95 research outputs found
Parallel bundles in planar map geometries
Parallel lines are very important objects in Euclid plane geometry and its
behaviors can be gotten by one's intuition. But in a planar map geometry, a
kind of the Smarandache geometries, the sutation is complex since it may
contains elliptic or hyperbolic points. This paper concentrates on the behavior
of parallel bundles, a generazation of parallel lines in plane geometry and
obtains characteristics for for parallel bundles.Comment: 16page
Non-Solvable Spaces of Linear Equation Systems
Different from the homogenous systems, a Smarandache system is a contradictory system in which an axiom behaves in at least two different ways within the same system, i.e., validated and invalided, or only invalided but in multiple distinct ways
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