explicit formula
[ɪkˈsplɪsɪt ˈfɔːrmjələ]
nounpl: explicit formulas
fórmula explícita
1. A mathematical formula that directly expresses a variable as a function of other known quantities without requiring iterative calculation or implicit relationships
The explicit formula for the nth term of an arithmetic sequence is a_n = a_1 + (n-1)d.
A fórmula explícita para o enésimo termo de uma sequência aritmética é a_n = a_1 + (n-1)d.
2. In mathematics, a formula that gives the exact value directly, as opposed to an implicit formula that requires solving an equation
We derived an explicit formula for the solution instead of relying on the implicit relationship.
Derivamos uma fórmula explícita para a solução em vez de depender da relação implícita.
This is primarily technical mathematical terminology used universally in academic and scientific contexts across English and Portuguese-speaking countries. There are no cultural or regional variations in its usage.
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