From: Matthijs Kooijman Date: Mon, 14 Dec 2009 12:58:00 +0000 (+0100) Subject: Remove duplicate summations. X-Git-Url: https://git.stderr.nl/gitweb?a=commitdiff_plain;h=b7ec4953cc048177bc0ab4f8e0dd9554d0730fac;hp=9246a7cdb2a903798eb1719cbd6df1753ee61ee9;p=matthijs%2Fmaster-project%2Ffinal-presentation.git Remove duplicate summations. --- 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 +}