Ù µ ¼ Ò ÀÐÖ Ô ÓÖ ÚÒ º ÌÙ ºµ¹ º¾µ ÖÙ Ó ÙÒÓÒ ÖÒ ÑÒÑÞÓÒ ÑÒ Â Ù µ µ ÓÚÖ ¾ É º ÇÖ Û ÓÖÑÐÐÝ ÒÖÓÙ ÄÖÒÒ µ Ä Ù Ô µ  ٠µ Ô Ù µ ÛÖ Ô ¾ ÄÖÒ ÑÙÐÔÐÖ ÓÖÖ ÔÓÒÒ Ó ÓÒ
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- Bartholomew Nicholson
- 6 years ago
- Views:
Transcription
1 ÄÚÐ Ë Ó ÓÖ ÎÖÓÒÐ ÈÖÓÐÑ Ò ÔÔÐÓÒ ÃÞÙÙÑ ÁÓ Ö Ï ÓÖÑÙÐ ¹ÓÒÚÓÐÙÓÒ ÒÚÖ ÒÖ Ö ÓÙÒÖÝ Ó Ð ÔÖÓÐÑ Ò Ô ÓÔÑÞÓÒ ÔÖÓÐÑ ÚÖÓÒÐ ÔÖÓÐÑ Û Ö Ô Ó Ð Ó Ñ Ð ÒÖ º Ì ÒÖ ÖÔÖ Ò Ý ÞÖÓ ÐÚÐ Ó ÐÚÐ ÙÒÓÒº Ì ÙÒÒÓÛÒ ÒÖ Ý ÓÖÑÒ ÒÖ Ý ÀÑÐÓÒ¹ ÂÓ ÕÙÓÒ Û ÔÖ¹ Ö ÒÓÖÑÐ ÚÐÓݺ Ì ÒÓÖÑÐ ÚÓÖ ÓÒ Ó Ò ÒÚ Ô ÖÒ Ó Ó ÙÒÓÒÐ Û Ö Ô Ó ÒÖº Ï Ù ÔÖ¹ÓÒÓÒÒ ÒÕÙ Ò Ù ¹ÆÛÓÒ ÑÓ ÓÖ ÐÒ ÒÓÖÑÐ ÚÐÓݺ ÒÙÑÖÐ Ö ÙÐ ÓÖ Ó Ð ÔÖÓÐÑ ÔÖ Òº ÁÒÖÓÙÓÒ ÁÒ ÔÔÖ Û Ù ÔÔÐÓÒ Ó ÐÚÐ ÑÓ ÓÖ ÒÚÖ ÒÖ ÔÖÓÐÑ Ò Ô ÓÔÑÞÓÒº Ì ÒÖ Ò Ô Ö ÖÔÖ Ò Ý ÞÖÓ ÐÚÐ Ó ÐÚÐ ÙÒÓÒº ÄÚÐ ÑÓ ºº ¼ Ò ÖÖÒ ÖÒµ Ö Ò ÜÖÑÐÝ ÚÖ Ð ÓÓÐ ÓÖ ÖÔÖ ÒÒ ÑÓÚÒ ÖÓÒ Ò ÚÖÝ Ó ÔÝ Ð ÔÖÓ ÒÚÓÐÚÒ ÓÛ ÔÒÓÑÒ ÖÝ Ð ÖÓÛ Ò Ô ÖÒ ÓÒ ÑÓÒ ÓÖ º Ì ÒÚÖ ÒÖ ÔÖÓÐÑ Ò ÓÖÑÙÐ ÑÒÑÞÓÒ Ó Ð ¹ ÕÙÖ ¹ ¹ÖÖÓÒ ÓÚÖ Ð Ó ÙÒÒÓÛÒ ÒÖº Ì Ô ÓÔÑÞÓÒ ÒÚÓÐÚ ÑÒ¹ ÑÞÒ ÖÒ ÔÖÓÖÑÒ ÒÜ ÓÚÖ Ð Ó Ñ Ð ÓÙÒÖÝ Ô º ÁÒ ÒÖÐ Û ÓÒ Ö ÑÒÑÞÓÒ Ó ÓÖÑ µ ÑÒ Â Ù µ Ù Ó ÓÒ ÖÒ ¾µ Ù µ ¼ Ò ÓÚÖ Ð É Ó Ñ Ð ÒÖ º ÁÒ ÒÖÐ ÙÒÓÒ Ù ¾ ÀÐÖ Ô ÙÒÓÒ Ó ÒÓ Ý Ù Ù µ Û ÙÒÕÙÐݵ ÓÐÚ ÓÒ ÖÒ ÔÖÑÒ Ó Ñ ÍÒÚÖ Ý Ó ÆÓÖ ÖÓÐÒ Ë ÍÒÚÖ Ý ÓÜ ¾¼ ÊÐ ÆÓÖ ÖÓÐÒ ÑÐÓÑºÒ Ùº
