Indeterminate system
In mathematics, particularly in number theory, an indeterminate system has fewer equations than unknowns but an additional a set of constraints on the unknowns, such as restrictions that the values be integers.[1]
Examples
Linear indeterminate equations
For given integers a, b and n, a linear indeterminant equation is with unknowns x and y restricted to integers. The necessary and sufficient condition for solutions is that the greatest common divisor, , is divisable by n.[1]: 11
See also
- Indeterminate equation
- Indeterminate form
- Indeterminate (variable)
- Linear algebra
- Simultaneous equations
- Independent equation
- Identifiability
References
- ^ a b Hua, Luogeng (1982). "Chapter 11. Indeterminate Equations". Introduction to Number Theory. SpringerLink Bücher. Berlin, Heidelberg: Springer Berlin Heidelberg. ISBN 978-3-642-68130-1.
Further reading
- Lay, David (2003). Linear Algebra and Its Applications. Addison-Wesley. ISBN 0-201-70970-8.