The Principles of Measurement and of Calculation in Their Application to the Determination of Diophantine Quantities (Classic Reprint) - Softcover

Washburn, Edward W.

Softcover

ISBN 10: 1528227824 ISBN 13: 9781528227827

Verlag: Forgotten Books, 2017

Inhaltsangabe

Excerpt from The Principles of Measurement and of Calculation in Their Application to the Determination of Diophantine Quantities

It will be noticed that in the above descriptions we have employed such expressions as obviously, reasonable, and' 'appropriate which are not defined and which are. Essentially incapable of exact definition. In fact, except perhaps in purely statistical problems, no mathematical method of treating the observational data can entirely replace the scientific good judgment of the investigator. At most it can only suggest an orderly procedure and point out the logical inferences involved.

As an example of a measurement which 1s itself a simple operational element, let us consider the measurement of the distance between two parallel fine lines on a plane Surface. We will suppose that one of the lines is brought into coincidence with a graduation mark of a standard meter divided into millimeters and that the position of the second line is estimated, to the nearest tenth millimeter or better with the aid of a cross hair, no vernier being used. It will be generally agreed that a trained observer using the above apparatus and technic could not make an error of as much as mm. This agreement would still prevail for mm and probably for 0. 2 mm. In other words, the value mm would be generally approved as a reasonable and conservative choice for the' 'maximum error of the method. In fact, a smaller value, say mm, would doubtless meet the approval of many investigators accustomed to making observations of this character, but this smaller value is obviously approaching the dang er limit, and an investigator who proposed using it would probably be expected to justify his choice.

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Details zur Ausgabe

• Verlag: Forgotten Books
• Erscheinungsdatum: 2017
• Sprache: Englisch
• ISBN 10: 1528227824
• ISBN 13: 9781528227827
• Einband: Taschenbuch
• Anzahl der Seiten: 32
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