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e9a8441a7b Add "Bugs on a Log"
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2026-02-15 10:43:47 -08:00
629a03944b fix typos (#30)
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Reviewed-on: #30
2026-02-15 10:42:45 -08:00
5 changed files with 20 additions and 3 deletions

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@@ -230,7 +230,7 @@ The \textit{tensor product} of two vectors is defined as follows:
That is, we take our first vector, multiply the second That is, we take our first vector, multiply the second
vector by each of its components, and stack the result. vector by each of its components, and stack the result.
You could think of this as a generalization of scalar You could think of this as a generalization of scalar
mulitiplication, where scalar mulitiplication is a multiplication, where scalar multiplication is a
tensor product with a vector in $\mathbb{R}^1$: tensor product with a vector in $\mathbb{R}^1$:
\begin{equation*} \begin{equation*}
a a

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@@ -251,7 +251,7 @@ What is it, and what is its color? \par
\textbf{Part 4:} \textbf{Part 4:}
The promoted black bishop on H2 must have been promoted on G1. The pawn which was promoted must have come from G7, The promoted black bishop on H2 must have been promoted on G1. The pawn which was promoted must have come from G7,
since neither of the pawns from F6 or H6 could make a capture to get to the G-file (all six missing white pieces have been accouted for). since neither of the pawns from F6 or H6 could make a capture to get to the G-file (all six missing white pieces have been accounted for).
The Pawn from E7 has promoted to the bishop on A2. The Pawn from E7 has promoted to the bishop on A2.
What happened was this: the white pawn from G2 made its capture on H3 while the pawn on G3 was still on H2. This allowed the black pawn What happened was this: the white pawn from G2 made its capture on H3 while the pawn on G3 was still on H2. This allowed the black pawn

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@@ -331,7 +331,7 @@
representing all four cubes. \\ representing all four cubes. \\
\begin{center} \begin{small} \begin{center} \begin{small}
\begin{tikzpicture} \label{pic:II_comfiguration} \begin{tikzpicture} \label{pic:II_configuration}
\filldraw [blue] (0,5) -- (1,5) -- (1,6) -- \filldraw [blue] (0,5) -- (1,5) -- (1,6) --
(0,6) -- (0,5); (0,6) -- (0,5);
\draw [line width = 1.5pt] (0,5) -- \draw [line width = 1.5pt] (0,5) --

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@@ -0,0 +1,11 @@
#import "@local/handout:0.1.0": *
#show: handout.with(
title: [Warm-Up: Bugs on a Log],
by: "Mark",
)
#problem()
2013 bugs are on a meter-long line. Each walks to the left or right at a constant speed. \
If two bugs meet, both turn around and continue walking in opposite directions. \
What is the longest time it could take for all the bugs to walk off the end of the log?

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@@ -0,0 +1,6 @@
[metadata]
title = "Bugs on a Log"
[publish]
handout = true
solutions = true