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lower-dimensional space

[/ˈloʊ.ər daɪˈmen.ʃən.əl speɪs/]
nounpl: lower-dimensional spaces
espaço de menor dimensionalidade
1. A mathematical space with fewer dimensions than a reference space, commonly used in geometry, linear algebra, and physics to describe projections or subspaces of higher-dimensional spaces.
A line is a lower-dimensional space compared to a plane.
Uma linha é um espaço de menor dimensionalidade em comparação com um plano.
2. In topology and differential geometry, a manifold or subspace embedded in or projected from a space of higher dimension.
The physicist analyzed the behavior of particles in lower-dimensional space to simplify the model.
O físico analisou o comportamento das partículas em espaço de menor dimensionalidade para simplificar o modelo.
Synonyms
subspacereduced-dimensional spacelower-dimension manifolddimensional projection
Antonyms
higher-dimensional spacefull-dimensional space

Regional Variations

General Brazilian
espaço de menor dimensionalidade
Standard mathematical terminology used in Brazilian universities
Portugal
espaço de dimensão reduzida
Alternative phrasing commonly used in Portuguese academic contexts
General
subespaço
Common shorthand in mathematical discussions

Related Idioms & Phrases

collapse into lower dimensions
project onto lower-dimensional space
embedding in lower dimensions
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