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How to write Latex imaginary part symbol of a complex number? The real number b is called the imaginary part of the complex number a + ib.
Let $a,b\in \mathbb{R}$ and $z=a+ib \in \mathbb{C}$.
Real part and imaginary part are defined like follows:
$$ \begin{array}{ccc} a & + & i & b\\ \uparrow & & &\uparrow \\ \Re (z) & & &\Im (z) \\ \text { Real part } & && \text { Imaginary part } \end{array} $$
You can use \Im function:
$$\Im (z)= \Im(a+ib)=b$$
$$\Im (z)= \Im(a+ib)=b$$
You can use \operatorname function:
\documentclass[12pt,a4paper]{article}
\usepackage[utf8]{inputenc}
\usepackage{amsmath}
\begin{document}
$$\operatorname{Im}(z)= \operatorname{Im}(a+ib)=b$$
\end{document}
$$\operatorname{Im}(z)= \operatorname{Im}(a+ib)=b$$
You can use \mathfrak function:
\documentclass[12pt,a4paper]{article}
\usepackage[utf8]{inputenc}
\usepackage{amsfonts}
\begin{document}
$$\mathfrak{Im}(z)= \mathfrak{Im}(a+ib)=b$$
\end{document}
$$\mathfrak{Im}(z)= \mathfrak{Im}(a+ib)=b$$