# Curve

The curve is a mathematical function that calculates the swap amount. In Uniswap, the curve is a constant product formula

$x \times y = k$

, which implies $(x + \Delta x) (y + \Delta y) = k$

, thus given $\Delta x$

one can calculate $\Delta y$

and vice versa. In Integral SIZE, the curve is a constant swap function, meaning that it always fills the order at the oracle TWAP price, regardless of order size. Therefore, there is no price impact.

Last modified 11mo ago