approximate sequence

[/əˈprɒksɪmət ˈsiːkwəns/]
nounpl: approximate sequences
sequência aproximada
1. In mathematics and functional analysis, a sequence of elements that converges to or approaches a given element in a topological space, often used in the context of Banach spaces and approximation theory.
The approximate sequence converges weakly to the limit function in the Hilbert space.
A sequência aproximada converge fracamente para a função limite no espaço de Hilbert.
2. A sequence used in numerical analysis to find increasingly accurate approximations to a solution of an equation or mathematical problem.
The approximate sequence generated by the iteration method provides better estimates with each step.
A sequência aproximada gerada pelo método de iteração fornece estimativas melhores a cada passo.
This is specialized mathematical terminology primarily used in academic and research contexts in both Brazil and English-speaking countries. It is not commonly used in everyday conversation and is confined to mathematics, engineering, and physics disciplines.
Synonyms / Sinônimos
approximating sequenceconvergent sequenceiterative sequence
Antonyms / Antônimos
divergent sequenceexact sequence

Regional Variations

General Brazilian
sequência aproximada
standard mathematical terminology used in universities and technical contexts
Portugal
sequência aproximada
same terminology used in Portuguese mathematics education and research
USA/International
approximate sequence
primary English term used in mathematical literature and academic publications

Related Words

approximation theoryconvergencefunctional analysisnumerical methodsBanach spacelimit

Related Idioms & Phrases

converge to a limit
approach asymptotically
successive approximation
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