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Student[NumericalAnalysis][Distance] - compute the distance between two matrices or vectors
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Calling Sequence
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Distance(A, B, p)
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Parameters
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A
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Matrix or Vector
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B
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Matrix or Vector
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p
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nonnegative, infinity, -infinity, Frobenius, Euclidean; the norm selector
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Description
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The Distance command computes the distance between two matrices or two vectors with respect to a specified p-norm.
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If A and B are both matrices then p must be one of 1, 2, infinity, Frobenius, or Euclidean.
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If A and B are both vectors then p must be one of a non-negative number, infinity, -infinity, Frobenius, or Euclidean.
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A and B must both be either vectors or matrices, not one of each.
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Examples
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![with(Student[NumericalAnalysis])](/support/helpjp/helpview.aspx?si=5004/file05070/math125.png)
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![A := Matrix([[1.432, 5.223, 6.444], [5.325, 7.453, 8.223], [6.432, 8.343, 8.222]])](/support/helpjp/helpview.aspx?si=5004/file05070/math129.png)
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![A := Matrix([[1.432, 5.223, 6.444], [5.325, 7.453, 8.223], [6.432, 8.343, 8.222]])](/support/helpjp/helpview.aspx?si=5004/file05070/math132.png)
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![B := Matrix([[5.224, 9.809, 8.932], [.424, 8.453, 3.532], [2.533, 9.435, .423]])](/support/helpjp/helpview.aspx?si=5004/file05070/math136.png)
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![B := Matrix([[5.224, 9.809, 8.932], [.424, 8.453, 3.532], [2.533, 9.435, .423]])](/support/helpjp/helpview.aspx?si=5004/file05070/math139.png)
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![a := Vector([[2.42, 5.34], [8.78, .42]])](/support/helpjp/helpview.aspx?si=5004/file05070/math164.png)
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](/support/helpjp/helpview.aspx?si=5004/file05070/math167.png)
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![b := Vector([[4.32, 9.32], [6.22, 1.33]])](/support/helpjp/helpview.aspx?si=5004/file05070/math171.png)
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](/support/helpjp/helpview.aspx?si=5004/file05070/math174.png)
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