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Sec






Mathematica Notation

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Elementary Functions > Sec[z] > Visualizations





Conformal map graphics (14 graphics)


Images of concentric circles around the origin

Images of concentric circles of radii between and around the origin under the (conformal) map . The red center of the right half of the image is the point , and the left cusp of the violet teardrop‐shaped curve is the point .

Images of the Riemann sphere of concentric circles of radii between and around the origin under the (conformal) map .

Images in the ‐plane of concentric circles of radii between and around the origin under the (conformal) map . The red center of the right half of the image is the point .

Images of radial rays originating from the origin

Images of rays from the origin under the (conformal) map . The curves cluster around the points 0 and 1.

Images on the Riemann sphere of rays from the origin under the (conformal) map .

Images of a square grid

Images of a square grid of size under the (conformal) map . Asymptotically, points are mapped to the two points .

Images of the tessellated Riemann sphere

Images of triangles on the Riemann sphere under the (conformal) map .

Plane to plane map

Curves parametrized by . Points (where ) move smoothly into points .