• 2022-06-19
     设[tex=0.857x1.0]N7iCrOsS+NNEUUlnsYCi1g==[/tex]是实内积空间 , [tex=3.857x1.214]/4jmoObkZ43LcjTlXdBtXw==[/tex] 证明: [tex=13.786x1.5]GjGaWTSa4Bdoe4j6jnGF4Tvb0kJ5lqfhLWoEqPpA/aCsfp4qmbRv3+N18eFxTcNwRW8639v87udCgzLdrdUbLaY5XKMJSXu1SYNPJwVEMcg=[/tex](勾股定理) 因为  [tex=0.857x1.0]N7iCrOsS+NNEUUlnsYCi1g==[/tex]是实内积空间,其范数是由内积诱导出来的,所以[tex=8.929x1.5]GNRmqOklaWRJkIyyT5yxVUMbXPW9uV/Rwr7e00REfCh4YSCCZIz0HAMaNeWc7h6v[/tex][tex=12.286x1.357]nMay/NobCVItHBi2ZvG8utTgI+9cg0p3M3Hsm2hbl9UGDsZ+46wPrPICSCpJWkaTP/kNl7QuQ+rVR4NsrdcHxJdUWZrrWnxW/hHvqNJuXa+JjidEIzG5aocEcPzjNB0w[/tex][tex=16.357x1.5]PxzGCKHMI7JE/w/KHdDB1JjqUqu+ZlnOvhSJ+H/OrwAoumyWHxgkW9pS9+ZPpCf8laNOTqPgrFSm6o9LhrhDEyCQJ/ZTgkWi6ZnYJaJekPGOyBrGWg8HAA4ALiaiP8O7[/tex]故[tex=14.071x1.5]GjGaWTSa4Bdoe4j6jnGF4Tvb0kJ5lqfhLWoEqPpA/aCsfp4qmbRv3+N18eFxTcNwrYGsN47Ah4MWJYlkib8kdyVBW9/u9P8r66f6SUjKEbk=[/tex]