any later version published by the Free Software Foundation; with the
Invariant Sections being just ``GNU GENERAL PUBLIC LICENSE'', with the
Front-Cover texts being ``A GNU Manual,'' and with the Back-Cover
-Texts as in (a) below.
+Texts as in (a) below. A copy of the license is included in the section
+entitled ``GNU Free Documentation License.''
(a) The FSF's Back-Cover Text is: ``You have freedom to copy and modify
this GNU Manual, like GNU software. Copies published by the Free
@sp 4
@center GNU Emacs Calc Version 2.1
@c [volume]
-@sp 1
-@center March 2005
@sp 5
@center Dave Gillespie
@center daveg@@synaptics.com
@c [begin]
@ifinfo
-@node Top, , (dir), (dir)
+@node Top, Getting Started, (dir), (dir)
@chapter The GNU Emacs Calculator
@noindent
@end ifinfo
@menu
-* Copying:: How you can copy and share Calc.
-
* Getting Started:: General description and overview.
* Interactive Tutorial::
* Tutorial:: A step-by-step introduction for beginners.
* Embedded Mode:: Working with formulas embedded in a file.
* Programming:: Calc as a programmable calculator.
-* Customizing Calc:: Customizing Calc.
+* Copying:: How you can copy and share Calc.
+* GNU Free Documentation License:: The license for this documentation.
+* Customizing Calc:: Customizing Calc.
* Reporting Bugs:: How to report bugs and make suggestions.
* Summary:: Summary of Calc commands and functions.
* Lisp Function Index:: Internal Lisp math functions.
@end menu
-@node Copying, Getting Started, Top, Top
-@unnumbered GNU GENERAL PUBLIC LICENSE
-@center Version 2, June 1991
-
-@c This file is intended to be included in another file.
-
-@display
-Copyright @copyright{} 1989, 1991 Free Software Foundation, Inc.
-51 Franklin Street, Fifth Floor, Boston, MA 02110-1301, USA
-
-Everyone is permitted to copy and distribute verbatim copies
-of this license document, but changing it is not allowed.
-@end display
-
-@unnumberedsec Preamble
-
- The licenses for most software are designed to take away your
-freedom to share and change it. By contrast, the GNU General Public
-License is intended to guarantee your freedom to share and change free
-software---to make sure the software is free for all its users. This
-General Public License applies to most of the Free Software
-Foundation's software and to any other program whose authors commit to
-using it. (Some other Free Software Foundation software is covered by
-the GNU Lesser General Public License instead.) You can apply it to
-your programs, too.
-
- When we speak of free software, we are referring to freedom, not
-price. Our General Public Licenses are designed to make sure that you
-have the freedom to distribute copies of free software (and charge for
-this service if you wish), that you receive source code or can get it
-if you want it, that you can change the software or use pieces of it
-in new free programs; and that you know you can do these things.
-
- To protect your rights, we need to make restrictions that forbid
-anyone to deny you these rights or to ask you to surrender the rights.
-These restrictions translate to certain responsibilities for you if you
-distribute copies of the software, or if you modify it.
-
- For example, if you distribute copies of such a program, whether
-gratis or for a fee, you must give the recipients all the rights that
-you have. You must make sure that they, too, receive or can get the
-source code. And you must show them these terms so they know their
-rights.
-
- We protect your rights with two steps: (1) copyright the software, and
-(2) offer you this license which gives you legal permission to copy,
-distribute and/or modify the software.
-
- Also, for each author's protection and ours, we want to make certain
-that everyone understands that there is no warranty for this free
-software. If the software is modified by someone else and passed on, we
-want its recipients to know that what they have is not the original, so
-that any problems introduced by others will not reflect on the original
-authors' reputations.
-
- Finally, any free program is threatened constantly by software
-patents. We wish to avoid the danger that redistributors of a free
-program will individually obtain patent licenses, in effect making the
-program proprietary. To prevent this, we have made it clear that any
-patent must be licensed for everyone's free use or not licensed at all.
-
- The precise terms and conditions for copying, distribution and
-modification follow.
-
-@iftex
-@unnumberedsec TERMS AND CONDITIONS FOR COPYING, DISTRIBUTION AND MODIFICATION
-@end iftex
-@ifinfo
-@center TERMS AND CONDITIONS FOR COPYING, DISTRIBUTION AND MODIFICATION
-@end ifinfo
-
-@enumerate 0
-@item
-This License applies to any program or other work which contains
-a notice placed by the copyright holder saying it may be distributed
-under the terms of this General Public License. The ``Program'', below,
-refers to any such program or work, and a ``work based on the Program''
-means either the Program or any derivative work under copyright law:
-that is to say, a work containing the Program or a portion of it,
-either verbatim or with modifications and/or translated into another
-language. (Hereinafter, translation is included without limitation in
-the term ``modification''.) Each licensee is addressed as ``you''.
-
-Activities other than copying, distribution and modification are not
-covered by this License; they are outside its scope. The act of
-running the Program is not restricted, and the output from the Program
-is covered only if its contents constitute a work based on the
-Program (independent of having been made by running the Program).
-Whether that is true depends on what the Program does.
-
-@item
-You may copy and distribute verbatim copies of the Program's
-source code as you receive it, in any medium, provided that you
-conspicuously and appropriately publish on each copy an appropriate
-copyright notice and disclaimer of warranty; keep intact all the
-notices that refer to this License and to the absence of any warranty;
-and give any other recipients of the Program a copy of this License
-along with the Program.
-
-You may charge a fee for the physical act of transferring a copy, and
-you may at your option offer warranty protection in exchange for a fee.
-
-@item
-You may modify your copy or copies of the Program or any portion
-of it, thus forming a work based on the Program, and copy and
-distribute such modifications or work under the terms of Section 1
-above, provided that you also meet all of these conditions:
-
-@enumerate a
-@item
-You must cause the modified files to carry prominent notices
-stating that you changed the files and the date of any change.
-
-@item
-You must cause any work that you distribute or publish, that in
-whole or in part contains or is derived from the Program or any
-part thereof, to be licensed as a whole at no charge to all third
-parties under the terms of this License.
