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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