DLMF:2.1.E3 (Q687)

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DLMF:2.1.E3
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    Statements

    Defining formula
    f ⁢ ( x ) = O ⁡ ( ϕ ⁢ ( x ) ) ⟺ | f ⁢ ( x ) / ϕ ⁢ ( x ) | ⁢  is bounded. ⟺ 𝑓 𝑥 Big-O italic-ϕ 𝑥 𝑓 𝑥 italic-ϕ 𝑥  is bounded. {\displaystyle{\displaystyle\displaystyle f(x)=O\left(\phi(x)\right)% \Longleftrightarrow|f(x)/\phi(x)|\text{ is bounded.}}}
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    DLMF:2.1.E3
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