DLMF:24.9.E2 (Q7498): Difference between revisions

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Created a new Item: Wikidata Toolkit example test item creation
 
Changed an Item: Add constraint
 
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Property / constraint
 

1 x 0 1 𝑥 0 {\displaystyle{\displaystyle 1\geq x\geq 0}}

1\geq x\geq 0
Property / constraint: 1 x 0 1 𝑥 0 {\displaystyle{\displaystyle 1\geq x\geq 0}} / rank
 
Normal rank
Property / Symbols used
 
Property / Symbols used: Q11109 / rank
 
Normal rank
Property / Symbols used: Q11109 / qualifier
 
Defining formula:

B n Bernoulli-number-B 𝑛 {\displaystyle{\displaystyle B_{\NVar{n}}}}

\BernoullinumberB{\NVar{n}}
Property / Symbols used: Q11109 / qualifier
 
xml-id: C24.S2.SS1.m1aadec
Property / Symbols used
 
Property / Symbols used: Q11288 / rank
 
Normal rank
Property / Symbols used: Q11288 / qualifier
 
Defining formula:

B n ( x ) Bernoulli-polynomial-B 𝑛 𝑥 {\displaystyle{\displaystyle B_{\NVar{n}}\left(\NVar{x}\right)}}

\BernoullipolyB{\NVar{n}}@{\NVar{x}}
Property / Symbols used: Q11288 / qualifier
 
xml-id: C24.S2.SS1.m2aadec
Property / Symbols used
 
Property / Symbols used: Q12110 / rank
 
Normal rank
Property / Symbols used: Q12110 / qualifier
 
Defining formula:

n 𝑛 {\displaystyle{\displaystyle n}}

n
Property / Symbols used: Q12110 / qualifier
 
xml-id: C24.S1.XMD5.m1adec
Property / Symbols used
 
Property / Symbols used: Q12112 / rank
 
Normal rank
Property / Symbols used: Q12112 / qualifier
 
Defining formula:

x 𝑥 {\displaystyle{\displaystyle x}}

x
Property / Symbols used: Q12112 / qualifier
 
xml-id: C24.S1.XMD7.m1adec

Latest revision as of 01:38, 2 January 2020

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DLMF:24.9.E2
No description defined

    Statements

    ( 2 - 2 1 - 2 n ) | B 2 n | | B 2 n ( x ) - B 2 n | , 2 superscript 2 1 2 𝑛 Bernoulli-number-B 2 𝑛 Bernoulli-polynomial-B 2 𝑛 𝑥 Bernoulli-number-B 2 𝑛 {\displaystyle{\displaystyle(2-2^{1-2n})|B_{2n}|\geq|B_{2n}\left(x\right)-B_{2% n}|,}}
    0 references
    DLMF:24.9.E2
    0 references
    1 x 0 1 𝑥 0 {\displaystyle{\displaystyle 1\geq x\geq 0}}
    0 references
    B n Bernoulli-number-B 𝑛 {\displaystyle{\displaystyle B_{\NVar{n}}}}
    C24.S2.SS1.m1aadec
    0 references
    B n ( x ) Bernoulli-polynomial-B 𝑛 𝑥 {\displaystyle{\displaystyle B_{\NVar{n}}\left(\NVar{x}\right)}}
    C24.S2.SS1.m2aadec
    0 references
    n 𝑛 {\displaystyle{\displaystyle n}}
    C24.S1.XMD5.m1adec
    0 references
    x 𝑥 {\displaystyle{\displaystyle x}}
    C24.S1.XMD7.m1adec
    0 references