In the present paper, we study surfaces invariant under the 1-parameter subgroup in Sol space $rm Sol_3$. Also, we characterize the surfaces in $rm Sol_3$ whose coordinate functions of an immersion of the surface are eigenfunctions of the Laplacian $Delta$ of the surface.

in this paper, a new method for determining position and orientation of a coordinate system using its image is presented. this coordinate system is a three dimensional non-orthogonal system in respect to the two dimensional and orthogonal camera coordinate system.  in real world, it’s exactly easy to select three directions on an object so that they don’t be orthogonal and on a plane. the image...

geospatial information system (gis) has emerged as a very powerful tool for capturing, storing, analyzing, managing, and presenting data that is linked to location. the location information, which is usually obtained from existing maps or the global positioning systems (gps), refers to different coordinate and map projection systems. therefore, unification of the coordinate and mapping systems ...