Titlebook: Analysis and Presentation of Experimental Results; With Examples, Probl Costas Christodoulides,George Christodoulides Textbook 2017 Springe

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The Method of Least Squares,The method of least squares is developed. The application of the method in the fitting of the best straight line or curve to a series of experimental results, with the aim of determining the relationship existing between two variables. The method is also used in finding the optimal solutions of systems of overdetermined linear equations.

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Graphs,The techniques of graphical representation of experimental results are presented. The main characteristics of graphs (axes, scales, points, curves) are discussed. The evaluation of slopes and the intercepts of axes are described.

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Appendices,Four appendices to the book are presented:

Organization

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Banquet

一起

Measurement Errors,gnitude being measured is the error of the measurement. Measurement errors are classified in two categories: accidental and systematic. The various sources of errors are discussed. Also discussed are the effects of the errors of several variables on the errors of compound quantities which are functions of these variables.

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A Thought Experiment,iment’ we mean here a series of successive measurements of the same magnitude, under identical experimental conditions. The ‘results’ of the measurements in this thought experiment were found using random numbers.

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The Propagation of Errors,hich have been measured and whose means and standard deviations are known. The evaluation of the standard deviation of this quantity is done taking into account the so-called propagation of errors from the quantities that have been measured to the derived quantity.