From 6394b418f1c74350b37cf1e5778b5b5be5f72983 Mon Sep 17 00:00:00 2001
From: Zheyuan Wu <60459821+Trance-0@users.noreply.github.com>
Date: Sat, 14 Jun 2025 16:27:52 -0500
Subject: [PATCH] Update Math401_T1.md

---
 pages/Math401/Math401_T1.md | 4 +++-
 1 file changed, 3 insertions(+), 1 deletion(-)

diff --git a/pages/Math401/Math401_T1.md b/pages/Math401/Math401_T1.md
index 0611df0..3a3fc1e 100644
--- a/pages/Math401/Math401_T1.md
+++ b/pages/Math401/Math401_T1.md
@@ -6,4 +6,6 @@
 
 Define picking a random number from the interval $[0,1]$ form the uniform probability distribution.
 
-As a function $f:[0,1]\to S$, where $S$ is the space of potential outcomes of a random phenomenon. (Note, this definition inverts the axis of "probability" and "event" so that we can apply the measure theory to probability theory. Before, we define the probability of an event as a function $P:S\to [0,1]$, where $S\in A$ and $\int_A P(x)dx=1$.)
\ No newline at end of file
+As a function $f:[0,1]\to S$, where $S$ is the space of potential outcomes of a random phenomenon. (Note, this definition inverts the axis of "probability" and "event" so that we can apply the measure theory to probability theory. Before, we define the probability of an event as a function $P:S\to [0,1]$, where $S\in A$ and $\int_A P(x)dx=1$.)
+
+$\ket{1}= \begin{pmatrix} 1 \\ 0 \end{pmatrix}$ is a vector in a Hilbert space.
\ No newline at end of file