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Formula:3089

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Digital Library of Mathematical Functions ID 7.8.E5

x 2 2 ⁢ x 2 + 1 ≤ x 2 ⁢ ( 2 ⁢ x 2 + 5 ) 4 ⁢ x 4 + 12 ⁢ x 2 + 3 ≤ x ⁢ 𝖬 ⁡ ( x ) < 2 ⁢ x 4 + 9 ⁢ x 2 + 4 4 ⁢ x 4 + 20 ⁢ x 2 + 15 < x 2 + 1 2 ⁢ x 2 + 3 , superscript 𝑥 2 2 superscript 𝑥 2 1 superscript 𝑥 2 2 superscript 𝑥 2 5 4 superscript 𝑥 4 12 superscript 𝑥 2 3 𝑥 Mills-ratio 𝑥 2 superscript 𝑥 4 9 superscript 𝑥 2 4 4 superscript 𝑥 4 20 superscript 𝑥 2 15 superscript 𝑥 2 1 2 superscript 𝑥 2 3 {\displaystyle{\displaystyle\frac{x^{2}}{2x^{2}+1}\leq\frac{x^{2}(2x^{2}+5)}{4% x^{4}+12x^{2}+3}\leq x\mathsf{M}\left(x\right)<\frac{2x^{4}+9x^{2}+4}{4x^{4}+2% 0x^{2}+15}<\frac{x^{2}+1}{2x^{2}+3},}}


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
  • 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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