Przykład obliczeniowy do ćwiczenia nr 6
Dziennik pomiarowy seria I
Odcinek Nr ............. |
Od reperu Nr ...................................km....................... Do reperu Nr ....................................km...................... |
Kierunek ..................................... |
Data........................... Str ............................. |
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Nr stanowiska |
Oznaczenie reperów |
Długość celowych |
Podziałka I wstecz (t1) w przód (p1) różnica (t1-p1) |
Podziałka II wstecz (t2) w przód (p21) różnica (t2-p2) |
Średnia z różnic podziałki I i II |
Uwagi: Warunki atmosferyczne, godzina początku i końca pracy, inne |
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1 |
2 |
3 |
4 |
5 |
6 |
7 |
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z przeniesienia |
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1 |
A |
25 |
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0 |
2 |
0 |
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1 |
4 |
4 |
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0 |
8 |
0 |
6 |
6 |
5 |
5 |
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0 |
1 |
7 |
4 |
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6 |
9 |
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0 |
7 |
8 |
0 |
5 |
9 |
1 |
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0 |
0 |
2 |
6 |
0 |
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5 |
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0 |
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6 |
4 |
+ |
0 |
0 |
2 |
6 |
0 |
6 |
9 |
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2 |
A |
25 |
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0 |
2 |
0 |
0 |
8 |
1 |
6 |
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0 |
8 |
0 |
7 |
3 |
2 |
5 |
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1 |
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7 |
0 |
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0 |
0 |
2 |
6 |
0 |
6 |
6 |
+ |
0 |
0 |
2 |
6 |
0 |
5 |
5 |
+ |
0 |
0 |
2 |
6 |
0 |
6 |
0 |
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3 |
A |
25 |
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0 |
2 |
0 |
0 |
0 |
9 |
1 |
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0 |
8 |
0 |
6 |
6 |
0 |
9 |
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0 |
1 |
7 |
4 |
0 |
3 |
0 |
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0 |
7 |
8 |
0 |
5 |
4 |
5 |
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+ |
0 |
0 |
2 |
6 |
0 |
6 |
1 |
+ |
0 |
0 |
2 |
6 |
0 |
6 |
4 |
+ |
0 |
0 |
2 |
6 |
0 |
6 |
2 |
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4 |
A |
25 |
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0 |
2 |
0 |
0 |
1 |
0 |
8 |
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0 |
8 |
0 |
6 |
6 |
2 |
7 |
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0 |
1 |
7 |
4 |
0 |
6 |
0 |
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0 |
7 |
8 |
0 |
5 |
4 |
5 |
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0 |
0 |
2 |
6 |
0 |
4 |
8 |
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0 |
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2 |
6 |
0 |
8 |
2 |
+ |
0 |
0 |
2 |
6 |
0 |
6 |
5 |
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5 |
A |
25 |
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0 |
2 |
0 |
0 |
3 |
9 |
8 |
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0 |
8 |
0 |
6 |
9 |
1 |
0 |
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0 |
1 |
7 |
4 |
3 |
4 |
2 |
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0 |
7 |
8 |
0 |
8 |
2 |
8 |
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0 |
0 |
2 |
6 |
0 |
5 |
6 |
+ |
0 |
0 |
2 |
6 |
0 |
8 |
2 |
+ |
0 |
0 |
2 |
6 |
0 |
6 |
9 |
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6 |
A |
25 |
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0 |
2 |
0 |
0 |
1 |
9 |
2 |
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0 |
8 |
0 |
6 |
7 |
0 |
9 |
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0 |
1 |
7 |
4 |
1 |
2 |
6 |
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0 |
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5 |
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0 |
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2 |
6 |
0 |
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6 |
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0 |
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2 |
6 |
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5 |
4 |
+ |
0 |
0 |
2 |
6 |
0 |
6 |
0 |
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7 |
A |
25 |
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0 |
2 |
0 |
0 |
2 |
7 |
5 |
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0 |
8 |
0 |
6 |
7 |
8 |
1 |
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0 |
1 |
7 |
4 |
2 |
0 |
1 |
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0 |
7 |
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0 |
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0 |
4 |
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0 |
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2 |
6 |
0 |
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4 |
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2 |
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0 |
7 |
7 |
+ |
0 |
0 |
2 |
6 |
0 |
7 |
5 |
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8 |
A |
25 |
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0 |
2 |
0 |
0 |
6 |
0 |
0 |
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0 |
8 |
0 |
7 |
1 |
2 |
0 |
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1 |
7 |
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5 |
0 |
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0 |
7 |
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1 |
0 |
6 |
6 |
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0 |
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2 |
6 |
0 |
5 |
0 |
+ |
0 |
0 |
2 |
6 |
0 |
5 |
4 |
+ |
0 |
0 |
