User:Ascii/Definitions (by Meaning 1-300)

Metaconcepts

 * Definition:Mathematics
 * Definition:Pythagoreans


 * Definition:Natural Language
 * Definition:Object
 * Definition:Distinct/Singular
 * Definition:Distinct/Plural
 * Definition:Symbol
 * Definition:Property
 * Definition:Unique
 * Definition:Constant
 * Definition:Variable

Languages to Logic

 * Definition:Logic
 * Definition:Symbolic Logic
 * Definition:Propositional Logic
 * Definition:Statement
 * Definition:Formal Language
 * Definition:Formal Language/Alphabet
 * Definition:Well-Formed Formula
 * Definition:Definitional Abbreviation
 * Definition:Language of Propositional Logic
 * Definition:Language of Propositional Logic/Formal Grammar/WFF
 * Definition:Formal Semantics
 * Definition:Formal Semantics/Structure
 * Definition:Logical Language
 * Definition:Axiom
 * Definition:Logical Argument
 * Definition:Proof
 * Definition:Proof System
 * Definition:Premise
 * Definition:Truth Value
 * Definition:True
 * Definition:False
 * Definition:Conditional
 * Definition:Conjunction
 * Definition:Disjunction
 * Definition:Biconditional
 * Definition:Iff
 * Definition:Logical Equivalence
 * Definition:Expression


 * Definition:Predicate Logic
 * Definition:Categorical Statement
 * Definition:Categorical Syllogism
 * Definition:Language of Predicate Logic
 * Definition:Language of Predicate Logic/Formal Grammar
 * Definition:Structure for Predicate Logic


 * Definition:Propositional Function
 * Definition:Logical Formula

Set Theory

 * Definition:Set Theory
 * Definition:Set
 * Definition:Element
 * Definition:Singleton
 * Definition:Subset
 * Definition:Empty Set
 * Definition:Non-Empty Set
 * Definition:Set of Sets
 * Definition:Power Set
 * Definition:Cardinality
 * Definition:Finite
 * Definition:Finite Set
 * Definition:Infinite Set
 * Definition:Countable Set
 * Definition:Uncountable Set
 * Definition:Class (Class Theory)


 * Definition:Ordinal


 * Definition:Indexing Set
 * Definition:Indexing Set/Indexed Set
 * Definition:Indexing Set/Family


 * Definition:Set Intersection
 * Definition:Disjoint Sets
 * Definition:Set Union
 * Definition:Set Partition
 * Definition:Relative Complement
 * Definition:Ordered Pair
 * Definition:Cartesian Product
 * Definition:Ordered Tuple
 * Definition:Relation
 * Definition:Endorelation
 * Definition:Equivalence Relation
 * Definition:Equivalence Class
 * Definition:Left-Total Relation/Multifunction


 * Definition:Ordered Set
 * Definition:Ordering
 * Definition:Infimum of Set
 * Definition:Supremum of Set
 * Definition:Smallest/Ordered Set


 * Definition:Totally Ordered Set
 * Definition:Well-Ordered Set


 * Definition:Lattice

Mappings

 * Definition:Mapping
 * Definition:Domain (Set Theory)/Mapping
 * Definition:Codomain (Set Theory)/Mapping
 * Definition:Image (Set Theory)/Mapping/Mapping
 * Definition:Image (Set Theory)/Mapping/Element
 * Definition:Preimage/Mapping/Subset
 * Definition:Graph of Mapping
 * Definition:Restriction/Mapping
 * Definition:Function
 * Definition:Injection
 * Definition:Surjection
 * Definition:Bijection
 * Definition:Identity Mapping
 * Definition:Permutation
 * Definition:Composition of Mappings
 * Definition:Sequence
 * Definition:Term of Sequence
 * Definition:Finite Sequence

Algebraic Structures

 * Definition:Abstract Algebra
 * Definition:Operation
 * Definition:Operation/Binary Operation
 * Definition:Commutative Operation
 * Definition:Associative Operation
 * Definition:Identity (Abstract Algebra)/Two-Sided Identity
 * Definition:Inverse (Abstract Algebra)/Inverse
 * Definition:Algebraic Structure
 * Definition:Closure (Abstract Algebra)/Algebraic Structure
 * Definition:Magma
 * Definition:Semigroup
 * Definition:Monoid
 * Definition:Group
 * Definition:Finite Group
 * Definition:Abelian Group
 * Definition:Subgroup
 * Definition:Normal Subgroup
 * Definition:Group Homomorphism
 * Definition:Group Action


 * Definition:Ring
 * Definition:Subring
 * Definition:Commutative Ring
 * Definition:Ring Zero
 * Definition:Unit of Ring
 * Definition:Ring with Unity
 * Definition:Commutative and Unitary Ring
 * Definition:Division Ring
 * Definition:Polynomial Ring
 * Definition:Polynomial Ring/Indeterminate
 * Definition:Polynomial over Ring
 * Definition:Ring (Abstract Algebra)/Ring Product


 * Definition:Degree of Polynomial


 * Definition:Norm/Division Ring
 * Definition:Normed Division Ring
 * Definition:Ideal of Ring


