mirror of
https://git.savannah.gnu.org/git/emacs.git
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669 lines
20 KiB
TeX
669 lines
20 KiB
TeX
% Reference Card for GNU Emacs Calc 2.02
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%**start of header
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\newcount\columnsperpage
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% The format for this file is adapted from the GNU Emacs reference
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% card version 1.9, by Stephen Gildea.
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% This file can be printed with 1, 2, or 3 columns per page (see below).
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% Specify how many you want here.
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\columnsperpage=3
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% PDF output layout. 0 for A4, 1 for letter (US), a `l' is added for
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% a landscape layout.
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\input pdflayout.sty
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\pdflayout=(1l)
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% Nothing else needs to be changed.
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% Typical command to format: tex calccard.tex
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% Typical command to print (3 cols): dvips -t landscape calccard.dvi
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% Copyright (C) 1987, 1992, 2001--2024 Free Software Foundation, Inc.
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% This document is free software: you can redistribute it and/or modify
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% it under the terms of the GNU General Public License as published by
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% the Free Software Foundation, either version 3 of the License, or
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% (at your option) any later version.
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% As a special additional permission, you may distribute reference cards
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% printed, or formatted for printing, with the notice "Released under
|
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% the terms of the GNU General Public License version 3 or later"
|
||
% instead of the usual distributed-under-the-GNU-GPL notice, and without
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% a copy of the GPL itself.
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||
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% This document is distributed in the hope that it will be useful,
|
||
% but WITHOUT ANY WARRANTY; without even the implied warranty of
|
||
% MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
|
||
% GNU General Public License for more details.
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||
|
||
% You should have received a copy of the GNU General Public License
|
||
% along with GNU Emacs. If not, see <https://www.gnu.org/licenses/>.
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||
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||
% This file is intended to be processed by plain TeX (TeX82).
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%
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% The final reference card has six columns, three on each side.
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% This file can be used to produce it in any of three ways:
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% 1 column per page
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||
% produces six separate pages, each of which needs to be reduced to 80%.
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% This gives the best resolution.
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||
% 2 columns per page
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||
% produces three already-reduced pages.
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||
% You will still need to cut and paste.
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||
% 3 columns per page
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||
% produces two pages which must be printed sideways to make a
|
||
% ready-to-use 8.5 x 11 inch reference card.
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% For this you need a dvi device driver that can print sideways.
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||
% Which mode to use is controlled by setting \columnsperpage above.
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%
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% Author (Calc reference card):
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% Dave Gillespie <daveg@synaptics.com>
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%
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% Author (refcard.tex format):
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% Stephen Gildea <stepheng+emacs@gildea.com>
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||
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||
\input emacsver.tex
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||
|
||
\def\shortcopyrightnotice{\vskip 1ex plus 2 fill
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||
\centerline{\small \copyright\ \year\ Free Software Foundation, Inc.
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||
Permissions on back.}}
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||
|
||
\def\copyrightnotice{
|
||
\vskip 1ex plus 2 fill\begingroup\small
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||
\centerline{Copyright \copyright\ \year\ Free Software Foundation, Inc.}
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||
\centerline{designed by Dave Gillespie and Stephen Gildea,}
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||
\centerline{for GNU Emacs Calc.}
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||
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||
Released under the terms of the GNU General Public License version 3 or later.
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||
|
||
For more Emacs documentation, and the \TeX{} source for this card,
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||
see the Emacs distribution, or {\tt https://www.gnu.org/software/emacs}
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||
\endgroup}
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||
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||
% make \bye not \outer so that the \def\bye in the \else clause below
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% can be scanned without complaint.
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||
\def\bye{\par\vfill\supereject\end}
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||
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||
\newdimen\intercolumnskip
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||
\newbox\columna
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||
\newbox\columnb
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||
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||
\def\ncolumns{\the\columnsperpage}
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||
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\message{[\ncolumns\space
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column\if 1\ncolumns\else s\fi\space per page]}
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||
\def\scaledmag#1{ scaled \magstep #1}
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||
|
||
% This multi-way format was designed by Stephen Gildea
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||
% October 1986.
