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Formula:463

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Digital Library of Mathematical Functions ID 1.14.E2

| F ⁢ ( x ) | ≤ 1 2 ⁢ π ⁢ ∫ - ∞ ∞ | f ⁢ ( t ) | ⁢ d t . 𝐹 𝑥 1 2 𝜋 subscript superscript 𝑓 𝑡 𝑡 {\displaystyle{\displaystyle|F(x)|\leq\frac{1}{\sqrt{2\pi}}\int^{\infty}_{-% \infty}|f(t)|\mathrm{d}t.}}


Constraint(s)

Symbols List

  • π {\displaystyle{\displaystyle\pi}} : the ratio of the circumference of a circle to its diameter
  • d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}} : differential of x
  • ∫ {\displaystyle{\displaystyle\int}} : integral
  • F ⁢ ( x ) 𝐹 𝑥 {\displaystyle{\displaystyle F(x)}} : Fourier transform of f ( t )
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This page was last edited on 28 January 2024, at 10:30.
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