> For the complete documentation index, see [llms.txt](https://docs.wombat.exchange/llms.txt). Markdown versions of documentation pages are available by appending `.md` to page URLs; this page is available as [Markdown](https://docs.wombat.exchange/concepts/invariant-curve.md).

# 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.

### Dynamic Pool

Dynamic pool supports tokens with distinct prices, as supplied by external price oracles, the invariant curve is defined as follows:

$$
\sum{L\_xp\_x (r\_x - \frac{A}{r\_x})} = D
$$

$$p\_x$$ = oracle price of token x

More details could be found [here](/concepts/dynamic-pool.md)