Cauchy Determinant

$a\_\{ij\}=\{1\backslash over\; \{(x\_i+y\_j)\}\}$ for $1\; \backslash le\; i,j\; \backslash le\; n.\backslash ,$

$x\_i+y\_j\; \backslash ne\; 0\backslash ;\backslash ;\; \backslash forall\backslash ;\; i,j.\backslash ,$

$\backslash mbox\{det\; \}\; \backslash mbox\{CM\}=.\backslash ,$

Example

x_i = y_i = i − ½.

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