2 Ù µ ¼ Ò ÀÐÖ Ô ÓÖ ÚÒ º ÌÙ ºµ¹ º¾µ ÖÙ Ó ÙÒÓÒ ÖÒ ÑÒÑÞÓÒ ÑÒ Â Ù µ µ ÓÚÖ ¾ É º ÇÖ Û ÓÖÑÐÐÝ ÒÖÓÙ ÄÖÒÒ µ Ä Ù Ô µ  ٠µ Ô Ù µ ÛÖ Ô ¾ ÄÖÒ ÑÙÐÔÐÖ ÓÖÖ ÔÓÒÒ Ó ÓÒ ÖÒ ÓÒ ÕÙÓÒº ÁÒ ÒÖÐ Ò Ð Ó ÔÒ ÓÒ º ÇÙÖ ÔÔÖÓ ÓÒ µ ÒÖ Ò Ô Ö ÖÔÖ Ò Ý ÞÖÓ ÐÚÐ Ó ÐÚÐ ÙÒÓÒ Üµ ºº µ Ü Üµ ¼ µ ÓÖÑÓÒ Ô Ó ÐÚÐ ÐÙÐ ÖÒ Â ¼ Ó Ó ÙÒÓÒÐ Û Ö Ô Ó Ô ºº Ð ÑÐÝ Ó ÙÖÚ ÚÒ Ý µ ܵ Ü Üµ ¾ Ü ¾ ¼ Ò Ù µ ¼ Ò Ù µ ¼ Ò Ô ÖÒ Â ¼ ÚÒ Ý µ  ¼ µ  ٠µ ÐÑ ¼  ٠µ  ٠µ Ò ÖÓÒ Üµ ÛÖ ÓÙÛÖ ÒÓÖÑÐ Ò µ ÐÚÐ ÙÒÓÒ ÚÓÐÚ Ò Ñ Ý ÓÖÖ ÔÓÒÒ ÀÑÐÓÒ¹ÂÓ ÕÙÓÒ ¼ µ ܵ Πܵ Ö Üµ ¼ ÛÖ Î Üµ Ò ÜÒ ÓÒ Ó Â ¼ ܵ ÖÓÑ ÒÓ Ê º Ì ÑÓÓÒ Ó ÐÚй ÙÒÓÒ ÓÚÖÒ Ý µ Πܵ µ Ö ¼ ÛÖ Î Üµ ÚÐÓÝ Ó ÐÚÐ ÙÖÚ Ò Ò Ö ÜµÖ Üµ ÖÚ ºµº Ì ÒÓÖÑÐ ÓÖÑÓÒ ÚÐÓÝ Î Ò ºµ Ò Ð ÆÛÓÒ Ô ÙÓ¹ÆÛÓÒµ ÖÓÒ Ó Ó ÙÒÓÒÐ Â Ù µ µ ÓÖ Ù ¹ÆÛÓÒ ÖÓÒ Ò Ð ÕÙÖ Ó ÓÒ Ò ÑÔÐÓÝ Ò ÒÖÐ ÓÔÑÞÓÒ ÔÖÓÐÑ Ò Û Ù Ð Ò ËÓÒ º ÁÒ ËÓÒ ¾ Û ÒÖÓÙ ÑÓÚ ÜÑÔÐ ÒÐÙÒ ¹ÓÒÚÓÐÙÓÒ ÔÖÓÐÑ Ò ÖÙÙÖÐ ÓÔÑÞÓÒ ÛÐÐ Ö ÓÙÒÖÝ Ò Ó Ð ÔÖÓÐÑ º ÁÒ ËÓÒ Û Ù Ô ÖÒ Ó Ó ÙÒÓÒ ÓÒ ÓÒ ÕÙÓÒ ÑÓº ÁÒ ËÓÒ Û Ù ÔÖ¹ÓÒÓÒÒ ÒÕÙ Ò Ù ¹ÆÛÓÒ ÙÔº ÁÒ ËÓÒ Û Ù ÒÙÑÖÐ Ö ÙÐ ÓÖ Ó Ð ÔÖÓÐѺ ¾
3 ÁÒ ÓÑ Ó ÜÑÔÐ Ù Ò ËÓÒ ¾ Ô ÖÒ ÒÚÓÐÚ ÒÓÖÑÐ ÖÚ¹ Ú Ó ÓÐÙÓÒ ÛÐÐ ÓÒ ÚÖÐ ÐÓÒ ÒÖ º ÓÒ ÕÙÒ Ò ÓÖÖ Ó ÙÖÒ ÒÙÑÖÐÐÝ ÙÖ Ô ÖÒ ÒÓÖÑÐ ÖÚÚ ÐÓÒ ÒÖ Ó ÐÙÐ Û ÙÖݺ ÁÒ ÓÒ ÛÓÖ Û º Ä ºº µ Û ÚÐÓÔ ÓÒ ÓÖÖ ÙÖ ÒÙÑÖÐ ÖÞÓÒ ÓÒ Ó¹ÐÐ ÑÑÖ ÒÖ ÑÓ Ò Ù Ò ÓÙÖ ÒÙÑÖÐ ÑÔÐÑÒÓÒº ÌÖ Ò ÒÖ Ò Ö Ö Ò ÔÔÐÓÒ Ó ÐÚÐ ÑÓ ÓÖ ÒÚÖ Ò ÓÔÑÞÓÒ ÔÖÓÐÑ º ÁÒ ÓÒÜ Ó ÒÚÖ ÔÖÓÐÑ ËÒÓ Ò Ó¹ÛÓÖÖ ÓÒ ÔÔÐ ÐÚÐ ÒÕÙ Ó ÒÚÖ ÖÒ ÔÖÓÐÑ Ò Ò ÔÔÐ Ó ÐÖÐ ÑÔÒ ÓÑÓÖÔÝ ÔÖÓÐÑ º ÁÒ Ò ÐÚй ÕÙÓÒ ÔÔÖÓ Ù ÓÖ ÖÙÙÖÐ ÓÔÑÞÓÒ ÔÖÓÐÑ º ¾ ÓÚ ÜÑÔÐ ÁÒ ÓÒ Û Ù ÓÑ ÜÑÔÐ ÑÓÚ ÓÙÖ Ùݺ ¾º ¹ÓÒÚÓÐÙÓÒ ÁÒÚÖ ÖÒ ÔÖÓÐÑ Ò ÓÖÑÙÐ Þ Üµ Ã Ü Ýµ ٠ݵ Ý ÆÓ ¼ ÛÖ Þ Üµ Ò Ù Üµ ÖÔÖ Ò ÖÙ Ñ ÙÖÑÒ Ò Ñ Ò ÓÒ Ò ÓÔÒ ÓÙÒ ÓÑÒ ¼ Ò Ã ÝÑÑÖ ÔÓ Ú ÖÒ ÖÒк Ï ÙÑ Ñ Ù ÒÖÝ ºº Ñ Ù ÖÔÖ Ò Ý Ù Üµ Ü ¾ ¼ Ü ¾ Ï ÓÖÑÙÐ ÒÚÖ ÖÒ ÔÖÓÐÑ ÖÓÒ ÖÙÒ Ñ Ù ÖÓÑ Ó ÖÚÓÒ Þ ÚÖÓÒÐ ÔÖÓÐÑ ÑÒ Â µ ¾ Ã Ü ÝµÙ Ýµ Ý Þ Üµ ¾ Ü ¼ ¼ ¼ Ý ÓÖÑÙÐ ºµ Ò ÓÛÒ Â µ µ Ã Ü ÝµÙ Ýµ Ý Þ Üµµ Ü µ Ü ¼ µ ÌÙ ÑÜÑÙÑ Ò ÓÖÑÓÒ ÖÓÒ Ó Â Î Üµ Ã Ü ÝµÙ Ýµ Ý Þ Üµµ Ü µ Ü ¼ ¼
4 Ì ÚÐÙÓÒ Ó Î Üµ Ò ÔÖÓÖÑ ÆÒÐÝ ºº Ð Ó ÓÒ Ó ÙÑÑÓÒ Ó ÖÒÐ ÓÚÖ ÓÖ ÖÖÓÖ Üµ Ã Ü Ýµ Ý Þ Üµ Ò Ò Û ÙÑ Ó ÖÖÓÖ ¾ º ¾º¾ ¼ ܵ Ü µ Ü ÐÖÐ ÁÑÔÒ ÌÓÑÓÖÔÝ Ö Û Ö Ò ÒÚÖ ÒÖ ÔÖÓÐÑ ÓÖ ÔÖÓÐÑ ÑÓÚ Ý ÐÖÐ ÑÔÒ ÓÑÓÖÔݺ Ä Üµ ¼ Ü ¾ Ê ¾ ÒÓ ÐÚÐ ÙÒÓÒº Á Ò ÑÐÝ Ó ÒÖ Ü ¾ Ê ¾ ܵ ¼ Ò ÓÑÒ Ü ¾ ܵ ¼ Ü ¾ ܵ ¼ Ï ÓÒ Ö ÓÐÐÓÛÒ ÒÖ ÔÖÓÐѺ Ä ¼ µ ¾ º Ì ÔÓÒÐ ÙÒÓÒ Ù ¾ À ¼ µ ¾µ Ú Üµ Ö Ù µ ¼ Û ÓÙÒÖÝ ÓÒÓÒ Ù ÓÒ ÛÖ ¼ ÓÙÒÖÝ Ó ¼ º Ì ÓÒÙÚÝ ÔÛ ÓÒ Ò Ò ÚÒ Ý Ü ¾ ¾¾µ ܵ Ü ¾ Ì ÓÑÒ ÖÔÖ Ò ÒÓÑÓÒÝ Ó ÓÒÙÒ ÑÙѺ Ì Ò Û Ú ÓÑÓÒÓÙ ÓÒÙÓÒ ÑÙѺ Ï ÙÑ Ò ÙÒÓÒ Ó ÑÔÐÝ ÓÒÒ ÓÔÒ Ò Ò ÙÒÓÒ Ó ¾ ÐÓ ÙÖÚ Ò Ò ÖÔÖ Ò ÒÖ ÛÒ ÛÓ ÓÔÒ ÓÑÒ Ò º Ä ÖÓÒ Ó Ó ÖÚÓÒ Ò Ý Ü ¾ ¼ Ü ¼ µ ¼¾
5 Ò Û Ó ÖÚ ÔÓÒÐ ÙÒÓÒ Ù ÓÒ º Ì Ò ÓÒ Ö Ó ÓÒ ÓÖ ÜÑÔÐ ÖÓÑ ÓÙÒÖÝ Ñ ÙÖÑÒ Ý ÒÙÑÖÐ ÜÒ ÓÒ ÒÓ ÒÖÓÖ Ó ¼ º Ï ÓÒ Ö ÒÚÖ ÔÖÓÐÑ Ó ÒÝÒ ÙÒÒÓÛÒ ÒÖ ÓÖÑ Ó Ö¹ ÚÓÒ Þ Ó Ù º ÚÒ ÒÖ Ð Ù µ ¾ À ¼ µê ÒÓ ÓÐÙÓÒ Ó ÓÙÒÖÝ ÚÐÙ ÔÖÓÐÑ ºµº Ï ÓÖÑÙÐ Ð ÕÙÖ ÔÖÓÐÑ ¾ µ ÑÒ Â µ ¾ Ù µ Ù¾ Ü ÓÚÖ ¾ É ÛÖ É Ò Ñ Ð Ð Ó ÒÖ º Ì ÓÒ ÖÑ ÖÔÖ Ò ÔÖÑÖ ÖÙÐÖÞÓÒ Ò ¼ ÌÒÓÚ ÖÙÖÐÞÓÒ ÔÖÑÖº Á Û ÙÑ Ò ÓÒ ÓÒÐÝ Ó ÓÒ ÓÒÒ ÓÑÔÓÒÒ Ò