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| author | dos-reis <gdr@axiomatics.org> | 2008-04-03 04:23:42 +0000 |
|---|---|---|
| committer | dos-reis <gdr@axiomatics.org> | 2008-04-03 04:23:42 +0000 |
| commit | 001e19b08ba7fb1b9e6f6bdb44a82ba3db3fc532 (patch) | |
| tree | da9e2fe5d81ff4cd7709d12e44b8c3e348b8a8e3 /src/algebra/vector.spad.pamphlet | |
| parent | a7bab9a6c2070d05e2dbd256ce455079c8ced385 (diff) | |
| download | open-axiom-001e19b08ba7fb1b9e6f6bdb44a82ba3db3fc532.tar.gz | |
Replace `^=' with `~='.
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) ] |