diff options
Diffstat (limited to 'doc/misc/calc.texi')
-rw-r--r-- | doc/misc/calc.texi | 24 |
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} |