import numpy as np
import matplotlib.pyplot as plt

# 设置参数
A = 1.0    # 基准强度
k = 0.5    # 衰减系数
delta_max = 10.0  # 最大距离
num_points = 100  # 计算点数

# 生成 delta 值
delta = np.linspace(0, delta_max, num_points)

# 计算 lambda(delta)
lambda_delta = A * np.exp(-k * delta)

# 绘制 lambda(delta) 曲线
plt.figure(figsize=(10, 6))
plt.plot(delta, lambda_delta, label=r'$\lambda(\delta) = A e^{-k \delta}$')
plt.title('Execution Intensity as a Function of Distance')
plt.xlabel(r'Distance $\delta$')
plt.ylabel(r'Intensity $\lambda(\delta)$')
plt.legend()
plt.grid(True)
plt.show()