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linalg[dotprod] - Vector dot (scalar) product
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Calling Sequence
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dotprod(u, v)
dotprod(u, v, 'orthogonal')
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Parameters
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u, v
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lists of the same length or vectors of the same dimension
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orthogonal
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(optional) assume an orthogonal vector space
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Description
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If called with only two arguments, dotprod computes the vector dot product using the standard definition for a vector space over the complex field: sum u[i]*conjugate(v[i]), as i ranges over the length of u and v.
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If the third argument 'orthogonal' is specified, dotprod will compute the vector dot product using the definition: sum u[i]*v[i], as i ranges over the length of u and v.
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If u and v are real vectors, then the two forms of dotprod are equivalent.
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The command with(linalg,dotprod) allows the use of the abbreviated form of this command.
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