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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).
9 % Specify how many you want here. Nothing else needs to be changed.
10
11 \columnsperpage=3
12
13 % Typical command to format: tex calccard.tex
14 % Typical command to print (3 cols): dvips -t landscape calccard.dvi
15
16 % Copyright (C) 1987, 1992, 2001, 2002, 2003, 2004,
17 % 2005, 2006 Free Software Foundation, Inc.
18
19 % This file is part of GNU Emacs.
20
21 % GNU Emacs is free software; you can redistribute it and/or modify
22 % it under the terms of the GNU General Public License as published by
23 % the Free Software Foundation; either version 1, or (at your option)
24 % any later version.
25
26 % GNU Emacs is distributed in the hope that it will be useful,
27 % but WITHOUT ANY WARRANTY; without even the implied warranty of
28 % MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
29 % GNU General Public License for more details.
30
31 % You should have received a copy of the GNU General Public License
32 % along with GNU Emacs; see the file COPYING. If not, write to
33 % the Free Software Foundation, 51 Franklin Street, Fifth Floor,
34 % Boston, MA 02110-1301, USA.
35
36 % This file is intended to be processed by plain TeX (TeX82).
37 %
38 % The final reference card has six columns, three on each side.
39 % This file can be used to produce it in any of three ways:
40 % 1 column per page
41 % produces six separate pages, each of which needs to be reduced to 80%.
42 % This gives the best resolution.
43 % 2 columns per page
44 % produces three already-reduced pages.
45 % You will still need to cut and paste.
46 % 3 columns per page
47 % produces two pages which must be printed sideways to make a
48 % ready-to-use 8.5 x 11 inch reference card.
49 % For this you need a dvi device driver that can print sideways.
50 % Which mode to use is controlled by setting \columnsperpage above.
51 %
52 % Author (Calc reference card):
53 % Dave Gillespie
54 % UUCP: uunet!synaptx!daveg
55 % Internet: daveg@synaptics.com
56 %
57 % Author (refcard.tex format):
58 % Stephen Gildea
59 % UUCP: mit-erl!gildea
60 % Internet: gildea@stop.mail-abuse.org
61
62 \def\versionnumber{2.1}
63 \def\year{2006}
64 \def\version{v\versionnumber}
65
66 \def\shortcopyrightnotice{\vskip 1ex plus 2 fill
67 \centerline{\small \copyright\ \year\ Free Software Foundation, Inc.
68 Permissions on back. v\versionnumber}}
69
70 \def\copyrightnotice{
71 \vskip 1ex plus 2 fill\begingroup\small
72 \centerline{Copyright \copyright\ \year\ Free Software Foundation, Inc.}
73 \centerline{designed by Dave Gillespie and Stephen Gildea, \version}
74 \centerline{for GNU Emacs Calc version \versionnumber}
75
76 Permission is granted to make and distribute copies of
77 this card provided the copyright notice and this permission notice
78 are preserved on all copies.
79
80 For copies of the GNU Emacs Calc manual, write to the Free Software
81 Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston,
82 MA 02110-1301, USA.
83
84 \endgroup}
85
86 % make \bye not \outer so that the \def\bye in the \else clause below
87 % can be scanned without complaint.
88 \def\bye{\par\vfill\supereject\end}
89
90 \newdimen\intercolumnskip
91 \newbox\columna
92 \newbox\columnb
93
94 \def\ncolumns{\the\columnsperpage}
95
96 \message{[\ncolumns\space
97 column\if 1\ncolumns\else s\fi\space per page]}
98
99 \def\scaledmag#1{ scaled \magstep #1}
100
101 % This multi-way format was designed by Stephen Gildea
102 % October 1986.
103 \if 1\ncolumns
104 \hsize 4in
105 \vsize 10in
106 \voffset -.7in
107 \font\titlefont=\fontname\tenbf \scaledmag3
108 \font\headingfont=\fontname\tenbf \scaledmag2
109 \font\smallfont=\fontname\sevenrm
110 \font\smallsy=\fontname\sevensy
111
112 \footline{\hss\folio}
113 \def\makefootline{\baselineskip10pt\hsize6.5in\line{\the\footline}}
114 \else
115 \hsize 3.2in
116 \vsize 7.95in
117 \hoffset -.75in
118 \voffset -.745in
119 \font\titlefont=cmbx10 \scaledmag2
120 \font\headingfont=cmbx10 \scaledmag1
121 \font\smallfont=cmr6
122 \font\smallsy=cmsy6
123 \font\eightrm=cmr8
124 \font\eightbf=cmbx8
125 \font\eightit=cmti8
126 \font\eighttt=cmtt8
127 \font\eightsy=cmsy8
128 \textfont0=\eightrm
129 \textfont2=\eightsy
130 \def\rm{\eightrm}
131 \def\bf{\eightbf}
132 \def\it{\eightit}
133 \def\tt{\eighttt}
134 \normalbaselineskip=.8\normalbaselineskip
135 \normallineskip=.8\normallineskip
136 \normallineskiplimit=.8\normallineskiplimit
137 \normalbaselines\rm %make definitions take effect
138
139 \if 2\ncolumns
140 \let\maxcolumn=b
141 \footline{\hss\rm\folio\hss}
142 \def\makefootline{\vskip 2in \hsize=6.86in\line{\the\footline}}
143 \else \if 3\ncolumns
144 \let\maxcolumn=c
145 \nopagenumbers
146 \else
147 \errhelp{You must set \columnsperpage equal to 1, 2, or 3.}
148 \errmessage{Illegal number of columns per page}
149 \fi\fi
150
151 \intercolumnskip=.46in
152 \def\abc{a}
153 \output={%
154 % This next line is useful when designing the layout.
155 %\immediate\write16{Column \folio\abc\space starts with \firstmark}
156 \if \maxcolumn\abc \multicolumnformat \global\def\abc{a}
157 \else\if a\abc
158 \global\setbox\columna\columnbox \global\def\abc{b}
159 %% in case we never use \columnb (two-column mode)
160 \global\setbox\columnb\hbox to -\intercolumnskip{}
161 \else
162 \global\setbox\columnb\columnbox \global\def\abc{c}\fi\fi}
163 \def\multicolumnformat{\shipout\vbox{\makeheadline
164 \hbox{\box\columna\hskip\intercolumnskip
165 \box\columnb\hskip\intercolumnskip\columnbox}
166 \makefootline}\advancepageno}
167 \def\columnbox{\leftline{\pagebody}}
168
169 \def\bye{\par\vfill\supereject
170 \if a\abc \else\null\vfill\eject\fi
171 \if a\abc \else\null\vfill\eject\fi
172 \end}
173 \fi
174
175 % we won't be using math mode much, so redefine some of the characters
176 % we might want to talk about
177 \catcode`\^=12
178 \catcode`\_=12
179
180 \chardef\\=`\\
181 \chardef\{=`\{
182 \chardef\}=`\}
183
184 \hyphenation{mini-buf-fer}
185
186 \parindent 0pt
187 \parskip 1ex plus .5ex minus .5ex
188
189 \def\small{\smallfont\textfont2=\smallsy\baselineskip=.8\baselineskip}
190
191 \outer\def\newcolumn{\vfill\eject}
192
193 \outer\def\title#1{{\titlefont\centerline{#1}}\vskip 1ex plus .5ex}
194
195 \outer\def\section#1{\par\filbreak
196 \vskip 3ex plus 2ex minus 2ex {\headingfont #1}\mark{#1}%
197 \vskip 2ex plus 1ex minus 1.5ex}
198
199 \newdimen\keyindent
200
201 \def\beginindentedkeys{\keyindent=1em}
202 \def\endindentedkeys{\keyindent=0em}
203 \endindentedkeys
204
205 \def\paralign{\vskip\parskip\halign}
206
207 \def\<#1>{$\langle${\rm #1}$\rangle$}
208
209 \def\kbd#1{{\tt#1}\null} %\null so not an abbrev even if period follows
210
211 \def\beginexample{\par\leavevmode\begingroup
212 \obeylines\obeyspaces\parskip0pt\tt}
213 {\obeyspaces\global\let =\ }
214 \def\endexample{\endgroup}
215
216 \def\key#1#2{\leavevmode\hbox to \hsize{\vtop
217 {\hsize=.75\hsize\rightskip=1em
218 \hskip\keyindent\relax#1}\kbd{#2}\hfil}}
219
220 \newbox\metaxbox
221 \setbox\metaxbox\hbox{\kbd{M-x }}
222 \newdimen\metaxwidth
223 \metaxwidth=\wd\metaxbox
224
225 \def\metax#1#2{\leavevmode\hbox to \hsize{\hbox to .75\hsize
226 {\hskip\keyindent\relax#1\hfil}%
227 \hskip -\metaxwidth minus 1fil
228 \kbd{#2}\hfil}}
229
230 \def\threecol#1#2#3{\hskip\keyindent\relax#1\hfil&\kbd{#2}\quad
231 &\kbd{#3}\quad\cr}
232
233 %
234 % Calc-specific commands here:
235 %
236
237 \let\^=^
238 \let\_=_
239 \catcode`\^=7
240 \catcode`\_=8
241
242 % Redefine to make spaces a bit smaller
243 \let\wkbd=\kbd
244 \def\kbd#1{{\spaceskip=.37em\tt#1}\null}
245
246 \def\wkey#1#2{\leavevmode\hbox to \hsize{\vtop
247 {\hsize=.75\hsize\rightskip=1em
248 \hskip\keyindent\relax#1}\wkbd{#2}\hfil}}
249 \def\wthreecol#1#2#3{\hskip\keyindent\relax#1\hfil&\wkbd{#2}\quad
250 &\wkbd{#3}\quad\cr}
251
252 \def\stkkey#1#2#3#4{\par\line{\hskip1em\rlap{\kbd{#1}}\hskip4.5em%
253 \rlap{{#2}}\hskip7.5em\rlap{{#3}}\hskip7.5em\rlap{{#4}}\hfill}\par}
254 \def\S#1{$S_{\scriptscriptstyle #1}$}
255 \def\swap{$\leftrightarrow$}
256
257 \def\calcprefix{C-x *\ }
258 \def\,{{\rm ,\hskip.55em}\ignorespaces}
259 \def\lesssectionskip{\vskip-1.5ex}
260
261 \def\iline#1{\par\line{\hskip1em\relax #1\hfill}\par}
262
263 \if 1\ncolumns
264 \else
265 \font\eighti=cmmi8
266 \textfont1=\eighti
267 \fi
268
269 %**end of header
270 \f
271
272 % Column 1
273
274 \title{GNU Calc Reference Card}
275
276 \centerline{(for version \versionnumber)}
277
278 \section{Starting and Stopping}
279
280 \wkey{start/stop standard Calc}{\calcprefix c}
281 \wkey{start/stop X keypad Calc}{\calcprefix k}
282 \wkey{\quad start/stop either: \kbd{\calcprefix *}}{}
283 \wkey{stop standard Calc}{q}
284
285 \wkey{Calc tutorial}{\calcprefix t}
286 \wkey{run Calc in other window}{\calcprefix o}
287 \wkey{quick calculation in minibuffer}{\calcprefix q}
288
289 \section{Getting Help}
290
291 \lesssectionskip
292 The \kbd{h} prefix key is Calc's analogue of \kbd{C-h} in Emacs.
293
294 \key{quick summary of keys}{?}
295 \key{describe key briefly}{h c}
296 \key{describe key fully}{h k}
297 \key{describe function or command}{h f}
298 \key{read on-line manual}{h i{\rm\enskip or\enskip}\calcprefix i}
299 \key{read full Calc summary}{h s{\rm\enskip or\enskip}\calcprefix s}
300
301 \section{Error Recovery}
302
303 \key{abort command in progress}{C-g}
304 \key{display recent error messages}{w}
305 \key{undo last operation}{U}
306 \key{redo last operation}{D}
307 \key{recall last arguments}{M-RET}
308 \key{edit top of stack}{`}
309 \wkey{reset Calc to initial state}{\calcprefix 0 {\rm (zero)}}
310
311 \section{Transferring Data}
312
313 \wkey{grab region from a buffer}{\calcprefix g}
314 \wkey{grab rectangle from a buffer}{\calcprefix r}
315 \wkey{grab rectangle, summing columns}{\calcprefix :}
316 \wkey{grab rectangle, summing rows}{\calcprefix \_}
317
318 \wkey{yank data to a buffer}{\calcprefix y}
319
320 Also, try \kbd{C-k}/\kbd{C-y} or X cut and paste.
321
322 \section{Examples}
323
324 \lesssectionskip
325 In RPN, enter numbers first, separated by \kbd{RET} if necessary,
326 then type the operator. To enter a calculation in algebraic form,
327 press the apostrophe first.
328
329 \beginindentedkeys
330 \paralign to \hsize{#\tabskip=10pt plus 1 fil&#\tabskip=0pt\hfil\quad&#\hfil\cr
331 \wthreecol{ }{{\bf RPN style:}}{{\bf algebraic style:}}
332 \wthreecol{Example:}{2 RET 3 +}{' 2+3 RET}
333 \wthreecol{Example:}{2 RET 3 + 4 *}{' (2+3)*4 RET}
334 \wthreecol{Example:}{2 RET 3 RET 4 + *}{' 2*(3+4) RET}
335 \wthreecol{Example:}{3 RET 6 + Q 3 \^}{' sqrt(3+6)\^3 RET}
336 \wthreecol{Example:}{P 3 / n S}{' sin(-pi/3) RET =}
337 }
338 \endindentedkeys
339
340 \shortcopyrightnotice
341
342 % Column 2
343
344 \section{Arithmetic}
345
346 \key{add, subtract, multiply, divide}{+\, -\, *\, /}
347 \key{raise to a power, {\it n\/}th root}{\^\, I \^}
348 \key{change sign}{n}
349 \key{reciprocal $1/x$}{\&}
350 \key{square root $\sqrt x$}{Q}
351
352 \key{set precision}{p}
353 \key{round off last two digits}{c 2}
354 \key{convert to fraction, float}{c F\, c f}
355
356 \wkey{enter using algebraic notation}{' 2+3*4}
357 \wkey{refer to previous result}{' 3*\$\^2}
358 \wkey{refer to higher stack entries}{' \$1*\$2\^2}
359 \key{finish alg entry without evaluating}{LFD}
360 \key{set mode where alg entry used by default}{m a}
361
362 \section{Stack Commands}
363
364 \lesssectionskip
365 Here \S{n} is the $n$th stack entry, and $N$ is the size of the stack.
366
367 \vskip.5ex
368 \stkkey{\it key}{\it no prefix}{\it prefix $n$}{\it prefix $-n$}
369 \stkkey{RET}{copy \S{1}}{copy \S{1..n}}{copy \S{n}}
370 \stkkey{LFD}{copy \S{2}}{copy \S{n}}{copy \S{1..n}}
371 \stkkey{DEL}{delete \S{1}}{delete \S{1..n}}{delete \S{n}}
372 \stkkey{M-DEL}{delete \S{2}}{delete \S{n}}{delete \S{1..n}}
373 \stkkey{TAB}{swap \S{1}\swap\S{2}}{roll \S{1} to \S{n}}{roll \S{n} to \S{N}}
374 \stkkey{M-TAB}{roll \S{3} to \S{1}}{roll \S{n} to \S{1}}{roll \S{N} to \S{n}}
375
376 With a 0 prefix, these copy, delete, or reverse \S{1..N}.
377
378 \section{Display}
379
380 \wkey{scroll horizontally, vertically}{< >\, \{ \}}
381 \key{home cursor}{o}
382 \key{line numbers on/off}{d l}
383 \key{trail display on/off}{t d}
384
385 \key{scientific notation}{d s}
386 \key{fixed-point notation}{d f}
387 \key{floating-point (normal) notation}{d n}
388 \key{group digits with commas}{d g}
389
390 For display mode commands, \kbd{H} prefix prevents screen redraw
391 and \kbd{I} prefix temporarily redraws top of stack.
392
393 \section{Notations}
394
395 \wkey{scientific notation}{6.02e23}
396 \wkey{minus sign in numeric entry}{\_23{\rm\quad or\quad}23 n}
397 \wkey{fractions}{3:4}
398 \wkey{complex numbers}{({\it x}, {\it y})}
399 \wkey{polar complex numbers}{({\it r}; $\theta$)}
400 \wkey{vectors (commas optional)}{[1, 2, 3]}
401 \wkey{matrices (or nested vectors)}{[1, 2; 3, 4]}
402 \wkey{error forms (\kbd{p} key)}{100 +/- 0.5}
403 \wkey{interval forms}{[2 ..\ 5)}
404 \wkey{modulo forms (\kbd{M} key)}{6 mod 24}
405 \wkey{HMS forms}{5@ 30' 0"}
406 \wkey{date forms}{<Jul 4, 1992>}
407 \wkey{infinity, indeterminate}{inf\, nan}
408
409 % Column 3
410
411 \section{Scientific Functions}
412
413 \key{ln, log${}_{\scriptscriptstyle 10}$, log${}_b$}{L\, H L\, B}
414 \key{exponential {\it e}${}^x$, 10${}^x$}{E\, H E}
415 \key{sin, cos, tan}{S\, C\, T}
416 \key{arcsin, arccos, arctan}{I S\, I C\, I T}
417 \key{inverse, hyperbolic prefix keys}{I\, H}
418 \key{two-argument arctan}{f T}
419 \key{degrees, radians modes}{m d\, m r}
420 \key{pi ($\pi$)}{P}
421
422 \key{factorial, double factorial}{!\, k d}
423 \key{combinations, permutations}{k c\, H k c}
424 \key{prime factorization}{k f}
425 \key{next prime, previous prime}{k n\, I k n}
426 \key{GCD, LCM}{k g\, k l}
427 \key{random number, shuffle}{k r\, k h}
428 \key{minimum, maximum}{f n\, f x}
429
430 \key{error functions erf, erfc}{f e\, I f e}
431 \key{gamma, beta functions}{f g\, f b}
432 \key{incomplete gamma, beta functions}{f G\, f B}
433 \key{Bessel $J_\nu$, $Y_\nu$ functions}{f j\, f y}
434
435 \key{complex magnitude, arg, conjugate}{A\, G\, J}
436 \key{real, imaginary parts}{f r\, f i}
437 \key{convert polar/rectangular}{c p}
438
439 \section{Financial Functions}
440
441 \key{enter percentage}{M-\%}
442 \key{convert to percentage}{c \%}
443 \key{percentage change}{b \%}
444
445 \key{present value}{b P}
446 \key{future value}{b F}
447 \key{rate of return}{b T}
448 \key{number of payments}{b \#}
449 \key{size of payments}{b M}
450 \key{net present value, int.\ rate of return}{b N\, b I}
451
452 Above computations assume payments at end of period. Use \kbd{I}
453 prefix for beginning of period, or \kbd{H} for a lump sum investment.
454
455 \key{straight-line depreciation}{b S}
456 \key{sum-of-years'-digits}{b Y}
457 \key{double declining balance}{b D}
458
459 \section{Units}
460
461 \wkey{enter with units}{' 55 mi/hr}
462 \key{convert to new units, base units}{u c\, u b}
463 \key{convert temperature units}{u t}
464 \key{simplify units expression}{u s}
465 \key{view units table}{u v}
466
467 Common units:
468 \iline{distance: \kbd{m}, \kbd{cm}, \kbd{mm}, \kbd{km};
469 \kbd{in}, \kbd{ft}, \kbd{mi}, \kbd{mfi};
470 \kbd{point}, \kbd{lyr}}
471 \iline{volume: \kbd{l} or \kbd{L}, \kbd{ml};
472 \kbd{gal}, \kbd{qt}, \kbd{pt}, \kbd{cup}, \kbd{floz},
473 \kbd{tbsp}, \kbd{tsp}}
474 \iline{mass: \kbd{g}, \kbd{mg}, \kbd{kg}, \kbd{t};
