Exploded and compressed spaces

Szalay, I. (2003) Exploded and compressed spaces. ACTA MATHEMATICA ACADEMIAE PAEDAGOGICAE NYÍREGYHÁZIENSIS, 19 (1). pp. 19-41. ISSN 0866-0174

Preview

Text amapn19_02.pdf Download (1MB) | Preview

Abstract

Continuing the theory of exploded and compressed numbers the paper contains five parts. Part 1.: Introduction which contains the most important rules of computation with exploded and compressed numbers. Part 2.: This part contains the concept of explosion and compression of $k$-dimensional Euclidean space $R^k$ extending the concepts of traditional linear operations, inner product, norm and metric. We extend them for the case of several variables. Part 3.: Descriptions of lux phenomena which show the visible parts of objects in the exploded spaces. Part 4.: The beginning of analysis of functions with several variables defined on the exploded space. Part 5.: A few words on the geometry of the exploded three dimensional space with an interesting open problem for the traditional three dimensional space.

Actions (login required)

Edit Item