Add 2010 to copyright years.
[bpt/emacs.git] / etc / refcards / calccard.tex
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1% Reference Card for GNU Emacs Calc 2.02
2%**start of header
3\newcount\columnsperpage
4
5% The format for this file is adapted from the GNU Emacs reference
6% card version 1.9, by Stephen Gildea.
7
8% This file can be printed with 1, 2, or 3 columns per page (see below).
1e73763e 9% Specify how many you want here.
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10
11\columnsperpage=3
12
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13% PDF output layout. 0 for A4, 1 for letter (US), a `l' is added for
14% a landscape layout.
15
16\input pdflayout.sty
17\pdflayout=(1l)
18
19% Nothing else needs to be changed.
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20% Typical command to format: tex calccard.tex
21% Typical command to print (3 cols): dvips -t landscape calccard.dvi
22
bfd6d01a 23% Copyright (C) 1987, 1992, 2001, 2002, 2003, 2004,
114f9c96 24% 2005, 2006, 2007, 2008, 2009, 2010 Free Software Foundation, Inc.
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25
26% This file is part of GNU Emacs.
27
b83446dd 28% GNU Emacs is free software: you can redistribute it and/or modify
38e3e5fe 29% it under the terms of the GNU General Public License as published by
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30% the Free Software Foundation, either version 3 of the License, or
31% (at your option) any later version.
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32
33% GNU Emacs is distributed in the hope that it will be useful,
34% but WITHOUT ANY WARRANTY; without even the implied warranty of
35% MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
36% GNU General Public License for more details.
37
38% You should have received a copy of the GNU General Public License
b83446dd 39% along with GNU Emacs. If not, see <http://www.gnu.org/licenses/>.
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40
41% This file is intended to be processed by plain TeX (TeX82).
42%
43% The final reference card has six columns, three on each side.
44% This file can be used to produce it in any of three ways:
45% 1 column per page
46% produces six separate pages, each of which needs to be reduced to 80%.
47% This gives the best resolution.
48% 2 columns per page
49% produces three already-reduced pages.
50% You will still need to cut and paste.
51% 3 columns per page
52% produces two pages which must be printed sideways to make a
53% ready-to-use 8.5 x 11 inch reference card.
54% For this you need a dvi device driver that can print sideways.
55% Which mode to use is controlled by setting \columnsperpage above.
56%
57% Author (Calc reference card):
58% Dave Gillespie
59% UUCP: uunet!synaptx!daveg
60% Internet: daveg@synaptics.com
61%
62% Author (refcard.tex format):
63% Stephen Gildea
64% UUCP: mit-erl!gildea
65% Internet: gildea@stop.mail-abuse.org
66
c1baf2d1 67\def\emacsversionnumber{23}
f906fb5d 68\def\year{2009} % latest copyright year
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69
70\def\shortcopyrightnotice{\vskip 1ex plus 2 fill
71 \centerline{\small \copyright\ \year\ Free Software Foundation, Inc.
18a56945 72 Permissions on back.}}
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73
74\def\copyrightnotice{
75\vskip 1ex plus 2 fill\begingroup\small
76\centerline{Copyright \copyright\ \year\ Free Software Foundation, Inc.}
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77\centerline{designed by Dave Gillespie and Stephen Gildea,}
78\centerline{for GNU Emacs Calc.}
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79
80Permission is granted to make and distribute copies of
81this card provided the copyright notice and this permission notice
82are preserved on all copies.
83
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84%For copies of the GNU Emacs Calc manual, write to the Free Software
85%Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston,
86%MA 02110-1301, USA.
87%
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88\endgroup}
89
90% make \bye not \outer so that the \def\bye in the \else clause below
91% can be scanned without complaint.
92\def\bye{\par\vfill\supereject\end}
93
94\newdimen\intercolumnskip
95\newbox\columna
96\newbox\columnb
97
98\def\ncolumns{\the\columnsperpage}
99
177c0ea7 100\message{[\ncolumns\space
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101 column\if 1\ncolumns\else s\fi\space per page]}
102
103\def\scaledmag#1{ scaled \magstep #1}
104
105% This multi-way format was designed by Stephen Gildea
106% October 1986.