ÓÙÒÖÝ ÚÐÙ ÚÐÙ ÔÖÓÐÑ ºµ ÖÙ ÒÓ ¾µ Ù ¼ Ò Ü ¾ Û ÓÙÒÖÝ ÓÒÓÒ ¾º ËÔ ÇÔÑÞÓÒ Ù ¼ ÓÒ Ò Ù ÓÒ ÆÜ Û Ö Ô ÓÔÑÞÓÒ ÔÖÓÐÑ Ö Ò Ò ÑÒ ÔÒ Ó ÐÕÙ ÑÐ º ¾µ ÑÒ Â µ ÖÙ ¾ Ü ÓÚÖ Ù Ó ¾µ Ù Ù ¼ ÓÒ Ò ¾µ ÚÓÐ µ Î ÛÖ ÑÓÓ ÙÒÓÒ Û ÓÑÔ ÙÔÔÓÖ ÖÒ ÖÙÓÒ Ó ÐÖÐ ÙÖÖÒº ÁÒ Û ÓÙÒÖÝ Ó ÑÔÐÝ ÓÒÒ ÓÑÒ Ò ÓÐÙÓÒ Ù µ ¾ À ¼ µ Ó ¾ºµ ÙÒÓÒ Ó ÓÙÒÖÝ Ô º ¾º Ö ÓÙÒÖÝ ÈÖÓÐÑ Ï ÓÒ Ö Ð¹«ÖÐÐ ÔÖÓÐÑ ºº ÔÖÓÐÑ Ó ÒÒ Ö ÓÙÒÖÝ Ù ¾µ Ù ¼ Ù Ò Ò ¼ Ù ¼ Ò Ù
6 ÛÖ ÓÒ ÙÒÓÒ Ó ÓÔÒ Ò ÐÓ ¼ Ò Ò ÓÙÒÖÝ ¼ Ò Ö ÒÓÛÒº Á ÒÓÛÒ ÓÐÙÓÒ Ó ¾ºµ ÖÐ ÔÓÒ Ó ÓÐÐÓÛÒ ÒÖÝ ¾µ Ù µ ¾ ÖÙ ¾ ¾ µ Ü Ù Ó ¾¼µ Ù ¼ Ò Ù ÓÒ ¼ Ò Ù ¼ ÓÒ ÁÒ ÛÐÐ ÓÛÒ Ù µ µ ¼ ¾ ÖÙ¾ ¾ µ µ Ò Ù Ò ÖÝ ÓÔÑÐÝ ÚÒ Ý ¾º Ç Ð ÈÖÓÐÑ Ù ¾ ¾ ¼ ÓÒ Ï ÓÒ Ö Ó Ð ÔÖÓÐÑ ºº Ò ÖÖÒ ÖÒµ ¾µ ÑÒ ¼ ¾ ÖÙ¾ ٠ܵ ܵµ Ü Ù Ó Ù Üµ ܵ ºº Ò ÓÚÖ Ù ¾ À ¼ ¼ µº Ì Ò ÖÝ Ò ÙÆÒ ÓÔÑÐÝ ÓÒÓÒ ÚÒ Ý Ù ÑÜ ¼ Ù µµ ÛÖ ¼ Ò Ä ¾ µ ÄÖÒ ÑÙÐÔÐÖº Ä Ü ¾ ¼ ٠ܵ ܵº ÌÒ Üµ ¼ Ò Ò Ù Ù Ò º Ü ¾ ¼ ٠ܵ ܵ ÓÒ ÖÓÒ Ò Û Ð ÒÖº Á ¾ Ä ¾ ¼ µ Ò ÑÜ ¼ µ ¾ Ä ¾ ¼ µ Ò Ò ÓÛÒ ºº µ Ù ¾ À ¾ Ù µ ¼ µº ÌÙ ¼ Ò Ù º Á Ö ÓÙÒÖÝ ÔÖÓÐѺ Ï ÒÓÛ ÓÖÑÙÐ ÚÖÓÒÐ ÔÖÓÐÑ ¾¾µ ÑÒ Ö Ù µ ¾ Ü Ù Ó ¾ µ Ù Ò Ù
7 ËÔ ÖÒ Ò ÓÒ ÕÙÓÒ ÁÒ ÓÒ Û Ù Ô ÖÚÚ Ó Ó ÙÒÓÒÐ Â µ Û Ö Ô Ó Ô º Ä ¾ É Ü Ò ÓÖ ÙÆÒÐÝ ÑÐÐ Ð µ Ñ Ó ÓÒ Ý ÑÔÔÒ Ê ¾ Ê ¾ Ò µ Ü Ü ¾ µ Ü Ü ¾ µ Ü Ü ¾ µ ÓÖ ³ ¾ À µ Ò ³ µ ÑÖÐ ÖÚÚ Ó ³ ÓÖ Ð ¾ À µµ ¾ ÚÒ Ý ¾µ ³ ܵ ÐÑ ¼ ³ Ü µ ³ ܵ ÓÖ Ü ¾ Á ³ ÖÙÐÖ ÜÒ ÓÒ Ó ÒÓÖÓÓ Ó Ò µ ³ ¼ ܵ ÐÑ ¼ ³ ܵ ³ ܵ ³ ܵ ܵ Ö³ ܵ Ü ¾ ÐÐ Ô ÖÚÚ Ó ³º Ì ÒÓÓÒ Ö ÒÖ Ò ÓÖÝ Ó Ô ÓÔÑÞÓÒ ÓÖ ÜÑÔÐ Ò Ò ÖÖÒ ÖÒº ÆÓ µ ³ Ü ¼ ³ ³ Ú Ü ³ ¼ Ú ³µ Ü ÙÑ Ô ÖÚÚ Ù ¼ Ó Ù Ü º Á µ  ٠µ µ Ò µ ¼ ¼ Ùµ Ù ¼ ÐÑ ¼ ÓÖ ÑÒ ÔÒ ÔÖÓÐÑ ¾ºµß ¾ºµ Û Ú Ù ¼ ¼ Ò Ù µ Ù µ Ù ¼ ÖÙ ¼ ÌÙ µ Ò ÖÙ ¾ Ü ¼ ¾ ÖÙ ¼ ÖÙ Ü ÖÙ ¼ ÖÙ Ü ÖÙ ¾ µ Ù Ù ¼ Ü ¼ ÖÙ ¾ µ
