21 lines
655 B
Python
21 lines
655 B
Python
import math
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A = [1, 2, 3]
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B = [4, 5, 6]
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dot_product = A[0]*B[0] + A[1]*B[1] + A[2]*B[2]
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print("A·B =", dot_product)
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norm_A = math.sqrt(A[0]**2 + A[1]**2 + A[2]**2)
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norm_B = math.sqrt(B[0]**2 + B[1]**2 + B[2]**2)
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cos_sim = dot_product / (norm_A * norm_B)
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print("余弦相似度 =", cos_sim)
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A2 = [1, 0]
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B2 = [0, 1]
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dot_product2 = A2[0]*B2[0] + A2[1]*B2[1]
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norm_A2 = math.sqrt(A2[0]**2 + A2[1]**2)
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norm_B2 = math.sqrt(B2[0]**2 + B2[1]**2)
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cos_sim2 = dot_product2 / (norm_A2 * norm_B2)
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print("A=[1,0]与B=[0,1]的余弦相似度 =", cos_sim2)
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print("原因：两个向量正交（垂直），方向完全不同，点积为0，所以余弦相似度为0") |