From df158c26b952cec2062e87c8484a00e103aee2ca Mon Sep 17 00:00:00 2001 From: Mark Date: Wed, 17 May 2023 12:51:41 -0700 Subject: [PATCH] Added median warm-up --- Misc/Warm-Ups/median.tex | 29 +++++++++++++++++++++++++++++ 1 file changed, 29 insertions(+) create mode 100755 Misc/Warm-Ups/median.tex diff --git a/Misc/Warm-Ups/median.tex b/Misc/Warm-Ups/median.tex new file mode 100755 index 0000000..f8871a5 --- /dev/null +++ b/Misc/Warm-Ups/median.tex @@ -0,0 +1,29 @@ +\documentclass[ + nosolutions, + warning, + singlenumbering, + nopagenumber +]{../../resources/ormc_handout} + +\usepackage[linguistics]{forest} + +\begin{document} + + \maketitle + {Warm-Up: A Familiar Concept} + {Prepared by Mark on \today.} + + + \problem{} + Let $v = [-5, -2, 0, 1, 4, 1000]$. Find all $x$ that minimize the following metric. \par + $$ + \sum_{\forall i} |v_i - x| = |v_1 - x| + |v_2 - x| + ... + |v_6 - x| + $$ + + \vfill + + \problem{} + Let $v = [-5, -2, 0, 1, 4, 1000, 1001]$. Find all $x$ that minimize the metric in \ref{one}. + \vfill + +\end{document} \ No newline at end of file