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:
| \(\ds \beta_1\) | \(=\) | \(\ds \map {f_1} {x_1, x_2, \ldots x_n}\) | ||||||||||||
| \(\ds \beta_2\) | \(=\) | \(\ds \map {f_2} {x_1, x_2, \ldots x_n}\) | ||||||||||||
| \(\ds \) | \(\cdots\) | \(\ds \) | ||||||||||||
| \(\ds \beta_m\) | \(=\) | \(\ds \map {f_m} {x_1, x_2, \ldots x_n}\) |
Subcategories
This category has the following 9 subcategories, out of 9 total.
D
E
G
I
S
Pages in category "Definitions/Simultaneous Equations"
The following 19 pages are in this category, out of 19 total.
C
G
S
- Definition:Simultaneous Equations
- Definition:Simultaneous Equations/Consistency
- Definition:Simultaneous Equations/Linear Equations
- Definition:Simultaneous Equations/Solution
- Definition:Simultaneous Equations/Solution Set
- Definition:Solution Set to System of Simultaneous Equations
- Definition:Solution to System of Simultaneous Equations
- Definition:Successive Over-Relaxation