Hamilton–Jacobi equation
equation in classical mechanics
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Hamilton–Jacobi equation
Summary
Hamilton–Jacobi equation is a necessity and sufficiency[1]. It draws 284 Wikipedia views per month (necessity_and_sufficiency category, ranking #1 of 1).[2]
Key Facts
- Hamilton–Jacobi equation's instance of is recorded as necessity and sufficiency[3].
- Hamilton–Jacobi equation's instance of is recorded as mathematical concept[4].
- William Rowan Hamilton is named after Hamilton–Jacobi equation[5].
- Carl Gustav Jacob Jacobi is named after Hamilton–Jacobi equation[6].
- Hamilton–Jacobi equation's Freebase ID is recorded as /m/03mvt5[7].
- Hamilton–Jacobi equation's Gran Enciclopèdia Catalana ID is recorded as 0032082[8].
- Hamilton–Jacobi equation's defining formula is recorded as -\frac{\partial S}{\partial t} = H\left(\boldsymbol{q}, \frac{\partial S}{\partial \boldsymbol{q}}, t\right)[9].
- Hamilton–Jacobi equation's NE.se ID is recorded as hamilton-jacobis-ekvation[10].
- Hamilton–Jacobi equation's nLab ID is recorded as Hamilton-Jacobi equation[11].
- Hamilton–Jacobi equation's maintained by WikiProject is recorded as WikiProject Mathematics[12].
- Hamilton–Jacobi equation's Microsoft Academic ID is recorded as 2778860007[13].
- Hamilton–Jacobi equation's in defining formula is recorded as H[14].
- Hamilton–Jacobi equation's in defining formula is recorded as S[15].
- Hamilton–Jacobi equation's in defining formula is recorded as \boldsymbol{q}[16].
- Hamilton–Jacobi equation's in defining formula is recorded as t[17].
- Hamilton–Jacobi equation's OpenAlex ID is recorded as C2778860007[18].
- Hamilton–Jacobi equation's ScienceDirect topic ID is recorded as mathematics/hamilton-jacobi-equations[19].
- Hamilton–Jacobi equation's Gran Enciclopèdia Catalana ID is recorded as equacio-de-hamilton-jacobi[20].
Body
Works and Contributions
Things named for Hamilton–Jacobi equation include Hamilton–Jacobi–Bellman equation[21], a partial differential equation[22].
Why It Matters
Hamilton–Jacobi equation draws 284 Wikipedia views per month (necessity_and_sufficiency category, ranking #1 of 1).[2] It has Wikipedia articles in 19 language editions, a strong signal of global cultural recognition.[23] It is known by 40 alternative names across languages and contexts.[24]
Entities named for it include Hamilton–Jacobi–Bellman equation[21], a partial differential equation[22].