Plots of The Complex Logarithm Function (principal Branch)
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z = Re(Log(x + iy))
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z = |Im(Log(x + iy))|
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z = |Log(x + iy)|
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Superposition of the previous three graphs
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Famous quotes containing the words plots, complex and/or function:
“Nothing aids which may not also injure us.
Fire serves us well, but he who plots to burn
His neighbor’s roof arms his hands with fire.”
—Ovid (Publius Ovidius Naso)
“In the case of all other sciences, arts, skills, and crafts, everyone is convinced that a complex and laborious programme of learning and practice is necessary for competence. Yet when it comes to philosophy, there seems to be a currently prevailing prejudice to the effect that, although not everyone who has eyes and fingers, and is given leather and last, is at once in a position to make shoes, everyone nevertheless immediately understands how to philosophize.”
—Georg Wilhelm Friedrich Hegel (1770–1831)
“Philosophical questions are not by their nature insoluble. They are, indeed, radically different from scientific questions, because they concern the implications and other interrelations of ideas, not the order of physical events; their answers are interpretations instead of factual reports, and their function is to increase not our knowledge of nature, but our understanding of what we know.”
—Susanne K. Langer (1895–1985)