8 ÓÖ Ö ÓÙÒÖÝ ÔÖÓÐÑ ¾º¼µß ¾ºµ Ù ¼ ¼ Ò Ù ¼ ÖÙ ¼ Ù ¼ ¼ ¼ ÌÙ µ ¾ ÖÙ ¾ ¾ µ Ü ¼ ÖÙ ¼ ÖÙ Ü ¾ Ù ¾ ¾ µ µ ¾ ÖÙ¾ ¾ µ µ Ò ÖÙ ¼ ÖÙ Ü ÓÖ Ó Ð ÔÖÓÐÑ ¾º¾µß ¾º µ Ù ¼ Ù Ü Ù Ù¼ Ù ¼ ¼ Ò Ù ¾ µ Ù ¼ Ö Ù µ ¼ ÌÙ µ Ö Ù µ ¾ Ü ¼ ¾ Ö Ù µ ÖÙ ¼ Ü Ö Ù µ ¾ µ Ö Ù µ ¾ µ µ Ù µ ¾ µ Ò Ö Ù µ ÖÙ Ü ¼ ÆÓ Ô ÖÚÚ Ù ¼ ÓÒÐÝ Ù Ó ÖÖÝ ÓÙ Ò ÖÙÐ Ò ÓÚ Ù Ô ÖÚÚ Ó Ó ÙÒÓÒÐ ÒÓ ÜÔÖ Ò ÖÑ Ó Ù ¼ º ÁÒ ÔÓ Ð Ó
9 ÚÐÙ Ô ÖÚÚ Ó Ó ÙÓÒÐ ÖÐÝ Ý ÓÒ ÕÙÓÒ ÑÓº Ï ÔÖ Ò ÖÙÑÒ ÓÖ ÔÖÓÐÑ ¾ºµß ¾º µ Ò Û ÓÐÐÓÛ Ò ÛÐÐ ÓÛÒ Î Üµ µ ÖÙ ÖÔ µ ÛÖ Ù Ô ¾ À ¼ µê Ý ÖÙ Ö µ ¼ ¼ ÓÖ ÐÐ ¾ À ¼ µê Ò ÖÔ Öµ ¼ Ù Þµ µ ¼ ¼ ÓÖ ÐÐ ¾ À µêº ÌÓÖÑ º Ì Ô ÖÒ Ó Â µ ¾ Ù Þ ¾ Ü ¼ ÚÒ Ý µ  ¼ µ µ ÖÙ ÖÔ µ ÛÖ Ô ¾ À ¼ µê µ ÖÔ Öµ ¼ Ù Þµ µ ¼ ¼ ÓÖ ÐÐ ¾ À ¼ µêº ÈÖÓÓ Ö ÒÓ Ö Ù Ùµ Öµ ¼ µ ÖÙ Öµ ¼ ÓÖ ¾ À ¼ µêº ËÒ Ù Ù Ò Ö Ù Ùµ µ ÖÙ ¾ ¾ Ù Ùµ Ò Ö Ü Ù ÕÙÒ ÒÓ Ý Ñµ Ù Ö ÓÒÚÖ ÛÐÝ Ó Ò À ¼ µê ¼ º ËÒ Ö Öµ ¼ ¾ µöù Öµ ¼ Ù ÓÖ ¾ ¼ µ ÐÒ ¼ Û ÓÒ Ö Ö ¼ Ò Ù ¼º ËÒ À ¼ µ ÓÑÔÐÝ Ñ ÒÓ Ä ¾ ¼ µ Ù ÐÑ ¼ ٠٠ľ ¼ µ ¾ ¼
10 ÆÓ ¼µ  ¼ Ù µ  ¼ Ùµ Ù Þ Ù Ùµ ¾ Ù Ù ¾ Ü Ò µ Ù Þµ Ù Ùµ Ö Ù Ùµ ÖÔµ ¼ µ ÖÙ ÖÔµ ¼ ÛÖ Û Ù ÖÙ ÖÔµ ¼ ÖÙ ÖÔµ ¼ º Ï ÖÔÖ Ò ÓÐÙÓÒ Ù Ý ÒйÐÝÖ ÔÓÒР٠ܵ ¾ Ü Ýµ ݵ Ý ¾ ¼ Ü Ýµ ¼ ݵ Ý ÛÖ ÖÒ³ ÖÒÐ ÙÒÓÒ Ü Ýµ ÐÓ Ü Ýµ Ò Ê ¾ µº Ï ÖÑÒ ¼ µ Ó ÓÙÒÖÝ ÓÒÓÒ Ò ÙÜ ÓÒÒÙÝ Ö º