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||
\if 1\ncolumns
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||
\hsize 4in
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||
\vsize 10in
|
||
\voffset -.7in
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||
\font\titlefont=\fontname\tenbf \scaledmag3
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||
\font\headingfont=\fontname\tenbf \scaledmag2
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||
\font\smallfont=\fontname\sevenrm
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||
\font\smallsy=\fontname\sevensy
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||
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||
\footline{\hss\folio}
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\def\makefootline{\baselineskip10pt\hsize6.5in\line{\the\footline}}
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||
\else
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||
\hsize 3.2in
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||
\vsize 7.95in
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||
\hoffset -.75in
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||
\voffset -.745in
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\font\titlefont=cmbx10 \scaledmag2
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\font\headingfont=cmbx10 \scaledmag1
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\font\smallfont=cmr6
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\font\smallsy=cmsy6
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\font\eightrm=cmr8
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\font\eightbf=cmbx8
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\font\eightit=cmti8
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\font\eighttt=cmtt8
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\font\eightsy=cmsy8
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\textfont0=\eightrm
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||
\textfont2=\eightsy
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||
\def\rm{\eightrm}
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||
\def\bf{\eightbf}
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||
\def\it{\eightit}
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||
\def\tt{\eighttt}
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||
\normalbaselineskip=.8\normalbaselineskip
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||
\normallineskip=.8\normallineskip
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||
\normallineskiplimit=.8\normallineskiplimit
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||
\normalbaselines\rm %make definitions take effect
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||
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||
\if 2\ncolumns
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||
\let\maxcolumn=b
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||
\footline{\hss\rm\folio\hss}
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||
\def\makefootline{\vskip 2in \hsize=6.86in\line{\the\footline}}
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||
\else \if 3\ncolumns
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||
\let\maxcolumn=c
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||
\nopagenumbers
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||
\else
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||
\errhelp{You must set \columnsperpage equal to 1, 2, or 3.}
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||
\errmessage{Illegal number of columns per page}
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||
\fi\fi
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||
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||
\intercolumnskip=.46in
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||
\def\abc{a}
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||
\output={%
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||
% This next line is useful when designing the layout.
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||
%\immediate\write16{Column \folio\abc\space starts with \firstmark}
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\if \maxcolumn\abc \multicolumnformat \global\def\abc{a}
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\else\if a\abc
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\global\setbox\columna\columnbox \global\def\abc{b}
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%% in case we never use \columnb (two-column mode)
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\global\setbox\columnb\hbox to -\intercolumnskip{}
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||
\else
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||
\global\setbox\columnb\columnbox \global\def\abc{c}\fi\fi}
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||
\def\multicolumnformat{\shipout\vbox{\makeheadline
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||
\hbox{\box\columna\hskip\intercolumnskip
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||
\box\columnb\hskip\intercolumnskip\columnbox}
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||
\makefootline}\advancepageno}
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||
\def\columnbox{\leftline{\pagebody}}
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||
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||
\def\bye{\par\vfill\supereject
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||
\if a\abc \else\null\vfill\eject\fi
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||
\if a\abc \else\null\vfill\eject\fi
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||
\end}
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\fi
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% we won't be using math mode much, so redefine some of the characters
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% we might want to talk about
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\catcode`\^=12
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\catcode`\_=12
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\chardef\\=`\\
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||
\chardef\{=`\{
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\chardef\}=`\}
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||
\hyphenation{mini-buf-fer}
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||
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||
\parindent 0pt
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||
\parskip 1ex plus .5ex minus .5ex
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||
\def\small{\smallfont\textfont2=\smallsy\baselineskip=.8\baselineskip}
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\outer\def\newcolumn{\vfill\eject}
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||
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||
\outer\def\title#1{{\titlefont\centerline{#1}}\vskip 1ex plus .5ex}
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||
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||
\outer\def\section#1{\par\filbreak
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||
\vskip 3ex plus 2ex minus 2ex {\headingfont #1}\mark{#1}%
