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Minor typos

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Mark 2023-10-29 19:00:59 -07:00
parent a1dec5ecdc
commit e21201631b
Signed by: Mark
GPG Key ID: AD62BB059C2AAEE4
2 changed files with 4 additions and 3 deletions
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3
Advanced/Continued Fractions/main.tex
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@ -3,7 +3,8 @@
\documentclass[ \documentclass[
solutions, solutions,
shortwarning, shortwarning,
singlenumbering singlenumbering,
unfinished
]{../../resources/ormc_handout} ]{../../resources/ormc_handout}
\usepackage{../../resources/macros} \usepackage{../../resources/macros}

4
Advanced/Continued Fractions/parts/01 part A.tex
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@ -7,7 +7,7 @@ A \textit{finite continued fraction} is an expression of the form
\[ \[
a_0 + \cfrac{1}{a_1+\cfrac{1}{a_2 + \cfrac{1}{a_3 + ... + \cfrac{1}{a_{k-1} + \cfrac{1}{a_k}}}}} a_0 + \cfrac{1}{a_1+\cfrac{1}{a_2 + \cfrac{1}{a_3 + ... + \cfrac{1}{a_{k-1} + \cfrac{1}{a_k}}}}}
\] \]
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 $[a_0, a_1, ..., a_k]$. 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
\[ \[
a_0 + \cfrac{1}{a_1+\cfrac{1}{a_2 + \cfrac{1}{a_3 + \cfrac{1}{a_4 + ...}}}} a_0 + \cfrac{1}{a_1+\cfrac{1}{a_2 + \cfrac{1}{a_3 + \cfrac{1}{a_4 + ...}}}}
\] \]
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 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. is beyond the scope of this worksheet, so we assume it for now.
This is denoted $[a_0, a_1, a_2, ...]$. This is denoted $[a_0, a_1, a_2, ...]$.