From: Christian Bauer
Date: Fri, 23 Jul 2004 18:29:57 +0000 (+0000)
Subject: fixed typos
X-Git-Tag: release_1-3-0~48
X-Git-Url: https://www.ginac.de/ginac.git//ginac.git?p=ginac.git;a=commitdiff_plain;h=bc6dacb50cc13691efc466d2cc1900048158ec8d;hp=2c22412269ccfb551a27fd8081712b46c243cbac
fixed typos
---
diff --git a/doc/tutorial/ginac.texi b/doc/tutorial/ginac.texi
index 380395fb..71912097 100644
--- a/doc/tutorial/ginac.texi
+++ b/doc/tutorial/ginac.texi
@@ -2811,7 +2811,7 @@ operator (often denoted @samp{&*}) for representing inert products of
arbitrary objects. Rather, non-commutativity in GiNaC is a property of the
classes of objects involved, and non-commutative products are formed with
the usual @samp{*} operator, as are ordinary products. GiNaC is capable of
-figuring out by itself which objects commute and will group the factors
+figuring out by itself which objects commutate and will group the factors
by their class. Consider this example:
@example
@@ -2827,7 +2827,7 @@ by their class. Consider this example:
As can be seen, GiNaC pulls out the overall commutative factor @samp{-16} and
groups the non-commutative factors (the gammas and the su(3) generators)
together while preserving the order of factors within each class (because
-Clifford objects commute with color objects). The resulting expression is a
+Clifford objects commutate with color objects). The resulting expression is a
@emph{commutative} product with two factors that are themselves non-commutative
products (@samp{gamma~mu*gamma~nu} and @samp{T.a*T.b}). For clarification,
parentheses are placed around the non-commutative products in the output.
@@ -2845,7 +2845,7 @@ than in other computer algebra systems; they can, for example, automatically
canonicalize themselves according to rules specified in the implementation
of the non-commutative classes. The drawback is that to work with other than
the built-in algebras you have to implement new classes yourself. Symbols
-always commute and it's not possible to construct non-commutative products
+always commutate and it's not possible to construct non-commutative products
using symbols to represent the algebra elements or generators. User-defined
functions can, however, be specified as being non-commutative.
@@ -2864,16 +2864,16 @@ the header file @file{flags.h}), corresponding to three categories of
expressions in GiNaC:
@itemize
-@item @code{return_types::commutative}: Commutes with everything. Most GiNaC
+@item @code{return_types::commutative}: Commutates with everything. Most GiNaC
classes are of this kind.
@item @code{return_types::noncommutative}: Non-commutative, belonging to a
certain class of non-commutative objects which can be determined with the
- @code{return_type_tinfo()} method. Expressions of this category commute
+ @code{return_type_tinfo()} method. Expressions of this category commutate
with everything except @code{noncommutative} expressions of the same
class.
@item @code{return_types::noncommutative_composite}: Non-commutative, composed
of non-commutative objects of different classes. Expressions of this
- category don't commute with any other @code{noncommutative} or
+ category don't commutate with any other @code{noncommutative} or
@code{noncommutative_composite} expressions.
@end itemize
@@ -2924,7 +2924,7 @@ ex dirac_gamma(const ex & mu, unsigned char rl = 0);
which takes two arguments: the index and a @dfn{representation label} in the
range 0 to 255 which is used to distinguish elements of different Clifford
algebras (this is also called a @dfn{spin line index}). Gammas with different
-labels commute with each other. The dimension of the index can be 4 or (in
+labels commutate with each other. The dimension of the index can be 4 or (in
the framework of dimensional regularization) any symbolic value. Spinor
indices on Dirac gammas are not supported in GiNaC.
@@ -2942,7 +2942,7 @@ write @code{dirac_gamma(mu)*(dirac_slash(q,4)+m*dirac_ONE())}. Otherwise,
GiNaC will complain and/or produce incorrect results.
@cindex @code{dirac_gamma5()}
-There is a special element @samp{gamma5} that commutes with all other
+There is a special element @samp{gamma5} that commutates with all other
gammas, has a unit square, and in 4 dimensions equals
@samp{gamma~0 gamma~1 gamma~2 gamma~3}, provided by
@@ -3098,7 +3098,7 @@ ex color_T(const ex & a, unsigned char rl = 0);
which takes two arguments: the index and a @dfn{representation label} in the
range 0 to 255 which is used to distinguish elements of different color
-algebras. Objects with different labels commute with each other. The
+algebras. Objects with different labels commutate with each other. The
dimension of the index must be exactly 8 and it should be of class @code{idx},
not @code{varidx}.
@@ -3430,7 +3430,7 @@ table:
@end cartouche
To determine whether an expression is commutative or non-commutative and if
-so, with which other expressions it would commute, you use the methods
+so, with which other expressions it would commutate, you use the methods
@code{return_type()} and @code{return_type_tinfo()}. @xref{Non-commutative objects},
for an explanation of these.
diff --git a/ginac/clifford.h b/ginac/clifford.h
index f6a9820b..667d7bef 100644
--- a/ginac/clifford.h
+++ b/ginac/clifford.h
@@ -35,7 +35,7 @@ namespace GiNaC {
* algebra (the Dirac gamma matrices). These objects only carry Lorentz
* indices. Spinor indices are hidden. A representation label (an unsigned
* 8-bit integer) is used to distinguish elements from different Clifford
- * algebras (objects with different labels commute). */
+ * algebras (objects with different labels commutate). */
class clifford : public indexed
{
GINAC_DECLARE_REGISTERED_CLASS(clifford, indexed)
@@ -124,7 +124,7 @@ protected:
};
-/** This class represents the Dirac gamma5 object which anticommutes with
+/** This class represents the Dirac gamma5 object which anticommutates with
* all other gammas. */
class diracgamma5 : public tensor
{
diff --git a/ginac/color.h b/ginac/color.h
index 6e73ad21..2086909e 100644
--- a/ginac/color.h
+++ b/ginac/color.h
@@ -33,7 +33,7 @@ namespace GiNaC {
* of SU(3), as used for calculations in quantum chromodynamics. A
* representation label (an unsigned 8-bit integer) is used to distinguish
* elements from different Lie algebras (objects with different labels
- * commute). These objects implement an abstract representation of the
+ * commutate). These objects implement an abstract representation of the
* group, not a specific matrix representation. The indices used for color
* objects should not have a variance. */
class color : public indexed