Solution Set

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High Quality Content by WIKIPEDIA articles! More generally, the solution set to an arbitrary collection E of relations (Ei) (i varying in some index set I) for a collection of unknowns {(xj)}{jin J}, supposed to take values in respective spaces {(Xj)}{jin J}, is the set S of all solutions to the relations E, where a solution x(k) is a family of values {(x^{(k)}j)}{jin J}in prod{jin J} Xj such that substituting {(xj)}{jin J} by x(k) in the collection E makes all relations "true". (Instead of relations depending on unknowns, one should speak more correctly of predicates, the collection E is their logical conjunction, and the solution set is the inverse image of the boolean value true by the associated boolean-valued function.)

Weitere Informationen

  • Allgemeine Informationen
    • GTIN 09786131355431
    • Editor Lambert M. Surhone, Mariam T. Tennoe, Susan F. Henssonow
    • EAN 9786131355431
    • Titel Solution Set
    • Herausgeber Betascript Publishing
    • Anzahl Seiten 104
    • Genre Mathematik

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