{ "cells": [ { "cell_type": "code", "execution_count": 12, "id": "622297f9-ad38-4574-ba74-2f2a85b82802", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "\n", "# -----------------------------\n", "# Symmetrical left-bending function\n", "# y = 10 * (x/10)**0.5\n", "# -----------------------------\n", "x = np.linspace(0, 10, 300)\n", "y = 10 * (x / 10)**0.5 # k = 0.5 creates a symmetric left bend\n", "\n", "plt.figure(figsize=(6,4))\n", "plt.plot(x, y, linewidth=2)\n", "\n", "plt.xlim(0, 10)\n", "plt.ylim(0, 10)\n", "\n", "plt.xlabel(\"X-axis\")\n", "plt.ylabel(\"Y-axis\")\n", "plt.title(\"Symmetrical Left-Bending Curve from (0,0) to (10,10)\")\n", "\n", "plt.grid(True)\n", "plt.show()\n" ] }, { "cell_type": "code", "execution_count": 13, "id": "d03e0233-10ad-48f4-9973-1881c9c4ab83", "metadata": {}, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "\n", "# -------------------------\n", "# Generate x ranges\n", "# -------------------------\n", "x_up = np.linspace(0, 10, 300) # for profitable curves\n", "x_down = np.linspace(0, 10, 300) # for unprofitable curves\n", "\n", "# -----------------------------------------\n", "# 1. INSANE – upward curve, open left (0,0)->(10,10)\n", "# y = 10 * (x/10)**k with k < 1 (concave up)\n", "# -----------------------------------------\n", "y_insane = 10 * (x_up / 10)**0.3\n", "\n", "\n", "# -----------------------------------------\n", "# 2. DECENT – downward curve, open right (0,0)->(10,10)\n", "# y = 10 * (x/10)**k with k > 1 (convex)\n", "# -----------------------------------------\n", "y_decent = 10 * (x_up / 10)**2 \n", "\n", "\n", "# -----------------------------------------\n", "# 3. GOOD – linear profitable (0,0)->(10,10)\n", "# -----------------------------------------\n", "y_good = x_up \n", "\n", "\n", "# -----------------------------------------\n", "# 4. FLAT – rise then flatten at y=5\n", "# (0,0)->(~5,5) then stays flat\n", "# -----------------------------------------\n", "y_flat = np.where(x_up < 5, 5 * (x_up / 5)**0.7, 5)\n", "\n", "\n", "# -----------------------------------------\n", "# 5. BAD – linear downward (0,10)->(10,0)\n", "# -----------------------------------------\n", "y_bad = 10 - x_down\n", "\n", "\n", "# -----------------------------------------\n", "# 6. WORSE – curved downward open left (0,10)->(10,0)\n", "# y = 10 * (1 - (x/10)**0.3)\n", "# -----------------------------------------\n", "y_worse = 10 * (1 - (x_down / 10)**0.3)\n", "\n", "\n", "# -----------------------------------------\n", "# 7. OKAY – downward curve open right (0,10)->(10,0)\n", "# y = 10 * (1 - (x/10)**2)\n", "# -----------------------------------------\n", "y_okay = 10 * (1 - (x_down / 10)**2)\n", "\n", "\n", "# -------------------------\n", "# Plotting\n", "# -------------------------\n", "labels = [\"INSANE\", \"DECENT\", \"GOOD\", \"FLAT\", \"BAD\", \"WORSE\", \"OKAY\"]\n", "ys = [y_insane, y_decent, y_good, y_flat, y_bad, y_worse, y_okay]\n", "\n", "plt.figure(figsize=(22, 3))\n", "\n", "for i, y in enumerate(ys):\n", " plt.subplot(1, 7, i+1)\n", " plt.plot(x_up, y, linewidth=2)\n", " plt.title(labels[i])\n", " plt.xlim(0, 10)\n", " plt.ylim(0, 10)\n", " plt.xticks([])\n", " plt.yticks([])\n", " plt.grid(True)\n", "\n", "plt.tight_layout()\n", "plt.show()\n" ] }, { "cell_type": "code", "execution_count": 14, "id": "822adfa6-02b7-4dcf-9b37-a3110ed301f7", "metadata": {}, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "\n", "# -------------------------\n", "# Generate x ranges\n", "# -------------------------\n", "x_up = np.linspace(0, 10, 300)\n", "x_down = np.linspace(0, 10, 300)\n", "\n", "# ============================================================\n", "# SWAPPED SHAPES:\n", "# INSANE <-> DECENT\n", "# WORSE <-> OKAY\n", "# ============================================================\n", "\n", "# -----------------------------------------\n", "# 1. INSANE (now using former DECENT shape)\n", "# curved downward, open right\n", "# -----------------------------------------\n", "y_insane = 10 * (x_up / 10)**2 \n", "\n", "\n", "# -----------------------------------------\n", "# 2. DECENT (now using former INSANE shape)\n", "# curved upward, open left\n", "# -----------------------------------------\n", "y_decent = 10 * (x_up / 10)**0.3 \n", "\n", "\n", "# -----------------------------------------\n", "# 3. GOOD – linear profitable (0,0)->(10,10)\n", "# -----------------------------------------\n", "y_good = x_up \n", "\n", "\n", "# -----------------------------------------\n", "# 4. FLAT – rises