X-Git-Url: https://hackdaworld.org/gitweb/?p=lectures%2Flatex.git;a=blobdiff_plain;f=physics_compact%2Fmath.tex;h=57aef07a8f9e51c8a0ea126dbc1c08f5c51febee;hp=83e13cbe04cabe9e8b2e1c127427c9b72ca51035;hb=5898b999f5d72857fa765fd544262e7c0104042e;hpb=52293c68b82f2108ec3346435de0561e0236e466

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}