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||
\vskip 2ex plus 1ex minus 1.5ex}
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||
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||
\newdimen\keyindent
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||
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||
\def\beginindentedkeys{\keyindent=1em}
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||
\def\endindentedkeys{\keyindent=0em}
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||
\endindentedkeys
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||
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||
\def\paralign{\vskip\parskip\halign}
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||
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||
\def\<#1>{$\langle${\rm #1}$\rangle$}
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||
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||
\def\kbd#1{{\tt#1}\null} %\null so not an abbrev even if period follows
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||
\def\beginexample{\par\leavevmode\begingroup
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\obeylines\obeyspaces\parskip0pt\tt}
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||
{\obeyspaces\global\let =\ }
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\def\endexample{\endgroup}
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||
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||
\def\key#1#2{\leavevmode\hbox to \hsize{\vtop
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{\hsize=.75\hsize\rightskip=1em
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||
\hskip\keyindent\relax#1}\kbd{#2}\hfil}}
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||
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||
\newbox\metaxbox
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||
\setbox\metaxbox\hbox{\kbd{M-x }}
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||
\newdimen\metaxwidth
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||
\metaxwidth=\wd\metaxbox
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||
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||
\def\metax#1#2{\leavevmode\hbox to \hsize{\hbox to .75\hsize
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||
{\hskip\keyindent\relax#1\hfil}%
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\hskip -\metaxwidth minus 1fil
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||
\kbd{#2}\hfil}}
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||
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||
\def\threecol#1#2#3{\hskip\keyindent\relax#1\hfil&\kbd{#2}\quad
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||
&\kbd{#3}\quad\cr}
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||
%
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||
% Calc-specific commands here:
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||
%
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||
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||
\let\^=^
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||
\let\_=_
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||
\catcode`\^=7
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||
\catcode`\_=8
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||
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||
% Redefine to make spaces a bit smaller
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||
\let\wkbd=\kbd
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||
\def\kbd#1{{\spaceskip=.37em\tt#1}\null}
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||
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||
\def\wkey#1#2{\leavevmode\hbox to \hsize{\vtop
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||
{\hsize=.75\hsize\rightskip=1em
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||
\hskip\keyindent\relax#1}\wkbd{#2}\hfil}}
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||
\def\wthreecol#1#2#3{\hskip\keyindent\relax#1\hfil&\wkbd{#2}\quad
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||
&\wkbd{#3}\quad\cr}
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||
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||
\def\stkkey#1#2#3#4{\par\line{\hskip1em\rlap{\kbd{#1}}\hskip4.5em%
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||
\rlap{{#2}}\hskip7.5em\rlap{{#3}}\hskip7.5em\rlap{{#4}}\hfill}\par}
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||
\def\S#1{$S_{\scriptscriptstyle #1}$}
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||
\def\swap{$\leftrightarrow$}
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||
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||
\def\calcprefix{C-x *\ }
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||
\def\,{{\rm ,\hskip.55em}\ignorespaces}
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||
\def\lesssectionskip{\vskip-1.5ex}
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||
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||
\def\iline#1{\par\line{\hskip1em\relax #1\hfill}\par}
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||
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||
\if 1\ncolumns
|
||
\else
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||
\font\eighti=cmmi8
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||
\textfont1=\eighti
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||
\fi
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||
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||
%**end of header
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||
|
||
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% Column 1
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||
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\title{GNU Calc Reference Card}
|
||
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||
\centerline{(for GNU Emacs version \versionemacs)}
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||
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||
\section{Starting and Stopping}
|
||
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||
\wkey{start/stop standard Calc}{\calcprefix c}
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\wkey{start/stop X keypad Calc}{\calcprefix k}
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||
\wkey{\quad start/stop either: \kbd{\calcprefix *}}{}
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||
\wkey{stop standard Calc}{q}
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||
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||
\wkey{Calc tutorial}{\calcprefix t}
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||
\wkey{run Calc in other window}{\calcprefix o}
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||
\wkey{quick calculation in minibuffer}{\calcprefix q}
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||
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||
\section{Getting Help}
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||
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||
\lesssectionskip
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||
The \kbd{h} prefix key is Calc's analogue of \kbd{C-h} in Emacs.
