Оценка точности
а) Вычисление СКО единицы веса
, где n – число измеренных величин
k – число необходимых величин
µ=5.967
б) Вычисление обратной весовой матрицы уравненного вектора измеренных величин
Qβ= QA·Q т.к. Q = E
Qβ - QA
QA = (E – QAT(AQAT)-1A
QA = (E-AT(AAT)-1A
0.452
| -0.292
| -0.160
| 0.114
| -0.128
| 0.014
| -0.008
| -0.078
| 0.085
| 0.160
| 0.086
| -0.246
| -0.292
| 0.464
| -0.171
| -0.091
| 0.125
| -0.033
| -0.021
| 0.095
| -0.075
| 0.171
| -0.243
| 0.072
| -0.160
| -0.171
| 0.331
| -0.023
| 0.004
| 0.019
| 0.028
| -0.018
| -0.011
| -0.331
| 0.157
| 0.174
| 0.114
| -0.091
| -0.023
| 0.263
| -0.061
| -0.202
| 0.246
| 0.004
| -0.249
| 0.023
| 0.034
| -0.057
| -0.128
| 0.125
| 0.004
| -0.061
| 0.320
| -0.258
| 0.033
| -0.248
| 0.215
| -0.004
| -0.053
| 0.057
| 0.014
| -0.033
| 0.019
| -0.202
| -0.258
| 0.460
| -0.278
| 0.244
| 0.034
| -0.019
| 0.019
| 0.000
| -0.008
| -0.021
| 0.028
| 0.246
| 0.033
| -0.278
| 0.276
| -0.037
| -0.238
| -0.028
| 0.016
| 0.012
| -0.078
| 0.095
| -0.018
| 0.004
| -0.248
| 0.244
| -0.037
| 0.298
| -0.260
| 0.018
| -0.046
| 0.028
| 0.085
| -0.075
| -0.011
| -0.249
| 0.215
| 0.034
| -0.238
| -0.260
| 0.499
| 0.011
| 0.030
| -0.040
| 0.160
| 0.171
| -0.331
| 0.023
| -0.004
| -0.019
| -0.028
| 0.018
| 0.011
| 0.331
| -0.157
| -0.174
| 0.086
| -0.243
| 0.157
| 0.034
| -0.053
| 0.019
| 0.016
| -0.046
| 0.030
| -0.157
| 0.145
| 0.012
| -0.246
| 0.072
| 0.174
| -0.057
| 0.057
| 0.000
| 0.012
| 0.028
| -0.040
| -0.174
| 0.012
| 0.161
|
в) вычисление ковариационной матрицы уравненного вектора измеренных величин или СКО уравненного вектора измеренных величин
где - диагональные элементы матрицы Qβ
4.0128
| 4.0627
| 3.433
| 3.063
| 3.3741
| 4.0493
| 3.1339
| 3.2566
| 4.2143
| 3.433
| 2.27
| 2.3978
|
г) Вычисление обратной весовой матрицы функций измеренных величин (дирекционных углов и длин сторон)
Q α,s=FQβFT; где F – матрица частных производных.
| αII-1
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| | αI-1
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| -1
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| | αI-2
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| -1
|
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| -1
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| | αIII-1
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| | αIII-2
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| | α1-2
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| -1
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| | SII-1
| -0.002
| 0.015
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| | SI-1
| -0.003
|
| 0.010
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| F=
| SI-2
| -0.002
|
| 0.008
| 0.002
| 0.012
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| | SIII-1
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| 0.022
|
| 0.007
| | SIII-2
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| -0.014
| -0.029
| 0.029
|
| 0.010
| | S1-2
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| 0.026
|
| -0.011
| 0.011
|
| 0.004
| Q =
0.331
| 0.171
| 0.152
| 0.157
| 0.185
| 0.175
| -0.002
| 0.004
| 0.003
| -0.006
| -0.007
| -0.002
| 0.171
| 0.464
| 0.430
| 0.243
| 0.264
| 0.339
| -0.008
| 0.001
| -0.001
| -0.004
| -0.007
| -0.003
| 0.152
| 0.430
| 0.858
| 0.224
| 0.523
| 0.564
| -0.007
| 0.001
| 0.003
| -0.004
| -0.002
| 0.005
| 0.157
| 0.243
| 0.224
| 0.145
| 0.161
| 0.190
| -0.004
| 0.001
| 0.000
| -0.003
| -0.005
| -0.002
| 0.185
| 0.264
| 0.523
| 0.161
| 0.453
| 0.244
| -0.004
| 0.002
| 0.002
| -0.004
| 0.002
| 0.008
| 0.175
| 0.339
| 0.564
| 0.190
| 0.244
| 0.534
| -0.006
| 0.001
| 0.003
| -0.004
| -0.009
| -0.004
| -0.002
| -0.008
| -0.007
| -0.004
| -0.004
| -0.006
| 0.000
| 0.000
| 0.000
| 0.000
| 0.000
| 0.000
| 0.004
| 0.001
| 0.001
| 0.001
| 0.002
| 0.001
| 0.000
| 0.000
| 0.000
| 0.000
| 0.000
| 0.000
| 0.003
| -0.001
| 0.003
| 0.000
| 0.002
| 0.003
| 0.000
| 0.000
| 0.000
| 0.000
| 0.000
| 0.000
| -0.006
| -0.004
| -0.004
| -0.003
| -0.004
| -0.004
| 0.000
| 0.000
| 0.000
| 0.000108
| 0.000
| 0.000
| -0.007
| -0.007
| -0.002
| -0.005
| 0.002
| -0.009
| 0.000
| 0.000
| 0.000
| 0.000
| 0.000441
| 0.000
| -0.002
| -0.003
| 0.005
| -0.002
| 0.008
| -0.004
| 0.000
| 0.000
| 0.000
| 0.000
| 0.000
| 0.000417
|
д) Вычисление СКО дирекционных углов и длин сторон
αII-1
| 3.433
| αI-1
| 4.063
| αI-2
| 5.526
| αIII-1
| 2.270
| αIII-2
| 4.015
| α1-2
| 4.360
| SII-1
| 0.069
| SI-1
| 0.042
| SI-2
| 0.052
| SIII-1
| 0.062
| SIII-2
| 0.125
| S1-2
| 0.122
|
е) Вычисление обратной весовой матрицы вектора координат определяемых пунктов Q x,y=FQ α ,s FT
| αII-1
| αI-1
| αI-2
| αIII-1
| αIII-2
| α1-2
| SII-1
| SI-1
| SI-2
| SIII-1
| SIII-2
| S1-2
| |
| 0.010213113
|
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| -0.811
|
|
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| |
| 0.014141805
|
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| 0.5855
|
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| F=
|
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| 0.012242157
|
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| -0.35903
|
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| |
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| 0.00470925
|
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| 0.933327
|
|
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|
| | 0.0000661
| 0.0000385
| 0.0000607
| -0.0000190
| | | 0.0000385
| 0.0001245
| 0.0000743
| 0.0000450
| Q x,y=FQ α ,s FT
| 0.0000245
| 0.0000607
| 0.0000743
| 0.0001143
| | | -0.0000190
| 0.0000450
| 0.0000504
| 0.0001097
|
ж) Вычисление СКО положения пунктов
|