> For the complete documentation index, see [llms.txt](https://balancer-dao.gitbook.io/learn-about-balancer/llms.txt). Markdown versions of documentation pages are available by appending `.md` to page URLs; this page is available as [Markdown](https://balancer-dao.gitbook.io/learn-about-balancer/fundamentals/white-paper/deposits-and-withdrawals/deposits/single-sided-deposits.md).

# Single Sided Deposits

How does a single sided deposit work?

The pool tokens issued to a depositor of a single asset can be determined by utilizing the change in the value function (invariant) of the pool. As seen in the [whitepaper](https://balancer.fi/whitepaper.pdf) the ratio of the change in the value function will yield the number of tokens issued. This information will become even more important when discussing multi-asset deposits:

![](https://1883099587-files.gitbook.io/~/files/v0/b/gitbook-x-prod.appspot.com/o/spaces%2FZjjyawYFIHU1QE6T7Y7j%2Fuploads%2Fgit-blob-4856298bf6f585cd5c86c47d4aa08243db38ad6b%2FScreen%20Shot%202022-04-03%20at%208.44.47%20PM.png?alt=media)

This can be simplified for our purpose of a single sided deposit where all other tokens in a pool maintain constant balances. The token which we are investing into a pool will be denoted with the letter “t”. Amount in (At), Balance-In (Bt), Weight-In (Wt) and the pool token supply will be the variables in concern. When simplified the equation is as follows:

$$
P\_{issued}=P\_{supply} \* \Bigg(\bigg(1+ {\frac {A\_{t}}{B\_{t}}} \bigg)^{W\_{t}}-1 \Bigg)
$$