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Verification
.
PlackettMinorPolynomial
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Imports
Init
Mathlib.Analysis.SpecialFunctions.Sqrt
Imported by
Verification
.
plackettMinorPolynomial
Verification
.
plackettMinorPolynomial_identity
Verification
.
plackettMinorPolynomial_zero
← Mathematical handbook
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def
Verification
.
plackettMinorPolynomial
(
q
p
t
:
ℝ
)
:
ℝ
The normalized symmetric corner minor, before substituting p=q-1.
Equations
One or more equations did not get rendered due to their size.
Instances For
source
theorem
Verification
.
plackettMinorPolynomial_identity
(
q
p
t
:
ℝ
)
:
q
^
4
*
(
q
^
2
-
4
*
q
*
p
*
t
*
(
1
-
t
))
^
3
-
(
q
-
2
*
p
*
t
*
(
1
-
t
))
^
2
*
(
q
-
p
*
t
)
^
8
=
t
^
2
*
plackettMinorPolynomial
q
p
t
source
theorem
Verification
.
plackettMinorPolynomial_zero
(
q
:
ℝ
)
:
plackettMinorPolynomial
q
(
q
-
1
)
0
=
8
*
q
^
8
*
(
q
-
1
)
*
(
2
-
q
)