convert/relation - Maple Programming Help

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convert/relation

convert Complex and Real ranges into relations expressed using =, <=, <, >=, and >

 

Calling Sequence

Parameters

Description

Examples

Calling Sequence

convert( expr, relation )

Parameters

expr

-

expression

Description

• 

The convert(expr, relation) function converts Real ranges and Complex ranges found in expr into relations using =,<=,<,>=,>.

  

Note: in Maple, by convention, when you say, for instance, z <= 1, it is implicitly assumed that (z) = 0.

Examples

z::ComplexRange1I&comma;1&plus;I

z::ComplexRange1I&comma;1&plus;I

(1)

convert&comma;relation

And1&real;z&comma;&real;z1&comma;1&Im;z&comma;&Im;z1

(2)

z&in;ComplexRange&infin;I&comma;I

z&in;ComplexRange&infin;I&comma;I

(3)

convert&comma;RealRange

&real;z&in;0&comma;&Im;z&in;RealRange&infin;&comma;1

(4)

convert&comma;relation

&real;z&equals;0&comma;And&infin;&Im;z&comma;&Im;z1

(5)

When constructions like z < a or z <= a are around, it is understood that z is real

FunctionAdvisorbranch_cuts&comma;arcsin

arcsinz&comma;z1&comma;1z

(6)

FunctionAdvisorbranch_cuts&comma;arccot

arccotz&comma;z&in;ComplexRange&infin;I&comma;I&comma;z&in;ComplexRangeI&comma;&infin;I

(7)

convert&comma;relation

arccotz&comma;And&real;z&equals;0&comma;&infin;&Im;z&comma;&Im;z1&comma;And&real;z&equals;0&comma;1&Im;z&comma;&Im;z&infin;

(8)

See Also

assume[parametric]

ComplexRange

convert

FunctionAdvisor

RealRange

relation

 


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