Positive integer.

In mathematics, z represents the set of all integers, including positive integers, 0 and negative integers. The set consisting of positive integers and 0 is also called a natural number, usually denoted as n ... The set of all positive integers is called a positive integer set, denoted as N*, Z+ or N+. The set of all negative integers is called the set of negative integers, and is denoted as Z-.

Introduction:

Positive integer set: a positive integer set is a set of all positive integers and integers, excluding 0 from the natural number set until infinity. Positive integer sets are usually represented by symbols N+, N*, N 1 and N0.

Negative integer set: a negative integer set is a set of all negative numbers and integers, and it is a set of natural numbers excluding 0 until infinity.

0: 0 means not only "nothing", but also a symbol of vacancy. Zero is neither a positive integer nor a negative integer, it is a number between positive and negative integers.

What does NZQRC stand for in mathematics?

A set of n all non-negative integers; R is a set of real numbers; Z is a set of integers; Q is a set of rational numbers; Z* is a set of positive integers; N* is a set of positive integers.

The concept of set sum operation

Set: Generally speaking, all definite and different objects in a certain range constitute a set.

Subset: For two sets A and B, if any element in set A is an element in set B, we say that these two sets have an inclusion relationship, and set A is a subset of set B, which is denoted as A? B is pronounced as a and is included in B.

Empty set: A set without any elements is called an empty set. Write φ.

The three elements of a set: certainty, mutual difference and disorder.

Representation methods of sets: enumeration method, description method, view method and interval method.

Classification of sets: finite set, infinite set and empty set.

Extended data:

Operational properties of sets

1、A∩B = B∩A； A∩B？ a； A∩B？ b； A∩U = A； A∩A = A； a∪φ=φ.

2、A∪B = BUA； Answer? a∪B； b？ a∪B； a∪U = U； A∪A = A； A∪φ=A .

3、Cu = A； Cuφ= U； CuU =φ； a∩CuA =φ； A∪CuA=U .

4、A？ B，B？ A, so A=B, a? B，B？ C, then a? C.

Common conclusion

1、A？ B = A∩B = A； Answer? B = A∪B = B； A∪B = A∪B = A = B .

2.CuA∩CuB=Cu, CuA∪CuB = Cu- De Morgan's Law.

References:

Baidu Encyclopedia-Senior One Mathematics

A set of numbers represented by R.

R is not only an English letter, but also a mathematical symbol. R is an infinite set.

R refers to the radius, such as the formula of circular area: R also represents the set of real numbers. R can establish bijection with its proper subset.

Others:

R+: set of positive real numbers.

R-: negative real number set.

R stands for the realnumber set in set theory, and the real number part of a complex number is also represented by this symbol, which is RealNumber in English.

* means non-zero.

+means greater than or equal to 0.

-means less than or equal to 0.

Is z an integer? Does it include negative numbers?

In mathematics, the capital symbol z is used to represent the set of all integers, including positive integers, 0 and negative integers. According to the new regulations, the set of positive integers and 0 is also called a natural number, which is usually recorded as n.

Z is an integer set. A set of all integers is called an integer set. It includes all positive integers, all negative integers and zeros. There are positive numbers and negative numbers in mathematics, which are represented by the number axis. The starting point is zero, the arrow pointing in the direction is positive, and the arrow pointing in the opposite direction is negative. A set represents everything, and a positive integer set is a set excluding 0 from the set of natural numbers until infinity.

Commonly used number sets and their symbols;

The set of all positive integers is called positive integer set, which is denoted as N*, Z+ or n+;

The set of all negative integers is called negative integer set, which is denoted as z-;

The set composed of all non-negative integers is called non-negative integer set, and is recorded as n;

The set composed of all integers is called integer set, which is denoted as z;

The set of all rational numbers is called rational number set, and it is recorded as q;

The set composed of all real numbers is called real number set, which is denoted as r;

The set composed of all imaginary numbers is called imaginary number set, which is denoted as I;

The set of complex numbers composed of all real numbers and imaginary numbers is called complex number set, and it is recorded as C.