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§á§â§Ö§Ù§Ö§ß§ä§Ñ§è§Ú§ñ §ÝP ¡í 2 091214 v2

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Gulnaz Shakirova
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§­§Ñ§Ò§à§â§Ñ§ä§à§â§ß§Ñ§ñ §â§Ñ§Ò§à§ä§Ñ ¡í 2 §±§°§³§´§²§°§¦§¯§ª§¦ §¬§°§®§¢§ª§¯§¡§¸§ª§°§¯§¯§½§· §³§·§¦§® §¯§¡ §­§°§¤§ª§¹§¦§³§¬§ª§· §¿§­§¦§®§¦§¯§´§¡§· §ª-§¯§¦ §Ú §ª§­§ª-§¯§¦ §®§Ú§ß§Ú§ã§ä§Ö§â§ã§ä§Ó§à §à§Ò§â§Ñ§Ù§à§Ó§Ñ§ß§Ú§ñ §²§à§ã§ã§Ú§Û§ã§Ü§à§Û §¶§Ö§Õ§Ö§â§Ñ§è§Ú§Ú §¬§Ñ§Ù§Ñ§ß§ã§Ü§Ú§Û §Ô§à§ã§å§Õ§Ñ§â§ã§ä§Ó§Ö§ß§ß§í§Û §ä§Ö§ç§ß§Ú§é§Ö§ã§Ü§Ú§Û §å§ß§Ú§Ó§Ö§â§ã§Ú§ä§Ö§ä §Ú§Þ. §¡.§¯.§´§å§á§à§Ý§Ö§Ó§Ñ §¬§Ñ§æ§Ö§Õ§â§Ñ §¬§³
§¸§Ö§Ý§î §â§Ñ§Ò§à§ä§í: §ª§Ù§å§é§Ö§ß§Ú§Ö §Þ§Ö§ä§à§Õ§à§Ó §á§à§ã§ä§â§à§Ö§ß§Ú§ñ §Ü§à§Þ§Ò§Ú§ß§Ñ§è§Ú§à§ß§ß§í§ç §ã§ç§Ö§Þ §ß§Ñ §ï§Ý§Ö§Þ§Ö§ß§ä§Ñ§ç §ª-§¯§¦ §Ú §ª§­§ª-§¯§¦.
§°§Ò§ë§Ú§Û §Ó§Ú§Õ §¬§³ §³§ç§Ö§Þ§Ñ §Ú§Þ§Ö§Ö§ä n §Ó§ç§à§Õ§à§Ó §Ú m §Ó§í§ç§à§Õ§à§Ó §Ú §â§Ö§Ñ§Ý§Ú§Ù§å§ð§ä m §±§¶ §à§ä n §Ñ§â§Ô§å§Þ§Ö§ß§ä§à§Ó: §²§Ú§ã.1. §¬§à§Þ§Ò§Ú§ß§Ñ§è§Ú§à§ß§ß§Ñ§ñ §ã§ç§Ö§Þ§Ñ §¬§³ §ç 1 §ç 2 §ç n y 1 y 2 y n . . . . ) ,..., , ( 2 1 n m m x §ç §ç f y ?
