Annular Distance

The annular distance algorithm calculates the distance between the query vector and each vector in the database, using the annular distance metric. The annular distance is a measure of the distance between two vectors, and it can be calculated using the following formula:

annular distance = sqrt(||a - b||^2 + ||a||^2 * ||b||^2)

where ||a - b|| is the Euclidean distance between the two vectors, and ||a|| and ||b|| are the magnitudes of the two vectors.

The annular distance algorithm works by calculating the Euclidean distance between the query vector and each vector in the database, and then adding the product of the magnitudes of the vectors. The most similar vectors are the ones with the smallest annular distance.