planarity condition

[plə-ˈner-ə-tē kən-ˈdi-shən]
nounpl: planarity conditions
condição de planaridade
1. A mathematical or structural requirement that determines whether a graph, surface, or geometric figure can be embedded in a plane without edge crossings or maintains properties of two-dimensional space
The planarity condition for a graph states that it must have no K5 or K3,3 subgraphs.
A condição de planaridade para um grafo estabelece que ele não deve ter subgrafos K5 ou K3,3.
2. In topology and graph theory, a constraint ensuring that a structure can be drawn on a flat surface without intersecting edges
Testing the planarity condition is essential in circuit design to minimize interference.
Testar a condição de planaridade é essencial no design de circuitos para minimizar interferência.
3. In physics and engineering, a requirement that certain geometric or mathematical properties remain consistent with two-dimensional behavior
The planarity condition must be satisfied for the membrane to maintain structural integrity.
A condição de planaridade deve ser satisfeita para que a membrana mantenha a integridade estrutural.
This is a specialized term primarily used in academic and technical contexts, particularly in mathematics, computer science, and engineering. It is not region-specific in terms of translation but rather discipline-specific. The term is standardized across English and Portuguese-speaking scientific communities.
Synonyms / Sinônimos
planar propertyplanarity criterionplanarity requirementflatness condition
Antonyms / Antônimos
non-planarityspatial conditionthree-dimensional requirement

Regional Variations

General Brazilian
condição de planaridade
Standard term used in mathematics and engineering fields
São Paulo
condição de planaridade
Commonly used in academic and technical contexts
Rio de Janeiro
condição de planaridade
Usage consistent with general Brazilian Portuguese
Portugal
condição de planaridade
Same terminology; used in Portuguese technical and academic settings

Related Words

planar graphembeddingKuratowski's theoremgraph theorytopologygeometric constraintEuler formula

Related Idioms & Phrases

satisfy the planarity condition
test for planarity
maintain planarity
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