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.
unbounded
This term evokes a sense of vastness and liberation, suggesting a space or state where constraints simply do not exist. While similar to infinite, it often emphasizes the absence of a perimeter or a ceiling rather than just a numerical quantity. It carries a positive, expansive connotation when applied to human spirit or emotion, suggesting a feeling that has overflowed all possible containers.
In technical or mathematical contexts, the word shifts from a poetic description to a precise logical property. Here, it describes a lack of a supremum or infimum, meaning the values can grow or shrink indefinitely. This creates a sharp contrast between the emotional usage, which implies richness and intensity, and the mathematical usage, which implies a lack of convergence or restriction.
Meanings
Examples
The universe seems to be an unbounded expanse of stars and void.
Her enthusiasm for the new project was absolutely unbounded.
Her enthusiasm for the new project was absolutely unbounded.
The sequence is unbounded as it grows toward infinity.
I feel an unbounded sense of freedom now that I have finally quit that job.
The ancient deity possessed unbounded power over the elements.
Is this function unbounded on the interval zero to one?
He looked at the horizon and imagined an unbounded world waiting to be explored.
Their joy was unbounded when they heard the news of the baby.