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||
\key{quick summary of keys}{?}
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||
\key{describe key briefly}{h c}
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||
\key{describe key fully}{h k}
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||
\key{describe function or command}{h f}
|
||
\key{read Info manual}{h i{\rm\enskip or\enskip}\calcprefix i}
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||
\key{read full Calc summary}{h s{\rm\enskip or\enskip}\calcprefix s}
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||
|
||
\section{Error Recovery}
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||
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||
\key{abort command in progress}{C-g}
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||
\key{display recent error messages}{w}
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||
\key{undo last operation}{U}
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||
\key{redo last operation}{D}
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||
\key{recall last arguments}{M-RET}
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||
\key{edit top of stack}{`}
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||
\wkey{reset Calc to initial state}{\calcprefix 0 {\rm (zero)}}
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||
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||
\section{Transferring Data}
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||
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||
\wkey{grab region from a buffer}{\calcprefix g}
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||
\wkey{grab rectangle from a buffer}{\calcprefix r}
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||
\wkey{grab rectangle, summing columns}{\calcprefix :}
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||
\wkey{grab rectangle, summing rows}{\calcprefix \_}
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||
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||
\wkey{yank data to a buffer}{\calcprefix y}
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||
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||
Also, try \kbd{C-k}/\kbd{C-y} or X cut and paste.
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||
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||
\section{Examples}
|
||
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||
\lesssectionskip
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||
In RPN, enter numbers first, separated by \kbd{RET} if necessary,
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then type the operator. To enter a calculation in algebraic form,
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||
press the apostrophe first.
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||
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||
\beginindentedkeys
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||
\paralign to \hsize{#\tabskip=10pt plus 1 fil&#\tabskip=0pt\hfil\quad&#\hfil\cr
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||
\wthreecol{ }{{\bf RPN style:}}{{\bf algebraic style:}}
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||
\wthreecol{Example:}{2 RET 3 +}{' 2+3 RET}
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||
\wthreecol{Example:}{2 RET 3 + 4 *}{' (2+3)*4 RET}
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||
\wthreecol{Example:}{2 RET 3 RET 4 + *}{' 2*(3+4) RET}
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||
\wthreecol{Example:}{3 RET 6 + Q 3 \^}{' sqrt(3+6)\^3 RET}
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||
\wthreecol{Example:}{P 3 / n S}{' sin(-pi/3) RET =}
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||
}
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||
\endindentedkeys
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||
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||
\shortcopyrightnotice
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% Column 2
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||
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\section{Arithmetic}
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||
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||
\key{add, subtract, multiply, divide}{+\, -\, *\, /}
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||
\key{raise to a power, {\it n\/}th root}{\^\, I \^}
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||
\key{change sign}{n}
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||
\key{reciprocal $1/x$}{\&}
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||
\key{square root $\sqrt x$}{Q}
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||
|
||
\key{set precision}{p}
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||
\key{round off last two digits}{c 2}
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\key{convert to fraction, float}{c F\, c f}
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||
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||
\wkey{enter using algebraic notation}{' 2+3*4}
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||
\wkey{refer to previous result}{' 3*\$\^2}
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||
\wkey{refer to higher stack entries}{' \$1*\$2\^2}
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||
\key{finish alg entry without evaluating}{LFD}
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||
\key{set mode where alg entry used by default}{m a}
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||
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||
\section{Stack Commands}
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||
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||
\lesssectionskip
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||
Here \S{n} is the $n$th stack entry, and $N$ is the size of the stack.
