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Acta Mathematica Academiae Paedagogicae Nyíregyháziensis, Vol. 17, No. 2, pp. 37-46 (2001)
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On the compressed Descartes-plane and its applications

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István Szalay

Department for Mathematics, Juhász Gyula Teachers Training College, University of Szeged, 6701 Szeged, Po Box 396, Hungary szalay@jgytf.u-szeged.hu

**Abstract:** The open interval $\lent{R} = (-1,1)$ with the sub-addition $\oplus$ and sub-multiplication $\odot$ is considered as a compressed model of the set of real numbers $R$. The paper contains the discussion of sub-linear function $y=(m\otimes x)\oplus b$ and shows its graph in the compressed Descartes-plane $\lent{R}^2 = \{(x,y) \in R^2: -1<x<1$ and $-1<y<1\}$.

**Keywords:** Compressed numbers, exploded numbers, compressed plane, model of real axis, model of Descartes-plane, subfunction, sub-linear function.

**Classification (MSC2000):** 00A35

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