2 |
6 |
0 |
5 |
2 |
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9 |
A |
25 |
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0 |
2 |
0 |
0 |
9 |
8 |
8 |
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0 |
8 |
0 |
7 |
5 |
0 |
1 |
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0 |
1 |
7 |
4 |
9 |
0 |
9 |
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0 |
7 |
8 |
1 |
4 |
5 |
4 |
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0 |
0 |
2 |
6 |
0 |
7 |
9 |
+ |
0 |
0 |
2 |
6 |
0 |
4 |
7 |
+ |
0 |
0 |
2 |
6 |
0 |
6 |
3 |
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10 |
A |
25 |
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0 |
2 |
0 |
0 |
9 |
4 |
2 |
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0 |
8 |
0 |
7 |
4 |
5 |
2 |
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0 |
1 |
7 |
4 |
8 |
8 |
7 |
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0 |
7 |
8 |
1 |
3 |
9 |
1 |
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+ |
0 |
0 |
2 |
6 |
0 |
5 |
5 |
+ |
0 |
0 |
2 |
6 |
0 |
6 |
1 |
+ |
0 |
0 |
2 |
6 |
0 |
5 |
8 |
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Suma 500 |
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Suma |
+ |
0 |
2 |
6 |
0 |
6 |
3 |
5 |
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t |
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2 |
0 |
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4 |
5 |
5 |
4 |
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8 |
0 |
6 |
9 |
6 |
8 |
9 |
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p |
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1 |
7 |
4 |
3 |
9 |
2 |
4 |
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7 |
8 |
0 |
9 |
0 |
4 |
9 |
Średnia (t-p) |
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do przeniesienia |
t-p |
+ |
0 |
2 |
6 |
0 |
6 |
3 |
0 |
+ |
0 |
2 |
6 |
0 |
6 |
4 |
0 |
+ |
0 |
2 |
6 |
0 |
6 |
3 |
5 |
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Dziennik pomiarowy seria II
Odcinek Nr ............. |
Od reperu Nr ...................................km....................... Do reperu Nr ....................................km...................... |
Kierunek ..................................... |
Data........................... Str ............................. |
||||||||||||||||||||||||
Nr stanowiska |
Oznaczenie reperów |
Długość celowych |
Podziałka I wstecz (t1) w przód (p1) różnica (t1-p1) |
Podziałka II wstecz (t2) w przód (p2) różnica (t2-p2) |
Średnia z różnic podziałki I i II |
Uwagi: Warunki atmosferyczne, godzina początku i końca pracy, inne |
|||||||||||||||||||||
1 |
2 |
3 |
4 |
5 |
6 |
7 |
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z przeniesienia |
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1 |
A |
25 |
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0 |
2 |
0 |
0 |
9 |
4 |
8 |
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0 |
8 |
0 |
7 |
4 |
6 |
3 |
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7 |
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8 |
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7 |
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7 |
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1 |
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8 |
9 |
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6 |
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2 |
A |
25 |
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5 |
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8 |
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4 |
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0 |
2 |
6 |
0 |
5 |
1 |
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3 |
A |
25 |
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0 |
2 |
0 |
0 |
9 |
5 |
8 |
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0 |
8 |
0 |
7 |
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6 |
1 |
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1 |
7 |
4 |
9 |
0 |
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0 |
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9 |
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4 |
A |
25 |
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0 |
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8 |
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1 |
7 |
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0 |
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9 |
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+ |
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0 |
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0 |
8 |
3 |
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6 |
A |
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2 |
0 |
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0 |
8 |
0 |
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0 |
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0 |
+ |
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0 |
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0 |
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7 |
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7 |
A |
25 |
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0 |
2 |
0 |
0 |
3 |
6 |
1 |
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0 |
8 |
0 |
6 |
8 |
7 |
4 |
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0 |
1 |
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4 |
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9 |
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0 |
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1 |
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0 |
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+ |
0 |
0 |
2 |
6 |
0 |
7 |
0 |
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8 |
A |
25 |
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0 |
2 |
0 |
0 |
5 |
8 |
7 |
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0 |
8 |
0 |
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1 |
0 |
0 |
