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February 27, 2026 02:33
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Untitled22.ipynb
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| { | |
| "nbformat": 4, | |
| "nbformat_minor": 0, | |
| "metadata": { | |
| "colab": { | |
| "provenance": [], | |
| "authorship_tag": "ABX9TyO0JArSxNDXaeGMplQndwEp", | |
| "include_colab_link": true | |
| }, | |
| "kernelspec": { | |
| "name": "python3", | |
| "display_name": "Python 3" | |
| }, | |
| "language_info": { | |
| "name": "python" | |
| } | |
| }, | |
| "cells": [ | |
| { | |
| "cell_type": "markdown", | |
| "metadata": { | |
| "id": "view-in-github", | |
| "colab_type": "text" | |
| }, | |
| "source": [ | |
| "<a href=\"https://colab.research.google.com/gist/mmore500/81afc29e96610dbedd8d33ae312d1bc7/untitled22.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "source": [ | |
| "from matplotlib import pyplot as plt\n", | |
| "import numpy as np" | |
| ], | |
| "metadata": { | |
| "id": "EnaB2IXlyPG3" | |
| }, | |
| "execution_count": 6, | |
| "outputs": [] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 45, | |
| "metadata": { | |
| "id": "LNNuIZO3x_9H" | |
| }, | |
| "outputs": [], | |
| "source": [ | |
| "def power(S: np.array, p: float) -> float:\n", | |
| " return (S.sum() ** p) / (S.size ** p)\n" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "source": [ | |
| "def power_prod(S: np.array, p: float) -> float:\n", | |
| " return (np.prod(S) ** p)\n" | |
| ], | |
| "metadata": { | |
| "id": "aQ10cR1T6vSZ" | |
| }, | |
| "execution_count": 55, | |
| "outputs": [] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "source": [ | |
| "def exp(S: np.array, k: float) -> float:\n", | |
| " return 1 - np.exp(k * S.sum())" | |
| ], | |
| "metadata": { | |
| "id": "qyB0vh_xzRmJ" | |
| }, | |
| "execution_count": 52, | |
| "outputs": [] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "source": [ | |
| "x_coords = np.linspace(0, 1, 50)\n", | |
| "y_coords = np.linspace(0, 1, 50)\n", | |
| "\n", | |
| "# Create a meshgrid from the coordinate arrays\n", | |
| "X, Y = np.meshgrid(x_coords, y_coords)\n", | |
| "\n", | |
| "fig, axes = plt.subplots(1, 4, figsize=(4 * 2, 2))\n", | |
| "\n", | |
| "# Choose a value for k for the exp function.\n", | |
| "# Using k = -1.0 to ensure the outcomes are typically within a 0-1 range.\n", | |
| "for i, (ax, k_val) in enumerate(zip(axes, [-0.5, -1.0, -2])):\n", | |
| "\n", | |
| " # Vectorize the existing 'exp' function to apply it element-wise across the meshgrid.\n", | |
| " # The 'exp' function expects an np.array 'S' and sums its elements.\n", | |
| " # For each point (x, y) in the meshgrid, we interpret 'S' as np.array([x, y]),\n", | |
| " # so 'S.sum()' becomes 'x + y'.\n", | |
| " vectorized_exp_func = np.vectorize(lambda x_val, y_val, k: exp(np.array([x_val, y_val]), k))\n", | |
| "\n", | |
| " # Apply the vectorized exp function to the meshgrid to get the matrix of outcomes\n", | |
| " matrix_exp_outcomes = vectorized_exp_func(X, Y, k_val)\n", | |
| "\n", | |
| " im = ax.imshow(matrix_exp_outcomes, origin='lower', extent=[0, 1, 0, 1], cmap='viridis', vmin=0, vmax=1)\n", | |
| " ax.set_title('$S = 1-e^{-k(S_1 + S_2)}$\\n' + f'$k={k_val}$')\n", | |
| " ax.set_xlabel('$S_1$')\n", | |
| " ax.set_xticks([0, 0.25, 0.5, 0.75, 1])\n", | |
