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Unformatted text preview: SYMMETRY suppose then , but is a metric on so: , so: . If then Hence D is symmetric in its arguments (and this works whether or is used in the definition of ). TRIANGLE INEQUALITY Suppose then . Suppose: , then but is a metric on , so: , for any . So . Hence: . Now suppose: , then , but for all , so: . for any . When so the triangle inequality holds trivialy....
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This note was uploaded on 04/15/2010 for the course INDUSTRIAL ie513 taught by Professor Zeynephuygur during the Spring '10 term at Bilkent University.
 Spring '10
 zeynephuygur

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