diff --git a/Notebook_Week_0.ipynb b/Notebook_Week_0.ipynb
index 20a90b6..143a4e7 100644
--- a/Notebook_Week_0.ipynb
+++ b/Notebook_Week_0.ipynb
@@ -1044,13 +1044,13 @@
     "\n",
     "Let's now imagine we have two qubits A and B. We will imagine that Alice holds qubit A and Bob holds qubit B. Evidently we might imagine that Alice measures her qubit in a basis... and also Bob could measure his qubit in a basis. What can we say about the overall measurement? \n",
     "\n",
-    "Let's consider the example where Alice measures in the in the standard basis\n",
+    "Let's consider the example where Alice measures in the standard basis\n",
     "\n",
     "$$ |0\\rangle_A = |0\\rangle \\\\ |1\\rangle_A = |1\\rangle$$\n",
     "\n",
-    "and Bob measures in in a \"$\\pi/8$ rotated\" basis:\n",
+    "and Bob measures in a \"$\\pi/8$ rotated\" basis:\n",
     "\n",
-    "$$ |0_L\\rangle_B = cos \\frac{\\pi}{8} |0\\rangle + sin\\frac{\\pi}{8} |1\\rangle \\\\ |1_L\\rangle_B = -sin\\frac{\\pi}{8} |0\\rangle + cos \\frac{\\pi}{8} |1\\rangle$$\n",
+    "$$ |0_L\\rangle_B = \cos \\frac{\\pi}{8} |0\\rangle + \sin\\frac{\\pi}{8} |1\\rangle \\\\ |1_L\\rangle_B = -\sin\\frac{\\pi}{8} |0\\rangle + \cos \\frac{\\pi}{8} |1\\rangle$$\n",
     "\n",
     "To see how this is a \"$\\pi/8$ rotated\" basis consider the following picture, where we will actually plot the basis of Alice and Bob into the same plot even though they are of course on two different qubits.\n",
     "\n",