107\if 1\ncolumns
108 \hsize 4in
109 \vsize 10in
110 \voffset -.7in
111 \font\titlefont=\fontname\tenbf \scaledmag3
112 \font\headingfont=\fontname\tenbf \scaledmag2
113 \font\smallfont=\fontname\sevenrm
114 \font\smallsy=\fontname\sevensy
115
116 \footline{\hss\folio}
117 \def\makefootline{\baselineskip10pt\hsize6.5in\line{\the\footline}}
118\else
119 \hsize 3.2in
120 \vsize 7.95in
121 \hoffset -.75in
122 \voffset -.745in
123 \font\titlefont=cmbx10 \scaledmag2
124 \font\headingfont=cmbx10 \scaledmag1
125 \font\smallfont=cmr6
126 \font\smallsy=cmsy6
127 \font\eightrm=cmr8
128 \font\eightbf=cmbx8
129 \font\eightit=cmti8
130 \font\eighttt=cmtt8
131 \font\eightsy=cmsy8
132 \textfont0=\eightrm
133 \textfont2=\eightsy
134 \def\rm{\eightrm}
135 \def\bf{\eightbf}
136 \def\it{\eightit}
137 \def\tt{\eighttt}
138 \normalbaselineskip=.8\normalbaselineskip
139 \normallineskip=.8\normallineskip
140 \normallineskiplimit=.8\normallineskiplimit
141 \normalbaselines\rm %make definitions take effect
142
143 \if 2\ncolumns
144 \let\maxcolumn=b
145 \footline{\hss\rm\folio\hss}
146 \def\makefootline{\vskip 2in \hsize=6.86in\line{\the\footline}}
147 \else \if 3\ncolumns
148 \let\maxcolumn=c
149 \nopagenumbers
150 \else
151 \errhelp{You must set \columnsperpage equal to 1, 2, or 3.}
152 \errmessage{Illegal number of columns per page}
153 \fi\fi
154
155 \intercolumnskip=.46in
156 \def\abc{a}
157 \output={%
158 % This next line is useful when designing the layout.
159 %\immediate\write16{Column \folio\abc\space starts with \firstmark}
160 \if \maxcolumn\abc \multicolumnformat \global\def\abc{a}
161 \else\if a\abc
162 \global\setbox\columna\columnbox \global\def\abc{b}
163 %% in case we never use \columnb (two-column mode)
164 \global\setbox\columnb\hbox to -\intercolumnskip{}
165 \else
166 \global\setbox\columnb\columnbox \global\def\abc{c}\fi\fi}
167 \def\multicolumnformat{\shipout\vbox{\makeheadline
168 \hbox{\box\columna\hskip\intercolumnskip
169 \box\columnb\hskip\intercolumnskip\columnbox}
170 \makefootline}\advancepageno}
171 \def\columnbox{\leftline{\pagebody}}
172
173 \def\bye{\par\vfill\supereject
174 \if a\abc \else\null\vfill\eject\fi
175 \if a\abc \else\null\vfill\eject\fi
177c0ea7 176 \end}
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177\fi
178
179% we won't be using math mode much, so redefine some of the characters
180% we might want to talk about
181\catcode`\^=12
182\catcode`\_=12
183
184\chardef\\=`\\
185\chardef\{=`\{
186\chardef\}=`\}
187
188\hyphenation{mini-buf-fer}
189
190\parindent 0pt
191\parskip 1ex plus .5ex minus .5ex
192
193\def\small{\smallfont\textfont2=\smallsy\baselineskip=.8\baselineskip}
194
195\outer\def\newcolumn{\vfill\eject}
196
197\outer\def\title#1{{\titlefont\centerline{#1}}\vskip 1ex plus .5ex}
198
199\outer\def\section#1{\par\filbreak
200 \vskip 3ex plus 2ex minus 2ex {\headingfont #1}\mark{#1}%
201 \vskip 2ex plus 1ex minus 1.5ex}
202
203\newdimen\keyindent
204
205\def\beginindentedkeys{\keyindent=1em}
206\def\endindentedkeys{\keyindent=0em}
207\endindentedkeys
208
209\def\paralign{\vskip\parskip\halign}
210
211\def\<#1>{$\langle${\rm #1}$\rangle$}
212
213\def\kbd#1{{\tt#1}\null} %\null so not an abbrev even if period follows
214
215\def\beginexample{\par\leavevmode\begingroup
216 \obeylines\obeyspaces\parskip0pt\tt}
217{\obeyspaces\global\let =\ }
218\def\endexample{\endgroup}
219
220\def\key#1#2{\leavevmode\hbox to \hsize{\vtop
221 {\hsize=.75\hsize\rightskip=1em
222 \hskip\keyindent\relax#1}\kbd{#2}\hfil}}
223
224\newbox\metaxbox
