Nota: A tradução desta entrada está atualmente em revisão de qualidade, portanto parte do conteúdo é exibida temporariamente apenas em inglês.
Este verbete ainda não foi traduzido para o seu idioma, portanto o original é exibido abaixo.
planarity
This term describes a precise geometric state of flatness, often used in high-precision engineering and mathematics. It carries a technical, clinical connotation, focusing on the absolute adherence to a two-dimensional plane rather than a general sense of being level or smooth.
In graph theory, the term takes on a specific topological meaning regarding the ability to draw a network without crossing lines. Because it describes an abstract property or a state of being, it is treated as an uncountable mass noun and does not have a plural form.
Meanings
Examples
The professor explained the concept of planarity using a simple network diagram.
Does this graph possess planarity or are there inevitable edge crossings?
We need to verify the planarity of the silicon wafer before proceeding with the etching process.
The planarity of the surface is critical for the precision of the optical lens.
I wonder if this complex circuit layout can maintain planarity without adding more layers.
Kuratowski's theorem provides a definitive way to test for planarity in any finite graph.
The technician noted a slight deviation in planarity across the mounting plate.
If we can prove the planarity of this network, the routing algorithm becomes much simpler.