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[Maxima-commits] Maxima, A Computer Algebra System branch, master, updated. e2f3b6e1c16bcbfce844c04374e40ea98428f4ea
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From: Dieter K. <cra...@us...> - 2011-06-06 22:25:59
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- Log -----------------------------------------------------------------
commit e2f3b6e1c16bcbfce844c04374e40ea98428f4ea
Author: crategus <cra...@us...>
Date: Tue Jun 7 00:22:36 2011 +0200
Some formating to get a nice pdf file
Changed files:
linearalgebra.texi
lsquares.texi
diff --git a/doc/info/linearalgebra.texi b/doc/info/linearalgebra.texi
index 312b69b..2e6c391 100644
--- a/doc/info/linearalgebra.texi
+++ b/doc/info/linearalgebra.texi
@@ -3,8 +3,10 @@
* Functions and Variables for linearalgebra::
@end menu
+@c -----------------------------------------------------------------------------
@node Introduction to linearalgebra, Functions and Variables for linearalgebra, linearalgebra, linearalgebra
@section Introduction to linearalgebra
+@c -----------------------------------------------------------------------------
@code{linearalgebra} is a collection of functions for linear algebra.
@@ -121,9 +123,11 @@ Example:
@category{Linear algebra} @category{Share packages} @category{Package linearalgebra}
@closecatbox
-
+@c -----------------------------------------------------------------------------
+@need 800
@node Functions and Variables for linearalgebra, , Introduction to linearalgebra, linearalgebra
@section Functions and Variables for linearalgebra
+@c -----------------------------------------------------------------------------
@deffn {Function} addmatrices (@var{f}, @var{M_1}, ..., @var{M_n})
@@ -836,9 +840,11 @@ Example:
(%o2) [ ]
[ 9 10 ]
(%i3) matrix ([A, B]);
+@group
[ [ 1 2 ] [ 7 8 ] ]
(%o3) [ [ ] [ ] ]
[ [ 3 4 ] [ 9 10 ] ]
+@end group
(%i4) mat_unblocker (%);
[ 1 2 7 8 ]
(%o4) [ ]
@@ -899,10 +905,9 @@ value for @var{exponp}, you must supply @var{coeffp} with a value even if you wa
to use the default for @var{coeffp}.
@c WORK THE FOLLOWING INTO THE PRECEDING
-@code{polynomialp (@var{p}, @var{L}, @var{coeffp})} is equivalent to
-@code{polynomialp (@var{p}, @var{L}, @var{coeffp}, 'nonnegintegerp)}.
-
-@code{polynomialp (@var{p}, @var{L})} is equivalent to
+The command @code{polynomialp (@var{p}, @var{L}, @var{coeffp})} is equivalent to
+@code{polynomialp (@var{p}, @var{L}, @var{coeffp}, 'nonnegintegerp)} and the
+command @code{polynomialp (@var{p}, @var{L})} is equivalent to
@code{polynomialp (@var{p}, L@var{,} 'constantp, 'nonnegintegerp)}.
The polynomial needn't be expanded:
@@ -1045,12 +1050,13 @@ default for @var{row} is complex conjugate of @var{col}. Example:
@c ==end===
@example
(%i1) toeplitz([1,2,3],[x,y,z]);
-
+@group
[ 1 y z ]
[ ]
(%o1) [ 2 1 y ]
[ ]
[ 3 2 1 ]
+@end group
(%i2) toeplitz([1,1+%i]);
[ 1 1 - %I ]
@@ -1107,3 +1113,4 @@ is true for each element @var{e} of the matrix @var{M}. If @var{M} is a block m
@closecatbox
@end deffn
+
diff --git a/doc/info/lsquares.texi b/doc/info/lsquares.texi
index 87de8af..8d4d54a 100644
--- a/doc/info/lsquares.texi
+++ b/doc/info/lsquares.texi
@@ -3,8 +3,10 @@
* Functions and Variables for lsquares::
@end menu
+@c -----------------------------------------------------------------------------
@node Introduction to lsquares, Functions and Variables for lsquares, lsquares, lsquares
@section Introduction to lsquares
+@c -----------------------------------------------------------------------------
@code{lsquares} is a collection of functions to implement the method of least squares
to estimate parameters for a model from numerical data.
