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Underdetermined system

In mathematics, a system of linear equations or a system of polynomial equations is considered underdetermined if there are fewer equations than unknowns (in contrast to an overdetermined system, where there are more equations than unknowns). The terminology can be explained using the concept of constraint counting. Each unknown can be seen as an…

Underdetermined systems with other constraints and in optimization problems, Solutions of underdetermined systems & Underdetermined polynomial systems

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Underdetermined systems with other constraints and in optimization problems

Optimization problemsObjective functionInteger programmingDiophantine equationsCoding theory
8 related topics

Solutions of underdetermined systems

Rouché–Capelli theoremRankAugmented matrixCoefficient matrixAlgorithms
6 related topics

Underdetermined polynomial systems

Systems of polynomial equationsAlgebraically closed fieldHilbert's NullstellensatzAlgebraic setDimension
5 related topics

Homogeneous case

Vector space
1 related topics

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Solutions of underdetermined systems

Homogeneous case

Underdetermined polynomial systems

Underdetermined systems with other constraints and in optimization problems

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Underdetermined system

Nodes35
Edges34
Triples9
Avg. degree1.94
Density0.057143
Components1

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Underdetermined system

Top relations

related to Underdetermined systems with other constraints and in optimization problems · 5
Underdetermined system → An, Diophantine, However, In, Some
related to Underdetermined polynomial systems · 4
Underdetermined system → Hilbert's Nullstellensatz, If, It, The

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Important terminology

system underdetermined equations solutions linear constraint number unknowns one variables polynomial degree freedom case inconsistent solution equal overdetermined problems constraints

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Underdetermined systemrelated to Underdetermined polynomial systemsThe0.60section
Underdetermined systemrelated to Underdetermined polynomial systemsIt0.60section
Underdetermined systemrelated to Underdetermined polynomial systemsHilbert's Nullstellensatz0.60section
Underdetermined systemrelated to Underdetermined polynomial systemsIf0.60section
Underdetermined systemrelated to Underdetermined systems with other constraints and in optimization problemsIn0.60section
Underdetermined systemrelated to Underdetermined systems with other constraints and in optimization problemsHowever0.60section
Underdetermined systemrelated to Underdetermined systems with other constraints and in optimization problemsSome0.60section
Underdetermined systemrelated to Underdetermined systems with other constraints and in optimization problemsAn0.60section
Underdetermined systemrelated to Underdetermined systems with other constraints and in optimization problemsDiophantine0.60section

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