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Graphics Interchange Format  |  1995-06-13  |  15KB  |  537x824  |  8-bit (51 colors)
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OCR: Figure 12-4: Illustration of the Range of the Natural Logarithm Function The log function, which is the inverse of exp, naturally maps radial lines to horizon- lal lines and circles centered at the origin to vertical lines. The interior of the unit circle is thus mapped to the entire left half-plane, and the exterior of the unit circle is mapped to the right half-plane. The positive real axis is mapped to the entire real axis, and the negative real axia to a horizontal line of height x. The positive and negative imaginary axes are mapped to horizontal lines of height +x/2. The origin is mapped to -go.