second-degree form
[/ˈsɛkənd dɪˈɡriː fɔːrm/]
nounpl: second-degree forms
forma de segundo grau
1. A polynomial expression or equation in which the highest power of the variable(s) is two; a quadratic form
The equation ax² + bxy + cy² is a second-degree form in two variables.
A equação ax² + bxy + cy² é uma forma de segundo grau em duas variáveis.
2. In algebra, a homogeneous polynomial of degree 2 in one or more variables
In linear algebra, we study second-degree forms to understand quadratic surfaces.
Em álgebra linear, estudamos formas de segundo grau para entender superfícies quadráticas.
3. A mathematical expression that can be represented as a sum of squares of linear combinations of variables
The second-degree form can be analyzed using matrix representation.
A forma de segundo grau pode ser analisada usando representação matricial.
This is technical mathematical terminology used primarily in academic and scientific contexts. In Brazil, it appears in undergraduate mathematics courses on linear algebra and advanced algebra. The term 'forma quadrática' is increasingly preferred in modern Portuguese mathematical literature, though 'forma de segundo grau' remains in use, particularly in more traditional educational settings.
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