(Title page): Remove the date.

(The Standard Calc Interface): Change the trail title.
(Basic Arithmetic): Emphasize that / binds less strongly than *.
(Copying): Move to the appendices.
(GNU Free Documentation License): Add as an appendix.

1 files changed, 474 insertions, 467 deletions

diff --git a/man/calc.texi b/man/calc.texi
index 64ee0b0c93a..15207cc59b8 100644
--- a/man/calc.texi
+++ b/man/calc.texi
@@ -92,7 +92,8 @@ under the terms of the GNU Free Documentation License, Version 1.2 or
 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
@@ -111,8 +112,6 @@ Software Foundation raise funds for GNU development.''
 @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
@@ -126,7 +125,7 @@ Copyright @copyright{} 1990, 1991, 2001, 2002, 2003, 2004,
 
 @c [begin]
 @ifinfo
-@node Top, , (dir), (dir)
+@node Top, Getting Started, (dir), (dir)
 @chapter The GNU Emacs Calculator
 
 @noindent
@@ -145,8 +144,6 @@ longer Info tutorial.)
 
 @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.
@@ -167,7 +164,9 @@ longer Info tutorial.)
 * 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.
@@ -180,400 +179,7 @@ longer Info tutorial.)
 * 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
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-
-  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
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-  Finally, any free program is threatened constantly by software
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-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''
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-the term ``modification''.)  Each licensee is addressed as ``you''.
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-Activities other than copying, distribution and modification are not
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-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
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-along with the Program.
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-You may charge a fee for the physical act of transferring a copy, and
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-You may copy and distribute the Program (or a work based on it,
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-
-@enumerate a
-@item
-Accompany it with the complete corresponding machine-readable
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-Accompany it with a written offer, valid for at least three
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-@item
-Accompany it with the information you received as to the offer
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-
-The source code for a work means the preferred form of the work for
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-
-@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
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-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
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-excuse you from the conditions of this License.  If you cannot
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-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.
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-If any portion of this section is held invalid or unenforceable under
-any particular circumstance, the balance of the section is intended to
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-It is not the purpose of this section to induce you to infringe any
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-integrity of the free software distribution system, which is
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-generous contributions to the wide range of software distributed
-through that system in reliance on consistent application of that
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-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
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-make exceptions for this.  Our decision will be guided by the two goals
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-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
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-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
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-TO LOSS OF DATA OR DATA BEING RENDERED INACCURATE OR LOSSES SUSTAINED BY
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-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
@@ -1019,7 +625,7 @@ with the file you were editing on top and Calc on the bottom.
 
 ...
 --**-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
@@ -1348,7 +954,7 @@ A slope of one-third corresponds to an angle of 18.4349488229 degrees.
 @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
@@ -1514,7 +1120,7 @@ and record them as the current keyboard macro.
 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
@@ -1617,7 +1223,7 @@ finished in two weeks.
 
 @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
@@ -1647,7 +1253,7 @@ Press @kbd{1} now to enter the first section of the Tutorial.
 @end menu
 @end ifinfo
 
-@node Tutorial, Introduction, Getting Started, Top
+@node Tutorial, Introduction, Interactive Tutorial, Top
 @chapter Tutorial
 
 @noindent
@@ -2557,7 +2163,7 @@ new number.  This works for formulas, vectors, and all other types
 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
@@ -3895,7 +3501,7 @@ $$
 @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
@@ -5645,7 +5251,7 @@ details and examples.
 @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
@@ -6761,7 +6367,7 @@ The rest of this manual tells the whole story.
 @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
@@ -9949,7 +9555,7 @@ first, because @code{read-kbd-macro} doesn't need to execute the
 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
@@ -10742,7 +10348,7 @@ the stack and mode settings of the buffer being quit as the new defaults.
 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
@@ -10833,7 +10439,7 @@ If you suspect a Calculator cache has become corrupt, you can use the
 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
@@ -11910,7 +11516,7 @@ a value into any of these special variables.
 
