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Update dot product

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Ryan 2025-01-08 20:22:19 +08:00
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@ -43,7 +43,7 @@
- Cos close to 0: orthogonal, not related - Cos close to 0: orthogonal, not related
- Cos close to -1: opposite - Cos close to -1: opposite
- Calculation: - Calculation:
$Similarity(A,B) = cos(\theta) = \frac{A \dot B}{||A||\times||b||}$ $Similarity(A,B) = cos(\theta) = \frac{A \cdot B}{||A||\times||b||}$
- $\theta$ is the angle between vectors - $\theta$ is the angle between vectors
- $A \dot B$ is the dot product, $A_1 B_1 + A_2 B_2 + ... + A_n B_n$ - $A \dot B$ is the dot product, $A_1 B_1 + A_2 B_2 + ... + A_n B_n$
- $||A||$ is the magnitude of vector, - $||A||$ is the magnitude of vector,