Recent content by jaiez

  1. J

    Solving Discrete Math: Integer & Algorithm Homework

    I have these two questions in discrete mathematics and I need your help to answer it…. Proof that ∀x⇁p(x)≡⇁∃x p(x) And Proof that ⇁∀xp(x)≡∃x⇁ p(x) Let R be the relation on the set {1,2,3,4,5} containing the order pairs(1,1) ,(1,2) (1,3) ,(2,3) (2,4) ,(3,1) (3,4) ,(3,5) ,(4,2) (4,5) ,(5,1)...
  2. J

    Graduate Chinese Remainder Theorem: A Powerful Tool in Number Theory

    I have these two questions in discrete mathematics and I need your help to answer it…. Proof that ∀x⇁p(x)≡⇁∃x p(x) And Proof that ⇁∀xp(x)≡∃x⇁ p(x) Let R be the relation on the set {1,2,3,4,5} containing the order pairs(1,1) ,(1,2) (1,3) ,(2,3) (2,4) ,(3,1) (3,4) ,(3,5) ,(4,2) (4,5) ,(5,1)...