smooth groups
[/smuːð ɡruːps/]
nounpl: smooth groups
grupos suaves
1. In mathematics, specifically in differential geometry and Lie theory, groups that possess a smooth manifold structure compatible with the group operations
Smooth groups are fundamental objects in differential geometry and theoretical physics.
Grupos suaves são objetos fundamentais em geometria diferencial e física teórica.
2. Groups equipped with a differentiable structure where multiplication and inversion are smooth maps
The general linear group is an example of a smooth group.
O grupo linear geral é um exemplo de um grupo suave.
3. In colloquial context, groups or teams that operate harmoniously without friction
The project team worked as smooth groups with excellent coordination.
O time do projeto funcionou em grupos suaves com excelente coordenação.
This term is primarily used in academic and mathematical contexts in both Brazil and the USA. In Brazilian universities, 'grupos suaves' is the standard translation in differential geometry courses. The term has little to no presence in everyday colloquial speech and is restricted to specialized mathematical discourse.
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