[OS X TeX] Long Division redux

Alain Schremmer Schremmer.Alain at gmail.com
Thu Dec 29 23:42:27 CET 2005


McGarry Vince wrote:

> Carsten Heinz's polynom.sty works well for me.

I had to try it right now but, alas, it does not divide in ascending 
powers which is about two out of three divisions I have to do. (See 
template below.)

Regards
--Schremmer


> On Dec 29, 2005, at 12:53 PM, Alain Schremmer wrote:
>
>> I once appealed to this list for help setting up long divisions. I  
>> remember not using Arseneau's longdiv, for whatever reason, but  
>> someone gave me some code which I have been using ever since.
>>
>> Now I want to set up long divisions for polynomials. I was able to  
>> fudge what I had but I have the strong feeling that I am defeating  
>> the code that was given to me and I don't understand it enough to  
>> adapt it.
>>
>> I wonder if, as mostly a matter of esthetics, someone might be  
>> williing to do so.
>>
>> Below is the template that I am using, in the form of a document,  
>> should anyone be interested by the exercise.
>>
>> Regards for the New Year
>> --schremmer
>>
>> \documentclass[11pt]{book}
>> \begin{document}
>>
>> \begin{center}
>> \newdimen\digitwidth \settowidth\digitwidth{0}
>> \def~{\hspace{\digitwidth}}
>> \def\divrule#1#2{%
>> \noalign{\moveright#1\digitwidth%
>> \vbox{\hrule width#2\digitwidth}}}
>> %This is the divisor
>>            $0$
>>            $+0h$
>>            $+0h^{2}$
>>            $+0h^{3}$
>>                \hspace{0mm}
>>        \begin{tabular}[b]{@{}l@{}}
>> %This is the quotient (Its length controls the line.)
>>                \hspace{5mm}
>>            $0$
>>                \hspace{5mm}
>>            $+0h$
>>                \hspace{5mm}
>>            $+0h^{2}$
>>                \hspace{5mm}
>>            $+0h^{3}$
>>            \\
>>            \hline
>>        \big)
>>        \begin{tabular}[t]{@{}l@{}l@{}}
>> %This is the dividend
>>                \hspace{2mm}
>>            $0$
>>                \hspace{5mm}
>>            $+0h$
>>                \hspace{5mm}
>>            $+0h^{2}$
>>                \hspace{5mm}
>>            $+0h^{3}$
>>        \\
>> %This is the first multiplication
>>                \hspace{2mm}
>>            $0$
>>                \hspace{5mm}
>>            $+0h$
>>                \hspace{5mm}
>>            $+0h^{2}$
>>                \hspace{5mm}
>>            $+0h^{3}$
>>           \\
>>           \divrule{0}{30}
>> %This is the first subtraction
>>                \hspace{2mm}
>>            $0$
>>                \hspace{5mm}
>>            $+0h$
>>                \hspace{5mm}
>>            $+0h^{2}$
>>                \hspace{5mm}
>>            $+0h^{3}$
>>           \\
>> %This is the second multiplication
>>                \hspace{2mm}
>>            $ð$
>>                \hspace{7mm}
>>            $+0h$
>>                \hspace{5mm}
>>            $+0h^{2}$
>>                \hspace{5mm}
>>            $+0h^{3}$
>>           \\
>>           \divrule{7}{23}
>> %This is the second subtraction
>>                \hspace{2mm}
>>            $ð$
>>                \hspace{7mm}
>>            $+0h$
>>                \hspace{5mm}
>>            $+0h^{2}$
>>                \hspace{5mm}
>>            $+0h^{3}$
>>           \\
>> %This is the third multiplication
>>                \hspace{6mm}
>>            $ð$
>>                \hspace{10mm}
>>            $ð$
>>                \hspace{5mm}
>>            $+0h^{2}$
>>                \hspace{5mm}
>>            $+0h^{3}$
>>           \\
>>           \divrule{13}{17}
>> %This is the third subtraction
>>                \hspace{8mm}
>>            $ð$
>>                \hspace{8mm}
>>            $ð$
>>                \hspace{5mm}
>>            $+0h^{2}$
>>                \hspace{5mm}
>>            $+0h^{3}$
>>           \\
>> %This is the fourth multiplication
>>                \hspace{10mm}
>>            $ð$
>>                \hspace{10mm}
>>            $ð$
>>                \hspace{10mm}
>>            $ð$
>>                \hspace{5mm}
>>            $+0h^{3}$
>>           \\
>>           \divrule{20}{10}
>> %This is the fourth subtraction
>>                \hspace{10mm}
>>            $ð$
>>                \hspace{10mm}
>>            $ð$
>>                \hspace{10mm}
>>            $ð$
>>                \hspace{5mm}
>>            $+0h^{3}$
>>           \\
>>           \end{tabular}
>>           \end{tabular}
>> \end{center}
>> \end{document}
>>

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