-
-@item
-If the modified program normally reads commands interactively
-when run, you must cause it, when started running for such
-interactive use in the most ordinary way, to print or display an
-announcement including an appropriate copyright notice and a
-notice that there is no warranty (or else, saying that you provide
-a warranty) and that users may redistribute the program under
-these conditions, and telling the user how to view a copy of this
-License. (Exception: if the Program itself is interactive but
-does not normally print such an announcement, your work based on
-the Program is not required to print an announcement.)
-@end enumerate
-
-These requirements apply to the modified work as a whole. If
-identifiable sections of that work are not derived from the Program,
-and can be reasonably considered independent and separate works in
-themselves, then this License, and its terms, do not apply to those
-sections when you distribute them as separate works. But when you
-distribute the same sections as part of a whole which is a work based
-on the Program, the distribution of the whole must be on the terms of
-this License, whose permissions for other licensees extend to the
-entire whole, and thus to each and every part regardless of who wrote it.
-
-Thus, it is not the intent of this section to claim rights or contest
-your rights to work written entirely by you; rather, the intent is to
-exercise the right to control the distribution of derivative or
-collective works based on the Program.
-
-In addition, mere aggregation of another work not based on the Program
-with the Program (or with a work based on the Program) on a volume of
-a storage or distribution medium does not bring the other work under
-the scope of this License.
-
-@item
-You may copy and distribute the Program (or a work based on it,
-under Section 2) in object code or executable form under the terms of
-Sections 1 and 2 above provided that you also do one of the following:
-
-@enumerate a
-@item
-Accompany it with the complete corresponding machine-readable
-source code, which must be distributed under the terms of Sections
-1 and 2 above on a medium customarily used for software interchange; or,
-
-@item
-Accompany it with a written offer, valid for at least three
-years, to give any third party, for a charge no more than your
-cost of physically performing source distribution, a complete
-machine-readable copy of the corresponding source code, to be
-distributed under the terms of Sections 1 and 2 above on a medium
-customarily used for software interchange; or,
-
-@item
-Accompany it with the information you received as to the offer
-to distribute corresponding source code. (This alternative is
-allowed only for noncommercial distribution and only if you
-received the program in object code or executable form with such
-an offer, in accord with Subsection b above.)
-@end enumerate
-
-The source code for a work means the preferred form of the work for
-making modifications to it. For an executable work, complete source
-code means all the source code for all modules it contains, plus any
-associated interface definition files, plus the scripts used to
-control compilation and installation of the executable. However, as a
-special exception, the source code distributed need not include
-anything that is normally distributed (in either source or binary
-form) with the major components (compiler, kernel, and so on) of the
-operating system on which the executable runs, unless that component
-itself accompanies the executable.
-
-If distribution of executable or object code is made by offering
-access to copy from a designated place, then offering equivalent
-access to copy the source code from the same place counts as
-distribution of the source code, even though third parties are not
-compelled to copy the source along with the object code.
-
-@item
-You may not copy, modify, sublicense, or distribute the Program
-except as expressly provided under this License. Any attempt
-otherwise to copy, modify, sublicense or distribute the Program is
-void, and will automatically terminate your rights under this License.
-However, parties who have received copies, or rights, from you under
-this License will not have their licenses terminated so long as such
-parties remain in full compliance.
-
-@item
-You are not required to accept this License, since you have not
-signed it. However, nothing else grants you permission to modify or
-distribute the Program or its derivative works. These actions are
-prohibited by law if you do not accept this License. Therefore, by
-modifying or distributing the Program (or any work based on the
-Program), you indicate your acceptance of this License to do so, and
-all its terms and conditions for copying, distributing or modifying
-the Program or works based on it.
-
-@item
-Each time you redistribute the Program (or any work based on the
-Program), the recipient automatically receives a license from the
-original licensor to copy, distribute or modify the Program subject to
-these terms and conditions. You may not impose any further
-restrictions on the recipients' exercise of the rights granted herein.
-You are not responsible for enforcing compliance by third parties to
-this License.
-
-@item
-If, as a consequence of a court judgment or allegation of patent
-infringement or for any other reason (not limited to patent issues),
-conditions are imposed on you (whether by court order, agreement or
-otherwise) that contradict the conditions of this License, they do not
-excuse you from the conditions of this License. If you cannot
-distribute so as to satisfy simultaneously your obligations under this
-License and any other pertinent obligations, then as a consequence you
-may not distribute the Program at all. For example, if a patent
-license would not permit royalty-free redistribution of the Program by
-all those who receive copies directly or indirectly through you, then
-the only way you could satisfy both it and this License would be to
-refrain entirely from distribution of the Program.
-
-If any portion of this section is held invalid or unenforceable under
-any particular circumstance, the balance of the section is intended to
-apply and the section as a whole is intended to apply in other
-circumstances.
-
-It is not the purpose of this section to induce you to infringe any
-patents or other property right claims or to contest validity of any
-such claims; this section has the sole purpose of protecting the
-integrity of the free software distribution system, which is
-implemented by public license practices. Many people have made
-generous contributions to the wide range of software distributed
-through that system in reliance on consistent application of that
-system; it is up to the author/donor to decide if he or she is willing
-to distribute software through any other system and a licensee cannot
-impose that choice.
-
-This section is intended to make thoroughly clear what is believed to
-be a consequence of the rest of this License.
-
-@item
-If the distribution and/or use of the Program is restricted in
-certain countries either by patents or by copyrighted interfaces, the
-original copyright holder who places the Program under this License
-may add an explicit geographical distribution limitation excluding
-those countries, so that distribution is permitted only in or among
-countries not thus excluded. In such case, this License incorporates
-the limitation as if written in the body of this License.
-
-@item
-The Free Software Foundation may publish revised and/or new versions
-of the General Public License from time to time. Such new versions will
-be similar in spirit to the present version, but may differ in detail to
-address new problems or concerns.
-
-Each version is given a distinguishing version number. If the Program
-specifies a version number of this License which applies to it and ``any
-later version'', you have the option of following the terms and conditions
-either of that version or of any later version published by the Free
-Software Foundation. If the Program does not specify a version number of
-this License, you may choose any version ever published by the Free Software
-Foundation.
-
-@item
-If you wish to incorporate parts of the Program into other free
-programs whose distribution conditions are different, write to the author
-to ask for permission. For software which is copyrighted by the Free
-Software Foundation, write to the Free Software Foundation; we sometimes
-make exceptions for this. Our decision will be guided by the two goals
-of preserving the free status of all derivatives of our free software and
-of promoting the sharing and reuse of software generally.