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||
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||
\vskip.5ex
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||
\stkkey{\it key}{\it no prefix}{\it prefix $n$}{\it prefix $-n$}
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||
\stkkey{RET}{copy \S{1}}{copy \S{1..n}}{copy \S{n}}
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||
\stkkey{LFD}{copy \S{2}}{copy \S{n}}{copy \S{1..n}}
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||
\stkkey{DEL}{delete \S{1}}{delete \S{1..n}}{delete \S{n}}
|
||
\stkkey{M-DEL}{delete \S{2}}{delete \S{n}}{delete \S{1..n}}
|
||
\stkkey{TAB}{swap \S{1}\swap\S{2}}{roll \S{1} to \S{n}}{roll \S{n} to \S{N}}
|
||
\stkkey{M-TAB}{roll \S{3} to \S{1}}{roll \S{n} to \S{1}}{roll \S{N} to \S{n}}
|
||
|
||
With a 0 prefix, these copy, delete, or reverse the entire stack.
|
||
|
||
\section{Display}
|
||
|
||
\wkey{scroll horizontally, vertically}{< >\, \{ \}}
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||
\key{home cursor}{o}
|
||
\key{line numbers on/off}{d l}
|
||
\key{trail display on/off}{t d}
|
||
|
||
\key{scientific notation}{d s}
|
||
\key{fixed-point notation}{d f}
|
||
\key{floating-point (normal) notation}{d n}
|
||
\key{group digits with commas}{d g}
|
||
|
||
For display mode commands, \kbd{H} prefix prevents screen redraw
|
||
and \kbd{I} prefix temporarily redraws top of stack.
|
||
|
||
\section{Notations}
|
||
|
||
\wkey{scientific notation}{6.02e23}
|
||
\wkey{minus sign in numeric entry}{\_23{\rm\quad or\quad}23 n}
|
||
\wkey{fractions}{3:4}
|
||
\wkey{complex numbers}{({\it x}, {\it y})}
|
||
\wkey{polar complex numbers}{({\it r}; $\theta$)}
|
||
\wkey{vectors (commas optional)}{[1, 2, 3]}
|
||
\wkey{matrices (or nested vectors)}{[1, 2; 3, 4]}
|
||
\wkey{error forms (\kbd{p} key)}{100 +/- 0.5}
|
||
\wkey{interval forms}{[2 ..\ 5)}
|
||
\wkey{modulo forms (\kbd{M} key)}{6 mod 24}
|
||
\wkey{HMS forms}{5@ 30' 0"}
|
||
\wkey{date forms}{<Jul 4, 1992>}
|
||
\wkey{infinity, indeterminate}{inf\, nan}
|
||
|
||
% Column 3
|
||
|
||
\section{Scientific Functions}
|
||
|
||
\key{ln, log${}_{\scriptscriptstyle 10}$, log${}_b$}{L\, H L\, B}
|
||
\key{exponential {\it e}${}^x$, 10${}^x$}{E\, H E}
|
||
\key{sin, cos, tan}{S\, C\, T}
|
||
\key{arcsin, arccos, arctan}{I S\, I C\, I T}
|
||
\key{inverse, hyperbolic prefix keys}{I\, H}
|
||
\key{two-argument arctan}{f T}
|
||
\key{degrees, radians modes}{m d\, m r}
|
||
\key{pi ($\pi$)}{P}
|
||
|
||
\key{factorial, double factorial}{!\, k d}
|
||
\key{combinations, permutations}{k c\, H k c}
|
||
\key{prime factorization}{k f}
|
||
\key{next prime, previous prime}{k n\, I k n}
|
||
\key{GCD, LCM}{k g\, k l}
|
||
\key{random number, shuffle}{k r\, k h}
|
||
\key{minimum, maximum}{f n\, f x}
|
||
|
||
\key{error functions erf, erfc}{f e\, I f e}
|
||
\key{gamma, beta functions}{f g\, f b}
|
||
\key{incomplete gamma, beta functions}{f G\, f B}
|
||
\key{Bessel $J_\nu$, $Y_\nu$ functions}{f j\, f y}
|
||
|
||
\key{complex magnitude, arg, conjugate}{A\, G\, J}
|
||
\key{real, imaginary parts}{f r\, f i}
|
||
\key{convert polar/rectangular}{c p}
|
||
|
||
\section{Financial Functions}
|
||
|
||
\key{enter percentage}{M-\%}
|
||
\key{convert to percentage}{c \%}
|
||
\key{percentage change}{b \%}
|
||
|
||
\key{present value}{b P}
|
||
\key{future value}{b F}
|
||
\key{rate of return}{b T}
|
||
\key{number of payments}{b \#}
|
||
\key{size of payments}{b M}
|
||
\key{net present value, int.\ rate of return}{b N\, b I}
|
||
|
||
Above computations assume payments at end of period. Use \kbd{I}
|
||
prefix for beginning of period, or \kbd{H} for a lump sum investment.
