# Invariant Curve

With the above definition in mind, Wombat’s invariant curve is defined as follows:

$\sum{L_x (r_x - \frac{A}{r_x})} = D$

$rₓ$

= coverage ratio of token x$A$

= amplification factor During a swap, the right-hand side of the invariant remains constant.

The invariant has some favorable properties, including:

- The number of assets in a pool is unlimited. One can add and remove assets on the fly.
- The weight of assets is flexible. A protocol can emit more rewards to a token in the pool with higher buy pressure to selectively deepen liquidity.
- Users can provide single-sided liquidity.

For the main pool, we use A = 0.002, and it would be revised on a needed basis.