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Apr 21, 2024 05:03 AM
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growth
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The difference between a consistent small compound change and small decay over time is this:

notion image

Marcus Aurelius in The Meditation:

Generated from ChatGPT
Generated from ChatGPT
  1. On Growth: "The impediment to action advances action. What stands in the way becomes the way."
  1. On Decay: "You could leave life right now. Let that determine what you do and say and think."
  1. On Happiness: "Very little is needed to make a happy life; it is all within yourself, in your way of thinking."
  1. On Being Yourself: "Waste no more time arguing about what a good man should be. Be one."
  1. On Perseverance: "You have power over your mind - not outside events. Realize this, and you will find strength."

Following is the code to plot the graph:
import numpy as np import matplotlib.pyplot as plt # The red curve represents the function f(x) = 1.01^x # The blue curve represents the function g(x) = 0.99^x * 1000 # Let's define the x range based on the image observation x = np.linspace(0, 700, 400) # Now we define the functions f_x = 1.01**x g_x = 0.99**x * 1000 # Plotting the functions plt.figure(figsize=(10, 6)) # Plot each function plt.plot(x, f_x, 'r-', label='1.01^x') # Red curve plt.plot(x, g_x, 'b-', label='0.99^x * 1000') # Blue curve # Adding legend plt.legend() # Display the plot plt.xlabel('x') plt.ylabel('y') plt.suptitle('The Power of Compound Changes', fontsize=16) plt.title('Exponential Growth Meets Exponential Decay', fontsize=10) plt.grid(False) plt.show()