DLMF:1.2.E5} (Q34): Difference between revisions

From DRMF
Jump to navigation Jump to search
Created a new Item: Wikidata Toolkit example test item creation
 
Changed an Item: Add constraint
 
(2 intermediate revisions by the same user not shown)
Property / Symbols used
 
Property / Symbols used: Q10754 / rank
 
Normal rank
Property / Symbols used: Q10754 / qualifier
 
Defining formula:

( m n ) binomial 𝑚 𝑛 {\displaystyle{\displaystyle\genfrac{(}{)}{0.0pt}{}{\NVar{m}}{\NVar{n}}}}

\binom{\NVar{m}}{\NVar{n}}
Property / Symbols used: Q10754 / qualifier
 
xml-id: C1.S2.SS1.m1addec
Property / Symbols used
 
Property / Symbols used: Q10758 / rank
 
Normal rank
Property / Symbols used: Q10758 / qualifier
 
Defining formula:

{\displaystyle{\displaystyle\ell}}

\ell
Property / Symbols used: Q10758 / qualifier
 
xml-id: C1.S1.XMD5.m1dec
Property / Symbols used
 
Property / Symbols used: Q10757 / rank
 
Normal rank
Property / Symbols used: Q10757 / qualifier
 
Defining formula:

n 𝑛 {\displaystyle{\displaystyle n}}

n
Property / Symbols used: Q10757 / qualifier
 
xml-id: C1.S1.XMD7.m1ddec

Latest revision as of 15:46, 1 January 2020

No description defined
Language Label Description Also known as
English
DLMF:1.2.E5}
No description defined

    Statements

    ( n 0 ) + ( n 2 ) + ( n 4 ) + + ( n ) = 2 n - 1 , binomial 𝑛 0 binomial 𝑛 2 binomial 𝑛 4 binomial 𝑛 superscript 2 𝑛 1 {\displaystyle{\displaystyle\genfrac{(}{)}{0.0pt}{}{n}{0}+\genfrac{(}{)}{0.0pt% }{}{n}{2}+\genfrac{(}{)}{0.0pt}{}{n}{4}+\dots+\genfrac{(}{)}{0.0pt}{}{n}{\ell}% =2^{n-1},}}
    0 references
    DLMF:1.2.E5}
    0 references
    ( m n ) binomial 𝑚 𝑛 {\displaystyle{\displaystyle\genfrac{(}{)}{0.0pt}{}{\NVar{m}}{\NVar{n}}}}
    C1.S2.SS1.m1addec
    0 references
    {\displaystyle{\displaystyle\ell}}
    C1.S1.XMD5.m1dec
    0 references
    n 𝑛 {\displaystyle{\displaystyle n}}
    C1.S1.XMD7.m1ddec
    0 references