User:Ascii/Definitions (by Meaning 1-300)
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Metaconcepts
- Definition:Object
- Definition:Symbol
- Definition:Unique
- Definition:Distinct
- Definition:Distinct/Plural
Logic
- Definition:Statement
- Definition:Proposition
- Definition:True
- Definition:False
- Definition:Truth Value
- Definition:Main Connective/Propositional Logic
- Definition:Conditional
- Definition:Logical Equivalence
- Definition:Iff
- Definition:Propositional Function
- Definition:Boolean Interpretation
- Definition:Contradiction
- Definition:Language of Propositional Logic/Formal Grammar/WFF
- Definition:By Hypothesis
- Definition:Constant
Set Theory
- Definition:Set
- Definition:Element
- Definition:Subset
- Definition:Set Equality
- Definition:Singleton
- Definition:Empty Set
- Definition:Non-Empty Set
- Definition:Disjoint Sets
- Definition:Set of Sets
- Definition:Power Set
- Definition:Set Partition
- Definition:Finite
- Definition:Finite Set
- Definition:Countable Set
- Definition:Uncountable Set
- Definition:Infinite Set
- Definition:Set Equivalence
- Definition:Cardinality
- Definition:Set Union
- Definition:Set Intersection
- Definition:Set Difference
- Definition:Relative Complement
- Definition:Ordered Pair
- Definition:Cartesian Product
- Definition:Relation
- Definition:Endorelation
- Definition:Reflexive Relation
- Definition:Reflexivity
- Definition:Symmetric Relation
- Definition:Antisymmetric Relation
- Definition:Transitive Relation
- Definition:Equivalence Relation
- Definition:Equivalence Class
- Definition:Smallest Element
- Definition:Greatest Element
- Definition:Upper Bound of Set
- Definition:Lower Bound of Set
- Definition:Bounded Below Set
- Definition:Supremum of Set
- Definition:Infimum of Set
Mappings
- Definition:Mapping
- Definition:Function
- Definition:Domain (Relation Theory)/Mapping
- Definition:Codomain (Relation Theory)/Mapping
- Definition:Image (Relation Theory)/Mapping/Mapping
- Definition:Image (Relation Theory)/Mapping/Subset
- Definition:Image (Relation Theory)/Mapping/Element
- Definition:Preimage/Mapping/Subset
- Definition:Restriction/Mapping
- Definition:Inverse Mapping
- Definition:Finite Sequence
- Definition:Constant Mapping
- Definition:Identity Mapping
- Definition:Permutation
- Definition:Surjection
- Definition:Injection
- Definition:Bijection
- Definition:Composition of Mappings
Number Systems
- Definition:Number
- Definition:Natural Numbers
- Definition:Zero (Number)
- Definition:Decimal Notation
- Definition:Digit
- Definition:Integer
- Definition:Positive/Integer
- Definition:Strictly Positive/Integer
- Definition:Rational Number
- Definition:Fraction/Numerator
- Definition:Fraction/Denominator
- Definition:Ratio
- Definition:Real Number
- Definition:Positive/Real Number
- Definition:Strictly Positive/Real Number
- Definition:Real Number/Real Number Line
- Definition:Real Interval
- Definition:Real Interval/Open
- Definition:Real Interval/Closed
- Definition:Coordinate System/Origin
- Definition:Cartesian Plane
- Definition:Axis/X-Axis
- Definition:Complex Number
- Definition:Complex Number/Imaginary Unit
- Definition:Complex Plane
- Definition:Absolute Value
- Definition:Addition/Integers
- Definition:Multiplication/Integers
- Definition:Power (Algebra)/Integer
- Definition:Complex Modulus
Number Theory
- Definition:Square Number
- Definition:Square/Function
- Definition:Square Root
- Definition:Factorial
- Definition:Integer Sequence
- Definition:Divisor (Algebra)/Integer
- Definition:Greatest Common Divisor/Integers
- Definition:Congruence Modulo Integer
- Definition:Prime Number
- Definition:Composite Number
- Definition:Prime Decomposition
- Definition:Prime Decomposition/Multiplicity
- Definition:Prime Factor
- Definition:Coprime Integers
- Definition:Divisor Sum Function
- Definition:Divisor Count Function
