“In the Kissing-Place of Souls, Spiritual and Mathematical Insights with a Meditation on Song of Solomon 1:2,3”
Description
This script generates and analyzes data representing various dimensions of human experience, ranging from emotional and spiritual phenomena to sensory perception and abstract concepts like eternity and timelessness. Let's break down the description: 1. Eternal Love: The plot displays the intensity of love over time, represented by a sinusoidal function with an added constant term. It reflects the fluctuating nature of love, characterized by peaks and troughs. Statistical analysis provides insights into the mean intensity of love and its standard deviation, offering measures of centrality and dispersion in the data. 2. Transcendence: This plot illustrates the concept of transcendence over time, calculated as the cumulative sum of love intensity multiplied by a sinusoidal function representing spiritual alignment. Statistical analysis reveals the mean level of transcendence and its variability, shedding light on the overall trend and variability in the data. 3. Sensuality and Passion: The graph depicts the intensity of sensory experience related to sensuality and passion over time, incorporating both periodic oscillations and random fluctuations. Statistical measures such as mean intensity and standard deviation quantify the average level and variability of sensory experience throughout the observed period. 4. Sanctuary and Refuge: This plot represents the intensity of sanctuary and refuge over time, modeled using a sigmoid function that transitions from low to high values over a specified threshold. Statistical analysis offers insights into the average intensity and variability of sanctuary and refuge, providing a quantitative understanding of the temporal dynamics of these phenomena. 5. Communion of Souls: The plot illustrates the concept of communion among individuals' love intensities over time, calculated as the mean intensity across multiple individuals. Statistical measures highlight the average level and variability of communion among souls, reflecting the collective experience of interconnectedness and unity. 6. Imagery of Eternity and Timelessness: This three-dimensional surface plot visualizes the intensity of imagery related to eternity and timelessness across spatial coordinates, showcasing a gradient of values that symbolize the abstract nature of these concepts. Statistical analysis offers insights into the mean intensity and variability of imagery associated with eternity and timelessness, providing quantitative descriptors of the spatial distribution of these phenomena.
Files
Steps to reproduce
import numpy as np import matplotlib.pyplot as plt from mpl_toolkits.mplot3d import Axes3D # Generate time values t = np.linspace(0, 10, 100) # Define parameters for Eternal Love A = 1.5 omega = 2 * np.pi / 10 L_infty = 3 # Calculate love intensity over time L = A * np.sin(omega * t) + L_infty # Assume spiritual alignment for Transcendence S = np.sin(2 * np.pi * t / 10) # Calculate transcendence T = np.cumsum(L * S) * (t[1] - t[0]) # Numerical integration using cumulative sum # Simulate sensory experience intensity for Sensuality and Passion Sensuality_Passion = np.sin(2 * np.pi * t / 10) + np.random.normal(0, 0.5, size=len(t)) # Define sigmoid function for Sanctuary and Refuge def sigmoid(x, k=1, t0=5): return 1 / (1 + np.exp(-k * (x - t0))) # Calculate refuge intensity Refuge = sigmoid(t) # Assume love intensity of individuals for Communion of Souls N = 5 # Number of individuals L_individuals = np.random.rand(N, len(t)) Communion = np.mean(L_individuals, axis=0) # Generate 2D grid of spatial coordinates for Imagery of Eternity and Timelessness x = np.linspace(-10, 10, 100) y = np.linspace(-10, 10, 100) X, Y = np.meshgrid(x, y) # Calculate eternity and timelessness intensity Eternity_Timelessness = X**2 + Y**2 # Plotting fig, axs = plt.subplots(3, 2, figsize=(15, 15)) # Eternal Love plot axs[0, 0].plot(t, L, color='blue') axs[0, 0].set_title('Eternal Love: Love Intensity over Time') axs[0, 0].set_xlabel('Time') axs[0, 0].set_ylabel('Love Intensity') axs[0, 1].plot(t, T, color='green') axs[0, 1].set_title('Transcendence over Time') axs[0, 1].set_xlabel('Time') axs[0, 1].set_ylabel('Transcendence') axs[1, 0].plot(t, Sensuality_Passion, color='red') axs[1, 0].set_title('Sensuality and Passion: Sensory Experience Intensity over Time') axs[1, 0].set_xlabel('Time') axs[1, 0].set_ylabel('Intensity') axs[1, 1].plot(t, Refuge, color='purple') axs[1, 1].set_title('Sanctuary and Refuge: Intensity over Time') axs[1, 1].set_xlabel('Time') axs[1, 1].set_ylabel('Intensity') axs[2, 0].plot(t, Communion, color='orange') axs[2, 0].set_title('Communion of Souls over Time') axs[2, 0].set_xlabel('Time') axs[2, 0].set_ylabel('Communion') ax = fig.add_subplot(3, 2, 6, projection='3d') ax.plot_surface(X, Y, Eternity_Timelessness, cmap='plasma') ax.set_title('Imagery of Eternity and Timelessness') ax.set_xlabel('X') ax.set_ylabel('Y') ax.set_zlabel('Intensity') plt.tight_layout() plt.show() mean_love_intensity = np.mean(L) std_love_intensity = np.std(L) mean_transcendence = np.mean(T) std_transcendence = np.std(T) mean_sensuality_passion = np.mean(Sensuality_Passion) std_sensuality_passion = np.std(Sensuality_Passion) mean_refuge_intensity = np.mean(Refuge) std_refuge_intensity = np.std(Refuge) mean_communion_intensity = np.mean(Communion) std_communion_intensity = np.std(Communion) mean_eternity_timelessness = np.mean(Eternity_Timelessness) std_eternity_timelessness = np.std(Eternity_Timelessness)