|
||
|
||
\key{straight-line depreciation}{b S}
|
||
\key{sum-of-years'-digits}{b Y}
|
||
\key{double declining balance}{b D}
|
||
|
||
\section{Units}
|
||
|
||
\wkey{enter with units}{' 55 mi/hr}
|
||
\key{convert to new units, base units}{u c\, u b}
|
||
\key{convert temperature units}{u t}
|
||
\key{simplify units expression}{u s}
|
||
\key{view units table}{u v}
|
||
|
||
Common units:
|
||
\iline{distance: \kbd{m}, \kbd{cm}, \kbd{mm}, \kbd{km};
|
||
\kbd{in}, \kbd{ft}, \kbd{mi}, \kbd{mfi};
|
||
\kbd{point}, \kbd{lyr}}
|
||
\iline{volume: \kbd{l} or \kbd{L}, \kbd{ml};
|
||
\kbd{gal}, \kbd{qt}, \kbd{pt}, \kbd{cup}, \kbd{floz},
|
||
\kbd{tbsp}, \kbd{tsp}}
|
||
\iline{mass: \kbd{g}, \kbd{mg}, \kbd{kg}, \kbd{t};
|
||
\kbd{lb}, \kbd{oz}, \kbd{ton}}
|
||
\iline{time: \kbd{s} or \kbd{sec}, \kbd{ms}, \kbd{us}, \kbd{ns}, \kbd{min},
|
||
\kbd{hr}, \kbd{day}, \kbd{wk}}
|
||
\iline{temperature: \kbd{degC}, \kbd{degF}, \kbd{K}}
|
||
|
||
% Column 4
|
||
|
||
\newcolumn
|
||
\title{GNU Calc Reference Card}
|
||
|
||
\section{Programmer's Functions}
|
||
|
||
\key{binary, octal, hex display}{d 2\, d 8\, d 6}
|
||
\key{decimal, other radix display}{d 0\, d r}
|
||
\key{display leading zeros}{d z}
|
||
\key{entering non-decimal numbers}{16\#7FFF}
|
||
|
||
\key{binary word size}{b w}
|
||
\key{binary AND, OR, XOR}{b a\, b o\, b x}
|
||
\key{binary DIFF, NOT}{b d\, b n}
|
||
\key{left shift}{b l}
|
||
\key{logical right shift}{b r}
|
||
\key{arithmetic right shift}{b R}
|
||
|
||
\key{integer quotient, remainder}{\\\, \%}
|
||
\key{integer square root, logarithm}{f Q\, f I}
|
||
\key{floor, ceiling, round to integer}{F\, I F\, R}
|
||
|
||
\section{Variables}
|
||
|
||
\lesssectionskip
|
||
Variable names are single digits or whole words.
