A bijective proof of Borchardt's identity (Q1883663)
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scientific article; zbMATH DE number 2107490
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A bijective proof of Borchardt's identity |
scientific article; zbMATH DE number 2107490 |
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A bijective proof of Borchardt's identity (English)
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13 October 2004
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Summary: We prove Borchardt's identity \[ \text{det}\Biggl({1\over x_i- y_j}\Biggr)\text{per}\Biggl({1\over x_i- y_j}\Biggr)= \text{det}\Biggl({1\over (x_i- y_j)^2}\Biggr) \] by means of sign-reversing involutions.
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Borchardt's identity
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determinant
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permanent
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sign-reversing involution
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alternating sign matrix
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