| My Favourite (Math) Mistake |
We often think that to be a mathematician we are supposed to be a genius (hence not make mistakes), but that couldn't be further from the truth!听Have a look at this听听of a discussion between students and faculty about our favourite mistakes听to find out more about the issue, including pre and postcognition, the impostor syndrome, the prodigy myth, defining variables to be themselves, being a human in math, and other interesting stuff! |
| The family of curves y^2 = (x+1)(x^2+c) for c=-0.5,...,0.5 | |
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The Mandelbrot Fractal: For complex c, the recursion z[n+1] = z[n]^2 + c; f(z) = exp(-Mod(z)) is plotted for n=1,2,...,20, with z[0] = 0+0i. |
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| The Swendsen-Wang algorithm (right) mixes faster than the Gibbs sampler (left) for sampling the (attraction parameter 0.9) | |
| (first 12000 of 50000 particles on a 400 x 400 grid within radius 200)听 |
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