|
||
|
||
\key{store to variable}{s t}
|
||
\key{store and keep on stack}{s s}
|
||
\key{recall from variable}{s r}
|
||
\key{shorthands for digit variables}{t {\it n}\, s {\it n}\, r {\it n}}
|
||
\key{unstore, exchange variable}{s u\, s x}
|
||
\key{edit variable}{s e}
|
||
|
||
\section{Vector Operations}
|
||
|
||
\key{vector of 1, 2, $\ldots\mskip\thinmuskip$, {\it n}}{v x {\it n}}
|
||
\key{vector of {\it n} counts from {\it a} by {\it b}}{C-u v x}
|
||
\key{vector of copies of a value}{v b}
|
||
\key{concatenate into vector}{|}
|
||
\key{pack many stack items into vector}{v p}
|
||
\key{unpack vector or object}{v u}
|
||
|
||
\key{length of vector (list)}{v l}
|
||
\key{reverse vector}{v v}
|
||
\key{sort, grade vector}{V S\, V G}
|
||
\key{histogram of vector data}{V H}
|
||
\key{extract vector element}{v r}
|
||
|
||
\key{matrix determinant, inverse}{V D\, \&}
|
||
\key{matrix transpose, trace}{v t\, V T}
|
||
\key{cross, dot products}{V C\, *}
|
||
\key{identity matrix}{v i}
|
||
\key{extract matrix row, column}{v r\, v c}
|
||
|
||
\key{intersection, union, diff of sets}{V \^\, V V\, V -}
|
||
\key{cardinality of set}{V \#}
|
||
|
||
\key{add vectors elementwise (i.e., map \kbd{+})}{V M +}
|
||
\key{sum elements in vector (i.e., reduce \kbd{+})}{V R +}
|
||
\key{sum rows in matrix}{V R \_ +}
|
||
\key{sum columns in matrix}{V R : +}
|
||
\key{sum elements, accumulate results}{V U +}
|
||
|
||
% Column 5
|
||
|
||
\section{Algebra}
|
||
|
||
\wkey{enter an algebraic formula}{' 2x+3y\^2}
|
||
\wkey{enter an equation}{' 2x\^2=18}
|
||
|
||
\key{symbolic (vs.\ numeric) mode}{m s}
|
||
\key{fractions (vs.\ float) mode}{m f}
|
||
\key{suppress evaluation of formulas}{m O}
|
||
\key{return to default evaluation rules}{m D}
|
||
|
||
\key{``Big'' display mode}{d B}
|
||
\key{C, Pascal, FORTRAN modes}{d C\, d P\, d F}
|
||
\key{\TeX, La\TeX, eqn modes}{d T\, d L\, d E}
|
||
\key{Maxima}{d X}
|
||
\key{Unformatted mode}{d U}
|
||
\key{Normal language mode}{d N}
|
||
|
||
\key{simplify formula}{a s}
|
||
\key{put formula into rational form}{a n}
|
||
\key{evaluate variables in formula}{=}
|
||
\key{evaluate numerically}{N}
|
||
\key{let variable equal a value in formula}{s l {\it x\/}={\it val}}
|
||
\key{declare properties of variable}{s d}
|
||
\iline{Common decls: \kbd{pos}, \kbd{int}, \kbd{real},
|
||
\kbd{scalar}, \kbd{[{\it a}..{\it b}\hskip.1em]}.}
|
||
|
||
\key{expand, collect terms}{a x\, a c}
|
||
\key{factor, partial fractions}{a f\, a a}
|
||
\key{polynomial quotient, remainder, GCD}{a \\\, a \%\, a g}
|
||
\key{derivative, integral}{a d\, a i}
|
||
\key{taylor series}{a t}
|
||
|
||
\key{principal solution to equation(s)}{a S}
|
||
\key{list of solutions}{a P}
|
||
\key{generic solution}{H a S}
|
||
\key{apply function to both sides of eqn}{a M}
|
||
|
||
\key{rewrite formula}{a r}
|
||
\iline{Example: \wkbd{a r a*b + a*c := a*(b+c)}}
|
||
\iline{Example: \wkbd{a r sin(x)\^2 := 1-cos(x)\^2}}
|
||
\iline{Example: \wkbd{a r cos(n pi) := 1 ::\ integer(n) ::\ n\%2 = 0}}