225\setbox\metaxbox\hbox{\kbd{M-x }}
226\newdimen\metaxwidth
227\metaxwidth=\wd\metaxbox
228
229\def\metax#1#2{\leavevmode\hbox to \hsize{\hbox to .75\hsize
230 {\hskip\keyindent\relax#1\hfil}%
231 \hskip -\metaxwidth minus 1fil
232 \kbd{#2}\hfil}}
233
234\def\threecol#1#2#3{\hskip\keyindent\relax#1\hfil&\kbd{#2}\quad
235 &\kbd{#3}\quad\cr}
236
237%
238% Calc-specific commands here:
239%
240
241\let\^=^
242\let\_=_
243\catcode`\^=7
244\catcode`\_=8
245
246% Redefine to make spaces a bit smaller
247\let\wkbd=\kbd
248\def\kbd#1{{\spaceskip=.37em\tt#1}\null}
249
250\def\wkey#1#2{\leavevmode\hbox to \hsize{\vtop
251 {\hsize=.75\hsize\rightskip=1em
252 \hskip\keyindent\relax#1}\wkbd{#2}\hfil}}
253\def\wthreecol#1#2#3{\hskip\keyindent\relax#1\hfil&\wkbd{#2}\quad
254 &\wkbd{#3}\quad\cr}
255
256\def\stkkey#1#2#3#4{\par\line{\hskip1em\rlap{\kbd{#1}}\hskip4.5em%
257 \rlap{{#2}}\hskip7.5em\rlap{{#3}}\hskip7.5em\rlap{{#4}}\hfill}\par}
258\def\S#1{$S_{\scriptscriptstyle #1}$}
259\def\swap{$\leftrightarrow$}
260
845e3ab1 261\def\calcprefix{C-x *\ }
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262\def\,{{\rm ,\hskip.55em}\ignorespaces}
263\def\lesssectionskip{\vskip-1.5ex}
264
265\def\iline#1{\par\line{\hskip1em\relax #1\hfill}\par}
266
267\if 1\ncolumns
268\else
269 \font\eighti=cmmi8
270 \textfont1=\eighti
271\fi
272
273%**end of header
274\f
275
276% Column 1
277
278\title{GNU Calc Reference Card}
279
18a56945 280\centerline{(for GNU Emacs version \emacsversionnumber)}
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281
282\section{Starting and Stopping}
283
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284\wkey{start/stop standard Calc}{\calcprefix c}
285\wkey{start/stop X keypad Calc}{\calcprefix k}
286\wkey{\quad start/stop either: \kbd{\calcprefix *}}{}
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287\wkey{stop standard Calc}{q}
288
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289\wkey{Calc tutorial}{\calcprefix t}
290\wkey{run Calc in other window}{\calcprefix o}
291\wkey{quick calculation in minibuffer}{\calcprefix q}
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292
293\section{Getting Help}
294
295\lesssectionskip
296The \kbd{h} prefix key is Calc's analogue of \kbd{C-h} in Emacs.
297
298\key{quick summary of keys}{?}
299\key{describe key briefly}{h c}
300\key{describe key fully}{h k}
301\key{describe function or command}{h f}
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302\key{read on-line manual}{h i{\rm\enskip or\enskip}\calcprefix i}
303\key{read full Calc summary}{h s{\rm\enskip or\enskip}\calcprefix s}
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304
305\section{Error Recovery}
306
307\key{abort command in progress}{C-g}
308\key{display recent error messages}{w}
309\key{undo last operation}{U}
310\key{redo last operation}{D}
311\key{recall last arguments}{M-RET}
312\key{edit top of stack}{`}
845e3ab1 313\wkey{reset Calc to initial state}{\calcprefix 0 {\rm (zero)}}
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314
315\section{Transferring Data}
316
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317\wkey{grab region from a buffer}{\calcprefix g}
318\wkey{grab rectangle from a buffer}{\calcprefix r}
319\wkey{grab rectangle, summing columns}{\calcprefix :}
320\wkey{grab rectangle, summing rows}{\calcprefix \_}
38e3e5fe 321
845e3ab1 322\wkey{yank data to a buffer}{\calcprefix y}
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323
324Also, try \kbd{C-k}/\kbd{C-y} or X cut and paste.
