diff --git a/M2/Macaulay2/packages/NumericalSemigroups.m2 b/M2/Macaulay2/packages/NumericalSemigroups.m2 index 521506c20ac..6718eece6c3 100644 --- a/M2/Macaulay2/packages/NumericalSemigroups.m2 +++ b/M2/Macaulay2/packages/NumericalSemigroups.m2 @@ -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( @@ -2797,7 +2797,7 @@ Inputs g:ZZ genus m:ZZ - mutiplicity + multiplicity c:ZZ conductor Outputs diff --git a/M2/Macaulay2/packages/PencilsOfQuadrics.m2 b/M2/Macaulay2/packages/PencilsOfQuadrics.m2 index 378c4d06dc8..0a1f7671602 100644 --- a/M2/Macaulay2/packages/PencilsOfQuadrics.m2 +++ b/M2/Macaulay2/packages/PencilsOfQuadrics.m2 @@ -2805,7 +2805,7 @@ doc /// Text A vector bundle on a hyperelliptic curve E with equation y^2 - (-1)^g * f - can be represeted by it's pushforward V to PP^1, + can be represented by it's pushforward V to PP^1, under the degree 2 map, which will be a vector bundle of twice the rank, together with a matrix diff --git a/M2/Macaulay2/packages/Permutations/docs.m2 b/M2/Macaulay2/packages/Permutations/docs.m2 index 25f927ffa13..12337bc924b 100644 --- a/M2/Macaulay2/packages/Permutations/docs.m2 +++ b/M2/Macaulay2/packages/Permutations/docs.m2 @@ -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