|
||
\iline{Example: \wkbd{a r [f(0) := 1, f(n) := n f(n-1) ::\ n > 0]}}
|
||
\iline{Put rules in \kbd{EvalRules} to have them apply automatically.}
|
||
\iline{Put rules in \kbd{AlgSimpRules} to apply during \kbd{a s}
|
||
command.}
|
||
\iline{Common markers: \kbd{opt}, \kbd{plain}, \kbd{quote}, \kbd{eval},
|
||
\kbd{let}, \kbd{remember}.}
|
||
|
||
\section{Numerical Computations}
|
||
|
||
\key{sum formula over a range}{a +}
|
||
\key{product of formula over a range}{a *}
|
||
\key{tabulate formula over a range}{a T}
|
||
\key{integrate numerically over a range}{a I}
|
||
\key{find zero of formula or equation}{a R}
|
||
\key{find local min, max of formula}{a N\, a X}
|
||
\key{fit data to line or curve}{a F}
|
||
|
||
\key{mean of data in vector or variable}{u M}
|
||
\key{median of data}{H u M}
|
||
\key{geometric mean of data}{u G}
|
||
\key{sum, product of data}{u +\, u *}
|
||
\key{minimum, maximum of data}{u N\, u X}
|
||
\key{sample, pop.\ standard deviation}{u S\, I u S}
|
||
|
||
% Column 6
|
||
|
||
\section{Selections}
|
||
|
||
\key{select subformula under cursor}{j s}
|
||
\key{select {\it n\/}th subformula}{j {\it n}}
|
||
\key{select more}{j m}
|
||
\key{unselect this, all formulas}{j u\, j c}
|
||
|
||
\key{copy indicated subformula}{j RET}
|
||
\key{delete indicated subformula}{j DEL}
|
||
|
||
\key{commute selected terms}{j C}
|
||
\key{commute term leftward, rightward}{j L\, j R}
|
||
\key{distribute, merge selection}{j D\, j M}
|
||
\key{isolate selected term in equation}{j I}
|
||
\key{negate, invert term in context}{j N\, j \&}
|
||
\key{rewrite selected term}{j r}
|
||
|
||
\section{Graphics}
|
||
|
||
\key{graph function or data}{g f}
|
||
\key{graph 3D function or data}{g F}
|
||
\key{replot current graph}{g p}
|
||
\key{print current graph}{g P}
|
||
\key{add curve to graph}{g a}
|
||
\key{set number of data points}{g N}
|
||
\key{set line, point styles}{g s\, g S}
|
||
\key{set log vs.\ linear {\it x, y} axis}{g l\, g L}
|
||
\key{set range for {\it x, y} axis}{g r\, g R}
|
||
\key{close graphics window}{g q}
|
||
|
||
\section{Programming}
|
||
|
||
\key{begin, end recording a macro}{C-x (\, C-x )}
|
||
\key{replay keyboard macro}{X}
|
||
\wkey{read region as written-out macro}{\calcprefix m}
|
||
\key{if, else, endif}{Z [\, Z :\, Z ]}
|
||
\key{equal to, less than, member of}{a =\, a <\, a \{}
|
||
\key{repeat {\it n} times, break from loop}{Z <\, Z >\, Z /}
|
||
\key{``for'' loop: start, end; body, step}{Z (\, Z )}
|
||
\key{save, restore mode settings}{Z `\, Z '}
|
||
\key{query user during macro}{Z \#}
|
||
\key{put finished macro on a key}{Z K}
|
||
|
||
\key{define function with formula}{Z F}
|
||
\key{edit definition}{Z E}
|
||
|
||
\key{record user-defined command permanently}{Z P}
|
||
\key{record variable value permanently}{s p}
|
||
\key{record mode settings permanently}{m m}
|
||
|
||
\copyrightnotice
|
||
|
||
\bye
|
||
|
||
% Local variables:
|
||
% compile-command: "pdftex calccard"
|
||
% End:
|