Geometric algebra: Difference between revisions
Content added Content deleted
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function testcliffordvector() |
function testcliffordvector() |
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allorthonormal = true |
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for i in 0:4, j in 0:4 |
for i in 0:4, j in 0:4 |
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i < j && |
i < j && all(iszero, e(i) * e(j)) != 0.0 && (allorthonormal = false) |
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i == j && |
i == j && !all(iszero, e(i) * e(j)) == 0.0 && (allorthonormal = false) |
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end |
end |
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println("e(i) * e(j) are orthonormal for i, j ϵ [0, 4]: ", allorthonormal) |
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a, b, c = randommultivector(), randommultivector(), randommultivector() |
a, b, c = randommultivector(), randommultivector(), randommultivector() |
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x = randomvector() |
x = randomvector() |
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@show isreal(x * x) |
@show isreal(x * x) |
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end |
end |
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testcliffordvector() |
testcliffordvector() |
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</lang>{{out}} |
</lang>{{out}} |
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<pre> |
<pre> |
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e(i) * e(j) are orthonormal for i, j ϵ [0, 4]: true |
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(a * b) * c ≈ a * (b * c) = true |
(a * b) * c ≈ a * (b * c) = true |
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a * (b + c) ≈ a * b + a * c = true |
a * (b + c) ≈ a * b + a * c = true |
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