-
-@iftex
-@heading NO WARRANTY
-@end iftex
-@ifinfo
-@center NO WARRANTY
-@end ifinfo
-
-@item
-BECAUSE THE PROGRAM IS LICENSED FREE OF CHARGE, THERE IS NO WARRANTY
-FOR THE PROGRAM, TO THE EXTENT PERMITTED BY APPLICABLE LAW. EXCEPT WHEN
-OTHERWISE STATED IN WRITING THE COPYRIGHT HOLDERS AND/OR OTHER PARTIES
-PROVIDE THE PROGRAM ``AS IS'' WITHOUT WARRANTY OF ANY KIND, EITHER EXPRESSED
-OR IMPLIED, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF
-MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE. THE ENTIRE RISK AS
-TO THE QUALITY AND PERFORMANCE OF THE PROGRAM IS WITH YOU. SHOULD THE
-PROGRAM PROVE DEFECTIVE, YOU ASSUME THE COST OF ALL NECESSARY SERVICING,
-REPAIR OR CORRECTION.
-
-@item
-IN NO EVENT UNLESS REQUIRED BY APPLICABLE LAW OR AGREED TO IN WRITING
-WILL ANY COPYRIGHT HOLDER, OR ANY OTHER PARTY WHO MAY MODIFY AND/OR
-REDISTRIBUTE THE PROGRAM AS PERMITTED ABOVE, BE LIABLE TO YOU FOR DAMAGES,
-INCLUDING ANY GENERAL, SPECIAL, INCIDENTAL OR CONSEQUENTIAL DAMAGES ARISING
-OUT OF THE USE OR INABILITY TO USE THE PROGRAM (INCLUDING BUT NOT LIMITED
-TO LOSS OF DATA OR DATA BEING RENDERED INACCURATE OR LOSSES SUSTAINED BY
-YOU OR THIRD PARTIES OR A FAILURE OF THE PROGRAM TO OPERATE WITH ANY OTHER
-PROGRAMS), EVEN IF SUCH HOLDER OR OTHER PARTY HAS BEEN ADVISED OF THE
-POSSIBILITY OF SUCH DAMAGES.
-@end enumerate
-
-@iftex
-@heading END OF TERMS AND CONDITIONS
-@end iftex
-@ifinfo
-@center END OF TERMS AND CONDITIONS
-@end ifinfo
-
-@page
-@unnumberedsec Appendix: How to Apply These Terms to Your New Programs
-
- If you develop a new program, and you want it to be of the greatest
-possible use to the public, the best way to achieve this is to make it
-free software which everyone can redistribute and change under these terms.
-
- To do so, attach the following notices to the program. It is safest
-to attach them to the start of each source file to most effectively
-convey the exclusion of warranty; and each file should have at least
-the ``copyright'' line and a pointer to where the full notice is found.
-
-@smallexample
-@var{one line to give the program's name and a brief idea of what it does.}
-Copyright (C) @var{yyyy} @var{name of author}
-
-This program is free software; you can redistribute it and/or modify
-it under the terms of the GNU General Public License as published by
-the Free Software Foundation; either version 2 of the License, or
-(at your option) any later version.
-
-This program 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.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software
-Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301, USA.
-@end smallexample
-
-Also add information on how to contact you by electronic and paper mail.
-
-If the program is interactive, make it output a short notice like this
-when it starts in an interactive mode:
-
-@smallexample
-Gnomovision version 69, Copyright (C) @var{yyyy} @var{name of author}
-Gnomovision comes with ABSOLUTELY NO WARRANTY; for details type `show w'.
-This is free software, and you are welcome to redistribute it
-under certain conditions; type `show c' for details.
-@end smallexample
-
-The hypothetical commands @samp{show w} and @samp{show c} should show
-the appropriate parts of the General Public License. Of course, the
-commands you use may be called something other than @samp{show w} and
-@samp{show c}; they could even be mouse-clicks or menu items---whatever
-suits your program.
-
-You should also get your employer (if you work as a programmer) or your
-school, if any, to sign a ``copyright disclaimer'' for the program, if
-necessary. Here is a sample; alter the names:
-
-@example
-Yoyodyne, Inc., hereby disclaims all copyright interest in the program
-`Gnomovision' (which makes passes at compilers) written by James Hacker.
-
-@var{signature of Ty Coon}, 1 April 1989
-Ty Coon, President of Vice
-@end example
-
-This General Public License does not permit incorporating your program into
-proprietary programs. If your program is a subroutine library, you may
-consider it more useful to permit linking proprietary applications with the
-library. If this is what you want to do, use the GNU Lesser General
-Public License instead of this License.
-
-@node Getting Started, Tutorial, Copying, Top
+@node Getting Started, Interactive Tutorial, Top, Top
@chapter Getting Started
@noindent
This chapter provides a general overview of Calc, the GNU Emacs
...
--**-Emacs: myfile (Fundamental)----All----------------------
---- Emacs Calculator Mode --- |Emacs Calc Mode v2.1 ...
+--- Emacs Calculator Mode --- |Emacs Calculator Trail
2: 17.3 | 17.3
1: -5 | 3
. | 2
@c [fix-ref Embedded Mode]
@xref{Embedded Mode}, for full details.
-@node Other C-x * Commands, , Embedded Mode Overview, Using Calc
+@node Other C-x * Commands, , Embedded Mode Overview, Using Calc
@subsection Other @kbd{C-x *} Commands
@noindent
its initial state: Empty stack, and initial mode settings.
@end table
-@node History and Acknowledgements, , Using Calc, Getting Started
+@node History and Acknowledgements, , Using Calc, Getting Started
@section History and Acknowledgements
@noindent
@ifinfo
@c This node is accessed by the `C-x * t' command.
-@node Interactive Tutorial, , , Top
+@node Interactive Tutorial, Tutorial, Getting Started, Top
@chapter Tutorial
@noindent
@end menu
@end ifinfo
-@node Tutorial, Introduction, Getting Started, Top
+@node Tutorial, Introduction, Interactive Tutorial, Top
@chapter Tutorial
@noindent
of values you can put on the stack. The @kbd{`} key also works
during entry of a number or algebraic formula.
