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JOURNALS // University proceedings. Volga region. Physical and mathematical sciences // Archive

University proceedings. Volga region. Physical and mathematical sciences, 2008 Issue 3, Pages 20–29 (Mi ivpnz742)

Mathematics

Rastran with 2-dimensional time

A. I. Dolgarev, E. V. Zeleva

Penza State University, Penza

Abstract: Operations on triples of real numbers with two leading components introduce a 3-dimensional raster called a W-raster. A representation of the W-raster by matrices and affine transformations is obtained. The genetic code of the W-rastran has been found. The Galilean norm on a W-raster with 2-dimensional time is determined. A formula for differentiating the rasterized functions is found. Equations of straight lines and two types of parallel lines are obtained in a space with a W-rastan.

UDC: 514.7



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