DLMF:3.1.E3 (Q1065): Difference between revisions

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Property / Symbols defined
 
Property / Symbols defined: underflow (locally) / rank
 
Normal rank
Property / Symbols defined
 
Property / Symbols defined: overflow (locally) / rank
 
Normal rank
Property / Symbols used
 
Property / Symbols used: Q10769 / rank
 
Normal rank
Property / Symbols used: Q10769 / qualifier
 
test:

≡ equal-by definition {\displaystyle{\displaystyle\equiv}}

\defeq
Property / Symbols used: Q10769 / qualifier
 
xml-id: introduction.Sx4.p1.t1.r9.m2adec
Property / Symbols used
 
Property / Symbols used: Q11149 / rank
 
Normal rank
Property / Symbols used: Q11149 / qualifier
 
test:

p 𝑝 {\displaystyle{\displaystyle p}}

p
Property / Symbols used: Q11149 / qualifier
 
xml-id: C3.S1.XMD3.m1bdec
Property / Symbols used
 
Property / Symbols used: Q11151 / rank
 
Normal rank
Property / Symbols used: Q11151 / qualifier
 
test:

E min subscript 𝐸 min {\displaystyle{\displaystyle E_{{\rm min}}}}

E_{{\rm min}}
Property / Symbols used: Q11151 / qualifier
 
xml-id: C3.S1.XMD6.m1dec
Property / Symbols used
 
Property / Symbols used: Q11152 / rank
 
Normal rank
Property / Symbols used: Q11152 / qualifier
 
test:

E max subscript 𝐸 max {\displaystyle{\displaystyle E_{{\rm max}}}}

E_{{\rm max}}
Property / Symbols used: Q11152 / qualifier
 
xml-id: C3.S1.XMD7.m1dec

Latest revision as of 16:43, 1 January 2020

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DLMF:3.1.E3
No description defined

    Statements

    test
    N min ≡ 2 E min ≤ | x | ≤ 2 E max + 1 ⁢ ( 1 - 2 - p ) ≡ N max . equal-by definition subscript 𝑁 min superscript 2 subscript 𝐸 min 𝑥 superscript 2 subscript 𝐸 max 1 1 superscript 2 𝑝 equal-by definition subscript 𝑁 max {\displaystyle{\displaystyle N_{{\rm min}}\equiv 2^{E_{{\rm min}}}\leq|x|\leq 2% ^{E_{{\rm max}}+1}\left(1-2^{-p}\right)\equiv N_{{\rm max}}.}}
    0 references
    DLMF id
    DLMF:3.1.E3
    0 references
    Symbols used
    Q10769
    test
    ≡ equal-by definition {\displaystyle{\displaystyle\equiv}}
    xml-id
    introduction.Sx4.p1.t1.r9.m2adec
    0 references
    Q11149
    test
    p 𝑝 {\displaystyle{\displaystyle p}}
    xml-id
    C3.S1.XMD3.m1bdec
    0 references
    Q11151
    test
    E min subscript 𝐸 min {\displaystyle{\displaystyle E_{{\rm min}}}}
    xml-id
    C3.S1.XMD6.m1dec
    0 references
    Q11152
    test
    E max subscript 𝐸 max {\displaystyle{\displaystyle E_{{\rm max}}}}
    xml-id
    C3.S1.XMD7.m1dec
    0 references
     
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