Gramian

[/ˈɡræmiən/]
adjective/nounpl: Gramians
Gramiano
1. Relating to or denoting a mathematical matrix (Gramian matrix) used in linear algebra and control theory, named after Jørgen Pedersen Gram
The Gramian matrix is essential for analyzing system controllability in control theory.
A matriz Gramiana é essencial para analisar a controlabilidade do sistema em teoria de controle.
2. In linear algebra: a symmetric matrix formed by computing inner products of a set of vectors
We calculated the Gramian to determine linear independence of the vectors.
Calculamos a Gramiana para determinar a independência linear dos vetores.
3. Relating to Gram-Schmidt orthogonalization process or related mathematical concepts
The Gramian decomposition simplified the problem considerably.
A decomposição Gramiana simplificou o problema consideravelmente.
Gramian is a highly specialized technical term used primarily in academic and engineering contexts, particularly in control theory and linear algebra. It is not commonly used in everyday language and appears mainly in university-level mathematics and engineering coursework. The term is universally understood in Portuguese-speaking academic communities with the same meaning as in English.
Synonyms / Sinônimos
Gram matrixinner product matrix

Regional Variations

General Brazilian
Gramiana
Standard academic term used in engineering and mathematics
Portugal
Gramiana
Same usage as Brazil, technical mathematical terminology

Related Words

Gram-Schmidt processcontrollabilityobservabilitylinear algebramatrix theoryinner product
Look up more words on Fala2Me
The free English-Portuguese dictionary with real Brazilian accents, NYC slang, conjugator and more
Open Fala2Me →