ÖÓÑ ÔÓÒÐ ÐÑÒ ÓÖÝ ¾ Û Ú Ù Üµ ¾ Ü Ýµ ݵ Ý Üµ Ü ¾ º ÌÙ ¼ µ Ý ÖÓÐÑ ÒÖÐ ÕÙÓÒ Ó ÓÒ Ò ¾ ܵ ¾ ¾ ¾ ¼ ܵ ¾ ¾ ¼ Ü Ü Ýµ ݵ Ý Ü Ü Ýµ ¼ ݵ ݵ ¼ Ü ¾ Ü Ü Ýµ ݵ Ý ¼ Ü Ü Ýµ ¼ ݵ Ý Üµ Ü ¾ ¼ Ä ¾ ÐÓ ÙÖÚº Ý Ê Þ¹ÖÓÐÑ ÓÖÝ Ö ÙÒÕÙ ÓÐÙÓÒ ¼ µ ¾ ¼«Ô Ó ÀĐÓÐÖ ÓÒÒÙÓÙ ÙÒÓÒ Û ÜÔÓÒÒ ¼ «ÔÖÓÚ ¾ ¼«º Á ÓÐÐÓÛ ÖÓÑ ¾ Ù ÓÒÒÙÓÙ ÖÓ Ò ÔÛ «º ÓÖÓÚÖ Ò ÔÖÓÚ ÖÙ ÖÙ Ò Ü ¾ ÖÙ ÖÙ Ò Ü ¾ ¼º ÌÙ ºµ ÓÐÐÓÛ ÖÓÑ º¼µß ºµº ¾ ¼
11 Ù ¹ÆÛÓÒ ÑÓ Ò ÈÖ¹ÓÒÓÒÒ ÓÒ Ö ÑÒÑÞÓÒ Ó ÓÖÑ µ ÑÒ Ù µ Þ ¾ ÛÖ Ù µ ¾ ÓÐÙÓÒ Ó ÕÙÐÝ ÓÒ ÖÒ Ù µ µ ¼ Ò ÓÙÒ ÐÒÖ ÓÔÖÓÖ ÖÓÑ ÒÓ ÀÐÖ Ô º ÙÑ Ô ÖÚÚ Ù ¼ Ó Ù Üµ Ü º Ò ÂÓÒ Ú ¾ Ä ¾ µ Ó Ù µ Ý Ì Ù ¹ÆÛÓÒ Ô ÚÒ Ý Ú Ù ¼ ¾µ ÑÒ Ú Ù Þ ¾ ÓÚÖ Ú ¾ É ÛÖ É Ò Ñ Ð Ð Ó ÒÓÖÑÐ ÓÖÑÓÒ Úº ÁÒ ÔÔÐÓÒ Ö ÓÑÔ ÓÔÖÓÖ ÓÖ ÒÓ ÒÚ Ò Ù Ò ÐÝ ÒÙÐÖº ÁÒ ÓÖÖ Ó Ð Û Ð Ó Ò ÚÝ Û Ö ÔÖÑÖÞ ÒÓÖÑÐ ÓÖÑÓÒ Ú ÓÖ ÓÒ Ö ÖÙÐÖÞ ÔÖÓÐÑ µ ÑÒ Ú Ù Þ ¾ Ú ¾ É ÛÖ Ú É ÖÙÐÖÞÓÒ Ñ¹ÒÓÖÑ ÓÒ ÙÒÓÒ ÓÒ º º ÈÖ¹ÓÒÓÒÒ Á ÓÙÐ ÒÓ Ô ÖÒ Ö ÚÐÙ ÙÒÖ ÖÙÐÖ Ð Ó ÒÖ Ò Ù Ó ÓÖÑÓÒ ÚÓÖ º Ù Ò Ò ÒÖÐ Ô ÖÒ ÖÙÓÒ Ò Ò ÖÝ Ó ÔÖÓÒÓÒ Ý Ö¹ÒÓÖÑÒ Ò ÓÒÒÙÓÙ Ó ÖÒ ÑÓ ÓÒÚÖ º Ò Û Ù Ö¹ÒÓÖÑÒ ÓÒ Ô À Ò Ó Ó ÙÒÓÒк Ô Ô À Ò Ù ÙÐÐÝ ÒÓ ÓÖÚ Ò ÒÓÖÑ ÓÖ Û «ÖÒÐÝ ÓÐ Ó Ò ÒÓÖÑ Ù Ö ÖÑÒ Ò Ò ÒÓÖÑ Ôº ÁÒ ÒÖÐ Ô À Ò ÒÓ ÝÑÑÖ Ò Òº ÌÙ Û ÜÖ ÒÓÒÒÚ ÝÑÑÖ ÔÓÖÓÒ Ó À Ò Ý ÓÑÒ Ò Ò ÖÑ º Ï ÜÑÒ ÛÓ Ô º ÁÒ ºµ Ó Ð ÕÙÖ ÔÖÓÐÑ ÖÒÓÖÑÒ ÚÒ Ý ÕÙÖ ÓÖÑ µ Ú ¾ ÀÚ Úµ ÛÖ À ÄÔÐ ÐÖÑ ÓÔÖÓÖº Á ÑÓÚ Ý ÓÐÐÓÛÒ º Ï ÓÒ Ö ÔÖÑÖ ÓÒ ÖÒ È µ
