Z represents a set of integers in a set in mathematics.
Integer set A set of all integers is called an integer set. It includes all positive integers, all negative integers and zeros. In mathematics, integer sets are usually represented by Z. The reason why Z is used to represent integer sets involves the contribution of a German female mathematician to ring theory. Her name is Nott.
In 1920, she introduced the concepts of "left module" and "right module". The ideal theory of the whole ring written in 192 1 is a milestone in the development of commutative algebra. Nott introduced the concept of integer ring (integer set itself is also a number ring). She is German, and the integer in German is called Zahlen, so she wrote the integer ring as Z at that time, so the integer set is represented by Z.
Common symbols of a set of numbers
1 and n represent a set of natural numbers in a set. A non-negative integer set is a specific set, which refers to the set of all natural numbers, and is commonly represented by the symbol n. Non-negative integers include positive integers and zeros. A set of nonnegative integers is a countable set.
Q stands for a set of rational numbers. The set of rational numbers, that is, the set of all rational numbers, is represented by the bold letter Q, and the set of rational numbers is a subset of the set of real numbers. The set of rational numbers is an infinite set with no maximum and minimum.
3.r stands for a set of real numbers. Generally speaking, a real number set is a set that usually contains all rational numbers and irrational numbers, and is usually represented by the capital letter R.
4.n+ represents a set of positive integers. The set of all positive integers is called a positive integer set.