325
326\section{Examples}
327
328\lesssectionskip
329In RPN, enter numbers first, separated by \kbd{RET} if necessary,
330then type the operator. To enter a calculation in algebraic form,
331press the apostrophe first.
332
333\beginindentedkeys
334\paralign to \hsize{#\tabskip=10pt plus 1 fil&#\tabskip=0pt\hfil\quad&#\hfil\cr
335\wthreecol{ }{{\bf RPN style:}}{{\bf algebraic style:}}
336\wthreecol{Example:}{2 RET 3 +}{' 2+3 RET}
337\wthreecol{Example:}{2 RET 3 + 4 *}{' (2+3)*4 RET}
338\wthreecol{Example:}{2 RET 3 RET 4 + *}{' 2*(3+4) RET}
339\wthreecol{Example:}{3 RET 6 + Q 3 \^}{' sqrt(3+6)\^3 RET}
340\wthreecol{Example:}{P 3 / n S}{' sin(-pi/3) RET =}
341}
342\endindentedkeys
343
344\shortcopyrightnotice
345
346% Column 2
347
348\section{Arithmetic}
349
350\key{add, subtract, multiply, divide}{+\, -\, *\, /}
351\key{raise to a power, {\it n\/}th root}{\^\, I \^}
352\key{change sign}{n}
353\key{reciprocal $1/x$}{\&}
354\key{square root $\sqrt x$}{Q}
355
356\key{set precision}{p}
357\key{round off last two digits}{c 2}
358\key{convert to fraction, float}{c F\, c f}
359
360\wkey{enter using algebraic notation}{' 2+3*4}
361\wkey{refer to previous result}{' 3*\$\^2}
362\wkey{refer to higher stack entries}{' \$1*\$2\^2}
363\key{finish alg entry without evaluating}{LFD}
364\key{set mode where alg entry used by default}{m a}
365
366\section{Stack Commands}
367
368\lesssectionskip
369Here \S{n} is the $n$th stack entry, and $N$ is the size of the stack.
370
371\vskip.5ex
372\stkkey{\it key}{\it no prefix}{\it prefix $n$}{\it prefix $-n$}
373\stkkey{RET}{copy \S{1}}{copy \S{1..n}}{copy \S{n}}
374\stkkey{LFD}{copy \S{2}}{copy \S{n}}{copy \S{1..n}}
375\stkkey{DEL}{delete \S{1}}{delete \S{1..n}}{delete \S{n}}
376\stkkey{M-DEL}{delete \S{2}}{delete \S{n}}{delete \S{1..n}}
377\stkkey{TAB}{swap \S{1}\swap\S{2}}{roll \S{1} to \S{n}}{roll \S{n} to \S{N}}
378\stkkey{M-TAB}{roll \S{3} to \S{1}}{roll \S{n} to \S{1}}{roll \S{N} to \S{n}}
379
18a56945 380With a 0 prefix, these copy, delete, or reverse the entire stack.
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381
382\section{Display}
383
384\wkey{scroll horizontally, vertically}{< >\, \{ \}}
385\key{home cursor}{o}
386\key{line numbers on/off}{d l}
387\key{trail display on/off}{t d}
388
389\key{scientific notation}{d s}
390\key{fixed-point notation}{d f}
391\key{floating-point (normal) notation}{d n}
392\key{group digits with commas}{d g}
393
394For display mode commands, \kbd{H} prefix prevents screen redraw
395and \kbd{I} prefix temporarily redraws top of stack.
