Deprecated: $wgMWOAuthSharedUserIDs=false is deprecated, set $wgMWOAuthSharedUserIDs=true, $wgMWOAuthSharedUserSource='local' instead [Called from MediaWiki\HookContainer\HookContainer::run in /var/www/html/w/includes/HookContainer/HookContainer.php at line 135] in /var/www/html/w/includes/Debug/MWDebug.php on line 372
DLMF:7.7.E9 - MaRDI portal

DLMF:7.7.E9 (Q3077)

From MaRDI portal
No description defined
Language Label Description Also known as
English
DLMF:7.7.E9
No description defined

    Statements

    DLMF defining formula
    ∫ 0 x erf ⁡ t ⁢ d t = x ⁢ erf ⁡ x + 1 π ⁢ ( e - x 2 - 1 ) . superscript subscript 0 𝑥 error-function 𝑡 𝑡 𝑥 error-function 𝑥 1 𝜋 superscript 𝑒 superscript 𝑥 2 1 {\displaystyle{\displaystyle\int_{0}^{x}\operatorname{erf}t\mathrm{d}t=x% \operatorname{erf}x+\frac{1}{\sqrt{\pi}}\left(e^{-x^{2}}-1\right).}}
    0 references
    Symbols used
    the ratio of the circumference of a circle to its diameter
    DLMF defining formula
    π {\displaystyle{\displaystyle\pi}}
    xml-id
    C3.S12.E1.m2ahdec
    0 references
    differential of x
    DLMF defining formula
    d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
    xml-id
    C1.S4.SS4.m1ahdec
    0 references
    error function
    DLMF defining formula
    erf ⁡ z error-function 𝑧 {\displaystyle{\displaystyle\operatorname{erf}\NVar{z}}}
    xml-id
    C7.S2.E1.m2aadec
    0 references
    base of natural logarithm
    DLMF defining formula
    e {\displaystyle{\displaystyle\mathrm{e}}}
    xml-id
    C4.S2.E11.m2ahdec
    0 references
    integral
    DLMF defining formula
    ∫ {\displaystyle{\displaystyle\int}}
    xml-id
    C1.S4.SS4.m3ahdec
    0 references
    real variable
    DLMF defining formula
    x 𝑥 {\displaystyle{\displaystyle x}}
    xml-id
    C7.S1.XMD1.m1bdec
    0 references

    Identifiers

     
    Retrieved from "https://portal.mardi4nfdi.de/w/index.php?title=Item:Q3077&oldid=24165121"
    Powered by MediaWiki