Type::Rational
-- a type and a
property representing rational numbersType::Rational
represents rational numbers.
Type::Rational
is a property, too, which can be used in an
assume
call.
testtype(obj,
Type::Rational)
assume(x,
Type::Rational)
is(ex,
Type::Rational)
obj |
- | any MuPAD object |
x |
- | an identifier or one of the expressions Re(u) or Im(u) with an identifier
u |
ex |
- | an arithmetical expression |
testtype
, is
, assume
, Type::Property
testtype(obj,
Type::Rational)
checks, whether obj
is a rational number and returns
TRUE
, if it holds,
otherwise FALSE
.testtype
only
performs a syntactical test identifying MuPAD objects of type
DOM_INT
and DOM_RAT
.assume(x,
Type::Rational) marks the identifier x
as a rational
number.
The call is(ex,
Type::Rational) derives, whether the expression ex
is a
rational number (or this property can be derived).
assume
and is
.The following numbers are of type
Type::Rational
:
>> testtype(2, Type::Rational), testtype(3/4, Type::Rational), testtype(-1/2, Type::Rational), testtype(-1, Type::Rational), testtype(1024/11111, Type::Rational)
TRUE, TRUE, TRUE, TRUE, TRUE
Integers are rational:
>> assume(x, Type::Integer): is(x, Type::Rational)
TRUE
However, rational numbers can be integer or not:
>> assume(x, Type::Rational): is(x, Type::Integer)
UNKNOWN
>> delete x: