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Type::NegRat -- a type and a property representing negative rational numbers

Introduction

Type::NegRat represents negative rational numbers. Type::NegRat is a property, too, which can be used in an assume call.

Call(s)

testtype(obj, Type::NegRat)
assume(x, Type::NegRat)
is(ex, Type::NegRat)

Parameters

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

Returns

see testtype, assume and is

Related Functions

testtype, is, assume, Type::Property

Details

Example 1

The following numbers are of type Type::NegRat:

>> testtype(-2, Type::NegRat),
   testtype(-3/4, Type::NegRat),
   testtype(-55/111, Type::NegRat),
   testtype(-1, Type::NegRat),
   testtype(-111/111111, Type::NegRat)
                       TRUE, TRUE, TRUE, TRUE, TRUE

Example 2

Assume an identifier is negative rational:

>> assume(x, Type::NegRat):
   is(x, Type::NegRat)
                                   TRUE

Also negative rational numbers are rational:

>> assume(x, Type::NegRat):
   is(x, Type::Rational)
                                   TRUE

However, rational numbers can be negative rational or not:

>> assume(x, Type::Rational):
   is(x, Type::NegRat)
                                  UNKNOWN
>> delete x:

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