Which means an application preserves the orientation? For example:
1) Linear transformation $T:\mathbb{R}^{2} \rightarrow \mathbb{R}^{2}$ preserves orientation in $\mathbb{R}^{2}$.
2) $f:\mathbb{C} \rightarrow \mathbb{C}$ preserves orientation.
Which means an application preserves the orientation? For example:
1) Linear transformation $T:\mathbb{R}^{2} \rightarrow \mathbb{R}^{2}$ preserves orientation in $\mathbb{R}^{2}$.
2) $f:\mathbb{C} \rightarrow \mathbb{C}$ preserves orientation.