Teleportation in mathematics

(This version isn't perfect. Please view version 3.)A phenomenon similar to teleportation can be found when an intersection that satisfies a specific condition is shown among the intersection points of a function and an inverse function as the parameter increases. I used this to create a new mathematical concept. It's just an example of setting the shape of the fake section to a semicircle, and we can expand it by expressing the fake section as a complex function or by expressing it as a figure.