§³§ç§Ö§Þ§Ñ, §â§Ö§Ñ§Ý§Ú§Ù§å§ð§ë§Ñ§ñ §æ§å§ß§Ü§è§Ú§ð §é§Ö§ä§í§â§×§ç §á§Ö§â§Ö§Þ§Ö§ß§ß§í§ç & x 2 x 1 & & x 3 x 4 f =(x 1 x 2 )( x 3 x 4 ) ) )( ( 4 3 2 1 x §ç x x f =
§³§ç§Ö§Þ§Ñ §æ§å§ß§Ü§è§Ú§Ú §Ó §Ò§Ñ§Ù§Ú§ã§Ö §ª-§¯§¦ §á§â§Ú J = 2
§³§ç§Ö§Þ§Ñ §Õ§å§Ò§Ý§Ú§â§à§Ó§Ñ§ß§Ú§ñ §Ó§í§ç§à§Õ§ß§à§Ô§à §ã§Ú§Ô§ß§Ñ§Ý§Ñ
§³§ç§Ö§Þ§Ñ §Õ§å§Ò§Ý§Ú§â§à§Ó§Ñ§ß§Ú§Ö §ï§Ý§Ö§Þ§Ö§ß§ä§Ñ
§±§à§â§ñ§Õ§à§Ü §Ó§í§á§à§Ý§ß§Ö§ß§Ú§ñ §â§Ñ§Ò§à§ä§í §³§à§Õ§Ö§â§Ø§Ñ§ß§Ú§Ö§Þ §â§Ñ§Ò§à§ä§í §ñ§Ó§Ý§ñ§Ö§ä§ã§ñ: §Ñ§ß§Ñ§Ý§Ú§ä§Ú§é§Ö§ã§Ü§Ñ§ñ §Ù§Ñ§á§Ú§ã§î §Ù§Ñ§Õ§Ñ§ß§ß§à§Û §±§¶ 3-§ç §Ñ§â§Ô§å§Þ§Ö§ß§ä§à§Ó §Ó §Ò§å§Ý§Ö§Ó§à§Þ §Ò§Ñ§Ù§Ú§ã§Ö, §á§â§Ö§à§Ò§â§Ñ§Ù§à§Ó§Ñ§ß§Ú§Ö §á§à§Ý§å§é§Ö§ß§ß§à§Ô§à §Ó§í§â§Ñ§Ø§Ö§ß§Ú§ñ §Ó §Ò§Ñ§Ù§Ú§ã §ª-§¯§¦ §Ú §ª§­§ª-§¯§¦, §á§à§ã§ä§â§à§Ö§ß§Ú§Ö §ã§ç§Ö§Þ §ã §Ú§ã§á§à§Ý§î§Ù§à§Ó§Ñ§ß§Ú§Ö§Þ §á§â§à§Ô§â§Ñ§Þ§Þ§í ? §¦§£§¦§®§¡-2? §ß§Ñ §ï§Ý§Ö§Þ§Ö§ß§ä§Ñ§ç §ª-§¯§¦ §Ú §ª§­§ª-§¯§¦ §Ú §Ü§à§ß§ä§â§à§Ý§î §á§â§Ñ§Ó§Ú§Ý§î§ß§à§ã§ä§Ú §Ú§ç §â§Ñ§Ò§à§ä§í.
§±§à§ã§Ý§Ö§Õ§à§Ó§Ñ§ä§Ö§Ý§î§ß§à§ã§ä§î §Ó§í§á§à§Ý§ß§Ö§ß§Ú§ñ §â§Ñ§Ò§à§ä§í: 1. §Ñ§ß§Ñ§Ý§Ú§ä§Ú§é§Ö§ã§Ü§Ñ§ñ §Ù§Ñ§á§Ú§ã§î §Ù§Ñ§Õ§Ñ§ß§ß§à§Û §±§¶ 3-§ç §Ñ§â§Ô§å§Þ§Ö§ß§ä§à§Ó §Ó §Ò§å§Ý§Ö§Ó§à§Þ §Ò§Ñ§Ù§Ú§ã§Ö; 2. §á§â§Ö§à§Ò§â§Ñ§Ù§à§Ó§Ñ§ä§î §Ù§Ñ§Õ§Ñ§ß§ß§å§ð §±§¶ 3-§ç §Ñ§â§Ô§å§Þ§Ö§ß§ä§à§Ó §Ó §Ò§Ñ§Ù§Ú§ã §ª-§¯§¦ §Ú §ª§­§ª-§¯§¦; 3. §ß§Ñ§Ò§â§Ñ§ä§î §ß§Ñ §Ü§à§Þ§á§î§ð§ä§Ö§â§Ö §¬§³ §Ó §Ò§Ñ§Ù§Ú§ã§Ö §ª, §ª§­§ª,§¯§¦, §ª-§¯§¦ §Ú §ª§­§ª-§¯§¦; 4. §á§â§à§Ó§Ö§â§Ú§ä§î §á§â§Ñ§Ó§Ú§Ý§î§ß§à§ã§ä§î §â§Ñ§Ò§à§ä§í §ã§ç§Ö§Þ§í, §Ù§Ñ§Õ§Ñ§Ó§Ñ§ñ §ß§Ñ §Ö§Ö §Ó§ç§à§Õ§Ñ§ç §Ó§ã§Ö§Ó§à§Ù§Þ§à§Ø§ß§í§Ö §ß§Ñ§Ò§à§â§í §Ù§ß§Ñ§é§Ö§ß§Ú§Û §á§Ö§â§Ö§Þ§Ö§ß§ß§í§ç.
