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      "source": [
        "\n# Logit scale\n\nExamples of plots with logit axes.\n"
      ]
    },
    {
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      "source": [
        "import math\n\nimport matplotlib.pyplot as plt\nimport numpy as np\n\nxmax = 10\nx = np.linspace(-xmax, xmax, 10000)\ncdf_norm = [math.erf(w / np.sqrt(2)) / 2 + 1 / 2 for w in x]\ncdf_laplacian = np.where(x < 0, 1 / 2 * np.exp(x), 1 - 1 / 2 * np.exp(-x))\ncdf_cauchy = np.arctan(x) / np.pi + 1 / 2\n\nfig, axs = plt.subplots(nrows=3, ncols=2, figsize=(6.4, 8.5))\n\n# Common part, for the example, we will do the same plots on all graphs\nfor i in range(3):\n    for j in range(2):\n        axs[i, j].plot(x, cdf_norm, label=r\"$\\mathcal{N}$\")\n        axs[i, j].plot(x, cdf_laplacian, label=r\"$\\mathcal{L}$\")\n        axs[i, j].plot(x, cdf_cauchy, label=\"Cauchy\")\n        axs[i, j].legend()\n        axs[i, j].grid()\n\n# First line, logitscale, with standard notation\naxs[0, 0].set(title=\"logit scale\")\naxs[0, 0].set_yscale(\"logit\")\naxs[0, 0].set_ylim(1e-5, 1 - 1e-5)\n\naxs[0, 1].set(title=\"logit scale\")\naxs[0, 1].set_yscale(\"logit\")\naxs[0, 1].set_xlim(0, xmax)\naxs[0, 1].set_ylim(0.8, 1 - 5e-3)\n\n# Second line, logitscale, with survival notation (with `use_overline`), and\n# other format display 1/2\naxs[1, 0].set(title=\"logit scale\")\naxs[1, 0].set_yscale(\"logit\", one_half=\"1/2\", use_overline=True)\naxs[1, 0].set_ylim(1e-5, 1 - 1e-5)\n\naxs[1, 1].set(title=\"logit scale\")\naxs[1, 1].set_yscale(\"logit\", one_half=\"1/2\", use_overline=True)\naxs[1, 1].set_xlim(0, xmax)\naxs[1, 1].set_ylim(0.8, 1 - 5e-3)\n\n# Third line, linear scale\naxs[2, 0].set(title=\"linear scale\")\naxs[2, 0].set_ylim(0, 1)\n\naxs[2, 1].set(title=\"linear scale\")\naxs[2, 1].set_xlim(0, xmax)\naxs[2, 1].set_ylim(0.8, 1)\n\nfig.tight_layout()\nplt.show()"
      ]
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