closed-form formula
[/ˈkloʊzd fɔːrm ˈfɔːrmjələ/]
nounpl: closed-form formulas
fórmula em forma fechada
1. A mathematical expression that can be evaluated in a finite number of operations using only elementary mathematical operations (addition, subtraction, multiplication, division, exponentiation, and roots)
The quadratic formula is a closed-form formula that solves second-degree polynomial equations.
A fórmula de Bhaskara é uma fórmula em forma fechada que resolve equações polinomiais de segundo grau.
2. A solution to a problem expressed explicitly without requiring iteration or approximation methods
Finding a closed-form formula for the Fibonacci sequence remained a challenge until Binet's formula was discovered.
Encontrar uma fórmula em forma fechada para a sequência de Fibonacci permaneceu um desafio até que a fórmula de Binet foi descoberta.
This is technical mathematical terminology with consistent usage across Brazil, Portugal, and English-speaking countries. It is fundamental to mathematics, physics, and engineering education, representing a key distinction between exact analytical solutions and numerical approximations. The concept is equally valued in all mathematical traditions and educational systems.
Related Idioms & Phrases
to have a closed-form formula (para algo) - to have an exact solution
no closed-form formula exists - não existe solução exata conhecida
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