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Titlebook: Continuum Methods of Physical Modeling; Continuum Mechanics, Kolumban Hutter,Klaus Jöhnk Textbook 2004 Springer-Verlag Berlin Heidelberg 20

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https://doi.org/10.1007/978-3-531-19823-1perature etc. These relations must be so structured that dependent and independent quantities are combined so as to yield dimensionally correct formulas. For instance, a physically correctly written formula must possess on each of its sides, left and right, the same physical dimension. Similarly, in
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Gisela Steins,Pia Anna Weber,Verena Welling shown, how the . averaged field equations could be derived from the full balance laws of physics by applying to them a filter operation 〈•〉. The properties of the filter were so assigned to include the ergodic hypothesis, which, in the averaging process, means that multiple averaging is an invarian
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