-@node Modes Tutorial, , Undo Tutorial, Basic Tutorial
+@node Modes Tutorial, , Undo Tutorial, Basic Tutorial
@subsection Mode-Setting Commands
@noindent
@noindent
@xref{Matrix Answer 3, 3}. (@bullet{})
-@node List Tutorial, , Matrix Tutorial, Vector/Matrix Tutorial
+@node List Tutorial, , Matrix Tutorial, Vector/Matrix Tutorial
@subsection Vectors as Lists
@noindent
@c hard exercise: simplify (2^(n r) - 2^(r*(n - 1))) / (2^r - 1) 2^(n - 1)
@c to 2^((n-1)*(r-1)).
-@node Rewrites Tutorial, , Basic Algebra Tutorial, Algebra Tutorial
+@node Rewrites Tutorial, , Basic Algebra Tutorial, Algebra Tutorial
@subsection Rewrite Rules
@noindent
@c Volume II of this manual, the @dfn{Calc Reference}, tells the whole story.
@page
-@node Answers to Exercises, , Programming Tutorial, Tutorial
+@node Answers to Exercises, , Programming Tutorial, Tutorial
@section Answers to Exercises
@noindent
definition as it reads it in. For this reason, @code{C-x * m} is often
the easiest way to create recursive programs in Calc.
-@node Programming Answer 12, , Programming Answer 11, Answers to Exercises
+@node Programming Answer 12, , Programming Answer 11, Answers to Exercises
@subsection Programming Tutorial Exercise 12
@noindent
There is only one trail buffer, @samp{*Calc Trail*}, used by all
Calculator buffers.
-@node Troubleshooting Commands, , Multiple Calculators, Introduction
+@node Troubleshooting Commands, , Multiple Calculators, Introduction
@section Troubleshooting Commands
@noindent
The @kbd{C-x * 0} (with the zero key) command also resets caches along
with all other aspects of the Calculator's state.
-@node Debugging Calc, , Caches, Troubleshooting Commands
+@node Debugging Calc, , Caches, Troubleshooting Commands
@subsection Debugging Calc
@noindent
@xref{Store and Recall}, for a discussion of commands dealing with variables.
-@node Formulas, , Variables, Data Types
+@node Formulas, , Variables, Data Types
@section Formulas
@noindent
The @kbd{t .} (@code{calc-full-trail-vectors}) command is described
elsewhere; @pxref{Vector and Matrix Formats}.
-@node Keep Arguments, , Trail Commands, Stack and Trail
+@node Keep Arguments, , Trail Commands, Stack and Trail
@section Keep Arguments
@noindent
automatic recomputation is off, use @w{@kbd{C-x * u}}.
@xref{Embedded Mode}.
-@node Working Message, , Automatic Recomputation, Calculation Modes
+@node Working Message, , Automatic Recomputation, Calculation Modes
@subsection Working Messages
@noindent
or @kbd{s D} to check to make sure you don't still have an old
declaration for the variable that will conflict with its new meaning.
-@node Functions for Declarations, , Kinds of Declarations, Declarations
+@node Functions for Declarations, , Kinds of Declarations, Declarations
@subsection Functions for Declarations
@noindent
If you always enter a four-digit year, and use a name instead
of a number for the month, there is no danger of ambiguity.
-@node Standard Date Formats, , Free-Form Dates, Date Formats
+@node Standard Date Formats, , Free-Form Dates, Date Formats
@subsubsection Standard Date Formats
@noindent
case, the display is formatted as specified, and then uniformly
shifted over four spaces to fit the line numbers.
-@node Labels, , Justification, Display Modes
+@node Labels, , Justification, Display Modes
@subsection Labels
@noindent
returns 1. The only formula for which @code{cascent} will return zero
is @samp{cvspace(0)} or equivalents.
-@node User-Defined Compositions, , Information about Compositions, Compositions
+@node User-Defined Compositions, , Information about Compositions, Compositions
@subsubsection User-Defined Compositions
@noindent
You can save your display formats permanently using the @kbd{Z P}
command (@pxref{Creating User Keys}).
-@node Syntax Tables, , Compositions, Language Modes
+@node Syntax Tables, , Compositions, Language Modes
@subsection Syntax Tables
@noindent
backtracking. A fully backtracking parser would go on to make sure
the rest of the pattern matched before finalizing the choice.
-@node Conditional Syntax Rules, , Advanced Syntax Patterns, Syntax Tables
+@node Conditional Syntax Rules, , Advanced Syntax Patterns, Syntax Tables
@subsubsection Conditional Syntax Rules
@noindent
do a full emulation with the help of the @kbd{Z [} and @kbd{Z ]}
programming commands. @xref{Conditionals in Macros}.)
-@node Calc Mode Line, , Modes Variable, Mode Settings
+@node Calc Mode Line, , Modes Variable, Mode Settings
@section The Calc Mode Line
@noindent
@mindex @null
@end ignore
@tindex /
-The @kbd{/} (@code{calc-divide}) command divides two numbers. When
-dividing a scalar @expr{B} by a square matrix @expr{A}, the computation
-performed is @expr{B} times the inverse of @expr{A}. This also occurs
-if @expr{B} is itself a vector or matrix, in which case the effect is
-to solve the set of linear equations represented by @expr{B}. If @expr{B}
-is a matrix with the same number of rows as @expr{A}, or a plain vector
-(which is interpreted here as a column vector), then the equation
-@expr{A X = B} is solved for the vector or matrix @expr{X}. Otherwise,
-if @expr{B} is a non-square matrix with the same number of @emph{columns}
-as @expr{A}, the equation @expr{X A = B} is solved. If you wish a vector
-@expr{B} to be interpreted as a row vector to be solved as @expr{X A = B},
-make it into a one-row matrix with @kbd{C-u 1 v p} first. To force a
-left-handed solution with a square matrix @expr{B}, transpose @expr{A} and
-@expr{B} before dividing, then transpose the result.
+The @kbd{/} (@code{calc-divide}) command divides two numbers. Note that
+when using algebraic entry, @samp{/} has lower precedence than @samp{*},
+so that @samp{a/b*c} is interpreted as @samp{a/(b*c)}.
+
+When dividing a scalar @expr{B} by a square matrix @expr{A}, the
+computation performed is @expr{B} times the inverse of @expr{A}. This
+also occurs if @expr{B} is itself a vector or matrix, in which case the
+effect is to solve the set of linear equations represented by @expr{B}.