| " if i == 0:\n", | |
| " ax.set_ylabel('$S_2$')\n", | |
| " ax.set_yticks([0, 0.25, 0.5, 0.75, 1])\n", | |
| " else:\n", | |
| " ax.set_yticks([])\n", | |
| " plt.grid(False)\n", | |
| "\n", | |
| " # Add contour lines for evenly spaced values\n", | |
| " levels = np.linspace(0, 1, 11) # 10 evenly spaced levels\n", | |
| " ax.contour(X, Y, matrix_exp_outcomes, levels=levels, colors='white', alpha=0.7)\n", | |
| "\n", | |
| "plt.axis('off')\n", | |
| "axes[-1].set_title(\"Exponential\")\n", | |
| "plt.gcf().colorbar(im, ax=axes[-1]).set_label(\"Susceptibility\")\n" | |
| ], | |
| "metadata": { | |
| "colab": { | |
| "base_uri": "https://localhost:8080/", | |
| "height": 263 | |
| }, | |
| "id": "bpiFyflp0D_7", | |
| "outputId": "9607c7cb-f221-4147-fd95-4f31aec7acfd" | |
| }, | |
| "execution_count": 63, | |
| "outputs": [ | |
| { | |
| "output_type": "display_data", | |
| "data": { | |
| "text/plain": [ | |
| "<Figure size 800x200 with 5 Axes>" | |
| ], | |
| "image/png": 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\n" | |
| }, | |
| "metadata": {} | |
| } | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "source": [ | |
| "x_coords = np.linspace(0, 1, 50)\n", | |
| "y_coords = np.linspace(0, 1, 50)\n", | |
| "\n", | |
| "# Create a meshgrid from the coordinate arrays\n", | |
| "X, Y = np.meshgrid(x_coords, y_coords)\n", | |
| "\n", | |
| "fig, axes = plt.subplots(1, 4, figsize=(4 * 2, 2))\n", | |
| "\n", | |
| "# Choose a value for k for the exp function.\n", | |
| "# Using k = -1.0 to ensure the outcomes are typically within a 0-1 range.\n", | |
| "for i, (ax, p_val) in enumerate(zip(axes, [0.5, 1.0, 2])):\n", | |
| "\n", | |
| " # Vectorize the existing 'exp' function to apply it element-wise across the meshgrid.\n", | |
| " # The 'exp' function expects an np.array 'S' and sums its elements.\n", | |
| " # For each point (x, y) in the meshgrid, we interpret 'S' as np.array([x, y]),\n", | |
| " # so 'S.sum()' becomes 'x + y'.\n", | |
| " vectorized_exp_func = np.vectorize(lambda x_val, y_val, k: power(np.array([x_val, y_val]), k))\n", | |
| "\n", | |
| " # Apply the vectorized exp function to the meshgrid to get the matrix of outcomes\n", | |
| " matrix_exp_outcomes = vectorized_exp_func(X, Y, p_val)\n", | |
| "\n", | |
| " im = ax.imshow(matrix_exp_outcomes, origin='lower', extent=[0, 1, 0, 1], cmap='viridis', vmin=0, vmax=1)\n", | |
| " ax.set_title('$S = \\\\frac{(S_1 + S_2)^p}{2^p}$\\n' + f'$p={p_val}$')\n", | |
| " ax.set_xlabel('$S_1$')\n", | |
| " ax.set_xticks([0, 0.25, 0.5, 0.75, 1])\n", | |
| " if i == 0:\n", | |
| " ax.set_ylabel('$S_2$')\n", | |
| " ax.set_yticks([0, 0.25, 0.5, 0.75, 1])\n", | |
| " else:\n", | |
| " ax.set_yticks([])\n", | |
| " plt.grid(False)\n", | |
| "\n", | |
| " # Add contour lines for evenly spaced values\n", | |
| " levels = np.linspace(0, 1, 11) # 10 evenly spaced levels\n", | |
| " ax.contour(X, Y, matrix_exp_outcomes, levels=levels, colors='white', alpha=0.7)\n", | |
| "\n", | |
| "plt.axis('off')\n", | |
| "axes[-1].set_title(\"Additive Power\")\n", | |
| "plt.gcf().colorbar(im, ax=axes[-1]).set_label(\"Susceptibility\")\n" | |
| ], | |
| "metadata": { | |
| "colab": { | |
| "base_uri": "https://localhost:8080/", | |
| "height": 275 | |
| }, | |
| "id": "q8BCqdJt54MF", | |
| "outputId": "617515fb-97c3-487a-a7f6-8ebe2f921fbc" | |
