From: hackbard Date: Sat, 11 Feb 2012 07:10:51 +0000 (+0100) Subject: getting more and more worth, rewrite?!? X-Git-Url: https://hackdaworld.org/gitweb/?a=commitdiff_plain;h=5898b999f5d72857fa765fd544262e7c0104042e;p=lectures%2Flatex.git getting more and more worth, rewrite?!? --- diff --git a/physics_compact/math.tex b/physics_compact/math.tex index 83e13cb..57aef07 100644 --- a/physics_compact/math.tex +++ b/physics_compact/math.tex @@ -12,12 +12,12 @@ A vector $\vec{a}$ of an $N$-dimensional vector space (see \ref{math_app:vector_ \label{eq:vec_sum} \end{equation} i.e., if the basis set is complete, any vector can be written as a linear combination of these basis vectors. -The scalar product for an $N$-dimensional real vector space is defined as +The scalar product in an $N$-dimensional Euclidean vector space is defined as \begin{equation} (\vec{a},\vec{b})=\sum_i^N a_i b_i \text{ ,} \label{eq:vec_sp} \end{equation} -which enables to define a norm +which satisfies the properties of an inner product (see \ref{math_app:product}) and enables to define a norm \begin{equation} ||\vec{a}||=\sqrt{(\vec{a},\vec{a})} \end{equation}