From ed5d1327ec9cc939871a2f7bc10de5725cf36aef Mon Sep 17 00:00:00 2001
From: kociumba <79542688+kociumba@users.noreply.github.com>
Date: Tue, 3 Sep 2024 01:23:42 +0200
Subject: [PATCH] update to make github render the notes

---
 notes.md | 7 +++----
 1 file changed, 3 insertions(+), 4 deletions(-)

diff --git a/notes.md b/notes.md
index 199cf3f..e9f46f9 100644
--- a/notes.md
+++ b/notes.md
@@ -26,10 +26,9 @@ $$f(x) = 100 \tanh(kx)$$
 $$f(x) = \frac{100x}{\sqrt{1 + kx^2}}$$
 
 **Piecewise Smoothing:**
-$$f(x) = \begin{cases}
-\frac{x}{(1 + (\frac{x}{100})^n)^{\frac{1}{n}}} & \text{if } x > 0 \
--\frac{-x}{(1 + (\frac{-x}{100})^n)^{\frac{1}{n}}} & \text{if } x \leq 0
-\end{cases}$$
+$$f(x) = \frac{x}{(1 + (\frac{x}{100})^n)^{\frac{1}{n}}} \text{ if } x > 0$$
+
+$$f(x) = -\frac{-x}{(1 + (\frac{-x}{100})^n)^{\frac{1}{n}}} \text{ if } x \leq 0$$
 
 Where $k$ and $n$ are adjustable parameters controlling the steepness of the function.