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convert/RealRange

convert ComplexRanges into RealRanges

 

Calling Sequence

Parameters

Description

Examples

Calling Sequence

convert( expr, RealRange )

Parameters

expr

-

expression

Description

• 

The convert(expr, RealRange) function converts Complex ranges (see assume[parametric]) in expr into Real ranges.

  

Note: in Maple, by convention, when you say, for instance, z1, it is implicitly assumed that z = 0.

Examples

z::ComplexRange1I,1+I

z::ComplexRange−1I,1+I

(1)

convert,RealRange

z::−1,1,z::−1,1

(2)

z∈ComplexRange∞I,I

zComplexRangeI,I

(3)

convert,RealRange

z0,z,1

(4)

In turn, RealRanges as well as ComplexRanges can be converted into relations.

=convert,relation

z0,z,1=z=0,zz1

(5)

FunctionAdvisorbranch_cuts,arccot

arccotz,zComplexRangeI,−IzComplexRangeI,I

(6)

convert,relation

arccotz,z=0zz−1z=01zz

(7)

Note that when constructions such as z<a or za are used, it is understood that z is real

FunctionAdvisorbranch_cuts&comma;arcsin

arcsinz&comma;z−11z

(8)

See Also

assume[parametric]

ComplexRange

convert

FunctionAdvisor

RealRange

relation