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What letter represents the set of integers?
The set of integers consists of zero, the natural numbers and their additive inverses. This is often denoted by a boldface Z ("Z") standing for the German word Zahlen, "numbers".
What is the symbol used to denote a set of integers?
Any symbol can be used to denote a set of integers. The set of all integers is denoted by Z, and the set of natural numbers by N.
Why you represent set of integers by Z instead of A?
Z, or more commonly denoted, ℤ (double line), is just the standard set mathematicians use to hold the set of all integers. Not everything stems from English, and in this case, the "Z" comes from the word "die Zahlen", which is the German plural word for numbers.
What is the symbol for integers where does it come from and what does it means?
The symbol for the set of integers is Z. This comes from the German Zahl, which means integer.
Is the divides relation on the set of positive integers transitive?
Yes. Suppose x divides y then there exist an integer p such that y = px. Suppose y divides z then there exist an integer q such that z = qy. Therefore z = q*px = qp*x Since p and q are integers then pq is an integer and therefore x divides z. That is to say: if x divides y and y divides z, then x divides z.
