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Equidistances of Double Systems

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Encyclopedia of Analytical Surfaces
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Abstract

A set of points \( P_{ 1} ,P_{ 2} ,\; \ldots \) equidistant from the figures \( \varPhi_{1} ,\varPhi_{2} ,\; \ldots \)” in the space R n (n is a number of the measurements) is called an equidistance of the system \( \varPhi_{1} - \varPhi_{2} - \cdots\)” in R n . In this definition, a figure is any nonempty set of points and the term “equidistance” is not connected with the same name concept in the plane geometry of Lobachevski and was introduced as a comfortable abridgement.

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Correspondence to S. N. Krivoshapko .

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Krivoshapko, S.N., Ivanov, V.N. (2015). Equidistances of Double Systems. In: Encyclopedia of Analytical Surfaces. Springer, Cham. https://doi.org/10.1007/978-3-319-11773-7_38

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  • DOI: https://doi.org/10.1007/978-3-319-11773-7_38

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