<jupyter_start><jupyter_text><jupyter_code># First Python Notebook Project<jupyter_output><empty_output><jupyter_text>-The simple code to implement italicized text New Section We will define a funtion of $\phi(x) = \frac{1}{\sqrt{2\pi}}e^{-\frac{x^2}{2}}$<jupyter_code>import numpy as np

def phi(x):
  out = 1./np.sqrt(2.*np.pi)*np.exp(-x**2/2.)
  return out
phi(2)
import matplotlib.pyplot as plt
%matplotlib inline
x_cod = np.linspace(-5,5,200)
y_cod = phi(x_cod)
plt.plot(x_cod, y_cod)
x_cod<jupyter_output><empty_output>
{'fraction_non_alphanumeric': 0.16, 'fraction_numerical': 0.02666666666666667, 'mean_word_length': 6.205479452054795, 'pattern_counts': {'":': 0, '<': 9, '<?xml version=': 0, '>': 9, 'https://': 0, 'lorem ipsum': 0, 'www.': 0, 'xml': 0}, 'pii_count': 0, 'substrings_counts': 0, 'word_list_counts': {'cursed_substrings.json': 0, 'profanity_word_list.json': 0, 'sexual_word_list.json': 0, 'zh_pornsignals.json': 0}}
{'chain_length': '2', 'dir': 'jupyter-structured-clean-dedup', 'id': '7780', 'license': 'MIT', 'n_tokens_mistral': 227, 'n_tokens_neox': 222, 'n_words': 44, 'path': 'src/prj01.ipynb', 'repo_name': 'G750cloud/20MA573', 'size': '525'}