Properties (130)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
Number
|
| gptkbp:are |
gptkb:Constructible_Numbers
Closed under addition Closed under multiplication Countable Infinite Sets Used in Cryptography Used in Number Theory Closed under taking roots Transcendental Numbers Used in Coding Theory Used in Galois Theory Finite_Degree_Extensions Used_in_Algebraic_Geometry |
| gptkbp:can_be |
Complex Numbers
Real Numbers Used in Control Theory Used in Education Used in Data Science Used in Machine Learning Used in Image Processing Expressed in terms of radicals Represented in various bases Used in Actuarial Science Used in Adult Education Used in Anthropology Used in Artificial Intelligence Used in Assessment and Evaluation Used in Blended Learning Used in Combinatorics Used in Computational Mathematics Used in Cryptanalysis Used in Curriculum Development Used in Distance Education Used in E-Learning Used in Economics Used in Educational Policy Used in Educational Research Used in Educational Technology Used in Environmental Science Used in Epidemiology Used in Financial Mathematics Used in Functional Analysis Used in Game Theory Used in Geography Used in Graph Theory Used in History Used in Lifelong Learning Used in Linguistics Used in Mathematical Biology Used in Mathematical Logic Used in Network Theory Used in Numerical Analysis Used in Operations Research Used in Optimization Problems Used in Pedagogy Used in Philosophy Used in Political Science Used in Probability Theory Used in Professional Development Used in Psychology Used in Representation Theory Used in Signal Processing Used in Sociology Used in Statistics Used in Symbolic Computation Used in Teacher Training Used in Theoretical Computer Science Used_in_Algebraic_Topology Used_in_Computer_Algebra_Systems Used_in_Mathematical_Physics Used_in_Quantum_Computing Used_in_Social_Sciences |
| gptkbp:canBe |
Polynomial Equations
|
| gptkbp:defines |
Numbers that are roots of non-zero polynomial equations with rational coefficients.
|
| gptkbp:hasSpecialty |
Closure under addition
Closure under multiplication Closure under taking roots |
| https://www.w3.org/2000/01/rdf-schema#label |
Algebraic Numbers
|
| gptkbp:includes |
Integers
Irrational Numbers Rational Numbers Roots of unity |
| gptkbp:isCharacterizedBy |
Minimal Polynomial
Degree of the polynomial Algebraic_Degree |
| gptkbp:isCounteredBy |
Category Theory
Commutative Algebra Representation Theory Algebraic Functions Homological Algebra Rational Functions Elliptic Curves Power Series Algebraic Number Theory Modular Forms Noncommutative Algebra Algebraic Number Theory over Finite Fields Algebraic_Geometry Algebraic_Topology Algebraic_Statistics Algebraic_Combinatorics Algebraic_Geometry_over_Finite_Fields Algebraic_Logic Algebraic_Number_Field Diophantine_Equations Formal_Power_Series |
| gptkbp:isDividedInto |
Algebraic Integers
|
| gptkbp:isFoundIn |
Algebra
Number Theory Abstract Algebra |
| gptkbp:isRelatedTo |
Transcendental Numbers
|
| gptkbp:isRepresentedIn |
Algebraic_Expressions
|
| gptkbp:isStudiedIn |
Cryptography
Mathematics Numerical Analysis Computer_Algebra_Systems |
| gptkbp:isUsedBy |
Algebraic Structures
Field Extensions Algebraic Closure Roots of Unity |
| gptkbp:isUsedFor |
Complex Numbers with algebraic properties
Imaginary Numbers that are roots of polynomials Real Numbers that are roots of polynomials a/b where a and b are integers and b ≠ 0 Finite_Degree_Extensions Infinite_Degree_Extensions |
| gptkbp:isUsedIn |
Field Theory
Galois Theory |
| gptkbp:subclass |
Complex Numbers
|