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Formula:1207

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Digital Library of Mathematical Functions ID 3.4.E32

∇ 4 ⁡ u = ∂ 4 ⁡ u ∂ ⁡ x 4 + 2 ⁢ ∂ 4 ⁡ u ∂ 2 ⁡ x ⁢ ∂ 2 ⁡ y + ∂ 4 ⁡ u ∂ ⁡ y 4 . superscript ∇ 4 𝑢 partial-derivative 𝑢 𝑥 4 2 𝑢 4 𝑥 2 𝑦 2 partial-derivative 𝑢 𝑦 4 {\displaystyle{\displaystyle\nabla^{4}u=\frac{{\partial}^{4}u}{{\partial x}^{4% }}+2\frac{{\partial}^{4}u}{{\partial}^{2}x{\partial}^{2}y}+\frac{{\partial}^{4% }u}{{\partial y}^{4}}\,.}}


Constraint(s)

Symbols List

  • ∂ ⁡ f ∂ ⁡ x partial-derivative 𝑓 𝑥 {\displaystyle{\displaystyle\frac{\partial\NVar{f}}{\partial\NVar{x}}}} : partial derivative of $$f$$ with respect to $$x$$
  • ∂ ⁡ x 𝑥 {\displaystyle{\displaystyle\partial\NVar{x}}} : partial differential of $$x$$
  • u 𝑢 {\displaystyle{\displaystyle u}} : function
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This page was last edited on 3 March 2024, at 02:39.
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