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Formula:3086

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Digital Library of Mathematical Functions ID 7.8.E2

1 x + x 2 + 2 < 𝖬 ⁡ ( x ) ≤ 1 x + x 2 + ( 4 / π ) , 1 𝑥 superscript 𝑥 2 2 Mills-ratio 𝑥 1 𝑥 superscript 𝑥 2 4 𝜋 {\displaystyle{\displaystyle\frac{1}{x+\sqrt{x^{2}+2}}<\mathsf{M}\left(x\right% )\leq\frac{1}{x+\sqrt{x^{2}+(4/\pi)}},}}


Constraint(s)

x ≥ 0 𝑥 0 {\displaystyle{\displaystyle x\geq 0}}

Symbols List

  • 𝖬 ⁡ ( x ) Mills-ratio 𝑥 {\displaystyle{\displaystyle\mathsf{M}\left(\NVar{x}\right)}} : Mills’ ratio
  • π {\displaystyle{\displaystyle\pi}} : the ratio of the circumference of a circle to its diameter
  • x 𝑥 {\displaystyle{\displaystyle x}} : real variable
  •  Edit this on Wikidata

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This page was last edited on 3 March 2024, at 01:49.
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