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A 2→1 dimensional function which passes continuity tests along the x axis but is not actually continuous in the general sense: x²y / (x² + y²).





@isomorphisms Let ƒ:ℝ→ℝⁿ,g:ℝ→ℝ. Then the composition ƒg:ℝ→ℝ is defined for each x in the domain of g yfrog.com/oe71234741j







— rjp (@ryanprociuk) September 6, 2012

A 2→1 dimensional function which passes continuity tests along the x axis but is not actually continuous in the general sense: x²y / (x² + y²).

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(Source: inperc.com)

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