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Angular Distributions of Discrete Mesoscale Mapping Functions

Kroszczyński K.

Acta Geophysica

2015

Vol. 63, no. 4

1126--1149

The paper presents the results of analyses of numerical experiments concerning GPS signal propagation delays in the atmosphere and the discrete mapping functions defined on their basis. The delays were determined using data from the mesoscale non-hydrostatic weather model operated in the Centre of Applied Geomatics, Military University of Technology. A special attention was paid to investigating angular characteristics of GPS slant delays for low angles of elevation. The investigation proved that the temporal and spatial variability of the slant delays depends to a large extent on current weather conditions.

Mappings preserving some distances

Billich M.

Scientific Issues of Jan Długosz University in Częstochowa. Mathematics

2008

Vol. 13

10-14

We deal with mappings which preserve unit (some positive) distance, as well as with mappings contracting (expanding) some distance. In particular, we show that a mapping preserving three positive distances is an isometry.