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Formula:718

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Digital Library of Mathematical Functions ID 2.3.E28

d w d t = ± 1 ( 2 ⁢ p ⁢ ( α , t ) - 2 ⁢ p ⁢ ( α , α ) ) 1 / 2 ⁢ ∂ ⁡ p ⁢ ( α , t ) ∂ ⁡ t derivative 𝑤 𝑡 plus-or-minus 1 superscript 2 𝑝 𝛼 𝑡 2 𝑝 𝛼 𝛼 1 2 partial-derivative 𝑝 𝛼 𝑡 𝑡 {\displaystyle{\displaystyle\frac{\mathrm{d}w}{\mathrm{d}t}=\pm\frac{1}{(2p(% \alpha,t)-2p(\alpha,\alpha))^{1/2}}\frac{\partial p(\alpha,t)}{\partial t}}}


Constraint(s)

Symbols List

  • d f d x derivative 𝑓 𝑥 {\displaystyle{\displaystyle\frac{\mathrm{d}\NVar{f}}{\mathrm{d}\NVar{x}}}} : derivative of $$f$$ with respect to $$x$$
  • ∂ ⁡ 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 $$x$$
  • p ⁢ ( α , t ) 𝑝 𝛼 𝑡 {\displaystyle{\displaystyle p(\alpha,t)}} : function
  • w 𝑤 {\displaystyle{\displaystyle w}} : change of variable
  •  Edit this on Wikidata

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This page was last edited on 28 January 2024, at 10:02.
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