Christoffel symbol en · NOUN
Etymology
Named for Elwin Bruno Christoffel (1829–1900).
Meanings
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(qualifier:differential geometry) 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
Forms
| Spelling | Features | Labels | Source |
|---|---|---|---|
| Christoffel symbols | Number=Plur | lexicographic |
Translations (1)
bg символ на Кристофел (component of second derivative)