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just some typos in packages
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fchapoton committed Dec 19, 2024
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2 changes: 1 addition & 1 deletion M2/Macaulay2/packages/HolonomicSystems/DOC/Dsystems.m2
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Expand Up @@ -11,7 +11,7 @@ doc ///
D:PolynomialRing
Outputs
:Ideal
the toric ideal of the matrix $A$ in the polynomial ring of the partials inside of the Weyl algerba $D$.
the toric ideal of the matrix $A$ in the polynomial ring of the partials inside of the Weyl algebra $D$.
Description
Text
A $d \times n$ integer matrix $A$ determines a GKZ hypergeometric system of PDEs
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4 changes: 2 additions & 2 deletions M2/Macaulay2/packages/LLLBases.m2
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Expand Up @@ -946,9 +946,9 @@ document {
},
SUBSECTION "Orthogonalization Strategy",
UL {
{"default -- Classical Gramm-Schmidt Orthogonalization, ",
{"default -- Classical Gram-Schmidt Orthogonalization, ",
"This choice uses classical methods for computing
the Gramm-Schmidt othogonalization.
the Gram-Schmidt orthogonalization.
It is fast but prone to stability problems.
This strategy was first proposed by Schnorr and Euchner in the paper
mentioned above.
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2 changes: 1 addition & 1 deletion M2/Macaulay2/packages/MatchingFields.m2
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Expand Up @@ -978,7 +978,7 @@ matchingFieldFromPermutationNoScaling(ZZ, ZZ, List) := opts -> (Lk, Ln, S) -> (
-- 7) if not then d = d+1 and go back to step 2
-- 8) reduce the matching field ideal gens modulo the full GB and check if the result is zero
--
-- In the homgeneous case, it suffices to compute a GB up to degree limit d (step 1)
-- In the homogeneous case, it suffices to compute a GB up to degree limit d (step 1)
-- so we can forgo the while loop

isToricDegeneration = method ()
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Expand Up @@ -109,7 +109,7 @@ R = C[x_1..x_n]
F = apply(n-m, i->sub(random(d,CC[x_1..x_n]),R)) -- V(F) = intersection of n-m hypersurfaces of degree d
A = genericMatrix(C,n,m)
B = genericMatrix(C,b_1,1,m)
L = flatten entries (vars R * A + B) -- slice of complimentary dimension
L = flatten entries (vars R * A + B) -- slice of complementary dimension
G = polySystem(F|L)
clearAll()
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6 changes: 3 additions & 3 deletions M2/Macaulay2/packages/NumericalSemigroups.m2
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Expand Up @@ -461,7 +461,7 @@ apery List := HashTable => L -> (
a := 0; -- number of keys already filled in A
S := set L + set{0}; -- S will hold all the semigroup elmeents found, including 0

--now look for new Apery set elememts and semigroup elements until
--now look for new Apery set elements and semigroup elements until
--all the keys have been filled.
s := m;
while a < m-1 do(
Expand Down Expand Up @@ -2097,7 +2097,7 @@ Outputs
degrees of a basis of T^1(semigroupRing L)
Description
Text
T^1(B) is the tangent space to the versal deformaion of
T^1(B) is the tangent space to the versal deformation of
the ring B, and is finite dimensional when B has isolated
singularity. If B = S/I is a Cohen presentation, then
T^1(B) = coker Hom(Omega_S, B) -> Hom(I/I^2, B).
Expand Down Expand Up @@ -2797,7 +2797,7 @@ Inputs
g:ZZ
genus
m:ZZ
mutiplicity
multiplicity
c:ZZ
conductor
Outputs
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2 changes: 1 addition & 1 deletion M2/Macaulay2/packages/Permutations/docs.m2
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Expand Up @@ -972,7 +972,7 @@ doc ///
extend
(extend, Permutation, ZZ)
Headline
rewrites a permutation as a permution on more symbols
rewrites a permutation as a permutation on more symbols
Usage
extend(w,n)
Inputs
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2 changes: 1 addition & 1 deletion M2/Macaulay2/packages/PlaneCurveLinearSeries.m2
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Expand Up @@ -479,7 +479,7 @@ Outputs
Description
Text
Implements the additive inverse in the group law on the smooth points of
a plane curve E of genus 1, represented by its homogeneouos coordinate ring,
a plane curve E of genus 1, represented by its homogeneous coordinate ring,
with chosen zero point o.
Example
S = QQ[x,y,z]
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2 changes: 1 addition & 1 deletion M2/Macaulay2/packages/TateOnProducts.m2
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Expand Up @@ -856,7 +856,7 @@ viewHelp TateOnProducts

lastQuadrantComplex=method()
lastQuadrantComplex(ChainComplex,List) := (C,c) -> (
-- c index of the lower corner of the complentary first quadrant
-- c index of the lower corner of the complementary first quadrant
lastQuadrantComplex1(C,c-toList(#c:1)))


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2 changes: 1 addition & 1 deletion M2/Macaulay2/packages/TropicalToric/ToricCycleDoc.m2
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Expand Up @@ -326,7 +326,7 @@ doc ///
The set of torus-invariant cycles forms an abelian group
under addition. The basic operations arising from this structure,
including addition, subtraction, negation, and scalar
multplication by integers, are available.
multiplication by integers, are available.
Text
We illustrate a few of the possibilities on one variety.
Example
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2 changes: 1 addition & 1 deletion M2/Macaulay2/packages/TropicalToric/TropicalToricCode.m2
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Expand Up @@ -31,7 +31,7 @@ refineMultiplicity (TropicalCycle, NormalToricVariety) := (T,X) ->(

--input: normal toric varieties X,X' such that the identity on the lattices induces
-- a toric map phi:X' -> X,
-- list mult of multiplcities of cones of X' of dimension k
-- list mult of multiplicities of cones of X' of dimension k
--output: list of degrees deg([Y'] * phi^*(V(sigma)), where [Y'] is the class of the cycle
-- Y' in X' corresponding to the Minkowski weight given by mult.
-- Note that here [Y'] * V(sigma') = mult_sigma' for every cone sigma' of X'.
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