Quasi-phi-functions for a mathematical modeling of the relations of geometric objects
DOI:
https://doi.org/10.15407/dopovidi2014.09.049Keywords:
geometric objects, modelingAbstract
The article considers the classes of special functions (quasi-phi-functions, normalized quasi-phi-functions, pseudonormalized quasi-phi-functions). The functions allow us to describe the non-overlapping of a pair of rotating geometric objects and distance constraints analytically. Basic characteristics of quasi-phi-functions are formulated in the form of theorems. We introduce quasi-phi-functions for some rotating 2D- and 3D-objects.
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