asymmetric function
[/ˌeɪsɪˈmetrɪk ˈfʌŋkʃən/]
nounfemininepl: asymmetric functions / funções assimétricas
função assimétrica
1. A mathematical function that does not satisfy the property of symmetry; a function where f(x,y) ≠ f(y,x) for at least some values of x and y
The function f(x,y) = x - y is an asymmetric function because f(x,y) ≠ f(y,x).
A função f(x,y) = x - y é uma função assimétrica porque f(x,y) ≠ f(y,x).
2. In algebra, particularly in the theory of symmetric functions, a function that changes sign when two variables are swapped; an alternating function
Asymmetric functions play a crucial role in the study of determinants and permutations.
Funções assimétricas desempenham um papel crucial no estudo de determinantes e permutações.
3. In general mathematics, any function whose behavior is not mirror-symmetric with respect to its arguments
When analyzing the data set, we discovered the relationship followed an asymmetric function.
Ao analisar o conjunto de dados, descobrimos que a relação seguia uma função assimétrica.
This is a specialized mathematical term used consistently across English and Portuguese-speaking academic communities. It appears in mathematics textbooks, research papers, and university curricula in both Brazil and the United States without significant variation in usage or translation.
Related Idioms & Phrases
an asymmetric function behaves differently under argument permutation
asymmetric functions are fundamental to the theory of determinants
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