Johndcook iconJohndcookSep 15, 2026

Simple approximation for spherical cap area

The previous post looked at how to interpret cosine similarity, or equivalently angles between word vectors. In a high-dimensional space, randomly chosen vectors are likely nearly perpendicular, and so relatively large angles, such as 50°, indicate very closely related words.

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The previous post looked at how to interpret cosine similarity, or equivalently angles between word vectors.

In a high-dimensional space, randomly chosen vectors are likely nearly perpendicular, and so relatively large angles, such as 50°, indicate very closely related words.

Another way to look at this, as explained in the previous post, is that in […] The post Simple approximation for spherical cap area first appeared on John D.

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The previous post looked at how to interpret cosine similarity, or equivalently angles between word vectors. In a high-dimensional space, randomly chosen vectors are likely nearly perpendicular, and so relatively large angles, such as 50°, indicate very closely related words. Another way to look at this, as explained in the previous post, is that in […] The post Simple approximation for spherical cap area first appeared on John D.

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