iterative formula
[ɪˈtɛrətɪv ˈfɔrmjələ]
nounpl: iterative formulas
fórmula iterativa
1. A mathematical formula that uses the output of one calculation as the input for the next, repeating a process to progressively approach a solution
The iterative formula x_{n+1} = (x_n + a/x_n)/2 can be used to find square roots
A fórmula iterativa x_{n+1} = (x_n + a/x_n)/2 pode ser usada para encontrar raízes quadradas
2. A recurrence relation used in numerical methods where each successive approximation is computed from the previous one
Newton's method uses an iterative formula to find the roots of equations
O método de Newton usa uma fórmula iterativa para encontrar as raízes de equações
This is primarily a technical mathematical term used uniformly across both Brazilian and American English-speaking mathematics communities. It is essential terminology in computer science, numerical analysis, and engineering fields. In Brazilian universities, 'fórmula iterativa' is the standard term taught in calculus and numerical methods courses.
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