396
397\section{Notations}
398
399\wkey{scientific notation}{6.02e23}
400\wkey{minus sign in numeric entry}{\_23{\rm\quad or\quad}23 n}
401\wkey{fractions}{3:4}
402\wkey{complex numbers}{({\it x}, {\it y})}
403\wkey{polar complex numbers}{({\it r}; $\theta$)}
404\wkey{vectors (commas optional)}{[1, 2, 3]}
405\wkey{matrices (or nested vectors)}{[1, 2; 3, 4]}
406\wkey{error forms (\kbd{p} key)}{100 +/- 0.5}
407\wkey{interval forms}{[2 ..\ 5)}
408\wkey{modulo forms (\kbd{M} key)}{6 mod 24}
409\wkey{HMS forms}{5@ 30' 0"}
410\wkey{date forms}{<Jul 4, 1992>}
411\wkey{infinity, indeterminate}{inf\, nan}
412
413% Column 3
414
415\section{Scientific Functions}
416
417\key{ln, log${}_{\scriptscriptstyle 10}$, log${}_b$}{L\, H L\, B}
418\key{exponential {\it e}${}^x$, 10${}^x$}{E\, H E}
419\key{sin, cos, tan}{S\, C\, T}
420\key{arcsin, arccos, arctan}{I S\, I C\, I T}
421\key{inverse, hyperbolic prefix keys}{I\, H}
422\key{two-argument arctan}{f T}
423\key{degrees, radians modes}{m d\, m r}
424\key{pi ($\pi$)}{P}
425
426\key{factorial, double factorial}{!\, k d}
427\key{combinations, permutations}{k c\, H k c}
428\key{prime factorization}{k f}
429\key{next prime, previous prime}{k n\, I k n}
430\key{GCD, LCM}{k g\, k l}
431\key{random number, shuffle}{k r\, k h}
432\key{minimum, maximum}{f n\, f x}
433
434\key{error functions erf, erfc}{f e\, I f e}
435\key{gamma, beta functions}{f g\, f b}
436\key{incomplete gamma, beta functions}{f G\, f B}
437\key{Bessel $J_\nu$, $Y_\nu$ functions}{f j\, f y}
438
439\key{complex magnitude, arg, conjugate}{A\, G\, J}
440\key{real, imaginary parts}{f r\, f i}
441\key{convert polar/rectangular}{c p}
442
443\section{Financial Functions}
444
445\key{enter percentage}{M-\%}
446\key{convert to percentage}{c \%}
447\key{percentage change}{b \%}
448
449\key{present value}{b P}
450\key{future value}{b F}
451\key{rate of return}{b T}
452\key{number of payments}{b \#}
453\key{size of payments}{b M}
454\key{net present value, int.\ rate of return}{b N\, b I}
455
456Above computations assume payments at end of period. Use \kbd{I}
457prefix for beginning of period, or \kbd{H} for a lump sum investment.
458
459\key{straight-line depreciation}{b S}
460\key{sum-of-years'-digits}{b Y}
461\key{double declining balance}{b D}
462
463\section{Units}
464
465\wkey{enter with units}{' 55 mi/hr}
466\key{convert to new units, base units}{u c\, u b}
467\key{convert temperature units}{u t}
468\key{simplify units expression}{u s}
469\key{view units table}{u v}
470
471Common units:
472\iline{distance: \kbd{m}, \kbd{cm}, \kbd{mm}, \kbd{km};
473 \kbd{in}, \kbd{ft}, \kbd{mi}, \kbd{mfi};
474 \kbd{point}, \kbd{lyr}}
177c0ea7 475\iline{volume: \kbd{l} or \kbd{L}, \kbd{ml};
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476 \kbd{gal}, \kbd{qt}, \kbd{pt}, \kbd{cup}, \kbd{floz},
477 \kbd{tbsp}, \kbd{tsp}}
478\iline{mass: \kbd{g}, \kbd{mg}, \kbd{kg}, \kbd{t};
479 \kbd{lb}, \kbd{oz}, \kbd{ton}}
480\iline{time: \kbd{s} or \kbd{sec}, \kbd{ms}, \kbd{us}, \kbd{ns}, \kbd{min},
481 \kbd{hr}, \kbd{day}, \kbd{wk}}
482\iline{temperature: \kbd{degC}, \kbd{degF}, \kbd{K}}
483
484% Column 4
485
486\newcolumn
487\title{GNU Calc Reference Card}
488
489\section{Programmer's Functions}
490
491\key{binary, octal, hex display}{d 2\, d 8\, d 6}
492\key{decimal, other radix display}{d 0\, d r}
493\key{display leading zeros}{d z}
494\key{entering non-decimal numbers}{16\#7FFF}
495
496\key{binary word size}{b w}
497\key{binary AND, OR, XOR}{b a\, b o\, b x}
498\key{binary DIFF, NOT}{b d\, b n}
499\key{left shift}{b l}
500\key{logical right shift}{b r}
501\key{arithmetic right shift}{b R}
502
503\key{integer quotient, remainder}{\\\, \%}
504\key{integer square root, logarithm}{f Q\, f I}
505\key{floor, ceiling, round to integer}{F\, I F\, R}
506
507\section{Variables}
508
509\lesssectionskip
510Variable names are single digits or whole words.
