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Relational forces and structures produced by them

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Abstract

After giving a brief review of the theory of organismic sets (Bull. Math. Biophysics,29, 139–152, 1967;31, 159–198, 1969), in which the concept of relational forces, introduced earlier (Bull. Math. Biophysics,28, 283–308, 1966a) plays a fundamental role, the author discusses examples of possible different structures produced by relational forces. For biological organisms the different structures found theoretically are in general agreement with observation. For societies, which are also organismic sets as discussed in the above references, the structures can be described only in an abstract space, the nature of which is discussed. Different isomorphisms between anatomical structures, as described in ordinary Euclidean space, and the sociological structures described in an abstract space are noted, as should be expected from the theory of organismic sets.

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  1. Mathematical Biology, Inc., R.F.D. 5, 49423, Holland, Michigan

    N. Rashevsky

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  1. N. Rashevsky
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Rashevsky, N. Relational forces and structures produced by them. Bulletin of Mathematical Biophysics 33, 321–338 (1971). https://doi.org/10.1007/BF02476777

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  • DOI: https://doi.org/10.1007/BF02476777

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