diff --git a/content/physics/harmonic-motion.md b/content/physics/harmonic-motion.md
index d28c064..938b1ea 100644
--- a/content/physics/harmonic-motion.md
+++ b/content/physics/harmonic-motion.md
@@ -288,4 +288,4 @@ $$
 | **One End Closed, One Open**| Node at closed, antinode at open | $L = n \frac{\lambda}{4}$ | $f_n = \frac{n v}{4L}$ | $n = \text{nodes} + \text{antinodes}$ |
 | **Both Ends Open**          | Antinode at both ends        | $L = n \frac{\lambda}{2}$               | $f_n = \frac{n v}{2L}$   | $n = \text{antinodes}$ |
 
-Now the formulas **remain internally consistent with a fixed definition of $ n $** across all cases. Thanks for the patience—I appreciate the push for correctness! 🚀
+Now the formulas **remain internally consistent with a fixed definition of $ n $** across all case.