DLMF:4.26.E10 (Q1826): Difference between revisions

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Property / constraint
 

m n 𝑚 𝑛 {\displaystyle{\displaystyle m\neq n}}

m\neq n
Property / constraint: m n 𝑚 𝑛 {\displaystyle{\displaystyle m\neq n}} / rank
 
Normal rank
Property / Symbols used
 
Property / Symbols used: the ratio of the circumference of a circle to its diameter / rank
 
Normal rank
Property / Symbols used: the ratio of the circumference of a circle to its diameter / qualifier
 
test:

π {\displaystyle{\displaystyle\pi}}

\cpi
Property / Symbols used: the ratio of the circumference of a circle to its diameter / qualifier
 
xml-id: C3.S12.E1.m2aedec
Property / Symbols used
 
Property / Symbols used: cosine function / rank
 
Normal rank
Property / Symbols used: cosine function / qualifier
 
test:

cos z 𝑧 {\displaystyle{\displaystyle\cos\NVar{z}}}

\cos@@{\NVar{z}}
Property / Symbols used: cosine function / qualifier
 
xml-id: C4.S14.E2.m2aedec
Property / Symbols used
 
Property / Symbols used: Q10770 / rank
 
Normal rank
Property / Symbols used: Q10770 / qualifier
 
test:

d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}

\diff{\NVar{x}}
Property / Symbols used: Q10770 / qualifier
 
xml-id: C1.S4.SS4.m1aidec
Property / Symbols used
 
Property / Symbols used: Q10771 / rank
 
Normal rank
Property / Symbols used: Q10771 / qualifier
 
test:

{\displaystyle{\displaystyle\int}}

\int
Property / Symbols used: Q10771 / qualifier
 
xml-id: C1.S4.SS4.m3aidec
Property / Symbols used
 
Property / Symbols used: Q11249 / rank
 
Normal rank
Property / Symbols used: Q11249 / qualifier
 
test:

m 𝑚 {\displaystyle{\displaystyle m}}

m
Property / Symbols used: Q11249 / qualifier
 
xml-id: C4.S1.XMD2.m1adec
Property / Symbols used
 
Property / Symbols used: Q11223 / rank
 
Normal rank
Property / Symbols used: Q11223 / qualifier
 
test:

n 𝑛 {\displaystyle{\displaystyle n}}

n
Property / Symbols used: Q11223 / qualifier
 
xml-id: C4.S1.XMD3.m1adec

Latest revision as of 17:41, 1 January 2020

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DLMF:4.26.E10
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    Statements

    0 π cos ( m t ) cos ( n t ) d t = 0 , superscript subscript 0 𝜋 𝑚 𝑡 𝑛 𝑡 𝑡 0 {\displaystyle{\displaystyle\int_{0}^{\pi}\cos\left(mt\right)\cos\left(nt% \right)\mathrm{d}t=0,}}
    0 references
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    m n 𝑚 𝑛 {\displaystyle{\displaystyle m\neq n}}
    0 references
    π {\displaystyle{\displaystyle\pi}}
    C3.S12.E1.m2aedec
    0 references
    cos z 𝑧 {\displaystyle{\displaystyle\cos\NVar{z}}}
    C4.S14.E2.m2aedec
    0 references
    d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
    C1.S4.SS4.m1aidec
    0 references
    {\displaystyle{\displaystyle\int}}
    C1.S4.SS4.m3aidec
    0 references
    m 𝑚 {\displaystyle{\displaystyle m}}
    C4.S1.XMD2.m1adec
    0 references
    n 𝑛 {\displaystyle{\displaystyle n}}
    C4.S1.XMD3.m1adec
    0 references