

import string
from math import logaa


def 	_A  (					A__  ,       A__   ):






 """simple docstring"""



 __lowercase													=				document.translate(
     str.maketrans(''''''  ,       ''''''  ,       string.punctuation   )   ).replace('''\n'''  ,       ''''''   )
 __lowercase													=				document_without_punctuation.split(''' '''   )  # word tokenization
 return len([word for word in tokenize_document if word.lower() == term.lower()]   )


def 	_A  (					A__  ,       A__   ):






 """simple docstring"""



 __lowercase													=				corpus.lower().translate(
     str.maketrans(''''''  ,       ''''''  ,       string.punctuation   )   )  # strip all punctuation and replace it with ''
 __lowercase													=				corpus_without_punctuation.split('''\n'''   )
 __lowercase													=				term.lower()
 return (len([doc for doc in docs if term in doc]   ), len(_A   ))


def 	_A  (					A__  ,       A__  ,       A__=False   ):






 """simple docstring"""



 if smoothing:
  if n == 0:
   raise ValueError('''log10(0) is undefined.'''   )
  return round(1 + logaa(n / (1 + df)   )  ,       3   )

 if df == 0:
  raise ZeroDivisionError('''df must be > 0'''   )
 elif n == 0:
  raise ValueError('''log10(0) is undefined.'''   )
 return round(logaa(n / df   )  ,       3   )






def 	_A  (					A__  ,       A__   ):






 """simple docstring"""



 return round(tf * idf  ,       3   )




'''simple docstring'''






from collections.abc import Callable

import numpy as np


def 	_A  (					A__  ,       A__  ,       A__  ,       A__  ,       A__   ):






 """simple docstring"""



 __lowercase													=				int(np.ceil((x_end - xa) / step_size   )   )
 __lowercase													=				np.zeros((n + 1,)   )
 __lowercase													=				ya
 __lowercase													=				xa

 for k in range(A__   ):
  __lowercase													=				y[k] + step_size * ode_func(A__  ,       y[k]   )
  x += step_size

 return y


if __name__ == "__main__":
 import doctest

 doctest.testmod()

