matrix elements
[/ˈmeɪtrɪks ˈɛləmənts/]
nounpl: matrix elements
elementos da matriz
1. Individual numerical values that compose a matrix, located at specific row and column positions
The matrix elements are arranged in rows and columns to form a rectangular array.
Os elementos da matriz estão dispostos em linhas e colunas para formar uma matriz retangular.
2. In quantum mechanics, the components of an operator when expressed in a particular basis, representing transition amplitudes between quantum states
The matrix elements of the Hamiltonian operator determine the energy transitions in the system.
Os elementos da matriz do operador Hamiltoniano determinam as transições de energia no sistema.
3. Components (i,j) of a matrix M, typically denoted as M_ij or a_ij, representing the value at the intersection of row i and column j
To find the matrix elements, we need to calculate each entry a_ij where i represents the row and j represents the column.
Para encontrar os elementos da matriz, precisamos calcular cada entrada a_ij onde i representa a linha e j representa a coluna.
This is a technical term primarily used in academic and scientific contexts in both English-speaking countries and Brazil. It is fundamental in mathematics, physics, and engineering curricula. The term carries the same meaning across all English-speaking regions and Portuguese-speaking countries, with no significant cultural variations in usage.
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