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Formula:10632

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Digital Library of Mathematical Functions ID 36.7.E6

exp ⁡ ( - 2 ⁢ π ⁢ i ⁢ ( z - z n Δ ⁢ z + 2 ⁢ x Δ ⁢ x ) ) ⁢ ( 2 ⁢ exp ⁡ ( - 6 ⁢ π ⁢ i ⁢ x Δ ⁢ x ) ⁢ cos ⁡ ( 2 ⁢ 3 ⁢ π ⁢ y Δ ⁢ x ) + 1 ) = 3 . 2 𝜋 𝑖 𝑧 subscript 𝑧 𝑛 Δ 𝑧 2 𝑥 Δ 𝑥 2 6 𝜋 𝑖 𝑥 Δ 𝑥 2 3 𝜋 𝑦 Δ 𝑥 1 3 {\displaystyle{\displaystyle\exp\left(-2\pi i\left(\frac{z-z_{n}}{\Delta z}+% \frac{2x}{\Delta x}\right)\right)\*{\left(2\exp\left(\frac{-6\pi ix}{\Delta x}% \right)\cos\left(\frac{2\sqrt{3}\pi y}{\Delta x}\right)+1\right)}=\sqrt{3}.}}


Constraint(s)

Symbols List

  • π {\displaystyle{\displaystyle\pi}} : the ratio of the circumference of a circle to its diameter
  • cos ⁡ z 𝑧 {\displaystyle{\displaystyle\cos\NVar{z}}} : cosine function
  • exp ⁡ z 𝑧 {\displaystyle{\displaystyle\exp\NVar{z}}} : exponential function
  • i imaginary-unit {\displaystyle{\displaystyle\mathrm{i}}} : imaginary unit
  • y 𝑦 {\displaystyle{\displaystyle y}} : real parameter
  • z 𝑧 {\displaystyle{\displaystyle z}} : real parameter
  • m 𝑚 {\displaystyle{\displaystyle m}} : integer
  • x 𝑥 {\displaystyle{\displaystyle x}} : real parameter
  •  Edit this on Wikidata

Resources that cite this formula

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This page was last edited on 3 March 2024, at 03:55.
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