Ͳ
. .
V VI 7(8).05060101
2013
519.24.001
:
. .-. , . . . ( . . )
. . , . . . (IJ)
[]: / . . . ; . . - . . . . . . .: - . . - . . . . . , 2013, 20 .
. , .
. 9. .: 3 .
Ó | . ., , 2013 |
1. ί
, , .
, , [1]. ϳ [2]. , Exel, MathCAD, MathLab, STATISTICA . , .
1.1.
, xi, i= 1,, n, :
1) ;
, [ z ] z;
2) : k , , , , .
. , .
|
|
1.2.
ٳ
, (1.1)
;
.
[2]
(1.2)
, ;
, (. .1); .
1
. 1.1. . :
1) ;
2) (1.1);
3) .
1.1
1
30; 41; 51; 61; 72; 81; 95; 55; 64; 53; 45; 48; 74; 62; 62; 72; 72; 74; 88; 99; 86; 75; 78; 63; 64; 56; 58; 65; 76; 66; 78; 67; 59; 68; 69 | ||
400; 511; 602; 781; 812; 915; 682; 784; 533; 631; 622; 710; 825; 999; 544; 623; 745; 736; 668; 665; 555; 638; 744; 687; 655; 658; 576: 648: 777; 586: 642; 783; 659; 792 | ||
40,5; 51,4; 68,1; 72,4; 81,2; 95,3; 100,6; 43,5; 45,6: 52,2: 59,1: 71,4: 74,6; 52,2; 63,4; 76,3; 84,3; 87,6; 88,2; 53,3; 65,5; 76,4; 77,2; 77,1; 79,3; 66,2; 66,9; 66,6; 66,3; 77,8; 67,1; 67,3: 68,1; 68,6; 68,3; 54,2; 65,7; 78,3; 68,3; 69,4 | ||
3,12; 4,51; 5,21; 6,31; 7,21; 8,01; 9,51; 3,52; 4,42; 5,31; 4,51; 4,82; 5,42; 6,21; 6,22; 7,25; 7,22, 7,24; 8,38; 9,92; 8,62; 7,51; 7,81; 6,31: 6,24; 5,36; 5,82; 6,15; 8,61; 6,62; 7,81; 6,17; 5,91; 6,83; 6,91; 5,75 | ||
4.05; 5.11: 6.02; 7.11; 8.12; 9.15; 6.82; 6.84; 4.33; 5.31; 6.22; 7.10; 8.25; 9.99; 5.44; 6.23; 7.45; 8.36; 6.68; 6.65; 5.55; 6.38; 7.44; 8.87; 6.55; 6.58; 5.76; 6.48; 7.77; 5.86; 6.42; 7.83; 8.59; 7.92; 5.97; 7.68; 8.12; 811; 7.05; 6.54 | ||
30; 41; 51; 61; 72; 81; 95; 35; 44; 53; 45; 48; 54; 62; 62; 72;72; 74; 88; 99; 86; 75; 78; 63; 64; 56; 58; 65; 86; 66; 78; 67; 59; 68; 69; 58; 59; 62; 49; 56 | ||
62; 82; 99; 122; 142; 162; 190; 70; 88; 106; 90; 96;108; 124; 126; 145; 146; 139; 176; 198; 172; 154; 156; 126; 128; 112; 116; 130; 174; 132; 156; 134; 110; 136; 138; 170 | ||
6,24; 9,05; 9,98; 12,61; 14,41; 16,01; 19,01; 7,52; 8,42; 8,31; 8,51; 9,82; 10,82; 12,41; 12,42; 14,25; 7,22; 7,24; 8,38; 9,92; 8,62; 14,51; 14,81; 12,31; 14,24; 5,36; 5,82; 6,15; 8,61; 6,62; 17,81; 15,17; 17,91; 14,83; 6,91; 5,75 | ||
