DLMF:1.4.E32 (Q111)

From DRMF
Revision as of 15:52, 1 January 2020 by Admin (talk | contribs) (‎Changed an Item: Add constraint)
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
Jump to navigation Jump to search
No description defined
Language Label Description Also known as
English
DLMF:1.4.E32
No description defined

    Statements

    Defining formula
    ∥ f ∥ 2 2 ≡ ∫ a b | f ⁢ ( x ) | 2 ⁢ d x < ∞ . equal-by definition subscript superscript norm 𝑓 2 2 subscript superscript 𝑏 𝑎 superscript 𝑓 𝑥 2 𝑥 {\displaystyle{\displaystyle\|f\|^{2}_{2}\equiv\int^{b}_{a}|f(x)|^{2}\mathrm{d% }x<\infty.}}
    0 references
    DLMF id
    DLMF:1.4.E32
    0 references
    Symbols used
    Q10770
    Defining formula
    d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
    xml-id
    C1.S4.SS4.m1apdec
    0 references
    Q10769
    Defining formula
    ≡ equal-by definition {\displaystyle{\displaystyle\equiv}}
    xml-id
    introduction.Sx4.p1.t1.r9.m2abdec
    0 references
    Q10771
    Defining formula
    ∫ {\displaystyle{\displaystyle\int}}
    xml-id
    C1.S4.SS4.m3apdec
    0 references
     
        Retrieved from "https://drmf-beta.wmflabs.org/index.php?title=Item:Q111&oldid=22336"