diff options
Diffstat (limited to 'src/lp.rs')
| -rw-r--r-- | src/lp.rs | 13 |
1 files changed, 10 insertions, 3 deletions
@@ -1,4 +1,4 @@ -//! [L<sup>p</sup> spaces](https://en.wikipedia.org/wiki/Lp_space). +//! [`$L^p$` spaces](https://en.wikipedia.org/wiki/Lp_space). use crate::coords::Coordinates; @@ -25,9 +25,16 @@ pub use crate::chebyshev::Chebyshev as Linf; /// Compute the L<sup>∞</sup> distance between two points. pub use crate::chebyshev::chebyshev_distance as linf_distance; -/// Compute the [L<sup>p</sup> distance] between two points. +/// Compute the [`$L^p$` distance] between two points. /// -/// [L<sup>p</sup> distance]: https://en.wikipedia.org/wiki/Lp_space +/// ```math +/// \begin{aligned} +/// \mathrm{lp\_distance}(p, x, y) &= \|x - y\|_p \\ +/// &= \left( \sum_i |x_i - y_i|^p \right)^{1/p} +/// \end{aligned} +/// ``` +/// +/// [`$L^p$` distance]: https://en.wikipedia.org/wiki/Lp_space pub fn lp_distance<T, U>(p: T::Value, x: T, y: U) -> T::Value where T: Coordinates, |