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- Overdetermined_system abstract "In mathematics, a system of equations is considered overdetermined if there are more equations than unknowns. An overdetermined system is almost always inconsistent (it has no solution) when constructed with random coefficients. However, an overdetermined system will have solutions in some cases, for example if some equation occurs several times in the system, or if some equations are linear combinations of the others.The terminology can be described in terms of the concept of constraint counting. Each unknown can be seen as an available degree of freedom. Each equation introduced into the system can be viewed as a constraint that restricts one degree of freedom. Therefore the critical case occurs when the number of equations and the number of free variables are equal. For every variable giving a degree of freedom, there exists a corresponding constraint. The overdetermined case occurs when the system has been overconstrained — that is, when the equations outnumber the unknowns. In contrast, the underdetermined case occurs when the system has been underconstrained — that is, when the number of equations is fewer than the number of unknowns.".
- Overdetermined_system thumbnail 3_equations_-1.JPG?width=300.
- Overdetermined_system wikiPageID "10160606".
- Overdetermined_system wikiPageLength "11472".
- Overdetermined_system wikiPageOutDegree "50".
- Overdetermined_system wikiPageRevisionID "649757945".
- Overdetermined_system wikiPageWikiLink Augmented_matrix.
- Overdetermined_system wikiPageWikiLink Category:Linear_algebra.
- Overdetermined_system wikiPageWikiLink Category:Partial_differential_equations.
- Overdetermined_system wikiPageWikiLink Coefficient_matrix.
- Overdetermined_system wikiPageWikiLink Compressed_sensing.
- Overdetermined_system wikiPageWikiLink Consistency.
- Overdetermined_system wikiPageWikiLink Consistent_and_inconsistent_equations.
- Overdetermined_system wikiPageWikiLink Constraint_(mathematics).
- Overdetermined_system wikiPageWikiLink Constraint_counting.
- Overdetermined_system wikiPageWikiLink Degrees_of_freedom.
- Overdetermined_system wikiPageWikiLink Degrees_of_freedom_(statistics).
- Overdetermined_system wikiPageWikiLink Equation.
- Overdetermined_system wikiPageWikiLink Gaussian_elimination.
- Overdetermined_system wikiPageWikiLink Integrability_conditions_for_differential_systems.
- Overdetermined_system wikiPageWikiLink Kernel_(linear_algebra).
- Overdetermined_system wikiPageWikiLink Least_squares.
- Overdetermined_system wikiPageWikiLink Linear_algebra.
- Overdetermined_system wikiPageWikiLink Linear_combination.
- Overdetermined_system wikiPageWikiLink Linear_independence.
- Overdetermined_system wikiPageWikiLink Linear_least_squares_(mathematics).
- Overdetermined_system wikiPageWikiLink Mathematics.
- Overdetermined_system wikiPageWikiLink Matrix_(mathematics).
- Overdetermined_system wikiPageWikiLink Moore–Penrose_pseudoinverse.
- Overdetermined_system wikiPageWikiLink Ordinary_least_squares.
- Overdetermined_system wikiPageWikiLink Partial_differential_equation.
- Overdetermined_system wikiPageWikiLink QR_decomposition.
- Overdetermined_system wikiPageWikiLink Rank_(linear_algebra).
- Overdetermined_system wikiPageWikiLink Rouché–Capelli_theorem.
- Overdetermined_system wikiPageWikiLink Row_and_column_spaces.
- Overdetermined_system wikiPageWikiLink Row_echelon_form.
- Overdetermined_system wikiPageWikiLink Simultaneous_equations.
- Overdetermined_system wikiPageWikiLink System_of_linear_equations.
- Overdetermined_system wikiPageWikiLink System_of_polynomial_equations.
- Overdetermined_system wikiPageWikiLink Transpose.
- Overdetermined_system wikiPageWikiLink Triviality_(mathematics).
- Overdetermined_system wikiPageWikiLink Underdetermined_system.
- Overdetermined_system wikiPageWikiLink Variable_(mathematics).
- Overdetermined_system wikiPageWikiLink File:3_equations_-1.JPG.
- Overdetermined_system wikiPageWikiLink File:3_equations_-2.JPG.
- Overdetermined_system wikiPageWikiLink File:3_equations_-3.JPG.
- Overdetermined_system wikiPageWikiLink File:3_equations_-4.JPG.
- Overdetermined_system wikiPageWikiLink File:3_equations_-5.JPG.
- Overdetermined_system wikiPageWikiLink File:3_equations_-6.JPG.
- Overdetermined_system wikiPageWikiLinkText "Overdetermined system".
- Overdetermined_system wikiPageWikiLinkText "over-determination".
- Overdetermined_system wikiPageWikiLinkText "overdetermined equation system".
- Overdetermined_system wikiPageWikiLinkText "overdetermined system".
- Overdetermined_system wikiPageWikiLinkText "overdetermined".
- Overdetermined_system wikiPageUsesTemplate Template:For.
- Overdetermined_system subject Category:Linear_algebra.
- Overdetermined_system subject Category:Partial_differential_equations.
- Overdetermined_system comment "In mathematics, a system of equations is considered overdetermined if there are more equations than unknowns. An overdetermined system is almost always inconsistent (it has no solution) when constructed with random coefficients.".
- Overdetermined_system label "Overdetermined system".
- Overdetermined_system sameAs Q331348.
- Overdetermined_system sameAs Přeurčená_soustava_rovnic.
- Overdetermined_system sameAs Überbestimmung.
- Overdetermined_system sameAs m.02q3s6j.
- Overdetermined_system sameAs Переопределённая_система.
- Overdetermined_system sameAs Q331348.
- Overdetermined_system wasDerivedFrom Overdetermined_system?oldid=649757945.
- Overdetermined_system depiction 3_equations_-1.JPG.
- Overdetermined_system isPrimaryTopicOf Overdetermined_system.