 @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
@@ -12356,7 +11962,7 @@ kills the @var{n} lines below or above the selected one.
 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
@@ -12858,7 +12464,7 @@ To update @samp{=>} operators in an Embedded buffer while
 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
@@ -13239,7 +12845,7 @@ using a variable for a new purpose, it is best to use @kbd{s d}
 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
@@ -13939,7 +13545,7 @@ minus sign on the year value.
 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
@@ -14074,7 +13680,7 @@ when positioning by explicit origins and widths.  In the latter
 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
@@ -15365,7 +14971,7 @@ For @samp{a / b} in Big mode, @code{cascent} returns 2 and @code{cdescent}
 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
@@ -15496,7 +15102,7 @@ produce a large, unwieldy integer.
 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
@@ -15829,7 +15435,7 @@ backs up and tries the other alternative.  Thus Calc has ``partial''
 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
@@ -16005,7 +15611,7 @@ would not work for fixed-point mode, but it wouldn't be hard to
 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
@@ -16366,20 +15972,24 @@ whereas @w{@samp{[-2 ..@: 3] ^ 2}} is @samp{[0 ..@: 9]}.
 @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
@@ -17363,7 +16973,7 @@ any date form and returns 1 if that date falls on a weekend or
 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
@@ -18010,7 +17620,7 @@ Summing columns with @kbd{V R : +} yields @expr{[10000, 10000, 10000]};
 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
@@ -18165,7 +17775,7 @@ and the depreciation is zero for all subsequent periods.  The @code{ddb}
 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
@@ -19096,7 +18706,7 @@ elements of this vector.  @xref{Matrix Functions}.
 * 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
@@ -19412,7 +19022,7 @@ distinct factors, this is @expr{(-1)^k}.  If the input number has any
 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
@@ -20862,7 +20472,7 @@ arguments, interpreted in the same way as the other functions
 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
@@ -21354,7 +20964,7 @@ computes the square root of @samp{A} given the initial guess @samp{B},
 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
@@ -21389,7 +20999,7 @@ use @kbd{$} twice to take both operator formulas from the stack, the
 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
@@ -22010,7 +21620,7 @@ to be simplified.
 @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
@@ -23108,7 +22718,7 @@ on whether you believe @expr{x} is positive or negative).
 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
@@ -23742,7 +23352,7 @@ The integral of @samp{1/sqrt(x)} from 0 to 1 exists (it can be found
 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
@@ -23988,7 +23598,7 @@ Another way to deal with certain kinds of overdetermined systems of
 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
@@ -24299,7 +23909,7 @@ the initial guess is a complex number the variable will be minimized
 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
@@ -25347,7 +24957,7 @@ linearizer was unable to put the model into the required form.
 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
@@ -25944,7 +25554,7 @@ declarations are used when deciding whether a formula is true;
 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
@@ -27611,7 +27221,7 @@ buffer (with @kbd{C-x k *Trace* @key{RET}}).  If you leave it in
 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
@@ -28033,7 +27643,7 @@ really is unitless.)
 
 @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
@@ -28577,7 +28187,7 @@ example, letting @expr{n=2} in @samp{f(n pi)} with @kbd{a b} will
 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
@@ -29210,7 +28820,7 @@ lines, and the third curve to have lines in style 3.  Point styles will
 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
@@ -29641,7 +29251,7 @@ The @kbd{C-x * y} key sequence is equivalent to @kbd{y} except that
 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
@@ -30011,7 +29621,7 @@ With @key{INV}, @key{HYP}, or @key{INV} and @key{HYP}, the
 @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
@@ -30803,7 +30413,7 @@ annotations at all.
 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
@@ -30957,7 +30567,7 @@ is simply a newline, @code{"\n"}, but may be different for different
 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
@@ -31410,7 +31020,7 @@ The contents of the stack and trail, values of non-quick variables, and
 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
@@ -31595,7 +31205,7 @@ default simplifications cures this problem:  The definition will be stored
 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
@@ -32300,7 +31910,7 @@ actually they are less efficient because each operation is really
 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
@@ -32780,7 +32390,7 @@ Note the use of @code{insert-before-markers} when changing between
 ``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
@@ -34672,7 +34282,7 @@ If composition @var{c} is a ``flat'' composition, return the last
 @comment @noindent
 @comment (This section is currently unfinished.)
 
-@node Hooks, , Formatting Lisp Functions, Internals
+@node Hooks,  , Formatting Lisp Functions, Internals
 @subsubsection Hooks
 
 @noindent
@@ -34836,7 +34446,404 @@ used the first time, your hook should add a variable to the
 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.
+
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+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
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+
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+(2) offer you this license which gives you legal permission to copy,
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+
+  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
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+
+  Finally, any free program is threatened constantly by software
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+
+@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
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+
+Activities other than copying, distribution and modification are not
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+running the Program is not restricted, and the output from the Program
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+
+@item
+You may copy and distribute verbatim copies of the Program's
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+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
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+
+@item
+You may modify your copy or copies of the Program or any portion
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+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
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+parties under the terms of this License.
+
+@item
+If the modified program normally reads commands interactively
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+@end enumerate
+
+These requirements apply to the modified work as a whole.  If
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+distribute the same sections as part of a whole which is a work based
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+
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+a storage or distribution medium does not bring the other work under
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+
+@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
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+
+@item
+Accompany it with a written offer, valid for at least three
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+
+@item
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+
+@item
+You may not copy, modify, sublicense, or distribute the Program
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+
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+You are not required to accept this License, since you have not
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+
+@item
+Each time you redistribute the Program (or any work based on the
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+
+@item
+If, as a consequence of a court judgment or allegation of patent
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+This section is intended to make thoroughly clear what is believed to
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+
+@item
+If the distribution and/or use of the Program is restricted in
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+
+@item
+The Free Software Foundation may publish revised and/or new versions
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+
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+
+@item
+If you wish to incorporate parts of the Program into other free
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+@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
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+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
@@ -36461,7 +36468,7 @@ in your Calc init file or @file{.emacs} file.
 
 @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