475 \kbd{lb}, \kbd{oz}, \kbd{ton}}
476 \iline{time: \kbd{s} or \kbd{sec}, \kbd{ms}, \kbd{us}, \kbd{ns}, \kbd{min},
477 \kbd{hr}, \kbd{day}, \kbd{wk}}
478 \iline{temperature: \kbd{degC}, \kbd{degF}, \kbd{K}}
479
480 % Column 4
481
482 \newcolumn
483 \title{GNU Calc Reference Card}
484
485 \section{Programmer's Functions}
486
487 \key{binary, octal, hex display}{d 2\, d 8\, d 6}
488 \key{decimal, other radix display}{d 0\, d r}
489 \key{display leading zeros}{d z}
490 \key{entering non-decimal numbers}{16\#7FFF}
491
492 \key{binary word size}{b w}
493 \key{binary AND, OR, XOR}{b a\, b o\, b x}
494 \key{binary DIFF, NOT}{b d\, b n}
495 \key{left shift}{b l}
496 \key{logical right shift}{b r}
497 \key{arithmetic right shift}{b R}
498
499 \key{integer quotient, remainder}{\\\, \%}
500 \key{integer square root, logarithm}{f Q\, f I}
501 \key{floor, ceiling, round to integer}{F\, I F\, R}
502
503 \section{Variables}
504
505 \lesssectionskip
506 Variable names are single digits or whole words.
507
508 \key{store to variable}{s t}
509 \key{store and keep on stack}{s s}
510 \key{recall from variable}{s r}
511 \key{shorthands for digit variables}{t {\it n}\, s {\it n}\, r {\it n}}
512 \key{unstore, exchange variable}{s u\, s x}
513 \key{edit variable}{s e}
514
515 \section{Vector Operations}
516
517 \key{vector of 1, 2, $\ldots\mskip\thinmuskip$, {\it n}}{v x {\it n}}
518 \key{vector of {\it n} counts from {\it a} by {\it b}}{C-u v x}
519 \key{vector of copies of a value}{v b}
520 \key{concatenate into vector}{|}
521 \key{pack many stack items into vector}{v p}
522 \key{unpack vector or object}{v u}
523
524 \key{length of vector (list)}{v l}
525 \key{reverse vector}{v v}
526 \key{sort, grade vector}{V S\, V G}
527 \key{histogram of vector data}{V H}
528 \key{extract vector element}{v r}
529
530 \key{matrix determinant, inverse}{V D\, \&}
531 \key{matrix transpose, trace}{v t\, V T}
532 \key{cross, dot products}{V C\, *}
533 \key{identity matrix}{v i}
534 \key{extract matrix row, column}{v r\, v c}
535
536 \key{intersection, union, diff of sets}{V \^\, V V\, V -}
537 \key{cardinality of set}{V \#}
538
539 \key{add vectors elementwise (i.e., map \kbd{+})}{V M +}
540 \key{sum elements in vector (i.e., reduce \kbd{+})}{V R +}
541 \key{sum rows in matrix}{V R \_ +}
542 \key{sum columns in matrix}{V R : +}
543 \key{sum elements, accumulate results}{V U +}
544
545 % Column 5
546
547 \section{Algebra}
548
549 \wkey{enter an algebraic formula}{' 2x+3y\^2}
550 \wkey{enter an equation}{' 2x\^2=18}
551
552 \key{symbolic (vs.\ numeric) mode}{m s}
553 \key{fractions (vs.\ float) mode}{m f}
554 \key{suppress evaluation of formulas}{m O}
555 \key{simplify formulas automatically}{m S}
556 \key{return to default evaluation rules}{m D}
557
558 \key{``Big'' display mode}{d B}
559 \key{C, Pascal, FORTRAN modes}{d C\, d P\, d F}
560 \key{\TeX, La\TeX, eqn modes}{d T\, d L\, d E}
561 \key{Unformatted mode}{d U}
562 \key{Normal language mode}{d N}
563
564 \key{simplify formula}{a s}
565 \key{put formula into rational form}{a n}
566 \key{evaluate variables in formula}{=}
567 \key{evaluate numerically}{N}
568 \key{let variable equal a value in formula}{s l {\it x\/}={\it val}}
569 \key{declare properties of variable}{s d}
570 \iline{Common decls: \kbd{pos}, \kbd{int}, \kbd{real},
571 \kbd{scalar}, \kbd{[{\it a}..{\it b}\hskip.1em]}.}
572
573 \key{expand, collect terms}{a x\, a c}
574 \key{factor, partial fractions}{a f\, a a}
