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What function has a graph that looks like this but i just want 2 dimensions enter image description here

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up vote 2 down vote accepted

$$\ln(|x|)$$ where $\ln$ is the logarithmic function to the base $e$, and $|x|$ is the absolute value of $x$.

Graph of the function $\ln(|x|)$

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the graph have good resemblance with space time around black hole but the image you showed of graph ln(|x|) is ugly !! – alugnis-eloh Dec 19 '13 at 13:35
@alugnis-eloh You can't expect it to look like Mona Lisa – Torsten Hĕrculĕ Cärlemän Dec 19 '13 at 13:36
@alugnis-eloh That was just a screen-shot from Wolfram|Alpha, I would be happy if someone could render the graph of the function in question with Mathematica. – user93957 Dec 19 '13 at 13:38

Seems like a simple function of the form :$$\dfrac{-k}{x^{2}+y^{2}}$$

Graph example

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Graph of it please! – alugnis-eloh Dec 19 '13 at 13:32
and is k a variable or a constant? – alugnis-eloh Dec 19 '13 at 13:35
@alugnis-eloh , updated – Arjang Dec 19 '13 at 13:47

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