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0 |
0 |
2 |
6 |
0 |
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1 |
+ |
0 |
0 |
2 |
6 |
0 |
6 |
6 |
+ |
0 |
0 |
2 |
6 |
0 |
5 |
8 |
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9 |
A |
25 |
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0 |
2 |
0 |
0 |
5 |
2 |
3 |
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0 |
8 |
0 |
7 |
0 |
4 |
0 |
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0 |
1 |
7 |
4 |
4 |
7 |
0 |
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0 |
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9 |
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+ |
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6 |
0 |
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+ |
0 |
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2 |
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0 |
7 |
1 |
+ |
0 |
0 |
2 |
6 |
0 |
6 |
2 |
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10 |
A |
25 |
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0 |
2 |
0 |
0 |
9 |
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5 |
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0 |
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0 |
7 |
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9 |
3 |
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0 |
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1 |
+ |
0 |
0 |
2 |
6 |
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6 |
7 |
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Suma 500 |
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Suma |
+ |
0 |
2 |
6 |
0 |
6 |
6 |
3 |
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t |
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2 |
0 |
0 |
7 |
2 |
8 |
9 |
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8 |
0 |
7 |
2 |
3 |
9 |
5 |
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p |
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1 |
7 |
4 |
6 |
6 |
4 |
0 |
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7 |
8 |
1 |
1 |
7 |
1 |
8 |
Średnia (t-p) |
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|||||||
do przeniesienia |
t-p |
+ |
0 |
2 |
6 |
0 |
6 |
4 |
9 |
+ |
0 |
2 |
6 |
0 |
6 |
7 |
7 |
+ |
0 |
2 |
6 |
0 |
6 |
6 |
3 |
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Obliczenia
Seria I
j |
XAjI |
XBjI |
djI |
XAjII |
XBjII |
djII |
djśr |
djśr |
rj |
rj2 |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
11 |
1 |
200144 |
174069 |
26075 |
806655 |
780591 |
26064 |
26069,5 |
130,348 |
-0,030 |
0,000900 |
2 |
200816 |
174750 |
26066 |
807325 |
781270 |
26055 |
26060,5 |
130,303 |
0,015 |
0,000225 |
3 |
200091 |
174030 |
26061 |
806609 |
780545 |
26064 |
26062,5 |
130,313 |
0,005 |
0,000025 |
4 |
200108 |
174060 |
26048 |
806627 |
780545 |
26082 |
26065 |
130,325 |
-0,007 |
0,000049 |
5 |
200398 |
174342 |
26056 |
806910 |
780828 |
26082 |
26069 |
130,345 |
-0,027 |
0,000729 |
6 |
200192 |
174126 |
26066 |
806709 |
780655 |
26054 |
26060 |
130,3 |
0,018 |
0,000324 |
7 |
200275 |
174201 |
26074 |
806781 |
780704 |
26077 |
26075,5 |
130,378 |
-0,060 |
0,003600 |
8 |
200600 |
174550 |
26050 |
807120 |
781066 |
26054 |
26052 |
130,26 |
0,058 |
0,003364 |
9 |
200988 |
174909 |
26079 |
807501 |
781454 |
26047 |
26063 |
130,315 |
0,003 |
0,000009 |
10 |
200942 |
174887 |
26055 |
807452 |
781391 |
26061 |
26058 |
130,29 |
0,028 |
0,000784 |
|
2004554 |
1743924 |
260630 |
8069689 |
7809049 |
260640 |
260635 |
1303,175 |
0,003 |
0,010009 |
|
|
|
|
|
|
|
średnia |
130,318 |
|
|
Seria II
j |
XAjI |
XBjI |
djI |
XAjII |
XBjII |
djII |
djśr |
djśr |
rj |
rj2 |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
11 |
11 |
200948 |
174887 |
26061 |
807463 |
781389 |
26074 |
26067,5 |
130,338 |
-0,006 |
0,000036 |
12 |
200551 |
174503 |
26048 |
807058 |
781004 |
26054 |
26051 |
130,255 |
0,077 |
0,005929 |
13 |
200958 |
174900 |
26058 |
807461 |
781392 |
26069 |
26063,5 |
130,318 |
0,014 |
0,000196 |
14 |
200813 |
174749 |
26064 |
807317 |
781235 |
26082 |
26073 |
130,365 |
-0,033 |
0,001089 |
15 |
200840 |
174756 |
26084 |
807359 |
781277 |
26082 |
26083 |
130,415 |
-0,083 |
0,006889 |
16 |
200723 |
174638 |
26085 |
807230 |
781180 |
26050 |
26067,5 |
130,338 |
-0,006 |
0,000036 |
17 |
200361 |
174279 |
26082 |
806874 |
780816 |
26058 |
26070 |
130,35 |
-0,018 |
0,000324 |
18 |
200587 |
174536 |
26051 |
807100 |
781034 |
26066 |
26058,5 |
130,293 |
0,039 |
0,001521 |
19 |
200523 |
174470 |
26053 |
807040 |
780969 |
26071 |
26062 |
130,31 |
0,022 |
0,000484 |
20 |
200985 |
174922 |
26063 |
807493 |
781422 |
26071 |
26067 |
130,335 |
-0,003 |
0,000009 |
|
2007289 |
1746640 |
260649 |
8072395 |
7811718 |
260677 |
260663 |
1303,317 |
0,003 |
0,016513 |
|
|
|
|
|
|
|
średnia |
130,332 |
|
|
Obliczenia statystyczne
Odchylenie standardowe s
Czy błąd δ z tytułu różnic „miejsc zerowych” pary łat jest równy zero?
Hipoteza zerowa nie jest odrzucana przy poziomie ufności α=0,95
Odcinek Nr ............. |
Od reperu Nr ...................................km....................... Do reperu Nr ....................................km...................... |
Kierunek ..................................... |
Data........................... Str ............................. |
||||||||||||||||||||||||
Nr stanowiska |
Oznaczenie reperów |
Długość celowych |
Podziałka I wstecz (t1) w przód (p1) różnica (t1-p1) |
Podziałka II wstecz (t2) w przód (p21) różnica (t2-p2) |
Średnia z różnic podziałki I i II |
Uwagi: Warunki atmosferyczne, godzina początku i końca pracy, inne |
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2 |
3 |
4 |
5 |
6 |
7 |
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Suma |
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Suma |
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t |
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p |
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Średnia (t-p) |
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|||||||
do przeniesienia |
t-p |
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