+If @expr{B} is a matrix with the same number of rows as @expr{A}, or a
+plain vector (which is interpreted here as a column vector), then the
+equation @expr{A X = B} is solved for the vector or matrix @expr{X}.
+Otherwise, if @expr{B} is a non-square matrix with the same number of
+@emph{columns} as @expr{A}, the equation @expr{X A = B} is solved. If
+you wish a vector @expr{B} to be interpreted as a row vector to be
+solved as @expr{X A = B}, make it into a one-row matrix with @kbd{C-u 1
+v p} first. To force a left-handed solution with a square matrix
+@expr{B}, transpose @expr{A} and @expr{B} before dividing, then
+transpose the result.
HMS forms can be divided by real numbers or by other HMS forms. Error
forms can be divided in any combination of ways. Modulo forms where both
holiday, as defined in @code{Holidays}, or 0 if the date is a
business day.
-@node Time Zones, , Business Days, Date Arithmetic
+@node Time Zones, , Business Days, Date Arithmetic
@subsection Time Zones
@noindent
the total depreciation in any method is (by definition) the
difference between the cost and the salvage value.
-@node Definitions of Financial Functions, , Depreciation Functions, Financial Functions
+@node Definitions of Financial Functions, , Depreciation Functions, Financial Functions
@subsection Definitions
@noindent
function returns the amount the book value decreased in the specified
period.
-@node Binary Functions, , Financial Functions, Arithmetic
+@node Binary Functions, , Financial Functions, Arithmetic
@section Binary Number Functions
@noindent
* Random Number Generator:: (Complete description of Calc's algorithm)
@end menu
-@node Random Number Generator, , Random Numbers, Random Numbers
+@node Random Number Generator, , Random Numbers, Random Numbers
@subsection Random Number Generator
Calc's random number generator uses several methods to ensure that
duplicate factors (i.e., can be divided by the same prime more than once),
the result is zero.
-@node Probability Distribution Functions, , Combinatorial Functions, Scientific Functions
+@node Probability Distribution Functions, , Combinatorial Functions, Scientific Functions
@section Probability Distribution Functions
@noindent
in this section. For example, @samp{vflat(1, [2, [3, 4]], 5)}
returns @samp{[1, 2, 3, 4, 5]}.
-@node Paired-Sample Statistics, , Single-Variable Statistics, Statistical Operations
+@node Paired-Sample Statistics, , Single-Variable Statistics, Statistical Operations
@subsection Paired-Sample Statistics
@noindent
stopping when the result is correct within the specified tolerance, or
when 20 steps have been taken, whichever is sooner.
-@node Generalized Products, , Nesting and Fixed Points, Reducing and Mapping
+@node Generalized Products, , Nesting and Fixed Points, Reducing and Mapping
@subsection Generalized Products
@kindex V O
first (multiplicative) operator is taken from the top of the stack
and the second (additive) operator is taken from second-to-top.
-@node Vector and Matrix Formats, , Reducing and Mapping, Matrix Functions
+@node Vector and Matrix Formats, , Reducing and Mapping, Matrix Functions
@section Vector and Matrix Display Formats
@noindent
@end group
@end smallexample
-@node Rearranging with Selections, , Operating on Selections, Selecting Subformulas
+@node Rearranging with Selections, , Operating on Selections, Selecting Subformulas
@subsection Rearranging Formulas using Selections
@noindent
The @kbd{a M /} command can be used to divide a factor out of
both sides of an inequality.
-@node Simplification of Units, , Unsafe Simplifications, Simplifying Formulas
+@node Simplification of Units, , Unsafe Simplifications, Simplifying Formulas
@subsection Simplification of Units
@noindent
by Calc's symbolic integrator, for example), but @kbd{a I} will fail
because the integrand goes to infinity at one of the endpoints.
-@node Taylor Series, , Numerical Integration, Calculus
+@node Taylor Series, , Numerical Integration, Calculus
@subsection Taylor Series
@noindent
equations is the @kbd{a F} command, which does least-squares fitting
to satisfy the equations. @xref{Curve Fitting}.
-@node Decomposing Polynomials, , Solving Systems of Equations, Solving Equations
+@node Decomposing Polynomials, , Solving Systems of Equations, Solving Equations
@subsection Decomposing Polynomials
@noindent
over the complex numbers; if it is real or an interval it will
be minimized over the reals.
-@node Numerical Systems of Equations, , Minimization, Numerical Solutions
+@node Numerical Systems of Equations, , Minimization, Numerical Solutions
@subsection Systems of Equations
@noindent
The @code{efit} (corresponding to @kbd{H a F}) and @code{xfit}
(for @kbd{I a F}) functions are completely analogous.
-@node Interpolation, , Curve Fitting Details, Curve Fitting
+@node Interpolation, , Curve Fitting Details, Curve Fitting
@subsection Polynomial Interpolation
@kindex a p
it returns 0 when @code{dnonzero} would return 0 or leave itself
in symbolic form.)
-@node Rewrite Rules, , Logical Operations, Algebra
+@node Rewrite Rules, , Logical Operations, Algebra
@section Rewrite Rules
@noindent
existence and forget about it, all your future rewrite commands will
be needlessly slow.
-@node Examples of Rewrite Rules, , Debugging Rewrites, Rewrite Rules
+@node Examples of Rewrite Rules, , Debugging Rewrites, Rewrite Rules
@subsection Examples of Rewrite Rules
@noindent
@c Describe angular units, luminosity vs. steradians problem.
-@node User-Defined Units, , Predefined Units, Units
+@node User-Defined Units, , Predefined Units, Units
@section User-Defined Units
@noindent
produce @samp{f(2 pi)}, whereas @kbd{s l} would give @samp{f(6.28)}
since the evaluation step will also evaluate @code{pi}.
-@node Evaluates-To Operator, , Let Command, Store and Recall
+@node Evaluates-To Operator, , Let Command, Store and Recall
@section The Evaluates-To Operator
@noindent
still be assigned automatically, but you could store another vector in
@code{PointStyles} to define them, too.
-@node Devices, , Graphics Options, Graphics
+@node Devices, , Graphics Options, Graphics
@section Graphical Devices
@noindent
it can be typed anywhere, not just in Calc. This provides an easy
way to guarantee that Calc knows which editing buffer you want to use!
