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-rw-r--r--doc/misc/calc.texi24
1 files changed, 12 insertions, 12 deletions
diff --git a/doc/misc/calc.texi b/doc/misc/calc.texi
index 32311ff5c3e..535efd86270 100644
--- a/doc/misc/calc.texi
+++ b/doc/misc/calc.texi
@@ -12878,7 +12878,7 @@ To declare specifically that @code{x} is real and non-zero,
use @samp{[[-inf .. 0), (0 .. inf]]}. (There is no way in the
current notation to say that @code{x} is nonzero but not necessarily
real.) The @kbd{a e} command does ``unsafe'' simplifications,
-including cancelling @samp{x} from the equation when @samp{x} is
+including canceling @samp{x} from the equation when @samp{x} is
not known to be nonzero.
Another set of type symbols distinguish between scalars and vectors.
@@ -21903,7 +21903,7 @@ of our sample formula by selecting it and pressing @kbd{n}
@end smallexample
Unselecting the sub-formula reveals that the minus sign, which would
-normally have cancelled out with the subtraction automatically, has
+normally have canceled out with the subtraction automatically, has
not been able to do so because the subtraction was not part of the
selected portion. Pressing @kbd{=} (@code{calc-evaluate}) or doing
any other mathematical operation on the whole formula will cause it
@@ -22590,7 +22590,7 @@ described for multiplication.
Quotients of products cancel only in the leading terms of the
numerator and denominator. In other words, @expr{a x b / a y b}
-is cancelled to @expr{x b / y b} but not to @expr{x / y}. Once
+is canceled to @expr{x b / y b} but not to @expr{x / y}. Once
again this is because full cancellation can be slow; use @kbd{a s}
to cancel all terms of the quotient.
@@ -22810,7 +22810,7 @@ the distributive law. For example, @expr{a x^2 b / c x^3 d} will
cancel @expr{x^2} from the top and bottom to get @expr{a b / c x d}.
(The terms in the denominator will then be rearranged to @expr{c d x}
as described above.) If there is any common integer or fractional
-factor in the numerator and denominator, it is cancelled out;
+factor in the numerator and denominator, it is canceled out;
for example, @expr{(4 x + 6) / 8 x} simplifies to @expr{(2 x + 3) / 4 x}.
Non-constant common factors are not found even by @kbd{a s}. To
@@ -22858,7 +22858,7 @@ example, @samp{(x - 23) % 10} is simplified to @samp{(x + 7) % 10}.
If the argument is multiplied by a constant, and this constant
has a common integer divisor with the modulus, then this factor is
-cancelled out. For example, @samp{12 x % 15} is changed to
+canceled out. For example, @samp{12 x % 15} is changed to
@samp{3 (4 x % 5)} by factoring out 3. Also, @samp{(12 x + 1) % 15}
is changed to @samp{3 ((4 x + 1:3) % 5)}. While these forms may
not seem ``simpler,'' they allow Calc to discover useful information
@@ -22938,13 +22938,13 @@ function.
\bigskip
@end tex
-Equations and inequalities are simplified by cancelling factors
+Equations and inequalities are simplified by canceling factors
of products, quotients, or sums on both sides. Inequalities
-change sign if a negative multiplicative factor is cancelled.
+change sign if a negative multiplicative factor is canceled.
Non-constant multiplicative factors as in @expr{a b = a c} are
-cancelled from equations only if they are provably nonzero (generally
+canceled from equations only if they are provably nonzero (generally
because they were declared so; @pxref{Declarations}). Factors
-are cancelled from inequalities only if they are nonzero and their
+are canceled from inequalities only if they are nonzero and their
sign is known.
Simplification also replaces an equation or inequality with
@@ -23035,9 +23035,9 @@ The simplifications of @expr{@tfn{ln}(@tfn{exp}(x))},
unsafe because of problems with principal values (although these
simplifications are safe if @expr{x} is known to be real).
-Common factors are cancelled from products on both sides of an
+Common factors are canceled from products on both sides of an
equation, even if those factors may be zero: @expr{a x / b x}
-to @expr{a / b}. Such factors are never cancelled from
+to @expr{a / b}. Such factors are never canceled from
inequalities: Even @kbd{a e} is not bold enough to reduce
@expr{a x < b x} to @expr{a < b} (or @expr{a > b}, depending
on whether you believe @expr{x} is positive or negative).
@@ -23071,7 +23071,7 @@ If units auto-ranging mode is enabled, products or quotients in
which the first argument is a number which is out of range for the
leading unit are modified accordingly.
-When cancelling and combining units in products and quotients,
+When canceling and combining units in products and quotients,
Calc accounts for unit names that differ only in the prefix letter.
For example, @samp{2 km m} is simplified to @samp{2000 m^2}.
However, compatible but different units like @code{ft} and @code{in}