Isbn: 9786132891952 - mean of circular quantities: mathematics, mean, angle, real number, directional statistics, euclidean distance, unit circle, polar coordinate system, arithmetic mean (2 risultati)

Taschenbuch. Condizione: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware 88 pp. Englisch.

Taschenbuch. Condizione: Neu. This item is printed on demand - Print on Demand Titel. Neuware -Please note that the content of this book primarily consists of articlesavailable from Wikipedia or other free sources online. In mathematics, amean of circular quantities is a mean which is suited for quantitieslike angles, daytimes, and fractional parts of real numbers. This isnecessary since most of the usual means fail on circular quantities. Forexample, the arithmetic mean of 0° and 360° is 180°, although 0° wouldbe clearly the better choice. This is one of the simplest examples ofstatistics of non-Euclidean spaces. Since the arithmetic mean is noteffective for angles, the following method can be used to obtain both amean value and measure for the variance of the angles: Convert allangles to corresponding points on the unit circle. That is convert polarcoordinates to Cartesian coordinates. Then compute the arithmetic meanof these points. The resulting point will lie on the unit disk. Convertthat point back to polar coordinatesVDM Verlag, Dudweiler Landstraße 99, 66123 Saarbrücken 88 pp. Englisch.…