- Definition:Euler Phi Function
- Definition:Binomial Coefficient
Abstract Algebra
- Definition:Operation/Binary Operation
- Definition:Closure (Abstract Algebra)/Algebraic Structure
- Definition:Commutative Operation
- Definition:Associative Operation
- Definition:Cancellable Element
- Definition:Identity (Abstract Algebra)/Two-Sided Identity
- Definition:Inverse (Abstract Algebra)/Inverse
- Definition:Algebraic Structure
- Definition:Order of Structure
- Definition:Isomorphism (Abstract Algebra)
- Definition:Semigroup
- Definition:Monoid
- Definition:Group
- Axiom:Group Axioms
- Definition:Finite Group
- Definition:Order of Group Element
- Definition:Abelian Group
- Definition:Subgroup
- Definition:Normal Subgroup
- Definition:Cyclic Group
- Definition:Group Homomorphism
- Definition:Isomorphism (Abstract Algebra)/Group Isomorphism
- Definition:Coset/Left Coset
- Definition:Quotient Group
- Definition:Distributive Operation
- Definition:Ring (Abstract Algebra)
- Definition:Ring (Abstract Algebra)/Product
- Definition:Subring
- Definition:Ring Zero
- Definition:Commutative Ring
- Definition:Unity (Abstract Algebra)/Ring
- Definition:Ring with Unity
- Definition:Commutative and Unitary Ring
- Definition:Unit of Ring
- Definition:Ideal of Ring
- Definition:Division Ring
- Definition:Norm/Division Ring
- Definition:Normed Division Ring
- Definition:Ring Homomorphism
- Definition:Module
- Definition:Vector Space
- Definition:Dimension of Vector Space
- Definition:Degree of Polynomial
- Definition:Root of Polynomial
- Definition:Group Action
- Definition:Matrix
- Definition:Matrix/Square Matrix
- Definition:Matrix/Square Matrix/Order
- Definition:Determinant/Matrix
Topology
- Definition:Topology
- Definition:Topological Space
- Definition:Open Set/Topology
- Definition:Closed Set/Topology
- Definition:Discrete Topology
- Definition:Topological Subspace
- Definition:Neighborhood (Topology)/Point
- Definition:Limit Point/Topology/Set
- Definition:Interior (Topology)
- Definition:Continuous Mapping (Topology)
- Definition:Open Cover
- Definition:Compact Topological Space
- Definition:Closure (Topology)
- Definition:Connected Set (Topology)
- Definition:Continuous Mapping (Topology)/Everywhere
- Definition:Everywhere Dense
- Definition:Metric Space
- Definition:Metric Space/Distance Function
- Definition:Open Set/Metric Space
- Definition:Open Ball
Analysis
- Definition:Derivative
- Definition:Primitive (Calculus)
- Definition:Primitive (Calculus)/Constant of Integration
- Definition:Differential Equation/Solution
- Definition:Solution Set of Differential Equation
- Definition:First Order Ordinary Differential Equation
- Definition:Second Order Ordinary Differential Equation
- Definition:Laplace Transform
Geometry
- Definition:Point
- Definition:Line/Straight Line
- Definition:Line/Segment
- Definition:Line/Curve
- Definition:Rational Line Segment
- Definition:Bisection
- Definition:Intersection (Geometry)
- Definition:Linear Measure/Length
- Definition:Commensurable in Length
- Definition:Angle
- Definition:Right Angle
- Definition:Perpendicular
- Definition:Parallel (Geometry)/Lines
- Definition:Polygon/Side
- Definition:Polygon/Vertex
- Definition:Triangle (Geometry)
- Definition:Quadrilateral/Square
- Definition:Quadrilateral/Rectangle
- Definition:Quadrilateral/Parallelogram
- Definition:Circle
- Definition:Circle/Center
- Definition:Circle/Radius
- Definition:Circle/Circumference
- Definition:Plane Surface
- Definition:Area
Graph Theory
- Definition:Graph (Graph Theory)
- Definition:Graph (Graph Theory)/Vertex
- Definition:Graph (Graph Theory)/Edge
Category Theory
Probability
- Definition:Sigma-Algebra
- Definition:Measure Space
- Definition:Probability Space
- Definition:Random Variable/Discrete
- Definition:Expectation
- Definition:Game
- Definition:Game/Player