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Matematik Dili.pdf

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Bağıntıların özellikleriR, A kümesi üzerinde bir bağıntı olsunÖrnek: R, AxA kartezyen çarpımının bir alt kümesi A relation R on a set A is called reflexive (yansıma)if (x,x) ∈ R for every element x ∈ A. A relation R on a set A is called nonreflexive if (x,x) ∉ R forsome element x ∈ A. A relation R on a set A is called irreflexive if (x,x) ∉ R forevery element x ∈ A. A relation R on a set A is called symmetric (simetrik)if [(y,x) ∈ R whenever (x,y) ∈ R] or[(y,x) ∉ R whenever (x,y) ∉ R] or(x=y), for x,y ∈ A. A relation R on a set A such that (x,y) ∈ R and (y,x) ∈ R onlyif x=y, for x,y ∈ A, is called antisymmetric (antisimetrik).25

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