elliptic function
[ɪˈlɪptɪk ˈfʌŋkʃən]
nounfemininepl: elliptic functions / funções elípticas
função elíptica
1. A double periodic meromorphic function of a complex variable, having two independent periods whose ratio is not real
An elliptic function is invariant under translation by its periods.
Uma função elíptica é invariante sob translação por seus períodos.
2. In mathematics, a function related to the arc length of an ellipse, historically arising from the problem of computing ellipse perimeters
Elliptic functions emerged from attempts to calculate the perimeter of an ellipse.
As funções elípticas surgiram de tentativas de calcular o perímetro de uma elipse.
3. A class of special functions including Weierstrass p-function and Jacobi functions, fundamental in complex analysis and number theory
The Weierstrass p-function is one of the most important elliptic functions in mathematics.
A função p de Weierstrass é uma das funções elípticas mais importantes da matemática.
This is primarily a mathematical and academic term used universally in higher mathematics education and research across English-speaking countries and Brazil. It has no colloquial usage and appears exclusively in technical contexts such as complex analysis courses, number theory research, and physics applications. The terminology is consistent across different Portuguese-speaking regions.
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