| }, | |
| "execution_count": 62, | |
| "outputs": [ | |
| { | |
| "output_type": "display_data", | |
| "data": { | |
| "text/plain": [ | |
| "<Figure size 800x200 with 5 Axes>" | |
| ], | |
| "image/png": 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\n" | |
| }, | |
| "metadata": {} | |
| } | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "source": [], | |
| "metadata": { | |
| "id": "RdqaaS596SW0" | |
| }, | |
| "execution_count": null, | |
| "outputs": [] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "source": [ | |
| "x_coords = np.linspace(0, 1, 50)\n", | |
| "y_coords = np.linspace(0, 1, 50)\n", | |
| "\n", | |
| "# Create a meshgrid from the coordinate arrays\n", | |
| "X, Y = np.meshgrid(x_coords, y_coords)\n", | |
| "\n", | |
| "fig, axes = plt.subplots(1, 4, figsize=(4 * 2, 2))\n", | |
| "\n", | |
| "# Choose a value for k for the exp function.\n", | |
| "# Using k = -1.0 to ensure the outcomes are typically within a 0-1 range.\n", | |
| "for i, (ax, p_val) in enumerate(zip(axes, [0.5, 1.0, 2])):\n", | |
| "\n", | |
| " # Vectorize the existing 'exp' function to apply it element-wise across the meshgrid.\n", | |
| " # The 'exp' function expects an np.array 'S' and sums its elements.\n", | |
| " # For each point (x, y) in the meshgrid, we interpret 'S' as np.array([x, y]),\n", | |
| " # so 'S.sum()' becomes 'x + y'.\n", | |
| " vectorized_exp_func = np.vectorize(lambda x_val, y_val, k: power_prod(np.array([x_val, y_val]), k))\n", | |
| "\n", | |
| " # Apply the vectorized exp function to the meshgrid to get the matrix of outcomes\n", | |
| " matrix_exp_outcomes = vectorized_exp_func(X, Y, p_val)\n", | |
| "\n", | |
| " im = ax.imshow(matrix_exp_outcomes, origin='lower', extent=[0, 1, 0, 1], cmap='viridis', vmin=0, vmax=1)\n", | |
| " ax.set_title('$S = (S_1 * S_2)^p$\\n' + f'$p={p_val}$')\n", | |
| " ax.set_xlabel('$S_1$')\n", | |
| " ax.set_xticks([0, 0.25, 0.5, 0.75, 1])\n", | |
| " if i == 0:\n", | |
| " ax.set_ylabel('$S_2$')\n", | |
| " ax.set_yticks([0, 0.25, 0.5, 0.75, 1])\n", | |
| " else:\n", | |
| " ax.set_yticks([])\n", | |
| " plt.grid(False)\n", | |
| "\n", | |
| " # Add contour lines for evenly spaced values\n", | |
| " levels = np.linspace(0, 1, 11) # 10 evenly spaced levels\n", | |
| " ax.contour(X, Y, matrix_exp_outcomes, levels=levels, colors='white', alpha=0.7)\n", | |
| "\n", | |
| "plt.axis('off')\n", | |
| "plt.gcf().colorbar(im, ax=axes[-1]).set_label(\"Susceptibility\")\n", | |
| "axes[-1].set_title(\"Multiplicative Power\")\n" | |
| ], | |
| "metadata": { | |
| "colab": { | |
| "base_uri": "https://localhost:8080/", | |
| "height": 281 | |
| }, | |
| "id": "N4pHNEiQ6lgr", | |
| "outputId": "ad8caf0c-5194-4aa0-90ec-ff2820dadb94" | |
| }, | |
| "execution_count": 64, | |
| "outputs": [ | |
| { | |
| "output_type": "execute_result", | |
| "data": { | |
| "text/plain": [ | |
| "Text(0.5, 1.0, 'Multiplicative Power')" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "execution_count": 64 | |
| }, | |
| { | |
| "output_type": "display_data", | |
| "data": { | |
| "text/plain": [ | |
| "<Figure size 800x200 with 5 Axes>" | |
| ], | |
| "image/png": 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\n" | |
| }, | |
| "metadata": {} | |
| } | |
| ] | |
| } | |
| ] | |
| } |
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