• ∇ The nabla is a triangular symbol resembling an inverted Greek delta: ∇ {\displaystyle \nabla } or ∇. The name comes, by reason of the symbol's shape...
    12 KB (1,424 words) - 13:55, 20 February 2024
  • Look up nabla in Wiktionary, the free dictionary. Nabla may refer to any of the following: the nabla symbol ∇ the vector differential operator, also called...
    568 bytes (118 words) - 07:52, 28 April 2024
  • Del (redirect from Nabla constant)
    or nabla, is an operator used in mathematics (particularly in vector calculus) as a vector differential operator, usually represented by the nabla symbol...
    21 KB (3,864 words) - 10:34, 29 February 2024
  • \operatorname {curl} \mathbf {A} \equiv \nabla \times (\nabla \times \mathbf {A} )=\nabla (\nabla \cdot \mathbf {A} )-\nabla ^{2}\mathbf {A} } (Lagrange's formula...
    34 KB (2,827 words) - 15:03, 22 April 2024
  • Thumbnail for Navier–Stokes equations
    \nabla )\mathbf {u} \right)=-\nabla p+\nabla \cdot \left\{\mu \left[\nabla \mathbf {u} +(\nabla \mathbf {u} )^{\mathrm {T} }-{\tfrac {2}{3}}(\nabla \cdot...
    97 KB (15,320 words) - 18:44, 19 May 2024
  • symbols ∇ ⋅ ∇ {\displaystyle \nabla \cdot \nabla } , ∇ 2 {\displaystyle \nabla ^{2}} (where ∇ {\displaystyle \nabla } is the nabla operator), or Δ {\displaystyle...
    27 KB (4,069 words) - 21:58, 2 May 2024
  • Thumbnail for Laplace's equation
    {\displaystyle \nabla ^{2}\!f=0} or Δ f = 0 , {\displaystyle \Delta f=0,} where Δ = ∇ ⋅ ∇ = ∇ 2 {\displaystyle \Delta =\nabla \cdot \nabla =\nabla ^{2}} is the...
    32 KB (4,943 words) - 08:35, 7 November 2023
  • Thumbnail for Maxwell's equations
    {\displaystyle {\begin{aligned}\nabla \cdot \mathbf {E} \,\,\,&={\frac {\rho }{\varepsilon _{0}}}\\\nabla \cdot \mathbf {B} \,\,\,&=0\\\nabla \times \mathbf {E} &=-{\frac...
    81 KB (7,877 words) - 20:01, 6 May 2024
  • {\displaystyle {\begin{aligned}\Delta h_{ij}&=\nabla ^{p}\nabla _{p}h_{ij}\\&=\nabla ^{p}\nabla _{i}h_{jp}\\&=\nabla _{i}\nabla ^{p}h_{jp}-{{R^{p}}_{ij}}^{q}h_{qp...
    4 KB (689 words) - 17:07, 14 April 2022
  • Thumbnail for Gradient
    variables is the vector field (or vector-valued function) ∇ f {\displaystyle \nabla f} whose value at a point p {\displaystyle p} gives the direction and the...
    35 KB (5,360 words) - 11:16, 8 May 2024