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Type::Integer -- a type and a property representing integers

Introduction

Type::Integer represents integers. This type can also be used as a property to mark identifiers as integers.

Call(s)

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

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 assume, is and testtype

Related Functions

assume, is, testtype, Type::Real, Type::Property

Details

Example 1

The following numbers are of type Type::Integer:

>> testtype(0, Type::Integer), testtype(55, Type::Integer),
   testtype(-111, Type::Integer)
                             TRUE, TRUE, TRUE

Example 2

We use this type as a property:

>> assume(x, Type::Integer):

The following calls to is derive the properties of a composite expression from the properties of its indeterminates:

>> is(3*x, Type::Real), is(2*x, Type::Even), is(x/2, Type::Integer)
                            TRUE, TRUE, UNKNOWN
>> assume(y, Type::Integer): is(x + y^2, Type::Integer)
                                   TRUE
>> unassume(x), unassume(y):

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