Математические уравнения в геофизике. Груздев В.Н. - 28 стр.

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28
ɫɬɨɥɛɰɨɦ ɫɜɨɛɨɞɧɵɯ ɱɥɟɧɨɜ: '
2
=
281
1112
131
= 1(22 – 8) – 3(4 – 1) + 1(16 –
– 11) = 14 – 9 + 5. ɇɚɣɞɟɦ ɨɩɪɟɞɟɥɢɬɟɥɶ '
3
ɦɚɬɪɢɰɵ, ɩɨɥɭɱɟɧɧɨɣ ɢɡ
ɦɚɬɪɢɰɵ Ⱥ ɩɭɬɟɦ ɡɚɦɟɧɵ ɬɪɟɬɶɟɝɨ ɫɬɨɥɛɰɚ ɫɬɨɥɛɰɨɦ ɫɜɨɛɨɞɧɵɯ ɱɥɟɧɨɜ: '
3
=
811
1112
311
= 1(8 – 11) + 1(16 – 11) + 3(2 – 1) = –3 + 5 + 3 = 5. Ɍɨɝɞɚ
ɪɟɲɟɧɢɟ ɫɢɫɬɟɦɵ ɩɨɥɭɱɢɦ ɜ ɜɢɞɟ:
ɯ
1
=
'
'
1
= 20/5 = 4, ɯ
2
=
'
'
2
= 10/5 = 2, ɯ
3
=
'
'
3
= 5/5 = 1.
Ɍɚɛɥɢɰɚ 8
ɇɨɦɟɪ ɜɚɪɢɚɧɬɚ 1 2 3 4 5 6 7 8 9 10 11 12 13
ɚ
11
1 2 1 1 5 1 7 2 1 2 –2 1 1
ɚ
12
–1 –3 1 2 8 2 2 1 1 –3 1 2 –1
ɚ
13
1 4 –2 3 1 1 3 –1 1 –1 0 3 1
ɚ
21
2 3 2 2 3 –2 5 3 3 3 1 2 2
ɚ
22
1 4 3 3 –2 3 –3 4 2 4 –2 3 1
ɚ
23
1 –2 –7 –4 6 –3 2 0 1 3 –1 –1 1
ɚ
31
1 4 5 3 2 3 10 1 1 1 3 3 1
ɚ
32
1 2 2 1 1 –4 –11 0 3 1 4 1 1
ɚ
33
2 3 1 1 –1 5 5 1 –1 1 –2 –4 2
b
1
3 20 6 2 2 8 15 0 22 –6 –6 6 1
b
2
11 –11 16 –5 –7 –5 15 –6 47 –5 5 4 4
b
3
8 9 16 3 –5 10 36 1 18 –2 13 0 4
ɇɨɦɟɪ ɜɚɪɢɚɧɬɚ 14 15 16 17 18 19 20 21 22 23 24 25 26
ɚ
11
1 5 1 7 2 1 2 –2 1 1 2 1 1
ɚ
12
2 8 2 2 1 1 –3 1 2 –1 –3 1 2
ɚ
13
3 1 1 3 –1 1 –1 0 3 1 4 –2 3
ɚ
21
2 3 –2 5 3 3 3 1 2 2 3 2 2
ɚ
22
3 –2 3 –3 4 2 4 –2 3 1 4 3 3
ɚ
23
–4 6 –3 2 0 1 3 –1 –1 1 –2 –7 –4
ɚ
31
3 2 3 10 1 1 1 3 3 1 4 5 3
ɚ
32
1 1 –4 –11 0 3 1 4 1 1 2 2 1
ɚ
33
1 –1 5 5 1 –1 1 –2 –4 2 3 1 1
b
1
6 14 4 12 2 3 –2 –1 3 2 6 0 12
b
2
1 7 –2 4 7 6 10 –2 5 8 10 –4 2
b
3
5 2 4 4 2 3 3 5 4 8 18 16 10
                                      1     3    1
�������� ��������� ������: �2 = 2 11 1 = 1(22 – 8) – 3(4 – 1) + 1(16 –
                                      1     8    2
– 11) = 14 – 9 + 5. ������ ������������ �3 �������, ���������� ��
������� � ����� ������ �������� ������� �������� ��������� ������: �3
  1 �1       3
= 2     1   11 = 1(8 – 11) + 1(16 – 11) + 3(2 – 1) = –3 + 5 + 3 = 5. �����
  1     1    8
������� ������� ������� � ����:
       �1                 �                  �
�1 =      = 20/5 = 4, �2 = 2 = 10/5 = 2, �3 = 3 = 5/5 = 1.
       �                   �                  �
                                                                        ������� 8
����� �������� 1 2            3 4      5        6 7    8    9    10   11 12 13
     �11        1  2           1 1     5        1   7   2    1    2   –2 1 1
     �12       –1 –3           1 2      8        2  2   1    1   –3    1 2 –1
     �13        1  4          –2 3      1        1  3 –1     1   –1    0 3 1
     �21        2  3           2 2      3       –2 5    3    3    3    1 2 2
     �22        1  4           3 3     –2       3 –3 4       2    4   –2 3 1
     �23        1 –2          –7 –4     6       –3 2    0    1    3   –1 –1 1
     �31        1  4           5 3      2        3 10 1      1    1    3 3 1
     �32        1  2           2 1      1       –4 –11 0     3    1    4 1 1
     �33        2  3           1 1     –1        5  5   1   –1    1   –2 –4 2
      b1        3 20           6 2      2        8 15 0     22   –6   –6 6 1
      b2       11 –11         16 –5    –7       –5 15 –6    47   –5    5 4 4
      b3        8  9          16 3     –5       10 36 1     18   –2   13 0 4

����� �������� 14 15 16 17 18 19 20 21 22 23 24 25 26
     �11        1 5 1    7  2 1 2 –2 1 1 2 1 1
     �12        2 8 2    2 1 1 –3 1 2 –1 –3 1 2
     �13        3 1 1    3 –1 1 –1 0 3 1 4 –2 3
     �21        2 3 –2 5    3 3 3 1 2 2 3 2 2
     �22        3 –2 3 –3 4 2 4 –2 3 1 4 3 3
     �23       –4 6 –3 2    0 1 3 –1 –1 1 –2 –7 –4
     �31        3 2 3 10 1 1 1 3 3 1 4 5 3
     �32        1 1 –4 –11 0 3 1 4 1 1 2 2 1
     �33        1 –1 5   5  1 –1 1 –2 –4 2 3 1 1
      b1        6 14 4 12 2 3 –2 –1 3 2 6 0 12
      b2        1 7 –2 4    7 6 10 –2 5 8 10 –4 2
      b3        5 2 4    4 2 3 3 5 4 8 18 16 10



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