jacobi, and Richard E. Bellman.",
"forms": [
{
"form": "Hamilton-Jacobi-Bellman equations",
"tags": [
"plural"
]
}
],
"head_templates": [
{
"args": {},
"expansion": "Hamilton-Jacobi-Bellman equation (plural Hamilton-Jacobi-Bellman equations)",
"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"
}
],
"glosses": [
"A nonlinear partial differential equation that provides necessary and sufficient conditions for optimality of a control with respect to a loss function."
],
"id": "en-Hamilton-Jacobi-Bellman_equation-en-noun-xdS6gtX3",
"links": [
[
"mathematics",
"mathematics"
],
[
"nonlinear",
"nonlinear"
],
[
"partial differential equation",
"partial differential equation"
],
[
"optimality",
"optimality"
],
[
"control",
"control"
],
[
"loss function",
"loss function"
]
],
"raw_glosses": [
"(mathematics) A nonlinear partial differential equation that provides necessary and sufficient conditions for optimality of a control with respect to a loss function."
],
"related": [
{
"word": "Bellman equation"
},
{
"word": "Hamilton-Jacobi equation"
}
],
"synonyms": [
{
"tags": [
"abbreviation"
],
"word": "HJB equation"
}
],
"topics": [
"mathematics",
"sciences"
],
"wikipedia": [
"Carl Gustav Jacob Jacobi",
"Richard E. Bellman",
"William Rowan Hamilton"
]
}
],
"word": "Hamilton-Jacobi-Bellman equation"
}
{
"etymology_text": "Named after William Rowan Hamilton, Carl Gustav Jacob Jacobi, and Richard E. Bellman.",
"forms": [
{
"form": "Hamilton-Jacobi-Bellman equations",
"tags": [
"plural"
]
}
],
"head_templates": [
{
"args": {},
"expansion": "Hamilton-Jacobi-Bellman equation (plural Hamilton-Jacobi-Bellman equations)",
"name": "en-noun"
}
],
"lang": "English",
"lang_code": "en",
"pos": "noun",
"related": [
{
"word": "Bellman equation"
},
{
"word": "Hamilton-Jacobi equation"
}
],
"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"
],
"glosses": [
"A nonlinear partial differential equation that provides necessary and sufficient conditions for optimality of a control with respect to a loss function."
],
"links": [
[
"mathematics",
"mathematics"
],
[
"nonlinear",
"nonlinear"
],
[
"partial differential equation",
"partial differential equation"
],
[
"optimality",
"optimality"
],
[
"control",
"control"
],
[
"loss function",
"loss function"
]
],
"raw_glosses": [
"(mathematics) A nonlinear partial differential equation that provides necessary and sufficient conditions for optimality of a control with respect to a loss function."
],
"synonyms": [
{
"tags": [
"abbreviation"
],
"word": "HJB equation"
}
],
"topics": [
"mathematics",
"sciences"
],
"wikipedia": [
"Carl Gustav Jacob Jacobi",
"Richard E. Bellman",
"William Rowan Hamilton"
]
}
],
"word": "Hamilton-Jacobi-Bellman equation"
}
Download raw JSONL data for Hamilton-Jacobi-Bellman equation 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 2024-12-21 from the enwiktionary dump dated 2024-12-04 using wiktextract (d8cb2f3 and 4e554ae). 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.