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DLMF:1.3.E17
(Q46)
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English
DLMF:1.3.E17
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Statements
DLMF defining formula
det
[
t
j
k
]
=
∏
1
≤
j
<
k
≤
n
(
x
j
-
x
k
)
∏
2
≤
j
≤
k
≤
n
(
b
j
-
a
k
)
.
delimited-[]
subscript
𝑡
𝑗
𝑘
subscript
product
1
𝑗
𝑘
𝑛
subscript
𝑥
𝑗
subscript
𝑥
𝑘
subscript
product
2
𝑗
𝑘
𝑛
subscript
𝑏
𝑗
subscript
𝑎
𝑘
{\displaystyle{\displaystyle\det[t_{jk}]=\prod_{1\leq j<k\leq n}(x_{j}-x_{k})% \prod_{2\leq j\leq k\leq n}(b_{j}-a_{k}).}}
0 references
comment
Warning: Falling back to standard tex;
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Symbols used
Q10739
DLMF defining formula
det
{\displaystyle{\displaystyle\det}}
xml-id
C1.S3.SS1.m1amdec
0 references
integer
DLMF defining formula
j
𝑗
{\displaystyle{\displaystyle j}}
xml-id
C1.S1.XMD3.m1ndec
0 references
integer
DLMF defining formula
k
𝑘
{\displaystyle{\displaystyle k}}
xml-id
C1.S1.XMD4.m1odec
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nonnegative integer
DLMF defining formula
n
𝑛
{\displaystyle{\displaystyle n}}
xml-id
C1.S1.XMD7.m1idec
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elements (locally)
DLMF defining formula
t
j
k
subscript
𝑡
𝑗
𝑘
{\displaystyle{\displaystyle t_{jk}}}
xml-id
C1.S3.XMD5.m1adec
0 references
instance of
Digital Library of Mathematical Functions Formula
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MaRDI profile type
MaRDI formula profile
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Identifiers
Digital Library of Mathematical Functions ID
1.3.E17
0 references
Sitelinks
Mathematics
(1 entry)
mardi
Formula:46
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