Nota: A tradução desta entrada está atualmente em revisão de qualidade, portanto parte do conteúdo é exibida temporariamente apenas em inglês.
Este verbete ainda não foi traduzido para o seu idioma, portanto o original é exibido abaixo.
eigenvector
This term is used exclusively within the fields of linear algebra, physics, and data science. It describes a specific geometric property where a vector's direction remains invariant under a linear transformation, though its magnitude may be scaled. It is almost always paired with the concept of an eigenvalue, which represents the factor by which the eigenvector is stretched or shrunk.
In practical applications, such as Principal Component Analysis (PCA) or Google's PageRank algorithm, eigenvectors are used to identify the dominant axes of variation or the most influential nodes in a network. Because it is a technical mathematical term, it is used in a formal, academic register and does not have a casual or metaphorical equivalent in everyday speech.
Meanings
Examples
This is an eigenvector.
This is an eigenvector.
I calculated the eigenvector yesterday.
I calculated the eigenvector yesterday.
The professor explained the eigenvector during the lecture.
The magic spell shifted the eigenvector of the portal.
The algorithm identifies the principal eigenvector for data reduction.
PageRank relies on finding the dominant eigenvector of a matrix.
Historical analysis of stability often involves calculating an eigenvector.
Historical analysis of stability often involves calculating an eigenvector.