-@node X Cut and Paste, , Yanking Into Buffers, Kill and Yank
+@node X Cut and Paste, , Yanking Into Buffers, Kill and Yank
@section X Cut and Paste
@noindent
@kbd{"x"} key pushes the variable names @expr{y}, @expr{z}, and
@expr{t}, respectively.
-@node Keypad Modes Menu, , Keypad Vectors Menu, Keypad Mode
+@node Keypad Modes Menu, , Keypad Vectors Menu, Keypad Mode
@section Modes Menu
@smallexample
When Embedded mode is not enabled, mode-recording modes except
for @code{Save} have no effect.
-@node Customizing Embedded Mode, , Mode Settings in Embedded Mode, Embedded Mode
+@node Customizing Embedded Mode, , Mode Settings in Embedded Mode, Embedded Mode
@section Customizing Embedded Mode
@noindent
major modes. If you change this, it is a good idea still to end with a
newline so that mode annotations will appear on lines by themselves.
-@node Programming, Customizing Calc, Embedded Mode, Top
+@node Programming, Copying, Embedded Mode, Top
@chapter Programming
@noindent
other settings such as the language mode and the various display modes,
are @emph{not} affected by @kbd{Z `} and @kbd{Z '}.
-@node Queries in Macros, , Local Values in Macros, Keyboard Macros
+@node Queries in Macros, , Local Values in Macros, Keyboard Macros
@subsection Queries in Keyboard Macros
@c @noindent
in symbolic form without ever activating the @code{deriv} function. Press
@kbd{m D} to turn the default simplifications back on afterwards.
-@node Lisp Definitions, , Algebraic Definitions, Programming
+@node Lisp Definitions, , Algebraic Definitions, Programming
@section Programming with Lisp
@noindent
a division by 512 in disguise; @code{idivmod} allows us to do the
same thing with a single division by 512.
-@node Sine Example, , Bit Counting Example, Example Definitions
+@node Sine Example, , Bit Counting Example, Example Definitions
@subsubsection The Sine Function
@noindent
``F'' and ``C'', so that the character winds up before the cursor
instead of after it.
-@node Internals, , Calling Calc from Your Programs, Lisp Definitions
+@node Internals, , Calling Calc from Your Programs, Lisp Definitions
@subsection Calculator Internals
@noindent
@comment @noindent
@comment (This section is currently unfinished.)
-@node Hooks, , Formatting Lisp Functions, Internals
+@node Hooks, , Formatting Lisp Functions, Internals
@subsubsection Hooks
@noindent
list and also call @code{make-local-variable} itself.
@end defvar
-@node Customizing Calc, Reporting Bugs, Programming, Top
+@node Copying, GNU Free Documentation License, Programming, Top
+@appendix GNU GENERAL PUBLIC LICENSE
+@center Version 2, June 1991
+
+@c This file is intended to be included in another file.
+
+@display
+Copyright @copyright{} 1989, 1991 Free Software Foundation, Inc.
+51 Franklin Street, Fifth Floor, Boston, MA 02110-1301, USA
+
+Everyone is permitted to copy and distribute verbatim copies
+of this license document, but changing it is not allowed.
+@end display
+
+@unnumberedsec Preamble
+
+ The licenses for most software are designed to take away your
+freedom to share and change it. By contrast, the GNU General Public
+License is intended to guarantee your freedom to share and change free
+software---to make sure the software is free for all its users. This
+General Public License applies to most of the Free Software
+Foundation's software and to any other program whose authors commit to
+using it. (Some other Free Software Foundation software is covered by
+the GNU Lesser General Public License instead.) You can apply it to
+your programs, too.
+
+ When we speak of free software, we are referring to freedom, not
+price. Our General Public Licenses are designed to make sure that you
+have the freedom to distribute copies of free software (and charge for
+this service if you wish), that you receive source code or can get it
+if you want it, that you can change the software or use pieces of it
+in new free programs; and that you know you can do these things.
+
+ To protect your rights, we need to make restrictions that forbid
+anyone to deny you these rights or to ask you to surrender the rights.
+These restrictions translate to certain responsibilities for you if you
+distribute copies of the software, or if you modify it.
+
+ For example, if you distribute copies of such a program, whether
+gratis or for a fee, you must give the recipients all the rights that
+you have. You must make sure that they, too, receive or can get the
+source code. And you must show them these terms so they know their
+rights.
+
+ We protect your rights with two steps: (1) copyright the software, and
+(2) offer you this license which gives you legal permission to copy,
+distribute and/or modify the software.
+
+ Also, for each author's protection and ours, we want to make certain
+that everyone understands that there is no warranty for this free
+software. If the software is modified by someone else and passed on, we
+want its recipients to know that what they have is not the original, so
+that any problems introduced by others will not reflect on the original
+authors' reputations.
+
+ Finally, any free program is threatened constantly by software
+patents. We wish to avoid the danger that redistributors of a free
+program will individually obtain patent licenses, in effect making the
+program proprietary. To prevent this, we have made it clear that any
+patent must be licensed for everyone's free use or not licensed at all.
+
+ The precise terms and conditions for copying, distribution and
+modification follow.
+
+@iftex
+@unnumberedsec TERMS AND CONDITIONS FOR COPYING, DISTRIBUTION AND MODIFICATION
+@end iftex
+@ifinfo
+@center TERMS AND CONDITIONS FOR COPYING, DISTRIBUTION AND MODIFICATION
+@end ifinfo
+
+@enumerate 0
+@item
+This License applies to any program or other work which contains
+a notice placed by the copyright holder saying it may be distributed
+under the terms of this General Public License. The ``Program'', below,
+refers to any such program or work, and a ``work based on the Program''
+means either the Program or any derivative work under copyright law:
+that is to say, a work containing the Program or a portion of it,
+either verbatim or with modifications and/or translated into another
+language. (Hereinafter, translation is included without limitation in
+the term ``modification''.) Each licensee is addressed as ``you''.
+
+Activities other than copying, distribution and modification are not
+covered by this License; they are outside its scope. The act of
+running the Program is not restricted, and the output from the Program
+is covered only if its contents constitute a work based on the
+Program (independent of having been made by running the Program).
+Whether that is true depends on what the Program does.
