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content/posts/Seraph.md
@@ -24,5 +24,11 @@ $$f(z)= iz\sqrt i \ \mathrm{mod}(3,z)$$
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So, our graph is the image of this function.
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In other words,
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$$G=f(P).$$
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+This a [video](#fig-1) of the graph transformation with linear interpolation.
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{{< video src="/videos/Seraph.mp4" width="75" >}}
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+
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+## Defintion of $\mathrm{mod}$ in complex numbers
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+The $\mathrm{mod}$ is defined like
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+$$\mathrm{mod}(z_1,z_2)=z_1-z_2 \ \mathrm{floor}\left(\frac{z_1}{z_2}\right) $$
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+And here $\mathrm{floor}$ is the complex floor function [attributed to E.E. McDonnell](https://www.jsoftware.com/papers/eem/complexfloor.htm).
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