diff --git a/Advanced/Introduction to Quantum/parts/00 vectors.tex b/Advanced/Introduction to Quantum/parts/00 vectors.tex index 71f6708..3d4b6f3 100644 --- a/Advanced/Introduction to Quantum/parts/00 vectors.tex +++ b/Advanced/Introduction to Quantum/parts/00 vectors.tex @@ -8,9 +8,9 @@ For example, $\left[\begin{smallmatrix} 1 \\ 3 \\ 2 \end{smallmatrix}\right]$ is \definition{Euclidean norm} The length of an $n$-dimensional vector $v$ is computed as follows: \begin{equation*} - |v| = \sqrt{v_0^2 +v_1^2 + ... + v_n^2} + |v| = \sqrt{v_1^2 + ... + v_n^2} \end{equation*} -Where $v_0$ through $v_n$ represent individual components of this vector. For example, +Where $v_1$ through $v_n$ represent individual components of this vector. For example, \begin{equation*} \left|\left[\begin{smallmatrix} 1 \\ 3 \\ 2 \end{smallmatrix}\right]\right| = \sqrt{1^2 + 3^2 + 2^2} = \sqrt{14} \end{equation*}