Expand knowledge base

1 files changed, 5 insertions, 4 deletions

diff --git a/content/know/concept/legendre-transform/index.pdc b/content/know/concept/legendre-transform/index.pdc
index 290a89a..9cb6824 100644
--- a/content/know/concept/legendre-transform/index.pdc
+++ b/content/know/concept/legendre-transform/index.pdc
@@ -27,9 +27,9 @@ $$\begin{aligned}
     y(x) = f'(x_0) (x - x_0) + f(x_0) = f'(x_0) x - C
 \end{aligned}$$
 
-The Legendre transform $L(f')$ is defined such that $L(f'(x_0)) = C$ (or
-sometimes $-C$ instead) for all $x_0 \in [a, b]$, where $C$ is the
-constant corresponding to the tangent line at $x = x_0$. This yields:
+The Legendre transform $L(f')$ is defined such that $L(f'(x_0)) = C$
+(or sometimes $-C$) for all $x_0 \in [a, b]$,
+where $C$ corresponds to the tangent line at $x = x_0$. This yields:
 
 $$\begin{aligned}
     L(f'(x)) = f'(x) \: x - f(x)
@@ -85,7 +85,8 @@ $$\begin{aligned}
 \end{aligned}$$
 
 Legendre transformation is important in physics,
-since it connects Lagrangian and Hamiltonian mechanics to each other.
+since it connects [Lagrangian](/know/concept/lagrangian-mechanics/)
+and Hamiltonian mechanics to each other.
 It is also used to convert between thermodynamic potentials.