Real component: log z
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This example demonstrates the graphical representation of the real part of the logarithm of a complex number z, log z. It involves core concepts like complex numbers, logarithmic functions, and real part extraction. Construction highlights include using commands like SelectedIndex and Surface with objects such as t, a, b, c, Re, Branch. Suitable for high school and above students studying complex functions and graphical representations.
GeoGebra Commands & Parameters
SelectedIndex(Branch) → indSurface((u * cos(v)), (u * sin(v)), Re((u * cos(v)), (u * sin(v))), u, 0, 3, v, (-π), π - π / 1000) → RSRe
AI Drawing Prompt Reference
Create a 3D surface representing the real part of the logarithm of a complex number z, using parameters u and v where u ranges from 0 to 3 and v ranges from -π to π minus a small value. The x and y coordinates of the surface are determined by trigonometric functions of u and v, while the z coordinate is the real part of x and y, visualizing the real component of the complex logarithm function.
The prompt above was compiled from the original drawing commands and is for reference only.