Mathematically, a set of integer numbers are denoted by blackboard-bold(ℤ) form of “Z”. And the letter “Z” comes from the German word Zahlen(numbers).
Blackboard-bold is a style used to denote various mathematical symbols. For example natural numbers, real numbers, whole numbers, etc.
In latex, the \mathbb command is used to convert a letter to blackboard-bold form, and the latter is passed as an argument in the command.
And this \mathbb command is included in more than one package. For example
amsfonts | \mathbb{Z} → |
amssymb | \mathbb{Z} → |
txfonts | \mathbb{Z} → |
pxfonts | \mathbb{Z} → |
\documentclass{article}
\usepackage{amsfonts}
\begin{document}
\[ \mathbb{Z}\subset\mathbb{Q}\]
\[ \mathbb{Z}=\{\ldots,-2,-1,0,1,2,\ldots\} \]
\end{document}
\[ \mathbb{Z}\subset\mathbb{Q}\]
\[ \mathbb{Z}=\{\ldots,-2,-1,0,1,2,\ldots\} \]
Integer number sets are divided into different parts depending on the positive and negative and those parts are denoted by different symbols.
Positive integer symbol
Positive integer symbols have been identified in different ways by different authors in different books. E.g. ℤ+, ℤ+, and ℤ>.
\documentclass{article}
\usepackage{amsfonts}
\begin{document}
\[ \mathbb{Z}^{+}=\{1,2,3,\ldots\} \]
\[ \mathbb{Z}_{+}=\{1,2,3,\ldots\} \]
\[ \mathbb{Z}^{>}=\{1,2,3,\ldots\} \]
\end{document}
\[ \mathbb{Z}^{+}=\{1,2,3,\ldots\} \]
\[ \mathbb{Z}_{+}=\{1,2,3,\ldots\} \]
\[ \mathbb{Z}^{>}=\{1,2,3,\ldots\} \]
Non-negative integer symbol
The second is the non-negative integer which includes all the positive numbers including zero. And which is denoted by ℤ0+ and ℤ≥ symbols.
\documentclass{article}
\usepackage{amsfonts}
\begin{document}
\[ \mathbb{Z}^{0+}=\{0,1,2,3,\ldots\} \]
\[ \mathbb{Z}^{\geq } =\{0,1,2,3,\ldots\} \]
\end{document}
\[ \mathbb{Z}^{0+}=\{0,1,2,3,\ldots\} \]
\[ \mathbb{Z}^{\geq } =\{0,1,2,3,\ldots\} \]
Non-zero integer symbol
The third is a non-zero integer denoted by the ℤ≠ and ℤ* symbols.
\usepackage{amsfonts}
.......
\[ \mathbb{Z}^{*} =\{\dots,-2,-1,1,2,\ldots\} \]
\[ \mathbb{Z}^{*} =\{\dots,-2,-1,1,2,\ldots\} \]
Hopefully, this tutorial has been presented to you in a very simple way. Even after this, if you have any difficulty in understanding, don’t forget to comment. Thank you