\documentstyle[fullpage,fancyheadings]{article} \pagestyle{fancy} % Requires fancyheadings style \begin{document} % J Language Summary % March 23rd, 1992 by Christopher B. Browne % Ottawa, Ontario % This file may be freely redistributed. % Changes/Corrections ought to be sent to Christopher Browne % at either: cbbrowne@csi.uottawa.ca, or aa454@freenet.carleton.ca % \lhead, \rhead, \lfoot, \rfoot require fancyheadings.sty % The LaTeX book describes how the headers can be set/reset, but % does NOT have equivalent commands to do footers. TeX allows it, % but there aren't any appropriate commands in LATEX.TEX. And % hacking them in would be FAR nastier than the "hack" of requiring % fancyheadings.sty \lhead{J Language Reference} \rhead{Version 6.2} \lfoot{March 23, 1993} \rfoot{by Christopher B. Browne} \eject % As suggested by LJ Dickey % Short forms for common macros \def\bs{\backslash} % Only used once for the prefix/infix operator \def\df{\dotfill} % Fill space with dots \def\na{$\not\exists$} % Unimplemented function - i.e. Does not exist \def\pc{\df {\sf PC}} % IBM PC only \begin{table}[h] \caption{Vocabulary List} \begin{center} \begin{tabular}{||l|c|c|c|r||} \hline \hline OP & OP $y$ \df $x$ OP $y$ & OP. $y$ \df $x$ OP. $y$ & OP: $y$ \df $x$ OP: $y$ & Page \\ \hline = & $y=y^{t}$ \df $x=y$ & Is (Local) \df & Is (Global) \df & 71 \\ $<$ & $\Box y$ \df $<$ & $\lfloor x\rfloor$ \df $\min{}$ & $y--$ \df $x \leq y$ & 71 \\ $>$ & Open $\Box$ \df $>$ & $\lceil x \rceil$ \df $\max{}$ & $y++$\df $x \geq y$ & 72 \\ \_ & $-y$ \df $\infty$ & Indeterminate \df \na & $\infty$ \df & 72 \\ + & $\bar{y}$ \df $x+y$ & Real/Imag \df GCD (Or) & $2 y$ \df NOR & 73 \\ $\star$ & $sgn(y)$ \df $x \times y$ & Polar \df LCM (And) & $y^2$ \df NAND & 73 \\ $-$ & $-y$ \df $x-y$ & Not (1-) \df Less & $y/2$ \df Match & 73 \\ \% & $\frac{1}{y}$ \df $x/y$ & Mat $y^{-1}$ \df Mat $x\div y$ & $\sqrt{y}$ \df $\sqrt[x]{y}$ & 74 \\ \^{} & $e^y$ \df $x^y$ & $\ln{x}$ \df $\log_{x}{y}$ & \df $x^{y}(z)$ \df Chain & 75 \\ \$ & Shape \df Shape & Suite \df & Self-Reference \df & 75 \\ \~{} & Both \df Cross & Nub \df & Nub Sieve \df Not-Equal & 76 \\ $|$ & $|y|$ \df $y (\hbox{mod} x)$ & Reverse \df Rotate $y$ by $x$ & $y^{T}$ \df Axis Transpose & 77 \\ . & $\det{y}$ \df $x \cdot y$ & \df Even & \df Odd & 78 \\ : & \df Explicit Def'n & \df Obverse & \df Adverse & 78 \\ , & Ravel \df Append & Ravel \df Items & Itemize \df Laminate & 80 \\ ; & Raze \df Link & \df Cut (;.3, ;.\_3 \na) & Formation \df & 81 \\ \# & Tally \df Copy & $y_{2}$ \df $y${Base}$_{x}$ & Antibase 2 \df Antibase & 83 \\ ! & $y!$ \df $\left( x \atop y \right)$ & Customize \df & \df Foreign & 84 \\ / & Insert \df Table & Oblique \df Key & Grade Up \df Sort & 84 \\ $\bs$ & Prefix \df Infix & Suffix \df Outfix & Grade Down \df Sort & 86 \\ $[$ & Same \df Left & Lev \df & Same \df & 87 \\ $]$ & Same \df Right & Dex \df & Same \df & 87 \\ \{ & Catalog \df From & Head \df Take & Tail \df & 88 \\ \} & Amend \df & Behead \df Drop & Curtail \df & 88 \\ " & \df Rank & Do \df Do Left If Error & \df Format & 89 \\ ` & \df Gerund & \df & \df Evoke Gerund & 91 \\ @ & \df Atop & \df Agenda & \df At & 91 \\ \& & Bond \df Compose & \df Under (Dual) & \df Appose & 91 \\ ? & Roll \df Deal & & & 92 \\ \hline \end{tabular} \end{center} \end{table} \begin{table}[h] \caption{Special vocabulary} \begin{center} \begin{tabular}{||c|l||c|l|c||l|r||} \hline \hline OP & Description & OP & Description & OP & Description & Page \\ \hline $)$ & Label \df & a. & Alphabet \df & A. & Atomic Permute \df & 92 \\ b. & Boolean \df & c. & Characteristic \df \na \df & C. & Cycle-Direct \df Permute & 93 \\ e. & Raze In \df Member (In) & E. & \df Member of Interval & f. & Fix \df & 95, 96 \\ i. & Integers \df Index Of & j. & Imaginary \df Complex & NB. & Comment \df & 96 \\ o. & $\pi \times y$ \df Circular fun. & p. & Polynomial \df $P_{x}(y)$ \df \na & r. & Angle \df Complex & 96, 97 \\ x. & Left Argument \df & y. & Right Argument \df & 0: & Zero \df & 97 \\ 1: & One \df & D. & $\frac{d^{n}F(x)}{dx^{n}}$ \df & & & 97 \\ \hline \end{tabular} \end{center} \end{table} \begin{table}[h] \caption{Circular/Hyperbolic/Pythagorean Functions} \begin{center} \begin{tabular}{||r|l|r|l||} \hline $k$ & Function & $k$ & Function \\ \hline 0 & $\frac{1}{1 - y^{2}}$ & 9 & $ \frac{y + \bar{y}}{2}$ \\ 1 & $\sin{y}$ & 10 & $ | y | $ \\ 2 & $\cos{y}$ & 11 & $ \frac{y - \bar{y}}{(0,2)} $ \\ 3 & $\tan{y}$ & 12 & $ \ln{e^{y}}/(0,1)$ \\ 4 & $\frac{1}{1+y^{2}}$ & \_$k$ & $k o.^{-1} y$ \\ 5 & $\sinh{y}$ & \_1 & $ \arcsin{y} $ \\ 6 & $\cosh{y}$ & \_4 & $ \sqrt{1+y^{2}}$ \\ 7 & $\tanh{y}$ & \_9 & $y$ \\ 8 & $\sqrt{-1-y^{2}}$ & \_10 & $\bar{y}$ \\ \hline \end{tabular} \end{center} \end{table} Where trigonometric arguments are always in radians.\\ E.g: {\tt 3 o. 3.1415926 0 7.8539816} $= (\tan{\pi}, \tan{0}, \tan{ \frac{5} {2} \pi}) = (0, 0, -\infty)$ \begin{table}[h] \caption{Foreign Conjunctions} \begin{center} \begin{tabular}{||r|l||r|l||r|l||} \hline Conj. & Description & Conj. & Description & Conj. & Description \\ \hline 0!:0 & Host & 2!:55 & WS Erase Object & 7!:2 & Space to Execute \\ 0!:1 & Host (No Result) & 3!:0 & Internal Type & 8!:0 & Qry CGA Mode \pc \\ 0!:2 & Script & 3!:1 & To Internal Rep & 8!:1 & Set CGA Mode \pc \\ 0!:3 & Silent Script & 3!:2 & From Internal Rep & 8!:4 & Qry Screen Attr \pc \\ 0!:4 & Lines & 4!:0 & Name Class & 8!:5 & Set Screen Attr \pc \\ 0!:5 & Silent Lines & 4!:1 & Name List & 8!:7 & Refresh Screen \pc \\ 0!:55 & Terminate Session & 4!:55 & Erase & 8!:9 & Edit \pc \\ 1!:1 & File Read & 4!:56 & Erase Given Name & 9!:0 & Qry Random Link \\ 1!:2 & File Write & 5!:0 & Fix & 9!:1 & Set Random Link \\ 1!:3 & File Append & 5!:1 & Atomic Rep & 9!:2 & Qry Display Reps \\ 1!:4 & File Size & 5!:2 & Display Rep & 9!:3 & Set Display Reps \\ 1!:11 & File Indexed Read & 5!:3 & String Rep & 9!:4 & Qry Prompt \\ 1!:12 & File Indexed Write & 5!:4 & Tree Rep & 9!:5 & Set Prompt \\ 1!:55 & File Erase & 5!:5 & Linear Rep & 9!:6 & Qry Box Chars \\ 2!:0 & WS Name Class & 6!:0 & Time Now & 9!:7 & Set Box Chars \\ 2!:1 & WS Name List & 6!:1 & Time Since Start & 9!:8 & Qry Error Msgs \\ 2!:2 & WS Save & 6!:2 & Time to Execute & 9!:9 & Set Error Msgs \\ 2!:3 & WS PSave & 6!:3 & Delay & 10!:k & (LinkJ) C Function \\ 2!:4 & WS Copy & 7!:0 & Space Now & 128!:0 & QR Decomposition \\ 2!:5 & WS PCopy & 7!:1 & Space Since Start & 128!:1 & Invert matrix \\ \hline \end{tabular} \end{center} \end{table} %\begin{table}[h] %\caption{Alternative Spellings} % \begin{center} % \begin{tabular}{||c|c|c|c||c|c|c|c||} % \hline \hline % Char & & . & : & Char & & . & : \\ \hline % @ & AT. & AT1. & AT2. & \# & NO. & NO1. & NO2. \\ % $\bs$ & BS. & BS1. & BS2. & $]$ & RB. & RB1. & RB2. \\ % \^{} & CA. & CA1. & CA2. & $\}$ & RC. & RC1. & RC2. \\ % ` & GR. & GR1. & GR2. & \$ & SH. & SH1. & SH2. \\ % $[$ & LB. & LB1. & LB2. & $|$ & ST. & ST1. & ST2. \\ % $\{$ & LC. & LC1. & LC2. & \~{} & TI. & TI1. & TI2. \\ % \hline \hline % \end{tabular} % \end{center} %\end{table} \end{document}