[python] Cosine Similarity between 2 Number Lists

without using any imports

math.sqrt(x)

can be replaced with

x** .5

without using numpy.dot() you have to create your own dot function using list comprehension:

def dot(A,B): 
    return (sum(a*b for a,b in zip(A,B)))

and then its just a simple matter of applying the cosine similarity formula:

def cosine_similarity(a,b):
    return dot(a,b) / ( (dot(a,a) **.5) * (dot(b,b) ** .5) )

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