then flattens at y=5\n", "# -----------------------------------------\n", "y_flat = np.where(x_up < 5, 5 * (x_up / 5)**0.7, 5)\n", "\n", "\n", "# -----------------------------------------\n", "# 5. BAD – linear downward (0,10)->(10,0)\n", "# -----------------------------------------\n", "y_bad = 10 - x_down\n", "\n", "\n", "# -----------------------------------------\n", "# 6. WORSE (now using former OKAY shape)\n", "# downward curve open right\n", "# -----------------------------------------\n", "y_worse = 10 * (1 - (x_down / 10)**2)\n", "\n", "\n", "# -----------------------------------------\n", "# 7. OKAY (now using former WORSE shape)\n", "# downward curve open left\n", "# -----------------------------------------\n", "y_okay = 10 * (1 - (x_down / 10)**0.3)\n", "\n", "\n", "# -------------------------\n", "# Plotting\n", "# -------------------------\n", "labels = [\"INSANE\", \"DECENT\", \"GOOD\", \"FLAT\", \"BAD\", \"WORSE\", \"OKAY\"]\n", "ys = [y_insane, y_decent, y_good, y_flat, y_bad, y_worse, y_okay]\n", "\n", "plt.figure(figsize=(22, 3))\n", "\n", "for i, y in enumerate(ys):\n", " plt.subplot(1, 7, i+1)\n", " plt.plot(x_up, y, linewidth=2)\n", " plt.title(labels[i])\n", " plt.xlim(0, 10)\n", " plt.ylim(0, 10)\n", " plt.xticks([])\n", " plt.yticks([])\n", " plt.grid(True)\n", "\n", "plt.tight_layout()\n", "plt.show()\n" ] }, { "cell_type": "code", "execution_count": 15, "id": "0bf5282c-c65a-47d0-b98b-1ac7b5a94825", "metadata": {}, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "\n", "# -------------------------\n", "# Generate x ranges\n", "# -------------------------\n", "x_up = np.linspace(0, 10, 300)\n", "x_down = np.linspace(0, 10, 300)\n", "\n", "# ============================================================\n", "# SWAPPED SHAPES:\n", "# INSANE <-> DECENT\n", "# WORSE <-> OKAY\n", "# ============================================================\n", "\n", "# -----------------------------------------\n", "# 1. INSANE (former DECENT shape)\n", "# -----------------------------------------\n", "y_insane = 10 * (x_up / 10)**2 \n", "\n", "# -----------------------------------------\n", "# 2. DECENT (former INSANE shape)\n", "# -----------------------------------------\n", "y_decent = 10 * (x_up / 10)**0.3 \n", "\n", "# -----------------------------------------\n", "# 3. GOOD – linear profitable\n", "# -----------------------------------------\n", "y_good = x_up \n", "\n", "# -----------------------------------------\n", "# 4. FLAT – rise to y=5 then flat\n", "# -----------------------------------------\n", "y_flat = np.where(x_up < 5, 5 * (x_up / 5)**0.7, 5)\n", "\n", "# -----------------------------------------\n", "# 5. BAD – linear downward\n", "# -----------------------------------------\n", "y_bad = 10 - x_down\n", "\n", "# -----------------------------------------\n", "# 6. WORSE – (former OKAY shape)\n", "# -----------------------------------------\n", "y_worse = 10 * (1 - (x_down / 10)**2)\n", "\n", "# -----------------------------------------\n", "# 7. OKAY – (former WORSE shape)\n", "# -----------------------------------------\n", "y_okay = 10 * (1 - (x_down / 10)**0.3)\n", "\n", "# -------------------------\n", "# Plotting\n", "# -------------------------\n", "labels = [\"INSANE\", \"DECENT\", \"GOOD\", \"FLAT\", \"BAD\", \"WORSE\", \"OKAY\"]\n", "ys = [y_insane, y_decent, y_good, y_flat, y_bad, y_worse, y_okay]\n", "\n", "plt.figure(figsize=(24, 3))\n", "\n", "for i, y in enumerate(ys):\n", " ax = plt.subplot(1, 7, i+1)\n", " ax.plot(x_up, y, linewidth=2)\n", "\n", " # Remove borders / spines\n", " for spine in [\"top\", \"right\", \"left\"]:\n", " ax.spines[spine].set_visible(False)\n", "\n", " # Only x- and y-axis lines remain\n", " ax.spines[\"bottom\"].set_linewidth(1)\n", " ax.spines[\"left\"].set_linewidth(1)\n", "\n", " # Set axis limits\n", " ax.set_xlim(0, 10)\n", " ax.set_ylim(0, 10)\n", "\n", " # Add bottom title\n", " ax.set_xlabel(labels[i], fontsize=10)\n", "\n", " # Show only x and y axis ticks\n", " ax.set_xticks([0, 5, 10])\n", " ax.set_yticks([0, 5, 10])\n", "\n", " # Add number inside the plot\n", " ax.text(0.5, 0.9, str(i+1),\n", " transform=ax.transAxes,\n", " ha='center', va='center',\n", " fontsize=14, fontweight='bold')\n", "\n", " ax.grid(False)\n", "\n", "plt.tight_layout()\n", "plt.show()\n" ] }, { "cell_type": "code", "execution_count": null, "id": "647cf0f6-bd18-4cb4-ba2e-d0cfc2f73f12", "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.13.9" } }, "nbformat": 4, "nbformat_minor": 5 }