Acta Mathematica Academiae Paedagogicae Nyíregyháziensis, Vol. 19, No. 1, pp. 1-18 (2003)

On the shift-window phenomenon of super-functions

I. Szalay

University of Szeged, Hungary

Abstract: Using exploded numbers we consider the exploded Descartes-plane in which have the graphs of super-functions. Of course certain parts of these graphs are visible in the traditional Descartes-plane, while the other parts may be invisible. To show the invisible parts we introduce the super shift - and screw transformations which result the shifted - and screwed Descartes - coordinate systems. For the sake of understanding the paper contains some examples, too.

Keywords: Exploded numbers, exploded Descartes-plane, window-phenomenon, super-shift transformation, screw transformation.

Classification (MSC2000): 03C30

Full text of the article:


[Next Article] [Contents of this Number]
© 2003 ELibM and FIZ Karlsruhe / Zentralblatt MATH for the EMIS Electronic Edition