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The Shadows Lurking in the Equations – Underwater Islands

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Hacker News | Sep 16, 2026 | vismit2000

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Here is the "Slash Dot" Equation ( \( \frac{y}{x^2+y^2} = \frac{x+1}{x^2+y^2} \)) as both a conventional and fuzzy graph... For this equation, there is only 1 solution: (0, 0). Consider the equation, \( y=4 sin(x)+ sin(2. 7y) \), as both a conventional graph and a fuzzy graph: Note the floating dots in the fuzzy graph version that are not there in the conventional/binary graph.

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