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Principles of Similitude

Authors: Emanuele Fumagalli;

Principles of Similitude

Abstract

According to the principles of mechanics, having acquired the concept of “quantity”, if we wish to define the sum of two homogeneous quantities it is necessary to introduce the concept of “magnitude” as the ratio between the quantity under consideration and another one, homogeneous to it, chosen as unity. We define a “dimensional system” as the whole set of derived quantities whose units can be obtained from certain predetermined “fundamental” units. Among the various dimensional systems we mention those of: geometry, where all the quantities can be derived from one fundamental quantity represented by the length L; kinematics, where all the quantities can be derived from those of length L and time T; statics, where all the quantities can be derived from those of length L and force P, or (see 1.4) length L and specific force; mechanics in general, in which all the quantities can be derived from the above three fundamental ones.

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Powered by OpenAIRE graph
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
3
Average
Average
Average
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