12 ÌÒ Ô ÖÒ Ó È ÚÒ Ý È ¼ µ µ Ò Ô À Ò Ó È ÚÒ Ý È ¼¼ µ Ö Ö µ ÓÖ Ò ÛÖ Ö ÑÒ¹ÙÖÚÙÖ ÂÓÒ Ó ÒÓÖÑÐ ÚÓÖ Ò Ö Ö º ÀÖ µ À µ Ö Ö Ò ÔÖ Ó À Òº ÌÙ ºµß ºµ Ð Ó ÖÙÐÖÞ Ù ¹ÆÛÓÒ ÖÓÒ Î Àµ Ù Þµ ÛÖ Ù Þµ  ¼ µº ÁÒ Ô ÓÔÑÞÓÒ ¾ºµß ¾ºµ Ò ÖÝ ÓÔÑÐÝ ÓÒÓÒ ÚÒ Ý Ä ¼ Ù µ µ ÖÙ ¾ ¼ ÛÖ ¾ Ê ÄÖÒ ÑÙÐÔÐÖ ÓÖÖ ÔÓÒÒ Ó ÚÓÐÙÑ ÓÒ ÖÒ Ò ÄÖÒÒ Ä ÚÒ Ý Ä Ù µ µ ÆÓ ÖÙ ¾ Ü Î µ Ä ¼ µ Ö ÖÙ ¾ ܵ µ µ Ü Ü Î ¼ Ï ÚÐÙ À Ò Ó Ä ÙÑÒ ÚÓÖ Ð ÙÓÒÓÑÓÙ º Ì Ô ÖÒ Ó Û Ö Ô Ó Ò ÖÓÒ Ó Ò Ý ºµ ÚÒ Ý ¼ µ ¾ Ö ÖÙ ¼ ÖÙµ µ Ü Ö ÖÙ ¾ µ µ µ ÛÖ Ù ¼ Ù ¼ ¼ Ò Ù ¼ Ù µ ¼ ÓÒ Á Ù Ò ÓÛÒ Ò ÑÒÑÞÖ ÖÙ ¾ Ä ¼¼ µ ¾ Ë ¾ Áµ µ ¾
13 ÛÖ Ë ÖйӹÆÙÑÒÒ ÓÔÖÓÖ ÖÓÑ À ¾ µ ÒÓ À ¾ µ ºº Ë µ Ú Ú ¼ Ò Ú µ ÓÒ ÌÙ Ô ÙÓ¹ÆÛÓÒ ÖÓÒ ÚÒ Ý Î Ë «Áµ Ä ¼ Ù µ ÓÖ ÓÑ «¼ ºº Î Ý ÓÒ ÛÖ Ý ¾ À µ ÆÙÑÖÐ Ê ÙÐ Ý ¼ Ò «Ý Ý ÖÙ¾ Ì ÐÚÐ ÑÓ Ò ÙÑÑÖÞ ÓÒ Ë Ò ÒÐ ÐÚÐ ÙÒÓÒ ¼ ܵ ÒÐ Ù Ó ÙÒÒÓÛÒ Ô ¼ Ü ¾ ¼ ¼ ܵ ¼º ËÓÐÚ ÕÙÓÒ Ù µ ¼ ÓÖ Ù Ù µ ÛÖ Û Ù Ó Ò ÕÙÒ Ò ¹ Ôµ Ò ÚÐÙ ÒÓÖÑÐ ÓÖÑÓÒ ÚÓÖ Î º ÜÒ ÚÐÓÝ Î Ó ÓÑÔÙÓÒÐ Ù Æ ÛÖ Æ Û Ó Ùº ÍÔ ÐÚÐ ÙÒÓÒ Ý ÓÐÚÒ ÀÑÐÓÒ¹ÂÓ ÕÙÓÒ Î Ö ¼ ¼ ܵ ܵ Ë Ü ¾ ¼ ܵ ¼ Ò Ö¹ÒÓÖÑÐÞ Ò Ò ÙÒÓÒ ÖÓÑ º Ï Ù ÙÒÓÚ¹ÝÔ Ñ º ¾ µ ÓÖ À ÕÙÓÒ ÓÒ Ü Ö Ò Ö Û ÙÒÓÖÑ Ñ Þ Ò Ñ Ô Þ ¼ ÝÒ Ä ÓÒÓÒµ ºº Î Ö ¼ ÛÖ Ö ÚÐÙ Ù Ò ÏÆÇ Ï ÒÐ ÆÓÒ¹Ó ÐÐÓÖݵ¹ Ñ º Ì ÜÒ ÓÒ Ó ÚÐÓÝ Î Ò ÖÖ ÓÙ Ý Ò ÙÔÛÒ Ñ ÐÓÒ ÒÓÖÑÐ ÖÓÒ ÓÖÒ ÖÓÑ ÒÖ Î Ò µöî Ö Ö ¼
14 ʹÒÐÞÓÒ Ò Ò ÙÒÓÒ Ò ÔÖÓÖÑ Ý ÓÐÚÒ ÓÒÐ ÕÙÓÒ Ö Üµ ¼ ÓÒ Ï Ù Ñ¹ÑÖÒ Ñ ÓÒ ÓÑÔÙÓÒÐ Ù ÓÒ Ò µ Ö µ ¼ Ï ÔÖÓÔÓ ÐÓÖÑ ÓÖ Ó Ð ÔÖÓÐÑ ¾ºµß ¾º µº Ï ¼ Ò ÓÒ ¼ ¼ µ ¼ µº Ï Ù ÓÒ ÓÖÖ ÙÖ ÒÙÑÖÐ ÖÞÓÒ Ó ÕÙÓÒ ¾º µ ÓÒ Ö Ò Ö Û ÙÒÓÖÑ Ñ Þ Ü Ý ÓÒ Ò ÑÑÖ ÒÖ ÑÓ º ËÙ Ú ÙÔ Ó ÓÑÔÙ ÒÖ Ö ÓÛÒ Ò º Û ÖÓÒ ÒÙÑÖ ¼ ÓÖ Ò ¼¼º ÁÒ º ¾ ÓÑÔÖ ÓÒ Ó ÓÑÔÙ ÒÖ Û Ò ¼¼ Ò Ò ¾¼¼ ÓÛÒº Ì ÒÙÑÖ Ó Ö ÓÖ Ò ¾¼¼ º Ì ÓÒ ÖÓÒ Ò Ö ÒÐÓ Ý ÒÖ º 1 Fig. 1: Updates of Computed Interface with n= y x ÊÖÒ ÀºÏº Ð Ò Äºº ÐÐ Ü Ò Ò ÖÙÖÐÝ ÓÖ ÑÒÑÙÑ ÔÖÓÐÑ Û Ö ÓÙÒÖÝ Âº ÊÒ ÒÛº º ¾ µ ¼¹º ¾ º ÓÐÓÒ Ò Êº ÃÖ ÁÒÚÖ ÓÙ Ò ÐÖÓÑÒ ËÖÒ ÌÓÖÝ ËÔÖÒÖ¹ÎÖÐ ÆÛ ÓÖ ¾º ̺º Ò Ò Äºº Î Ú ÓÒÓÙÖ Ò ÑÒÓÒ ÑÓ Ù Ò ÓÑÖ È ÓÖ ÑÐ ÑÒ ÍÄ ÊÔº ¼¼¹¾ ¾¼¼¼µº ºÀÒÖÓ Ò ºÈÖÖ ÍÒ ÔÖÓÐÐÑ ÒÚÖ Ò ÓÖÑ ÑÙÜ ÐÕÙ ÊÁÊÇ Óк º Òк ÆÙÑÖº ¾ µ ¹º
15 0.75 Fig. 2: Comparison of Computed Interfaces for n=100 and y x úÁÓ Ò ÃºÃÙÒ Ò ÙÑÒ ÄÖÒÒ ÒÕÙ ÓÖ ÚÖÓÒÐ ÒÕÙÐ ÔÔÐ º ÇÔÑÞÓÒ ¾ ¼µ ¾¾ ¹¾º ú ÁÓ ÃºÃÙÒ Ò ºÄ ÄÚй ÙÒÓÒ ÔÔÖÓ Ó Ò ÒÚÖ ÒÖ ÔÖÓÐÑ ÁÒÚÖ ÈÖÓÐÑ ¾¼¼µ ¾¹¾¾º º ÂÒ Ò º ÈÒ Ï ÆÇ Ñ ÓÖ ÀÑÐÓÒ¹ÂÓ ÕÙ¹ ÓÒ ÍÄ ÊÔÓÖ ¹¾ µº ºÄ Ò ÃºÁÓ ÜÑÙÑ ÔÖÒÔÐ ÔÖ ÖÚÒ Ñ ÓÖ ÒÖ ÔÖÓ¹ ÐÑ Û ÓÒÒÙÓÙ ÓÆÒ ËÁ º ˺ ˺ ÓÑÔÙº ¾ ¾¼¼µ ¹ º º ÄÑÒ º Ä ÐÖ Ò º ËÒÓ Ñ ÊÓÒ ÖÙÓÒ Ó ¾¹ ÒÖÝ Ó Ð Ý ÓÒÖÓÐÐ ÚÓÐÙÓÒ Ó ÐÚÐ ÁÒÚÖ ÔÖÓÐÑ µ ¹¼º ¼ ˺ Ç Ö Ò Âºº ËÒ ÖÓÒ ÔÖÓÔÓÒ Û ÙÖÚÙÖ¹ÔÒÒ Ô ÐÓÖÑ ÓÒ ÀÑÐÓÒ¹ÂÓ ÓÖÑÙÐÓÒ Âº ÓÑÔ ÈÝ º µ ¾¹º ˺º Ç Ö Ò º ËÒÓ ÄÚÐ ÑÓ ÓÖ ÓÔÑÞÓÒ ÔÖÓÐÑ ÒÚÓÐÚÒ ÓÑÖÝ Ò ÓÒ ÖÒ Áº ÖÕÙÒ Ó ÛÓ¹Ò Ý ÒÓ¹ ÑÓÒÓÙ ÖÙÑ ÈÖÔÖÒ ¾¼¼¼µº ¾ ºÊÓÙÝ Ò ºÌÓÙÖÒ Ú Ó Ý ÓÐÙÓÒ ÔÔÖÓ Ó Ô¹ÖÓѹ Ò ËÁ ÆÙÑÖº Òк ¾ ¾µ ¹º ººËÒ ÄÚÐ Ë Ó Ò ÖÒ Ó ÑÖ ÈÖ ¾Ò ÓÒ º ººËÒ Ò º ÏÑÒÒ ËÖÙÙÖÐ ÓÙÒÖÝ Ò Ú ÐÚÐ Ò ÑÑÖ ÒÖ ÑÓ Âº ÓÑÔº ÈÝ º ¾¼¼¼µ ¹¾º
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