Weighted Math is designed to allow for swaps between any assets whether or not they have any price correlation. Prices are determined by the pool balances, pool weights, and amounts of the tokens that are being swapped.
Balancer's Weighted Math equation is a generalization of the
constant product formula, accounting for cases with
tokens as well as weightings that are not an even 50/50 split.
The value function
is defined as:
ranges over the tokens in the pool
is the balance of the token in the pool
is the normalized weight of the tokens, such that the sum of all normalized weights is 1.