Theory of Observations
Theory of Observations
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In our eReader you can find the full English version of the book. Read Theory of Observations Online - link to read the book on full screen. Our eReader also allows you to upload and read Pdf, Txt, ePub and fb2 books. In the Mini eReder on the page below you can quickly view all pages of the book - Read Book Theory of Observations
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. . -\- z[da X^] (GO) [pdX^] = x[ad X2] -\- . -\- z[dd X2], from which we determine the coefficients x . . . Z unambiguously. The number m of these equations is equal to the number of the unknown quantities, and they must be sufficient for the determination of the latter, because, according to a well known proposition from the theory of determinants, the determinant of the coefficients [aaXi], [dak^] [adk^], . . [ddki] = 2 dr, . . D, X^iOr) . . . X„(0s) is positive, being a sum of squares, and ...cannot be = 0, unless at least one of the func- tions [ao] . . . [do] could, contrary to our supposition, be represented as a function of the others.
From the values of a; ... 2 thus found, we find likewise [p'o] = [po] — x[ao] — . . . — z[do]. (61) If [po] belongs to the partial system represented by [ao] .... [do], the de- termination of X . . . . Z expresses its coefficients in that system only, and then we get identically [p'o] = 0.
8 58 But if we take [po] out of the partial system, then (61) gives us [p'o] as different from zero and free of that partial system.
What to read after Theory of Observations?
You can find similar books in the "Read Also" column, or choose other free books by T N Thorvald Nicolai Thiele to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
. . -\- z[da X^] (GO) [pdX^] = x[ad X2] -\- . -\- z[dd X2], from which we determine the coefficients x . . . Z unambiguously. The number m of these equations is equal to the number of the unknown quantities, and they must be sufficient for the determination of the latter, because, according to a well known proposition from the theory of determinants, the determinant of the coefficients [aaXi], [dak^] [adk^], . . [ddki] = 2 dr, . . D, X^iOr) . . . X„(0s) is positive, being a sum of squares, and ...cannot be = 0, unless at least one of the func- tions [ao] . . . [do] could, contrary to our supposition, be represented as a function of the others.
From the values of a; ... 2 thus found, we find likewise [p'o] = [po] — x[ao] — . . . — z[do]. (61) If [po] belongs to the partial system represented by [ao] .... [do], the de- termination of X . . . . Z expresses its coefficients in that system only, and then we get identically [p'o] = 0.
8 58 But if we take [po] out of the partial system, then (61) gives us [p'o] as different from zero and free of that partial system.
What to read after Theory of Observations?
You can find similar books in the "Read Also" column, or choose other free books by T N Thorvald Nicolai Thiele to read onlineMoreLess
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