Author: Urs Format: MarkdownItexI have touched the Idea-section, trying to beautify a little. In particular I added a little diagram, illustrating what the text is saying:
$$
\array{
&
&& \mathbb{R}
\\
&
&
{}^{\mathllap{cos}}\nearrow
& \big\uparrow{}^{ \mathrlap{pr_1} }
\\
\mathbb{R}
\overset{exp}{\longrightarrow}
&
S^1
&\hookrightarrow&
\mathbb{R}^2
&\simeq&
\mathbb{R} \times \mathbb{R}
\\
&
& {}_{\mathllap{sin}}\searrow & \big\downarrow{}^{ \mathrlap{pr_2} }
\\
&
&& \mathbb{R}
}
\,,
$$
Eventually parts of this page should really be at _[[cos]]_ and _[[sin]]_.
<a href="https://ncatlab.org/nlab/revision/diff/trigonometric+function/7">diff</a>, <a href="https://ncatlab.org/nlab/revision/trigonometric+function/7">v7</a>, <a href="https://ncatlab.org/nlab/show/trigonometric+function">current</a>
I have touched the Idea-section, trying to beautify a little. In particular I added a little diagram, illustrating what the text is saying:
Eventually parts of this page should really be at cos and sin.