From e21201631b435a70c7c8766ee9f9a7026b3ff742 Mon Sep 17 00:00:00 2001 From: Mark Date: Sun, 29 Oct 2023 19:00:59 -0700 Subject: [PATCH] Minor typos --- Advanced/Continued Fractions/main.tex | 3 ++- Advanced/Continued Fractions/parts/01 part A.tex | 4 ++-- 2 files changed, 4 insertions(+), 3 deletions(-) diff --git a/Advanced/Continued Fractions/main.tex b/Advanced/Continued Fractions/main.tex index 64ca4b0..4f3b677 100755 --- a/Advanced/Continued Fractions/main.tex +++ b/Advanced/Continued Fractions/main.tex @@ -3,7 +3,8 @@ \documentclass[ solutions, shortwarning, - singlenumbering + singlenumbering, + unfinished ]{../../resources/ormc_handout} \usepackage{../../resources/macros} diff --git a/Advanced/Continued Fractions/parts/01 part A.tex b/Advanced/Continued Fractions/parts/01 part A.tex index f480857..9843452 100644 --- a/Advanced/Continued Fractions/parts/01 part A.tex +++ b/Advanced/Continued Fractions/parts/01 part A.tex @@ -7,7 +7,7 @@ A \textit{finite continued fraction} is an expression of the form \[ a_0 + \cfrac{1}{a_1+\cfrac{1}{a_2 + \cfrac{1}{a_3 + ... + \cfrac{1}{a_{k-1} + \cfrac{1}{a_k}}}}} \] -where $a_0, a_1, ..., a_k$ are all in $\mathbb{Z}^+$. +where $a_0, a_1, ..., a_k$ are all in $\mathbb{Z}^+_0$. We'll denote this as $[a_0, a_1, ..., a_k]$. @@ -77,7 +77,7 @@ An \textit{infinite continued fraction} is an expression of the form \[ a_0 + \cfrac{1}{a_1+\cfrac{1}{a_2 + \cfrac{1}{a_3 + \cfrac{1}{a_4 + ...}}}} \] -where $a_0, a_1, a_2, ...$ are in $\mathbb{Z}^+$. +where $a_0, a_1, a_2, ...$ are in $\mathbb{Z}^+_0$. To prove that this expression actually makes sense and equals a finite number is beyond the scope of this worksheet, so we assume it for now. This is denoted $[a_0, a_1, a_2, ...]$.