DLMF:3.4.E26 (Q1230): 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
Property / Symbols used
 
Property / Symbols used: order not exceeding / rank
 
Normal rank
Property / Symbols used: order not exceeding / qualifier
 
Defining formula:

O ( x ) Big-O 𝑥 {\displaystyle{\displaystyle O\left(\NVar{x}\right)}}

\bigO@{\NVar{x}}
Property / Symbols used: order not exceeding / qualifier
 
xml-id: C2.S1.E3.m2afdec

Revision as of 17:48, 1 January 2020

No description defined
Language Label Description Also known as
English
DLMF:3.4.E26
No description defined

    Statements

    2 u 0 , 0 x y = - 1 2 h 2 ( u 1 , 0 + u - 1 , 0 + u 0 , 1 + u 0 , - 1 - 2 u 0 , 0 - u 1 , 1 - u - 1 , - 1 ) + O ( h 2 ) . subscript 𝑢 0 0 2 𝑥 𝑦 1 2 superscript 2 subscript 𝑢 1 0 subscript 𝑢 1 0 subscript 𝑢 0 1 subscript 𝑢 0 1 2 subscript 𝑢 0 0 subscript 𝑢 1 1 subscript 𝑢 1 1 Big-O superscript 2 {\displaystyle{\displaystyle\frac{{\partial}^{2}u_{0,0}}{\partial x\partial y}% =-\frac{1}{2h^{2}}\,(u_{1,0}+u_{-1,0}+u_{0,1}+u_{0,-1}-2u_{0,0}-u_{1,1}-u_{-1,% -1})+O\left(h^{2}\right).}}
    0 references
    DLMF:3.4.E26
    0 references
    O ( x ) Big-O 𝑥 {\displaystyle{\displaystyle O\left(\NVar{x}\right)}}
    C2.S1.E3.m2afdec
    0 references