From b7ec4953cc048177bc0ab4f8e0dd9554d0730fac Mon Sep 17 00:00:00 2001 From: Matthijs Kooijman Date: Mon, 14 Dec 2009 13:58:00 +0100 Subject: [PATCH] Remove duplicate summations. --- christiaan/dotproduct.lhs | 8 ++++---- 1 file changed, 4 insertions(+), 4 deletions(-) diff --git a/christiaan/dotproduct.lhs b/christiaan/dotproduct.lhs index 4d25f72..a49c262 100644 --- a/christiaan/dotproduct.lhs +++ b/christiaan/dotproduct.lhs @@ -17,7 +17,7 @@ y = \overrightarrow x \bullet \overrightarrow h \] \[ - \overrightarrow x \bullet \overrightarrow h = \sum\nolimits_{i = 1}^n {a_1 \cdot b_1 + a_2 \cdot b_2 + \ldots + a_n \cdot b_n } + \overrightarrow x \bullet \overrightarrow h = {a_1 \cdot b_1 + a_2 \cdot b_2 + \ldots + a_n \cdot b_n } \] \end{frame} \note[itemize]{ @@ -30,7 +30,7 @@ \begin{itemize} \item Two steps to define: \\ \[ - \overrightarrow x \bullet \overrightarrow h = \sum\nolimits_{i = 1}^n {a_1 \cdot b_1 + a_2 \cdot b_2 + \ldots + a_n \cdot b_n } + \overrightarrow x \bullet \overrightarrow h = {a_1 \cdot b_1 + a_2 \cdot b_2 + \ldots + a_n \cdot b_n } \] \begin{itemize} \item \emph{Pairwise Multiplication}: \\ @@ -57,7 +57,7 @@ \begin{itemize} \item Two steps to define: \\ \[ - \overrightarrow x \bullet \overrightarrow h = \sum\nolimits_{i = 1}^n {a_1 \cdot b_1 + a_2 \cdot b_2 + \ldots + a_n \cdot b_n } + \overrightarrow x \bullet \overrightarrow h = {a_1 \cdot b_1 + a_2 \cdot b_2 + \ldots + a_n \cdot b_n } \] \begin{itemize} \item \emph{Combine the two}: \\ @@ -70,4 +70,4 @@ \note[itemize]{ \item Samen vormen deze operaties dus het inproduct. \item Next sheet: code FIR filter -} \ No newline at end of file +} -- 2.30.2