
, _negate
Negative of an expression
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 x
_negate(x
)
 x
computes the negative of x
.
x
is equivalent to the function call _negate(x)
.
Both calls represent the inverse of the element x
of
an additive group.
The negative of a number of type Type::Numeric
is also
a number.
If x
is an element of a domain that does
not have the _negate
method
(slot), MuPAD^{®} internally represents x
as x*(1)
= _mult(x, 1)
.
If x
is an element of a domain that has the _negate
method (slot), MuPAD uses this method to compute x
.
The difference x  y
is equivalent to x
+ (y) = _plus (x, _negate(y))
.
The negative of a polynomial of type DOM_POLY
produces a polynomial.
The coefficients of the resulting polynomial are the negatives of
the original coefficients.
For finite sets, X
is the set .
Compute the negatives of the following expressions. The negative
of an expression is the inverse with respect to +
(_plus
):
x  x = x + _negate(x)
1 + x  2*x + 23
Internally, MuPAD represents x
as _mult(x,
1)
:
type(x), op(x, 0), op(x, 1), op(x, 2)
Compute the negative of a polynomial. The result is a polynomial with the coefficients that are the negatives of the coefficients of the original polynomial:
poly(x^2 + x  1, [x])
poly(x, [x], Dom::Integer)
Compute the negative of a finite set. For finite sets, X
is
the set :
{a, b, c}
Various library domains such as matrix domains
or residue class domains overload _negate
:
x := Dom::Matrix(Dom::IntegerMod(7))([2, 10]): x, x, x + (x)
delete x:

An arithmetical
expression, a polynomial of
type 
Arithmetical expression, a polynomial, or a set.
x