On the Algebraical And Numerical Theory of Errors of Observations And the Combin
On the Algebraical And Numerical Theory of Errors of Observations And the Combin
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To quickly assess the difficulty of the text, read a short excerpt:
Instance (2). A geodetic theodolite being con- sidered immoveable, observations (whose actual error is M) are made with it for the direction of the north meri- dian, and observations (subject to actual errors A, B, C, &c. ) are made on different triangulation-signals : to find the weight to be given to the determination of the true azimuth of each signal.
Using analogous notation, the theoretical weight m is to be divided into parts m a, m b, m c, &c. ; and then the weights of the determination...s for separate signals are those produced by combining m a with a, m b with b, &c, or are am bm m + (a + b + c &c. ) ' m + (a + b + c &c. ) , &c.
80. Instance (3). In the observation of zenith-dis- tances of stars for the amplitude of a meridian arc divided f^S.
ENTANGLED MEASURES. 65 into two sections by an intermediate station : suppose that a stars are observed at all the stations, the means of actual errors being respectively A t, A 2, A 3 : suppose that b stars are observed at the first and second stations only, the means of the actual errors being respectively B t, B 2 : that c stars are observed at the second and third only, the means of actual errors being C 2, C 3 : and that d stars are observed at the first and third only, the means of actual errors being J) 1, D 3 .
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You can find similar books in the "Read Also" column, or choose other free books by Airy George Biddell to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
Instance (2). A geodetic theodolite being con- sidered immoveable, observations (whose actual error is M) are made with it for the direction of the north meri- dian, and observations (subject to actual errors A, B, C, &c. ) are made on different triangulation-signals : to find the weight to be given to the determination of the true azimuth of each signal.
Using analogous notation, the theoretical weight m is to be divided into parts m a, m b, m c, &c. ; and then the weights of the determination...s for separate signals are those produced by combining m a with a, m b with b, &c, or are am bm m + (a + b + c &c. ) ' m + (a + b + c &c. ) , &c.
80. Instance (3). In the observation of zenith-dis- tances of stars for the amplitude of a meridian arc divided f^S.
ENTANGLED MEASURES. 65 into two sections by an intermediate station : suppose that a stars are observed at all the stations, the means of actual errors being respectively A t, A 2, A 3 : suppose that b stars are observed at the first and second stations only, the means of the actual errors being respectively B t, B 2 : that c stars are observed at the second and third only, the means of actual errors being C 2, C 3 : and that d stars are observed at the first and third only, the means of actual errors being J) 1, D 3 .
What to read after On the Algebraical And Numerical Theory of Errors of Observations And the Combin?
You can find similar books in the "Read Also" column, or choose other free books by Airy George Biddell to read onlineMoreLess
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