diff options
Diffstat (limited to 'src/algebra/vector.spad.pamphlet')
| -rw-r--r-- | src/algebra/vector.spad.pamphlet | 6 |
1 files changed, 3 insertions, 3 deletions
diff --git a/src/algebra/vector.spad.pamphlet b/src/algebra/vector.spad.pamphlet index 0406479e..04833f55 100644 --- a/src/algebra/vector.spad.pamphlet +++ b/src/algebra/vector.spad.pamphlet @@ -68,7 +68,7 @@ VectorCategory(R:Type): Category == OneDimensionalArrayAggregate R with add if R has AbelianSemiGroup then u + v == - (n := #u) ^= #v => error "Vectors must be of the same length" + (n := #u) ~= #v => error "Vectors must be of the same length" map(_+ , u, v) if R has AbelianMonoid then @@ -85,13 +85,13 @@ VectorCategory(R:Type): Category == OneDimensionalArrayAggregate R with if R has Ring then dot(u, v) == - #u ^= #v => error "Vectors must be of the same length" + #u ~= #v => error "Vectors must be of the same length" _+/[qelt(u, i) * qelt(v, i) for i in minIndex u .. maxIndex u] outerProduct(u, v) == matrix [[qelt(u, i) * qelt(v,j) for i in minIndex u .. maxIndex u] _ for j in minIndex v .. maxIndex v] cross(u, v) == - #u ^= 3 or #v ^= 3 => error "Vectors must be of length 3" + #u ~= 3 or #v ~= 3 => error "Vectors must be of length 3" construct [qelt(u, 2)*qelt(v, 3) - qelt(u, 3)*qelt(v, 2) , _ qelt(u, 3)*qelt(v, 1) - qelt(u, 1)*qelt(v, 3) , _ qelt(u, 1)*qelt(v, 2) - qelt(u, 2)*qelt(v, 1) ] |