From e466113d70e9786259b3516b5951771b0706e5d8 Mon Sep 17 00:00:00 2001
From: Tavian Barnes <tavianator@tavianator.com>
Date: Fri, 26 Jun 2020 17:20:22 -0400
Subject: docs: Integrate KaTeX and add some formulas

---
 src/lp.rs | 13 ++++++++++---
 1 file changed, 10 insertions(+), 3 deletions(-)

(limited to 'src/lp.rs')

diff --git a/src/lp.rs b/src/lp.rs
index 80a6f8a..4afd209 100644
--- a/src/lp.rs
+++ b/src/lp.rs
@@ -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,
-- 
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