40,5; 51,4; 61,1; 72,4; 81,2; 95,3; 100,6; 43,5; 45,6; 52,2; 49,1; 61,4; 74,6; 52,2; 63,4; 76,3; 84,3; 87,6; 88,2; 53,3; 65,5; 76,4; 77,2; 77,1; 79,3; 66,2; 66,9; 66,6; 66,3; 67,8; 67,1; 67,3; 68,1; 68,6; 68,3; 54,2 | ||
80,5; 91,4; 91,1; 172,4; 91,2; 95,3; 200,6; 83,5; 90,6; 152,2; 79,1; 61.4, 74,6; 52,2; 63,4; 176,3; 84,3; 87,6; 88,2; 153,3; 65,5; 76,4; 77;2; 77.1, 179,3; 66,2; 66,9; 66,6; 66,3; 67,8; 67,1; 67,3; 68,1; 68,6; 68,3; 54,2 | ||
31; 20; 25; 31; 36; 41; 55; 15; 24; 23; 25; 28; 54; 62; 62; 42; 72; 74; 48; 59; 46; 75; 78; 63; 64; 56; 58; 65; 46; 66; 48; 67; 59; 68; 69 | ||
130; 141; 151; 161; 172; 181; 195; 135; 144; 153; 145; 148; 154; 162; 162; 172; 172; 174; 188; 199; 186; 175; 178; 163; 164; 156; 158; 165; 186; 166; 178; 167; 159; 168; 169 | ||
230; 241; 251; 261; 272; 281; 295; 235; 244; 253; 245; 248; 254; 262; 262; 272; 272; 274; 288; 299; 286; 275; 278; 263; 264; 256; 258; 265; 286; 266; 278; 267; 259; 268; 269 | ||
30; 41; 51; 61; 72; 81; 95; 35; 44; 53; 45; 48; 54; 62; 62; 72; 72; 74; 88; 99; 86; 75; 78; 63; 64; 56; 58; 65; 86; 66; 78; 67; 59; 68; 69 | ||
30; 41; 51; 61; 72; 81; 95; 35; 44; 53; 45; 48; 54; 62; 62; 72; 72; 74; 88; 99; 86; 75; 78; 63; 64; 56; 58; 65; 86; 66; 78; 67; 59; 68; 69 |
|
|
, . , . ³, . . , . .
.
. .
.
. .
, .
. (1.3)
.
, .
.
, : . , , , (1.3).
, (1.3) ;
, .
(1.3) , . . :
(1.4)
(1.4)
(1.5)
,
(1.6)
, (1.3) . .
,
, . , , , .
2
1. , , .
2. .
. 1
1,0 | 1,15 | 3,0 | 4,5 | 5,0 | |
2,25 | 2,4 | 2,5 | 2,75 | 3,25 |
. 2
1,0 | 1,15 | 3,0 | 4,5 | 5,0 | |
3,25 | 3,4 | 3,5 | 3,75 | 4,25 |
. 3
1,0 | 1,15 | 3,0 | 4,5 | 5,0 | |
4,25 | 4,4 | 4,5 | 4,75 | 5,25 |
. 4
|
|
1,0 | 1,15 | 3,0 | 4,5 | 5,0 | |
5,25 | 5,4 | 5,5 | 5,75 | 6,25 |
. 5
1,0 | 1,15 | 3,0 | 4,5 | 5,0 | |
6,25 | 6,4 | 6,5 | 6,75 | 7,25 |
. 6
1,0 | 1,15 | 3,0 | 4,5 | 5,0 | |
7,25 | 7,4 | 7,5 | 7,75 | 8,25 |
. 7
1,0 | 1,15 | 3,0 | 4,5 | 5,0 | |
8,25 | 8,4 | 8,5 | 8,75 | 9,25 |
. 8
1,0 | 1,15 | 3,0 | 4,5 | 5,0 | |
9,25 | 9,4 | 9,5 | 9,75 | 10,25 |
. 9
1,0 | 1,15 | 3,0 | 4,5 | 5,0 | |
10,25 | 10,4 | 10,5 | 10,75 | 11,25 |
. 10
1,0 | 1,15 | 3,0 | 4,5 | 5,0 | |
1,25 | 1,4 | 1,5 | 1,75 | 2,25 |
2.
, . , , . ᒺ ,
. (2.1)
. , . . . Գ ( ) . ʳ
, (2.2)
, .
, , . ϳ , .
, , . ³ , . , .
, (2.3)
- ; , [3].