@@ -13,9 +15,10 @@ to estimate parameters for a model from numerical data.
@category{Statistical estimation} @category{Share packages} @category{Package lsquares}
@closecatbox
-
+@c -----------------------------------------------------------------------------
@node Functions and Variables for lsquares, , Introduction to lsquares, lsquares
@section Functions and Variables for lsquares
+@c -----------------------------------------------------------------------------
@deffn {Function} lsquares_estimates (@var{D}, @var{x}, @var{e}, @var{a})
@deffnx {Function} lsquares_estimates (@var{D}, @var{x}, @var{e}, @var{a}, initial = @var{L}, tol = @var{t})
@@ -57,7 +60,7 @@ so all other kinds of numbers are converted to ordinary floats for calculations.
See also
@code{lsquares_estimates_exact},
-@code{lsquares_estimates_approximate},
+@code{lsquares_estimates_approximate},@*
@code{lsquares_mse},
@code{lsquares_residuals},
and @code{lsquares_residual_mse}.
@@ -77,6 +80,7 @@ A problem for which an exact solution is found.
(%i1) load (lsquares)$
(%i2) M : matrix (
[1,1,1], [3/2,1,2], [9/4,2,1], [3,2,2], [2,2,1]);
+@group
[ 1 1 1 ]
[ ]
[ 3 ]
@@ -90,6 +94,7 @@ A problem for which an exact solution is found.
[ 3 2 2 ]
[ ]
[ 2 2 1 ]
+@end group
(%i3) lsquares_estimates (
M, [z,x,y], (z+D)^2 = A*x+B*y+C, [A,B,C,D]);
59 27 10921 107
@@ -229,7 +234,7 @@ so all other kinds of numbers are converted to ordinary floats for calculations.
See also
@code{lsquares_estimates},
@code{lsquares_estimates_exact},
-@code{lsquares_mse},
+@code{lsquares_mse},@*
@code{lsquares_residuals},
and @code{lsquares_residual_mse}.
@@ -336,6 +341,8 @@ Example:
[ 3 2 2 ]
[ ]
[ 2 2 1 ]
+@end example
+@example
(%i3) mse : lsquares_mse (M, [z, x, y], (z + D)^2 = A*x + B*y + C);
5
====
@@ -346,6 +353,8 @@ Example:
i = 1
(%o3) ---------------------------------------------
5
+@end example
+@example
(%i4) diff (mse, D);
5
====
@@ -356,7 +365,10 @@ Example:
i = 1
(%o4) ----------------------------------------------------------
5
+@end example
+@example
(%i5) ''mse, nouns;
+@group
2 2 9 2 2
(%o5) (((D + 3) - C - 2 B - 2 A) + ((D + -) - C - B - 2 A)
4
@@ -365,6 +377,7 @@ Example:
2
2 2
+ ((D + 1) - C - B - A) )/5
+@end group
@end example
@opencatbox
@@ -571,10 +584,12 @@ How many ways do we have to put two queens without they are threatened into a n
(%i6) plsquares(matrix([0,0],[1,0],[2,0],[3,8],[4,44]),
[n,positions],[positions],4);
Determination Coefficient for [positions] = [1.0]
+@group
4 3 2
3 n - 10 n + 9 n - 2 n
(%o6) [positions = -------------------------]
6
+@end group
(%i7) ev(%[1], n=8); /* Testing for a (8 x 8) chessboard */
(%o7) positions = 1288
@end example
-----------------------------------------------------------------------
Summary of changes:
doc/info/linearalgebra.texi | 19 +++++++++++++------
doc/info/lsquares.texi | 21 ++++++++++++++++++---
2 files changed, 31 insertions(+), 9 deletions(-)
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Maxima, A Computer Algebra System
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