diagonalization
[ˌdaɪ.æɡ.ə.nəl.aɪˈzeɪ.ʃən]
nounfemininepl: diagonalizations / diagonalizações
diagonalização
1. The process of converting a matrix into a diagonal matrix by finding a similarity transformation, typically involving eigenvalues and eigenvectors
The diagonalization of the matrix revealed its eigenvalues on the main diagonal.
A diagonalização da matriz revelou seus autovalores na diagonal principal.
2. In general mathematics and logic, the process of reducing something to its essential or primary elements, often using a diagonal argument
Cantor's diagonalization argument proved that the real numbers are uncountable.
O argumento de diagonalização de Cantor provou que os números reais são incontáveis.
This is a specialized mathematical term used primarily in academic and technical contexts. In both Brazil and the USA, it is standard terminology in linear algebra courses at the university level. The concept is fundamental to advanced mathematics, physics, and engineering disciplines, with no significant regional variation in usage or meaning.
Related Idioms & Phrases
diagonalization of a matrix
orthogonal diagonalization
simultaneous diagonalization
Look up more words on Fala2Me
The free English-Portuguese dictionary with real Brazilian accents, NYC slang, conjugator and more
Open Fala2Me →