koshi tengsizligi va uning tadbiqlari

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1665263040.doc 0 ,...., 0 , 0 2 1 ³ ³ ³ n a a a ) 1 ( .... .... 2 1 2 1 n a a a a a a n n n + + + £ × × n a a a = = = .... 2 1 0 ,...., 0 , 0 2 1 ³ ³ ³ n a a a 0 ... 2 1 ³ + + n a a a 0 .... 2 1 = = = = n a a a 0 ... 0 , 0 2 1 > > > n a a a 4 , 3 , 2 = = = n n n 2 = n ) 2 ( 2 2 1 2 1 a a a a + £ × ) 3 ( 0 ) ( 2 1 ³ - a a 2 1 a a = 3 = n …

= n x x x n = + + + .... 2 1 0 ....., 0 , 0 2 1 > > > " n x x x ) 10 ( 1 .... 2 1 £ × × × n x x x 1 ...., , 1 , 1 2 1 = = = n x x x 2 = n k n = 1 + = k n ) 11 ( 1 .... 1 2 1 + = + + + + k x x x k 1 , 1 2 1 ³ £ x x ) 12 ( 1 0 1 , 0 ) 1 )( 1 ( 2 1 2 1 1 2 1 2 2 1 x x x x x x x x x x ³ - + ³ + - - ³ - - 1 4 3 2 1 , ,......, , , 1 …

16 ( ) ( .... ) ( .... ) 1 ( 1 1 2 1 1 1 1 1 2 1 1 + + + + + + + = = + = + + + + = + n n n n n n n n n n n n a g a a a a g a na a a a a a n ). ( ) )( 1 ( 1 1 n n n n g a n g a n r - - - + = + + ) 17 ( ) ( ) 1 ( 1 1 1 + + + + - + = n n n n n n a g n ng a r 1 1 1 , + + + = = n n n n y a x g [ ] . 0 ) .... ( .... ) ( ) …

.... 2 1 2 1 2 1 2 1 n n n n y x y x y x y x y x y x + £ + £ + £ 1 2 1 2 1 ) ... ( 2 1 ) ... ( 2 1 .... 2 2 2 2 1 2 2 2 2 1 2 2 1 1 = + = + + + + + + + £ + + + n n n n y y y x x x y x y x y x 2 2 2 2 1 2 2 2 2 1 2 2 1 1 ... ... ... n n n n b b b a a a b a b a b a + + + × + + + £ + + + 2 2 2 2 1 2 2 2 2 1 2 2 1 1 ... …

) ... ( , ) ... ( , ) ... ( + + + = + + + = + + + = + + + = + + + = + + + = q y p x y x q y p x y x q y p x y x q n p n n n q p q p + £ + £ + £ ..., .... .... ... ... ... ... , , 2 2 2 2 1 1 1 1 1 1 1 ) ... ( 1 ) ... ( 1 ... 2 1 2 1 2 2 1 1 = + = + + + + + + + £ + + + q p y y y q x x x p y x y x y x q n q q p n p p n n ) 34 ( . …

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1665263040.doc 0 ,...., 0 , 0 2 1 ³ ³ ³ n a a a ) 1 ( .... .... 2 1 2 1 n a a a a a a n n n + + + £ × × n a a a = = = .... 2 1 0 ,...., 0 , 0 2 1 ³ ³ ³ n a a a 0 ... 2 1 ³ + + n a a a 0 .... 2 1 = = = = n a a a 0 ... 0 , 0 2 1 > > > n a a a 4 , 3 , 2 = = = n n n 2 = n ) 2 ( 2 2 …

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