Real number

GPTKB entity

Statements (53)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:can_be_negative True
gptkbp:can_be_positive True
gptkbp:can_be_represented_on Number line
gptkbp:can_be_zero True
gptkbp:compatibleWith Imaginary number
Complex number (with nonzero imaginary part)
Transcendental number (if not irrational)
gptkbp:defines gptkb:Dedekind_cut
Cauchy sequence
gptkbp:hasProperty Completeness
https://www.w3.org/2000/01/rdf-schema#label Real number
gptkbp:includes gptkb:Integer
gptkb:Irrational_number
gptkb:Natural_number
gptkb:Rational_number
Whole number
gptkbp:is_a_continuum True
gptkbp:is_a_field True
gptkbp:is_an_ordered_field True
gptkbp:is_closed_under Addition
Multiplication
Subtraction
Division (except by zero)
gptkbp:is_denoted_by R
gptkbp:is_uncountable True
gptkbp:is_used_to_define gptkb:Probability_theory
gptkb:Banach_spaces
gptkb:Hilbert_spaces
gptkb:Differential_equations
Derivatives
Series
Functions
Sequences
Integrals
Intervals
Limits
Measure theory
Metric spaces
Normed spaces
Topology of the real line
Vector spaces over R
gptkbp:represents Decimal expansion
Infinite series
gptkbp:subclassOf Complex number
gptkbp:used_in gptkb:Physics
gptkb:Calculus
Engineering
Analysis
Real analysis
gptkbp:bfsParent gptkb:Numbers
gptkb:Real
gptkbp:bfsLayer 5