approximating sequence
[/əˌprɒksɪˈmeɪtɪŋ ˈsiːkwəns/]
nounpl: approximating sequences
sequência aproximante
1. A sequence of mathematical objects (numbers, functions, sets) that converge to or approach a limit or target value
The approximating sequence of rational numbers converges to the irrational number π.
A sequência aproximante de números racionais converge para o número irracional π.
2. In numerical analysis, a sequence whose successive terms come increasingly closer to the solution of an equation or problem
The Newton-Raphson method generates an approximating sequence that rapidly approaches the root of the polynomial.
O método de Newton-Raphson gera uma sequência aproximante que se aproxima rapidamente da raiz do polinômio.
3. In functional analysis, a sequence of functions that pointwise or uniformly approaches a target function
An approximating sequence of continuous functions can represent a discontinuous function in the limit.
Uma sequência aproximante de funções contínuas pode representar uma função descontínua no limite.
This is highly technical mathematical terminology used primarily in academic and scientific contexts. In Brazil, it appears consistently in calculus, numerical analysis, and functional analysis courses. The term reflects the international standardization of mathematical vocabulary across Portuguese-speaking countries, though Portugal and Brazil may have minor variations in preference between 'sequência' and 'sucessão'.
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