C §à§Õ§Ö§â§Ø§Ñ§ß§Ú§Ö §à§ä§é§Ö§ä§Ñ 1. §´§Ñ§Ò§Ý§Ú§è§Ñ §Ú§ã§ä§Ú§ß§ß§à§ã§ä§Ú §±§¶ 3-§ç §Ñ§â§Ô§å§Þ§Ö§ß§ä§à§Ó. 2. §¡§ß§Ñ§Ý§Ú§ä§Ú§é§Ö§ã§Ü§Ñ§ñ §Ù§Ñ§á§Ú§ã§î §Ù§Ñ§Õ§Ñ§ß§ß§à§Û §±§¶ §Ó§ã§Ö§ç 16 §á§Ö§â§Ö§Ü§Ý§ð§é§Ñ§ä§Ö§Ý§î§ß§í§ç §æ§å§ß§Ü§è§Ú§Û 2-§ç §Ñ§â§Ô§å§Þ§Ö§ß§ä§à§Ó. 3. §±§à§ã§ä§â§à§Ö§ß§Ú§Ö §ã§ç§Ö§Þ §ã §Ú§ã§á§à§Ý§î§Ù§à§Ó§Ñ§ß§Ú§Ö§Þ §á§â§à§Ô§â§Ñ§Þ§Þ§í ? §¦§£§¦§®§¡-2? §Ú §Ü§à§ß§ä§â§à§Ý§î §á§â§Ñ§Ó§Ú§Ý§î§ß§à§ã§ä§Ú §Ú§ç §â§Ñ§Ò§à§ä§í.
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§á§â§Ö§Ù§Ö§ß§ä§Ñ§è§Ú§ñ §ÝP ¡í 2 091214 v2

  • 1. §­§Ñ§Ò§à§â§Ñ§ä§à§â§ß§Ñ§ñ §â§Ñ§Ò§à§ä§Ñ ¡í 2 §±§°§³§´§²§°§¦§¯§ª§¦ §¬§°§®§¢§ª§¯§¡§¸§ª§°§¯§¯§½§· §³§·§¦§® §¯§¡ §­§°§¤§ª§¹§¦§³§¬§ª§· §¿§­§¦§®§¦§¯§´§¡§· §ª-§¯§¦ §Ú §ª§­§ª-§¯§¦ §®§Ú§ß§Ú§ã§ä§Ö§â§ã§ä§Ó§à §à§Ò§â§Ñ§Ù§à§Ó§Ñ§ß§Ú§ñ §²§à§ã§ã§Ú§Û§ã§Ü§à§Û §¶§Ö§Õ§Ö§â§Ñ§è§Ú§Ú §¬§Ñ§Ù§Ñ§ß§ã§Ü§Ú§Û §Ô§à§ã§å§Õ§Ñ§â§ã§ä§Ó§Ö§ß§ß§í§Û §ä§Ö§ç§ß§Ú§é§Ö§ã§Ü§Ú§Û §å§ß§Ú§Ó§Ö§â§ã§Ú§ä§Ö§ä §Ú§Þ. §¡.§¯.§´§å§á§à§Ý§Ö§Ó§Ñ §¬§Ñ§æ§Ö§Õ§â§Ñ §¬§³
  • 2. §¸§Ö§Ý§î §â§Ñ§Ò§à§ä§í: §ª§Ù§å§é§Ö§ß§Ú§Ö §Þ§Ö§ä§à§Õ§à§Ó §á§à§ã§ä§â§à§Ö§ß§Ú§ñ §Ü§à§Þ§Ò§Ú§ß§Ñ§è§Ú§à§ß§ß§í§ç §ã§ç§Ö§Þ §ß§Ñ §ï§Ý§Ö§Þ§Ö§ß§ä§Ñ§ç §ª-§¯§¦ §Ú §ª§­§ª-§¯§¦.
