Mathimatika Thetikhs Texnologikhs G

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20 5 , 12 225 6 , 7 1746 1 , 7 140 9 , 17 4511 11 191 9 , 12 10010 5 , 9 180 7 , 10 97 4 5 , , 45 45 . = + = + = + 3 3 72 2 51 2 3 z y z x z y x. : x y z . 123150-3 0 1 2-2-7 -1 1 3123 34 ((((

3 7 1 01 2 0 51 2 3 1 35 - ((((

3 3 7 1 02 1 2 0 51 1 2 3 1. : , -. 1 13 . . B A , , i- j- - . ij : j 2 12 12 2 22 211 1 12 11i j i ij i i j j(((((((((

, ] [ij i s s 1 , j s s 1 . , 2 2 ] [ij j i ij = , , 0 1 111 = = 1 2 112 = = 1 1= 221 = 0 2 222 = = . , . (( 1

100 : , , B A, ( ) - . B A = . , , . * e , - . ..., , , ,33 22 11 - 0, . , : (

3 0 ( 0 2, , ((((

1 0 00 1 00 0 1(((((

1 0 0 00 0 0 00 0 2 00 0 0 6 . 1 14 , | | 3 1 0 2

, , - . , ((((127[ ] 3 - . , , - - , . , ((((

2 0 05 1 00 6 3, (((((

3 0 0 05 1 0 02 3 0 00 1 1 2 , ((((

2 7 50 1 30 0 6, (((((

1 6 0 20 5 1 30 0 0 00 0 0 4 . 1. , , , . - - , ( - ), - , .. . 1 B A 3 : ABA , A , AEA , , , 2 A , , , 1 . 1 15 . (((((((

2 1 1 1 11 3 0 2 11 0 2 0 21 2 0 2 01 1 2 0 3 3 0 2 1 1 0 2 0 2 1 2 0 2 0 1 1 2 0 3 1 1 1 1 1 2 5 5 2. y x, : ( ( + 1 2 1 5) (3x xi) ii) i) H , - (

+=(

5 3 0 16 1 32x x x ((

+ =((

+ 7 24 117 66 2 5 3y xx y x ((

+=((

+5 3 01 216 1 31 ) 5 3 (2x x xx x + == == +5 3 160 1 31 12 ) 5 3 (2x xxx x. 31= x. x . , 31= x . ii) , - - x y. ((

+ =((

+ 7 24 117 66 2 5 3y xx y x = = + = + = 7 72 64 6 211 5 3y xx yx. = = 6 22 2y xy x , y x, . 1 16 1. . : ii) . 2. , , , , -, ] [ij A = , i) . ((((

11 11 4 5 4 3 1217 4 10 3 2 7 1215 6 13 3 3 6 12B E I H N A 24 15 12, , 37 4 4 ] [ij A = . ij , | | j i = . 3. y x, : ii) . 4. x 5. i) ((

+=((

+ 1 3 213 y y xx 20 1 1 2 y x xx ((

=((

+ +y y x xy y x20 12 22((

2 ln ln1 ln 122x xx . ) 2 , 0 [ x e : 1.2 - ((

=( 0 11 1. (

2 2 22x xx x , , , . : 1 17 A / A / 18 16 13 20 18 15 12 9 15 12 10 13 9 11 8 13 10 10 14 12 10 17 16 8 :, ) 8 10 ( ) 16 12 ( ) 17 14 ( ) 10 8 ( ) 10 11 ( ) 13 9 ( ) 12 9 ( ) 13 10 ( ) 15 12 ( ) 15 13 ( ) 18 16 ( ) 20 18 ( + + + / + + + + + + + + + . : : O : ((

=9 10 12A (((

10 12 148 11 913 16 18(((((

=8 16 1710 10 1312 13 1515 18 20B : (((((

=(((((

+ + + + + + + + + + + +18 28 3118 21 2221 23 2728 34 388 10 16 12 17 1410 8 10 11 13 912 9 13 10 15 1215 13 18 16 20 18.

= B A+ , B A + = . : [ A ] ] [ij B = = ij . B A+ . , ] [ij ij B A + = + 1 18 . , - . . . : , ((

=7 55 4 89A ((

= 6 9 01 7B (( 23 2 (( 2 4 63, 3 3 ((((

=((

+((((

= +0 11 1111 13 812 2 94 66 9 03 1 725 4 89 3 2B A ,

((

2 7 5 (

=3 0 1 ( 0 1( 5 1 2 (((

=2 43 2 , -- B A , , , A B B A + = + B A B A + + = + + ) ( ) ( - , A A A = + = + , . - . 0 0 ( 0 0 0((

0 0, (

0 0 0 A - , = + = + A A A ) ( ) ( A A . 1 19 , ((

0 71 6 3 2((

2 0 71 6 3. B A + + ) ( B A + + , B A + + ) ( . , B A , , , - , : )] ( [ )] ( [ ) ( ) ( ] ) [( B A B A B A B A + + + = + + + = + + + = + + + A B B A + + + = + + + = ] ) [( ] ) [( . , B A + + + - . , -, - A ..., , A A ,2 1 A A A + + + 2 1. , . , B A, , B A : ) ( B A B A + = , ((((

=3 60 42 3A ((((

=1 02 31 4B , ((((

=((((

+((((

=(((

((((

= 2 62 73 112 31 43 60 42 31 02 31 430 42 3B A . (

0 6B A , . : B A X A B X = = + : A B X = + , B X A B B = + , B A X = , B A X = , B B A B X + = + , A B X = + . - : 1 20 T 80% 0,8, : . 2 10000180000 110000 160000(( 17 100000 150000

= A , - 20% , . ((

=180000 8 , 0 110000 8 , 0 160000 8 , 0B 170000 8 , 0 100000 8 , 0 150000 8 , 0 136000 80000 120000 0,8 - A 0,8 , A B 8 , 0((

=144000 88000 128000= . , : O ]ij A [ = , . - A A. , ] [ij A = - . , 3 = : I ((

=4 1 21 5 2A (( 4 3 21 31

) 1 ( ) 3 ( ) ( ) 3 ( 4 23 3 (12 3 6. =(( = ) 5 ( ) 3 ( 2 3 1 5 2A (

=3 15 6 B A,