Category:Definitions/Simultaneous Equations

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This category contains definitions related to Simultaneous Equations.
Related results can be found in Category:Simultaneous Equations.


A system of simultaneous equations is a set of equations:

$\forall i \in \set {1, 2, \ldots, m} : \map {f_i} {x_1, x_2, \ldots x_n} = \beta_i$


That is:

\(\ds \beta_1\) \(=\) \(\ds \map {f_1} {x_1, x_2, \ldots x_n}\)
\(\ds \beta_2\) \(=\) \(\ds \map {f_2} {x_1, x_2, \ldots x_n}\)
\(\ds \) \(\cdots\) \(\ds \)
\(\ds \beta_m\) \(=\) \(\ds \map {f_m} {x_1, x_2, \ldots x_n}\)