Contextualizebeta

Christoffel symbol

noun

Etymology

Named for Elwin Bruno Christoffel (1829–1900).

Definitions

  1. For a surface with parametrization ⃑x(u,v), and letting i,j,k∈u,v, the Christoffel symbol…

    For a surface with parametrization ⃑x(u,v), and letting i,j,k∈u,v, the Christoffel symbol Γᵢⱼᵏ is the component of the second derivative ⃑x_ij in the direction of the first derivative ⃑x_k, and it encodes information about the surface's curvature. Thus,

    • ⃑x_uu\⃑x_uv\⃑x_vv=ΓᵤᵤᵘΓᵤᵤᵛl\ΓᵤᵥᵘΓᵤᵥᵛm\ΓᵥᵥᵘΓᵥᵥᵛn⃑x_u\⃑x_v\⃑n

The neighborhood

Vish — recursive loop

No curated loop yet for Christoffel symbol. Loops are being traced one word at a time while the ingestion pipeline matures.

sense glosses and etymology drawn from English Wiktionary · source · CC-BY-SA