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authordos-reis <gdr@axiomatics.org>2011-10-25 03:47:29 +0000
committerdos-reis <gdr@axiomatics.org>2011-10-25 03:47:29 +0000
commit2092a554d70524bc90440d96367e32c9ede28ee8 (patch)
treef60d455b9d03bfe6454bb2ae33b82114aeb3f91b /src/algebra/perman.spad.pamphlet
parent99aeb02edd1614d30e308a9267325f138617d58f (diff)
downloadopen-axiom-2092a554d70524bc90440d96367e32c9ede28ee8.tar.gz
* algebra/perman.spad.pamphlet (Permanent): Specify type of local
variable j. * algebra/patmatch1.spad.pamphlet (PatternMatchTools): Tidy. * algebra/padic.spad.pamphlet: Restrict type of literal constants. * algebra/sttf.spad.pamphlet: Likewise. * algebra/puiseux.spad.pamphlet: Likewise. * algebra/odealg.spad.pamphlet (SystemODESolver) [applyLodo0]: Specify type of local variable ans. * algebra/numtheor.spad.pamphlet (IntegerNumberTheoryFunctions): Tidy. * algebra/naalgc.spad.pamphlet (MonadWithUnit) [rightPower]: Specify type of local variable res. [leftPower]: Likewise. * algebra/lodop.spad.pamphlet (NonCommutativeOperatorDivision) [leftLcm]: Specify type of local variable v. * algebra/intfact.spad.pamphlet (IntegerRoots) [approxSqrt]: Specify type of local variables old and new. * algebra/elfuts.spad.pamphlet (EllipticFunctionsUnivariateTaylorSeries): Restrict types of literal constants. * algebra/ffnb.spad.pamphlet (FiniteFieldNormalBasisExtensionByPolynomial): Likewise. * algebra/fnla.spad.pamphlet (FreeNilpotentLie): Likewise. * algebra/intaux.spad.pamphlet (IntegrationResult): Likewise. * algebra/defintef.spad.pamphlet (ElementaryFunctionDefiniteIntegration) [checkSMP]: Specify type in the definition of local variable n. * algebra/combinat.spad.pamphlet (IntegerCombinatoricFunctions): Tidy definition of local variables. * algebra/clifford.spad.pamphlet (CliffordAlgebra): Specify type in the definition of local variables k, exchanges, bz. * algebra/catdef.spad.pamphlet (CartesianTensor): Specify type in the definition of local varibles rx and offz. Remove useless variables zol, xol, oly, and zoly.
Diffstat (limited to 'src/algebra/perman.spad.pamphlet')
-rw-r--r--src/algebra/perman.spad.pamphlet6
1 files changed, 3 insertions, 3 deletions
diff --git a/src/algebra/perman.spad.pamphlet b/src/algebra/perman.spad.pamphlet
index b45620a4..73e20b31 100644
--- a/src/algebra/perman.spad.pamphlet
+++ b/src/algebra/perman.spad.pamphlet
@@ -164,7 +164,7 @@ Permanent(n : PositiveInteger, R : Ring with commutative("*")):
vv : V V I := firstSubsetGray(n)$GRAY
-- For the meaning of the elements of vv, see GRAY.
w : V R := new(n,0$R)
- j := 1 -- Will be the number of the element changed in subset
+ j: I := 1 -- Will be the number of the element changed in subset
while j ~= (n+1) repeat -- we sum over all subsets of (1,...,n)
sgn := -sgn
b := sgn
@@ -209,7 +209,7 @@ Permanent(n : PositiveInteger, R : Ring with commutative("*")):
for i in 1..n repeat
b := b * w.i
a := a+b
- j := 1 -- Will be the number of the element changed in subset
+ j: I := 1 -- Will be the number of the element changed in subset
while j ~= n repeat -- we sum over all subsets of (1,...,n-1)
sgn := -sgn
b := sgn
@@ -255,7 +255,7 @@ Permanent(n : PositiveInteger, R : Ring with commutative("*")):
for i in 1..n repeat
b := b *$R w.i
a := a +$R b
- j := 1 -- Will be the number of the element changed in subset
+ j: I := 1 -- Will be the number of the element changed in subset
while j ~= n repeat -- we sum over all subsets of (1,...,n-1)
sgn := -sgn
b := sgn