Abstract


  • Discrete objects, for example there is a clear separation between and , unlike there can be between and
  • Used a lot in Discrete Math
  • The mathematical symbol is (315, -9045), positive integers are represented with (0,1,2,3,4…)

Important

is neither negative or positive.

Integer Mathematical Model

  • any integer can be obtain from
    • : total number of digits in the given integer
    • : the index position of the given integer counting from the right hand side
    • : the value of the digit at position

Theorems


Theorem 4.4.1

  • The Quotient-Remainder Theorem
  • Given any Integer (整数) n and positive integer d, there exist unique integers q and r such that

Theorem 4.6.1