575 \key{polynomial quotient, remainder, GCD}{a \\\, a \%\, a g}
576 \key{derivative, integral}{a d\, a i}
577 \key{taylor series}{a t}
578
579 \key{principal solution to equation(s)}{a S}
580 \key{list of solutions}{a P}
581 \key{generic solution}{H a S}
582 \key{apply function to both sides of eqn}{a M}
583
584 \key{rewrite formula}{a r}
585 \iline{Example: \wkbd{a r a*b + a*c := a*(b+c)}}
586 \iline{Example: \wkbd{a r sin(x)\^2 := 1-cos(x)\^2}}
587 \iline{Example: \wkbd{a r cos(n pi) := 1 ::\ integer(n) ::\ n\%2 = 0}}
588 \iline{Example: \wkbd{a r [f(0) := 1, f(n) := n f(n-1) ::\ n > 0]}}
589 \iline{Put rules in \kbd{EvalRules} to have them apply automatically.}
590 \iline{Put rules in \kbd{AlgSimpRules} to apply during \kbd{a s}
591 command.}
592 \iline{Common markers: \kbd{opt}, \kbd{plain}, \kbd{quote}, \kbd{eval},
593 \kbd{let}, \kbd{remember}.}
594
595 \section{Numerical Computations}
596
597 \key{sum formula over a range}{a +}
598 \key{product of formula over a range}{a *}
599 \key{tabulate formula over a range}{a T}
600 \key{integrate numerically over a range}{a I}
601 \key{find zero of formula or equation}{a R}
602 \key{find local min, max of formula}{a N\, a X}
603 \key{fit data to line or curve}{a F}
604
605 \key{mean of data in vector or variable}{u M}
606 \key{median of data}{H u M}
607 \key{geometric mean of data}{u G}
608 \key{sum, product of data}{u +\, u *}
609 \key{minimum, maximum of data}{u N\, u X}
610 \key{sample, pop.\ standard deviation}{u S\, I u S}
611
612 % Column 6
613
614 \section{Selections}
615
616 \key{select subformula under cursor}{j s}
617 \key{select {\it n\/}th subformula}{j {\it n}}
618 \key{select more}{j m}
619 \key{unselect this, all formulas}{j u\, j c}
620
621 \key{copy indicated subformula}{j RET}
622 \key{delete indicated subformula}{j DEL}
623
624 \key{commute selected terms}{j C}
625 \key{commute term leftward, rightward}{j L\, j R}
626 \key{distribute, merge selection}{j D\, j M}
627 \key{isolate selected term in equation}{j I}
628 \key{negate, invert term in context}{j N\, j \&}
629 \key{rewrite selected term}{j r}
630
631 \section{Graphics}
632
633 \key{graph function or data}{g f}
634 \key{graph 3D function or data}{g F}
635 \key{replot current graph}{g p}
636 \key{print current graph}{g P}
637 \key{add curve to graph}{g a}
638 \key{set number of data points}{g N}
639 \key{set line, point styles}{g s\, g S}
640 \key{set log vs.\ linear {\it x, y} axis}{g l\, g L}
641 \key{set range for {\it x, y} axis}{g r\, g R}
642 \key{close graphics window}{g q}
643
644 \section{Programming}
645
646 \key{begin, end recording a macro}{C-x (\, C-x )}
647 \key{replay keyboard macro}{X}
648 \wkey{read region as written-out macro}{\calcprefix m}
649 \key{if, else, endif}{Z [\, Z :\, Z ]}
650 \key{equal to, less than, member of}{a =\, a <\, a \{}
651 \key{repeat {\it n} times, break from loop}{Z <\, Z >\, Z /}
652 \key{``for'' loop: start, end; body, step}{Z (\, Z )}
653 \key{save, restore mode settings}{Z `\, Z '}
654 \key{query user during macro}{Z \#}
655 \key{put finished macro on a key}{Z K}
656
657 \key{define function with formula}{Z F}
658 \key{edit definition}{Z E}
659
660 \key{record user-defined command permanently}{Z P}
661 \key{record variable value permanently}{s p}
662 \key{record mode settings permanently}{m m}
663
664 \copyrightnotice
665
666 \bye
667 \f
668 % Local variables:
669 % compile-command: "tex calccard"
670 % End:
671
672 % arch-tag: a2764f34-ec23-4083-bd5c-53f9e70a5da9