+
+@item
+You may copy and distribute verbatim copies of the Program's
+source code as you receive it, in any medium, provided that you
+conspicuously and appropriately publish on each copy an appropriate
+copyright notice and disclaimer of warranty; keep intact all the
+notices that refer to this License and to the absence of any warranty;
+and give any other recipients of the Program a copy of this License
+along with the Program.
+
+You may charge a fee for the physical act of transferring a copy, and
+you may at your option offer warranty protection in exchange for a fee.
+
+@item
+You may modify your copy or copies of the Program or any portion
+of it, thus forming a work based on the Program, and copy and
+distribute such modifications or work under the terms of Section 1
+above, provided that you also meet all of these conditions:
+
+@enumerate a
+@item
+You must cause the modified files to carry prominent notices
+stating that you changed the files and the date of any change.
+
+@item
+You must cause any work that you distribute or publish, that in
+whole or in part contains or is derived from the Program or any
+part thereof, to be licensed as a whole at no charge to all third
+parties under the terms of this License.
+
+@item
+If the modified program normally reads commands interactively
+when run, you must cause it, when started running for such
+interactive use in the most ordinary way, to print or display an
+announcement including an appropriate copyright notice and a
+notice that there is no warranty (or else, saying that you provide
+a warranty) and that users may redistribute the program under
+these conditions, and telling the user how to view a copy of this
+License. (Exception: if the Program itself is interactive but
+does not normally print such an announcement, your work based on
+the Program is not required to print an announcement.)
+@end enumerate
+
+These requirements apply to the modified work as a whole. If
+identifiable sections of that work are not derived from the Program,
+and can be reasonably considered independent and separate works in
+themselves, then this License, and its terms, do not apply to those
+sections when you distribute them as separate works. But when you
+distribute the same sections as part of a whole which is a work based
+on the Program, the distribution of the whole must be on the terms of
+this License, whose permissions for other licensees extend to the
+entire whole, and thus to each and every part regardless of who wrote it.
+
+Thus, it is not the intent of this section to claim rights or contest
+your rights to work written entirely by you; rather, the intent is to
+exercise the right to control the distribution of derivative or
+collective works based on the Program.
+
+In addition, mere aggregation of another work not based on the Program
+with the Program (or with a work based on the Program) on a volume of
+a storage or distribution medium does not bring the other work under
+the scope of this License.
+
+@item
+You may copy and distribute the Program (or a work based on it,
+under Section 2) in object code or executable form under the terms of
+Sections 1 and 2 above provided that you also do one of the following:
+
+@enumerate a
+@item
+Accompany it with the complete corresponding machine-readable
+source code, which must be distributed under the terms of Sections
+1 and 2 above on a medium customarily used for software interchange; or,
+
+@item
+Accompany it with a written offer, valid for at least three
+years, to give any third party, for a charge no more than your
+cost of physically performing source distribution, a complete
+machine-readable copy of the corresponding source code, to be
+distributed under the terms of Sections 1 and 2 above on a medium
+customarily used for software interchange; or,
+
+@item
+Accompany it with the information you received as to the offer
+to distribute corresponding source code. (This alternative is
+allowed only for noncommercial distribution and only if you
+received the program in object code or executable form with such
+an offer, in accord with Subsection b above.)
+@end enumerate
+
+The source code for a work means the preferred form of the work for
+making modifications to it. For an executable work, complete source
+code means all the source code for all modules it contains, plus any
+associated interface definition files, plus the scripts used to
+control compilation and installation of the executable. However, as a
+special exception, the source code distributed need not include
+anything that is normally distributed (in either source or binary
+form) with the major components (compiler, kernel, and so on) of the
+operating system on which the executable runs, unless that component
+itself accompanies the executable.
+
+If distribution of executable or object code is made by offering
+access to copy from a designated place, then offering equivalent
+access to copy the source code from the same place counts as
+distribution of the source code, even though third parties are not
+compelled to copy the source along with the object code.
+
+@item
+You may not copy, modify, sublicense, or distribute the Program
+except as expressly provided under this License. Any attempt
+otherwise to copy, modify, sublicense or distribute the Program is
+void, and will automatically terminate your rights under this License.
+However, parties who have received copies, or rights, from you under
+this License will not have their licenses terminated so long as such
+parties remain in full compliance.
+
+@item
+You are not required to accept this License, since you have not
+signed it. However, nothing else grants you permission to modify or
+distribute the Program or its derivative works. These actions are
+prohibited by law if you do not accept this License. Therefore, by
+modifying or distributing the Program (or any work based on the
+Program), you indicate your acceptance of this License to do so, and
+all its terms and conditions for copying, distributing or modifying
+the Program or works based on it.
+
+@item
+Each time you redistribute the Program (or any work based on the
+Program), the recipient automatically receives a license from the
+original licensor to copy, distribute or modify the Program subject to
+these terms and conditions. You may not impose any further
+restrictions on the recipients' exercise of the rights granted herein.
+You are not responsible for enforcing compliance by third parties to
+this License.
+
+@item
+If, as a consequence of a court judgment or allegation of patent
+infringement or for any other reason (not limited to patent issues),
+conditions are imposed on you (whether by court order, agreement or
+otherwise) that contradict the conditions of this License, they do not
+excuse you from the conditions of this License. If you cannot
+distribute so as to satisfy simultaneously your obligations under this
+License and any other pertinent obligations, then as a consequence you
+may not distribute the Program at all. For example, if a patent
+license would not permit royalty-free redistribution of the Program by
+all those who receive copies directly or indirectly through you, then
+the only way you could satisfy both it and this License would be to
+refrain entirely from distribution of the Program.
+
+If any portion of this section is held invalid or unenforceable under
+any particular circumstance, the balance of the section is intended to
+apply and the section as a whole is intended to apply in other
+circumstances.
+
+It is not the purpose of this section to induce you to infringe any
+patents or other property right claims or to contest validity of any
+such claims; this section has the sole purpose of protecting the
+integrity of the free software distribution system, which is
+implemented by public license practices. Many people have made
+generous contributions to the wide range of software distributed
+through that system in reliance on consistent application of that
+system; it is up to the author/donor to decide if he or she is willing
+to distribute software through any other system and a licensee cannot
+impose that choice.
+
+This section is intended to make thoroughly clear what is believed to
+be a consequence of the rest of this License.