511
512\key{store to variable}{s t}
513\key{store and keep on stack}{s s}
514\key{recall from variable}{s r}
515\key{shorthands for digit variables}{t {\it n}\, s {\it n}\, r {\it n}}
516\key{unstore, exchange variable}{s u\, s x}
517\key{edit variable}{s e}
518
519\section{Vector Operations}
520
521\key{vector of 1, 2, $\ldots\mskip\thinmuskip$, {\it n}}{v x {\it n}}
522\key{vector of {\it n} counts from {\it a} by {\it b}}{C-u v x}
523\key{vector of copies of a value}{v b}
524\key{concatenate into vector}{|}
525\key{pack many stack items into vector}{v p}
526\key{unpack vector or object}{v u}
527
528\key{length of vector (list)}{v l}
529\key{reverse vector}{v v}
530\key{sort, grade vector}{V S\, V G}
531\key{histogram of vector data}{V H}
532\key{extract vector element}{v r}
533
534\key{matrix determinant, inverse}{V D\, \&}
535\key{matrix transpose, trace}{v t\, V T}
536\key{cross, dot products}{V C\, *}
537\key{identity matrix}{v i}
538\key{extract matrix row, column}{v r\, v c}
539
540\key{intersection, union, diff of sets}{V \^\, V V\, V -}
541\key{cardinality of set}{V \#}
542
543\key{add vectors elementwise (i.e., map \kbd{+})}{V M +}
544\key{sum elements in vector (i.e., reduce \kbd{+})}{V R +}
545\key{sum rows in matrix}{V R \_ +}
546\key{sum columns in matrix}{V R : +}
547\key{sum elements, accumulate results}{V U +}
548
549% Column 5
550
551\section{Algebra}
552
553\wkey{enter an algebraic formula}{' 2x+3y\^2}
554\wkey{enter an equation}{' 2x\^2=18}
555
556\key{symbolic (vs.\ numeric) mode}{m s}
557\key{fractions (vs.\ float) mode}{m f}
558\key{suppress evaluation of formulas}{m O}
559\key{simplify formulas automatically}{m S}
560\key{return to default evaluation rules}{m D}
561
562\key{``Big'' display mode}{d B}
563\key{C, Pascal, FORTRAN modes}{d C\, d P\, d F}
0b292bd0 564\key{\TeX, La\TeX, eqn modes}{d T\, d L\, d E}
18a56945 565\key{Maxima}{d X}
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566\key{Unformatted mode}{d U}
567\key{Normal language mode}{d N}
568
569\key{simplify formula}{a s}
570\key{put formula into rational form}{a n}
571\key{evaluate variables in formula}{=}
572\key{evaluate numerically}{N}
573\key{let variable equal a value in formula}{s l {\it x\/}={\it val}}
574\key{declare properties of variable}{s d}
575\iline{Common decls: \kbd{pos}, \kbd{int}, \kbd{real},
576 \kbd{scalar}, \kbd{[{\it a}..{\it b}\hskip.1em]}.}
577
578\key{expand, collect terms}{a x\, a c}
579\key{factor, partial fractions}{a f\, a a}
580\key{polynomial quotient, remainder, GCD}{a \\\, a \%\, a g}
581\key{derivative, integral}{a d\, a i}
582\key{taylor series}{a t}
583
584\key{principal solution to equation(s)}{a S}
585\key{list of solutions}{a P}
586\key{generic solution}{H a S}
587\key{apply function to both sides of eqn}{a M}
588
589\key{rewrite formula}{a r}
590\iline{Example: \wkbd{a r a*b + a*c := a*(b+c)}}
591\iline{Example: \wkbd{a r sin(x)\^2 := 1-cos(x)\^2}}
592\iline{Example: \wkbd{a r cos(n pi) := 1 ::\ integer(n) ::\ n\%2 = 0}}
