or nabla, is an operator used in mathematics (particularly in vector calculus) as a vector differential operator, usually represented by the nabla symbol...

⋅ ∇ {\displaystyle \nabla \cdot \nabla } , ∇ 2 {\displaystyle \nabla ^{2}} (where ∇ {\displaystyle \nabla } is the nabla operator), or Δ {\displaystyle...

∇ The nabla is a triangular symbol resembling an inverted Greek delta: ∇ {\displaystyle \nabla } or ∇. The name comes, by reason of the symbol's shape...

tend to use the cross product notation with the del (nabla) operator, as in ∇ × F {\displaystyle \nabla \times \mathbf {F} } , which also reveals the relation...

∇ ⋅ ∇ {\displaystyle \nabla ^{2}\equiv \operatorname {div} \ \operatorname {grad} \equiv \nabla \cdot \nabla } Vector operators must always come right...

{p}}=-i\hbar \nabla ,} is the momentum operator where a ∇ {\displaystyle \nabla } is the del operator. The dot product of ∇ {\displaystyle \nabla } with itself...

Laplace–Beltrami operator itself does not depend on this additional structure. The exterior derivative d {\displaystyle d} and − ∇ {\displaystyle -\nabla } are formal...

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...

operator or sometimes quabla operator (cf. nabla symbol) is the Laplace operator of Minkowski space. The operator is named after French mathematician and...

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...

operator can be written in the position basis as: p ^ = − i ℏ ∇ {\displaystyle \mathbf {\hat {p}} =-i\hbar \nabla } where ∇ is the gradient operator,...

heat equation, where the matrix −L is replacing the Laplacian operator ∇ 2 {\textstyle \nabla ^{2}} ; hence, the "graph Laplacian". To find a solution to...

{\displaystyle {\boldsymbol {\omega }}\equiv \nabla \times \mathbf {v} \,,} where ∇ {\displaystyle \nabla } is the nabla operator. Conceptually, ω {\displaystyle {\boldsymbol...

dimensions the momentum operator uses the nabla operator to become: p ^ = − i ℏ ∇ . {\displaystyle \mathbf {\hat {p}} =-i\hbar \nabla .} In Cartesian coordinates...

{\displaystyle d=e^{a}\wedge \nabla _{e_{a}},\quad \delta =e^{a}\lrcorner \nabla _{e_{a}}} . Then we can define a Dirac-Kähler operator D {\displaystyle D} ,...

linear operator, and it satisfies the "product rule" ∇ ⋅ ( φ F ) = ( ∇ φ ) ⋅ F + φ ( ∇ ⋅ F ) {\displaystyle \nabla \cdot (\varphi \mathbf {F} )=(\nabla \varphi...

satisfy ∫ Ω ∇ u ⋅ ∇ φ d x = ∫ Ω f φ d x {\displaystyle \int _{\Omega }\nabla u\cdot \nabla \varphi \,\mathrm {d} x=\int _{\Omega }f\varphi \,\mathrm {d} x}...

a motor variable. The differential operator del, also called nabla, is an important vector differential operator. It appears frequently in physics in...

\operatorname {curl} \mathbf {A} \equiv \nabla \times (\nabla \times \mathbf {A} )=\nabla (\nabla \cdot \mathbf {A} )-\nabla ^{2}\mathbf {A} } (Lagrange's formula...

Laplace–Beltrami operator. It is defined as the trace of the second covariant derivative: Δ T = tr ∇ 2 T , {\displaystyle \Delta T={\text{tr}}\;\nabla ^{2}T,}...

{\displaystyle L=\square ={\tfrac {1}{c^{2}}}\partial _{t}^{2}-\nabla ^{2}} , the d'Alembert operator, and space has 3 dimensions then: [ [ L ] ] = [ [ length...

formula ∇ × u → {\displaystyle \nabla \times {\vec {\mathit {u}}}} , where ∇ {\displaystyle \nabla } is the nabla operator and u → {\displaystyle {\vec {\mathit...

Laplace operator, ∇ ⋅ {\displaystyle \nabla \cdot } is the divergence operator (also symbolized "div"), ∇ {\displaystyle \nabla } is the gradient operator (also...

rate of change. Div (divergence), (with operator symbol ∇ ⋅ {\displaystyle {\nabla \cdot }} ) is a vector operator that measures a vector field's divergence...

{u} ,\mathbf {v} ]} Vector notation is used with calculus through the Nabla operator: i ∂ ∂ x + j ∂ ∂ y + k ∂ ∂ z {\displaystyle \mathbf {i} {\frac {\partial...

difference operators are h D = − ln ⁡ ( 1 − ∇ h )  and  h D = 2 arsinh ⁡ ( 1 2 δ h )   . {\displaystyle h\operatorname {D} =-\ln(1-\nabla _{h})\quad {\text{...

'|}}\,\mathrm {d} S'\end{aligned}}} and ∇ ′ {\displaystyle \nabla '} is the nabla operator with respect to r ′ {\displaystyle \mathbf {r'} } , not r {\displaystyle...

y_{t}+\mathbf {a} (y)\cdot \nabla y=0} where the conserved quantity is y(r,t), ⋅ denotes the scalar product, ∇ is the nabla operator, here indicating a gradient...

the nabla symbol, ∇, denotes the three-dimensional gradient operator, del, the ∇⋅ symbol (pronounced "del dot") denotes the divergence operator, the...

In mathematics, a self-adjoint operator on a complex vector space V with inner product ⟨ ⋅ , ⋅ ⟩ {\displaystyle \langle \cdot ,\cdot \rangle } is a linear...