+
+@item
+If the distribution and/or use of the Program is restricted in
+certain countries either by patents or by copyrighted interfaces, the
+original copyright holder who places the Program under this License
+may add an explicit geographical distribution limitation excluding
+those countries, so that distribution is permitted only in or among
+countries not thus excluded. In such case, this License incorporates
+the limitation as if written in the body of this License.
+
+@item
+The Free Software Foundation may publish revised and/or new versions
+of the General Public License from time to time. Such new versions will
+be similar in spirit to the present version, but may differ in detail to
+address new problems or concerns.
+
+Each version is given a distinguishing version number. If the Program
+specifies a version number of this License which applies to it and ``any
+later version'', you have the option of following the terms and conditions
+either of that version or of any later version published by the Free
+Software Foundation. If the Program does not specify a version number of
+this License, you may choose any version ever published by the Free Software
+Foundation.
+
+@item
+If you wish to incorporate parts of the Program into other free
+programs whose distribution conditions are different, write to the author
+to ask for permission. For software which is copyrighted by the Free
+Software Foundation, write to the Free Software Foundation; we sometimes
+make exceptions for this. Our decision will be guided by the two goals
+of preserving the free status of all derivatives of our free software and
+of promoting the sharing and reuse of software generally.
+
+@iftex
+@heading NO WARRANTY
+@end iftex
+@ifinfo
+@center NO WARRANTY
+@end ifinfo
+
+@item
+BECAUSE THE PROGRAM IS LICENSED FREE OF CHARGE, THERE IS NO WARRANTY
+FOR THE PROGRAM, TO THE EXTENT PERMITTED BY APPLICABLE LAW. EXCEPT WHEN
+OTHERWISE STATED IN WRITING THE COPYRIGHT HOLDERS AND/OR OTHER PARTIES
+PROVIDE THE PROGRAM ``AS IS'' WITHOUT WARRANTY OF ANY KIND, EITHER EXPRESSED
+OR IMPLIED, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF
+MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE. THE ENTIRE RISK AS
+TO THE QUALITY AND PERFORMANCE OF THE PROGRAM IS WITH YOU. SHOULD THE
+PROGRAM PROVE DEFECTIVE, YOU ASSUME THE COST OF ALL NECESSARY SERVICING,
+REPAIR OR CORRECTION.
+
+@item
+IN NO EVENT UNLESS REQUIRED BY APPLICABLE LAW OR AGREED TO IN WRITING
+WILL ANY COPYRIGHT HOLDER, OR ANY OTHER PARTY WHO MAY MODIFY AND/OR
+REDISTRIBUTE THE PROGRAM AS PERMITTED ABOVE, BE LIABLE TO YOU FOR DAMAGES,
+INCLUDING ANY GENERAL, SPECIAL, INCIDENTAL OR CONSEQUENTIAL DAMAGES ARISING
+OUT OF THE USE OR INABILITY TO USE THE PROGRAM (INCLUDING BUT NOT LIMITED
+TO LOSS OF DATA OR DATA BEING RENDERED INACCURATE OR LOSSES SUSTAINED BY
+YOU OR THIRD PARTIES OR A FAILURE OF THE PROGRAM TO OPERATE WITH ANY OTHER
+PROGRAMS), EVEN IF SUCH HOLDER OR OTHER PARTY HAS BEEN ADVISED OF THE
+POSSIBILITY OF SUCH DAMAGES.
+@end enumerate
+
+@iftex
+@heading END OF TERMS AND CONDITIONS
+@end iftex
+@ifinfo
+@center END OF TERMS AND CONDITIONS
+@end ifinfo
+
+@page
+@unnumberedsec Appendix: How to Apply These Terms to Your New Programs
+
+ If you develop a new program, and you want it to be of the greatest
+possible use to the public, the best way to achieve this is to make it
+free software which everyone can redistribute and change under these terms.
+
+ To do so, attach the following notices to the program. It is safest
+to attach them to the start of each source file to most effectively
+convey the exclusion of warranty; and each file should have at least
+the ``copyright'' line and a pointer to where the full notice is found.
+
+@smallexample
+@var{one line to give the program's name and a brief idea of what it does.}
+Copyright (C) @var{yyyy} @var{name of author}
+
+This program is free software; you can redistribute it and/or modify
+it under the terms of the GNU General Public License as published by
+the Free Software Foundation; either version 2 of the License, or
+(at your option) any later version.
+
+This program 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.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software
+Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301, USA.
+@end smallexample
+
+Also add information on how to contact you by electronic and paper mail.
+
+If the program is interactive, make it output a short notice like this
+when it starts in an interactive mode:
+
+@smallexample
+Gnomovision version 69, Copyright (C) @var{yyyy} @var{name of author}
+Gnomovision comes with ABSOLUTELY NO WARRANTY; for details type `show w'.
+This is free software, and you are welcome to redistribute it
+under certain conditions; type `show c' for details.
+@end smallexample
+
+The hypothetical commands @samp{show w} and @samp{show c} should show
+the appropriate parts of the General Public License. Of course, the
+commands you use may be called something other than @samp{show w} and
+@samp{show c}; they could even be mouse-clicks or menu items---whatever
+suits your program.
+
+You should also get your employer (if you work as a programmer) or your
+school, if any, to sign a ``copyright disclaimer'' for the program, if
+necessary. Here is a sample; alter the names:
+
+@example
+Yoyodyne, Inc., hereby disclaims all copyright interest in the program
+`Gnomovision' (which makes passes at compilers) written by James Hacker.
+
+@var{signature of Ty Coon}, 1 April 1989
+Ty Coon, President of Vice
+@end example
+
+This General Public License does not permit incorporating your program into
+proprietary programs. If your program is a subroutine library, you may
+consider it more useful to permit linking proprietary applications with the
+library. If this is what you want to do, use the GNU Lesser General
+Public License instead of this License.
+
+@node GNU Free Documentation License, Customizing Calc, Copying, Top
+@appendix GNU Free Documentation License
+@include doclicense.texi
+
+@node Customizing Calc, Reporting Bugs, GNU Free Documentation License, Top
@appendix Customizing Calc
The usual prefix for Calc is the key sequence @kbd{C-x *}. If you wish
@printindex vr
-@node Lisp Function Index, , Variable Index, Top
+@node Lisp Function Index, , Variable Index, Top
@unnumbered Index of Lisp Math Functions
The following functions are meant to be used with @code{defmath}, not