593\iline{Example: \wkbd{a r [f(0) := 1, f(n) := n f(n-1) ::\ n > 0]}}
594\iline{Put rules in \kbd{EvalRules} to have them apply automatically.}
595\iline{Put rules in \kbd{AlgSimpRules} to apply during \kbd{a s}
596 command.}
597\iline{Common markers: \kbd{opt}, \kbd{plain}, \kbd{quote}, \kbd{eval},
598 \kbd{let}, \kbd{remember}.}
599
600\section{Numerical Computations}
601
602\key{sum formula over a range}{a +}
603\key{product of formula over a range}{a *}
604\key{tabulate formula over a range}{a T}
605\key{integrate numerically over a range}{a I}
606\key{find zero of formula or equation}{a R}
607\key{find local min, max of formula}{a N\, a X}
608\key{fit data to line or curve}{a F}
609
610\key{mean of data in vector or variable}{u M}
611\key{median of data}{H u M}
612\key{geometric mean of data}{u G}
613\key{sum, product of data}{u +\, u *}
614\key{minimum, maximum of data}{u N\, u X}
615\key{sample, pop.\ standard deviation}{u S\, I u S}
616
617% Column 6
618
619\section{Selections}
620
621\key{select subformula under cursor}{j s}
622\key{select {\it n\/}th subformula}{j {\it n}}
623\key{select more}{j m}
624\key{unselect this, all formulas}{j u\, j c}
625
626\key{copy indicated subformula}{j RET}
627\key{delete indicated subformula}{j DEL}
628
629\key{commute selected terms}{j C}
630\key{commute term leftward, rightward}{j L\, j R}
631\key{distribute, merge selection}{j D\, j M}
632\key{isolate selected term in equation}{j I}
633\key{negate, invert term in context}{j N\, j \&}
634\key{rewrite selected term}{j r}
635
636\section{Graphics}
637
638\key{graph function or data}{g f}
639\key{graph 3D function or data}{g F}
640\key{replot current graph}{g p}
641\key{print current graph}{g P}
642\key{add curve to graph}{g a}
643\key{set number of data points}{g N}
644\key{set line, point styles}{g s\, g S}
645\key{set log vs.\ linear {\it x, y} axis}{g l\, g L}
646\key{set range for {\it x, y} axis}{g r\, g R}
647\key{close graphics window}{g q}
648
649\section{Programming}
650
651\key{begin, end recording a macro}{C-x (\, C-x )}
652\key{replay keyboard macro}{X}
845e3ab1 653\wkey{read region as written-out macro}{\calcprefix m}
38e3e5fe
EZ
654\key{if, else, endif}{Z [\, Z :\, Z ]}
655\key{equal to, less than, member of}{a =\, a <\, a \{}
656\key{repeat {\it n} times, break from loop}{Z <\, Z >\, Z /}
657\key{``for'' loop: start, end; body, step}{Z (\, Z )}
658\key{save, restore mode settings}{Z `\, Z '}
38e3e5fe
EZ
659\key{query user during macro}{Z \#}
660\key{put finished macro on a key}{Z K}
661
662\key{define function with formula}{Z F}
663\key{edit definition}{Z E}
664
665\key{record user-defined command permanently}{Z P}
666\key{record variable value permanently}{s p}
667\key{record mode settings permanently}{m m}
668
669\copyrightnotice
670
671\bye
672\f
673% Local variables:
1e73763e 674% compile-command: "pdftex calccard"
38e3e5fe 675% End:
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676
677% arch-tag: a2764f34-ec23-4083-bd5c-53f9e70a5da9