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Description: There are many notions of means, the arithmetic mean and geometric mean are quite familiar to many. There are also a few generalizations of these concepts, including the mean developed by V. M. Tikhomirov. However, these means fail to capture the general nature of means. A new definition is presented and it is shown that the Tikhomirov mean is a form of this mean.

License: CC-By Attribution 4.0 International

Has supplemental materials for Theory of Means on OSF Preprints

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