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InexactField -- the class of inexact fields

Description

An inexact field is one whose elements are real or complex numbers, represented floating point approximations of varying accuracy or precision.

i1 : numeric_100 pi

o1 = 3.14159265358979323846264338328

o1 : RR (of precision 100)

i2 : ring oo

o2 = RR
       100

o2 : RealField

i3 : class oo

o3 = RealField

o3 : Type

i4 : parent oo

o4 = InexactField

o4 : Type

Types of inexact field :

ComplexField -- the class of all complex fields
RealField -- the class of all real fields

Methods that use an inexact field :

dim(InexactField) -- see dim(Ring) -- compute the Krull dimension
norm(InexactField,MutableMatrix) -- see norm
precision(InexactField) -- see precision

For the programmer

The object InexactField is a type, with ancestor classes EngineRing < Ring < Type < MutableHashTable < HashTable < Thing.