Hamilton–Jacobi–Bellman equation

Summary

Hamilton–Jacobi–Bellman equation is a partial differential equation^[1]. It has Wikipedia articles in 6 language editions, a strong signal of global cultural recognition.^[2]

Key Facts

• Hamilton–Jacobi–Bellman equation's instance of is recorded as partial differential equation^[3].
• William Rowan Hamilton is named after Hamilton–Jacobi–Bellman equation^[4].
• Carl Gustav Jacob Jacobi is named after Hamilton–Jacobi–Bellman equation^[5].
• Richard E. Bellman is named after Hamilton–Jacobi–Bellman equation^[6].
• Hamilton–Jacobi equation is named after Hamilton–Jacobi–Bellman equation^[7].
• Hamilton–Jacobi–Bellman equation is the opposite of Bellman equation^[8].
• Hamilton–Jacobi–Bellman equation's facet of is recorded as optimal control^[9].
• Hamilton–Jacobi–Bellman equation's maintained by WikiProject is recorded as WikiProject Mathematics^[10].

Body

Definition and Type

Hamilton–Jacobi–Bellman equation's instance of is recorded as partial differential equation^[3]. It is the opposite of Bellman equation^[8].

Origins

Things named after include William Rowan Hamilton^[4], a mathematician^[11], 1805–1865^[12], of United Kingdom of Great Britain and Ireland^[13], awarded the Royal Medal^[14], specialised in mathematics^[15]; Carl Gustav Jacob Jacobi^[5], a mathematician^[16], 1804–1851^[17], of Kingdom of Prussia^[18], awarded the Pour le Mérite for Sciences and Arts order^[19], specialised in differential geometry^[20]; Richard E. Bellman^[6], a mathematician^[21], 1920–1984^[22], of United States^[23], awarded the John von Neumann Theory Prize^[24], specialised in applied mathematics^[25]; and Hamilton–Jacobi equation^[7], a necessity and sufficiency^[26].

Why It Matters

Hamilton–Jacobi–Bellman equation has Wikipedia articles in 6 language editions, a strong signal of global cultural recognition.^[2] It is known by 5 alternative names across languages and contexts.^[27]