  • 3. §°§Ò§ë§Ú§Û §Ó§Ú§Õ §¬§³ §³§ç§Ö§Þ§Ñ §Ú§Þ§Ö§Ö§ä n §Ó§ç§à§Õ§à§Ó §Ú m §Ó§í§ç§à§Õ§à§Ó §Ú §â§Ö§Ñ§Ý§Ú§Ù§å§ð§ä m §±§¶ §à§ä n §Ñ§â§Ô§å§Þ§Ö§ß§ä§à§Ó: §²§Ú§ã.1. §¬§à§Þ§Ò§Ú§ß§Ñ§è§Ú§à§ß§ß§Ñ§ñ §ã§ç§Ö§Þ§Ñ §¬§³ §ç 1 §ç 2 §ç n y 1 y 2 y n . . . . ) ,..., , ( 2 1 n m m x §ç §ç f y ?
  • 4. §³§ç§Ö§Þ§Ñ, §â§Ö§Ñ§Ý§Ú§Ù§å§ð§ë§Ñ§ñ §æ§å§ß§Ü§è§Ú§ð §é§Ö§ä§í§â§×§ç §á§Ö§â§Ö§Þ§Ö§ß§ß§í§ç & x 2 x 1 & & x 3 x 4 f =(x 1 x 2 )( x 3 x 4 ) ) )( ( 4 3 2 1 x §ç x x f =
  • 5. §³§ç§Ö§Þ§Ñ §æ§å§ß§Ü§è§Ú§Ú §Ó §Ò§Ñ§Ù§Ú§ã§Ö §ª-§¯§¦ §á§â§Ú J = 2
  • 8. §±§à§â§ñ§Õ§à§Ü §Ó§í§á§à§Ý§ß§Ö§ß§Ú§ñ §â§Ñ§Ò§à§ä§í §³§à§Õ§Ö§â§Ø§Ñ§ß§Ú§Ö§Þ §â§Ñ§Ò§à§ä§í §ñ§Ó§Ý§ñ§Ö§ä§ã§ñ: §Ñ§ß§Ñ§Ý§Ú§ä§Ú§é§Ö§ã§Ü§Ñ§ñ §Ù§Ñ§á§Ú§ã§î §Ù§Ñ§Õ§Ñ§ß§ß§à§Û §±§¶ 3-§ç §Ñ§â§Ô§å§Þ§Ö§ß§ä§à§Ó §Ó §Ò§å§Ý§Ö§Ó§à§Þ §Ò§Ñ§Ù§Ú§ã§Ö, §á§â§Ö§à§Ò§â§Ñ§Ù§à§Ó§Ñ§ß§Ú§Ö §á§à§Ý§å§é§Ö§ß§ß§à§Ô§à §Ó§í§â§Ñ§Ø§Ö§ß§Ú§ñ §Ó §Ò§Ñ§Ù§Ú§ã §ª-§¯§¦ §Ú §ª§­§ª-§¯§¦, §á§à§ã§ä§â§à§Ö§ß§Ú§Ö §ã§ç§Ö§Þ §ã §Ú§ã§á§à§Ý§î§Ù§à§Ó§Ñ§ß§Ú§Ö§Þ §á§â§à§Ô§â§Ñ§Þ§Þ§í ? §¦§£§¦§®§¡-2? §ß§Ñ §ï§Ý§Ö§Þ§Ö§ß§ä§Ñ§ç §ª-§¯§¦ §Ú §ª§­§ª-§¯§¦ §Ú §Ü§à§ß§ä§â§à§Ý§î §á§â§Ñ§Ó§Ú§Ý§î§ß§à§ã§ä§Ú §Ú§ç §â§Ñ§Ò§à§ä§í.
  • 9. §±§à§ã§Ý§Ö§Õ§à§Ó§Ñ§ä§Ö§Ý§î§ß§à§ã§ä§î §Ó§í§á§à§Ý§ß§Ö§ß§Ú§ñ §â§Ñ§Ò§à§ä§í: 1. §Ñ§ß§Ñ§Ý§Ú§ä§Ú§é§Ö§ã§Ü§Ñ§ñ §Ù§Ñ§á§Ú§ã§î §Ù§Ñ§Õ§Ñ§ß§ß§à§Û §±§¶ 3-§ç §Ñ§â§Ô§å§Þ§Ö§ß§ä§à§Ó §Ó §Ò§å§Ý§Ö§Ó§à§Þ §Ò§Ñ§Ù§Ú§ã§Ö; 2. §á§â§Ö§à§Ò§â§Ñ§Ù§à§Ó§Ñ§ä§î §Ù§Ñ§Õ§Ñ§ß§ß§å§ð §±§¶ 3-§ç §Ñ§â§Ô§å§Þ§Ö§ß§ä§à§Ó §Ó §Ò§Ñ§Ù§Ú§ã §ª-§¯§¦ §Ú §ª§­§ª-§¯§¦; 3. §ß§Ñ§Ò§â§Ñ§ä§î §ß§Ñ §Ü§à§Þ§á§î§ð§ä§Ö§â§Ö §¬§³ §Ó §Ò§Ñ§Ù§Ú§ã§Ö §ª, §ª§­§ª,§¯§¦, §ª-§¯§¦ §Ú §ª§­§ª-§¯§¦; 4. §á§â§à§Ó§Ö§â§Ú§ä§î §á§â§Ñ§Ó§Ú§Ý§î§ß§à§ã§ä§î §â§Ñ§Ò§à§ä§í §ã§ç§Ö§Þ§í, §Ù§Ñ§Õ§Ñ§Ó§Ñ§ñ §ß§Ñ §Ö§Ö §Ó§ç§à§Õ§Ñ§ç §Ó§ã§Ö§Ó§à§Ù§Þ§à§Ø§ß§í§Ö §ß§Ñ§Ò§à§â§í §Ù§ß§Ñ§é§Ö§ß§Ú§Û §á§Ö§â§Ö§Þ§Ö§ß§ß§í§ç.
  • 10. C §à§Õ§Ö§â§Ø§Ñ§ß§Ú§Ö §à§ä§é§Ö§ä§Ñ 1. §´§Ñ§Ò§Ý§Ú§è§Ñ §Ú§ã§ä§Ú§ß§ß§à§ã§ä§Ú §±§¶ 3-§ç §Ñ§â§Ô§å§Þ§Ö§ß§ä§à§Ó. 2. §¡§ß§Ñ§Ý§Ú§ä§Ú§é§Ö§ã§Ü§Ñ§ñ §Ù§Ñ§á§Ú§ã§î §Ù§Ñ§Õ§Ñ§ß§ß§à§Û §±§¶ §Ó§ã§Ö§ç 16 §á§Ö§â§Ö§Ü§Ý§ð§é§Ñ§ä§Ö§Ý§î§ß§í§ç §æ§å§ß§Ü§è§Ú§Û 2-§ç §Ñ§â§Ô§å§Þ§Ö§ß§ä§à§Ó. 3. §±§à§ã§ä§â§à§Ö§ß§Ú§Ö §ã§ç§Ö§Þ §ã §Ú§ã§á§à§Ý§î§Ù§à§Ó§Ñ§ß§Ú§Ö§Þ §á§â§à§Ô§â§Ñ§Þ§Þ§í ? §¦§£§¦§®§¡-2? §Ú §Ü§à§ß§ä§â§à§Ý§î §á§â§Ñ§Ó§Ú§Ý§î§ß§à§ã§ä§Ú §Ú§ç §â§Ñ§Ò§à§ä§í.
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