convert ComplexRanges into RealRanges - Maple Help

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convert/RealRange - convert ComplexRanges into RealRanges

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::ComplexRange1I,1+I

(1)

convert,RealRange

ℜz::RealRange1,1,ℑz::RealRange1,1

(2)

z∈ComplexRange∞I,I

z∈ComplexRange∞I,I

(3)

convert,RealRange

ℜz∈0,ℑz∈RealRange∞,1

(4)

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

=convert,relation

ℜz∈0,ℑz∈RealRange∞,1=ℜz=0,And∞ℑz,ℑz1

(5)

FunctionAdvisorbranch_cuts,arccot

arccotz,z∈ComplexRange∞I,I,z∈ComplexRangeI,∞I

(6)

convert,relation

arccotz,Andℜz=0,∞ℑz,ℑz1,Andℜz=0,1ℑz,ℑz∞

(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;z1&comma;1z

(8)

See Also

assume[parametric], ComplexRange, convert, FunctionAdvisor, RealRange, relation


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