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DLMF:1.3.E9
(Q38)
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English
DLMF:1.3.E9
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Digital Library of Mathematical Functions ID
1.3.E9
0 references
DLMF defining formula
det
[
a
j
k
]
2
≤
(
∑
k
=
1
n
a
1
k
2
)
(
∑
k
=
1
n
a
2
k
2
)
…
(
∑
k
=
1
n
a
n
k
2
)
.
superscript
delimited-[]
subscript
𝑎
𝑗
𝑘
2
subscript
superscript
𝑛
𝑘
1
subscript
superscript
𝑎
2
1
𝑘
subscript
superscript
𝑛
𝑘
1
subscript
superscript
𝑎
2
2
𝑘
…
subscript
superscript
𝑛
𝑘
1
subscript
superscript
𝑎
2
𝑛
𝑘
{\displaystyle{\displaystyle\det[a_{jk}]^{2}\leq\left(\sum^{n}_{k=1}a^{2}_{1k}% \right)\left(\sum^{n}_{k=1}a^{2}_{2k}\right)\dots\left(\sum^{n}_{k=1}a^{2}_{nk% }\right).}}
0 references
comment
Warning: Falling back to standard tex;
0 references
Symbols used
Q10739
DLMF defining formula
det
{\displaystyle{\displaystyle\det}}
xml-id
C1.S3.SS1.m1agdec
0 references
integer
DLMF defining formula
j
𝑗
{\displaystyle{\displaystyle j}}
xml-id
C1.S1.XMD3.m1gdec
0 references
integer
DLMF defining formula
k
𝑘
{\displaystyle{\displaystyle k}}
xml-id
C1.S1.XMD4.m1gdec
0 references
nonnegative integer
DLMF defining formula
n
𝑛
{\displaystyle{\displaystyle n}}
xml-id
C1.S1.XMD7.m1adec
0 references
instance of
Digital Library of Mathematical Functions Formula
0 references
MaRDI profile type
MaRDI formula profile
0 references
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Formula:38
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