 * Definition:Integral Domain
 * Definition:Field
 * Definition:Field Extension
 * Definition:Valued Field
 * Definition:Module
 * Definition:Unitary Module


 * Definition:Algebra over Ring
 * Definition:Vector Space
 * Definition:Vector (Linear Algebra)
 * Definition:Zero Vector
 * Definition:Real Vector Space
 * Definition:Linear Transformation
 * Definition:Dimension of Vector Space
 * Definition:Norm/Vector Space
 * Definition:Normed Vector Space
 * Definition:Ordinary Space


 * Definition:Matrix
 * Definition:Matrix/Row
 * Definition:Matrix/Column
 * Definition:Matrix/Square Matrix
 * Definition:Matrix/Square Matrix/Order
 * Definition:Determinant/Matrix


 * Definition:Product Notation (Algebra)/Infinite

Number Systems

 * Definition:Number
 * Definition:Natural Numbers
 * Definition:Number Base
 * Definition:Digit
 * Definition:Zero (Number)
 * Definition:Integer
 * Definition:Positive/Integer
 * Definition:Strictly Positive/Integer
 * Definition:Odd Integer
 * Definition:Even Integer
 * Definition:Square Number
 * Definition:Integer Sequence
 * Definition:Prime Number
 * Definition:Divisor (Algebra)/Integer
 * Definition:Rational Number
 * Definition:Irrational Number
 * Definition:Real Number
 * Definition:Positive/Real Number
 * Definition:Strictly Positive/Real Number
 * Definition:Absolute Value
 * Definition:Real Number/Real Number Line
 * Definition:Extended Real Number Line
 * Definition:Complex Number
 * Definition:Complex Modulus
 * Definition:Complex Plane


 * Definition:Cartesian Product/Cartesian Space/Real Cartesian Space


 * Definition:Addition
 * Definition:Addition/Integers
 * Definition:Multiplication
 * Definition:Ratio
 * Definition:Natural Logarithm/Complex
 * Definition:Usual Ordering
 * Definition:Power (Algebra)/Integer


 * Definition:Real Function
 * Definition:Continuous Real Function
 * Definition:Real-Valued Function
 * Definition:Functional
 * Definition:Real Sequence
 * Definition:Complex Function
 * Definition:Real Interval
 * Definition:Real Interval/Open
 * Definition:Real Interval/Closed
 * Definition:Real Interval/Half Open


 * Definition:Series


 * Definition:Derivative
 * Definition:Differential Equation
 * Definition:Differential Equation/Solution

Geometry

 * Definition:Geometry
 * Definition:Point
 * Definition:Line
 * Definition:Line/Endpoint
 * Definition:Line/Segment
 * Definition:Line/Straight Line
 * Definition:Line/Curve
 * Definition:Linear Measure/Length
 * Definition:Geometric Figure
 * Definition:Intersection (Geometry)
 * Definition:Locus


 * Definition:Circle
 * Definition:Circle/Circumference
 * Definition:Circle/Center
 * Definition:Polygon
 * Definition:Polygon/Vertex
 * Definition:Polygon/Side
 * Definition:Triangle (Geometry)
 * Definition:Quadrilateral/Square
 * Definition:Angle
 * Definition:Right Angle
 * Definition:Perpendicular
 * Definition:Surface
 * Definition:Surface/Plane Surface
 * Definition:Dimension (Geometry)


 * Definition:Volume
 * Definition:Polyhedron
 * Definition:Polyhedron/Face
 * Definition:Area
 * Definition:Surface/The Plane


 * Definition:Tangent/Geometry/Tangent Line


 * Definition:Coordinate System/Origin
 * Definition:Cartesian Coordinate System/Coordinate Plane
 * Definition:Axis/X-Axis

Metric Spaces to Topology

 * Definition:Metric Space
 * Definition:Open Ball
 * Definition:Open Set/Real Analysis/Real Euclidean Space


 * Definition:Topology
 * Definition:Topological Space
 * Definition:Open Set/Topology
 * Definition:Closed Set/Topology
 * Definition:Closure (Topology)
 * Definition:Continuous Mapping (Topology)
 * Definition:Continuous Mapping (Topology)/Everywhere


 * Definition:Hilbert Space

Category Theory

 * Definition:Category
 * Definition:Metacategory
 * Definition:Morphism
 * Definition:Object (Category Theory)
 * Definition:Functor/Covariant
 * Definition:Commutative Diagram

Graph Theory

 * Definition:Graph (Graph Theory)
 * Definition:Graph (Graph Theory)/Vertex
 * Definition:Graph (Graph Theory)/Edge
 * Definition:Directed Graph
 * Definition:Tree (Graph Theory)/Node
 * Definition:Rooted Tree

Physics

 * Definition:Physics
 * Definition:Dimension (Measurement)
 * Definition:Time
 * Definition:Body
 * Definition:Mass
 * Definition:Force
 * Definition:Unit of Measurement
 * Definition:Imperial
 * Definition:SI Units
 * Definition:Metre
 * Definition:Time/Unit/Second
 * Definition:Gram


 * Definition:Magnitude
 * Definition:Linear Measure

Computer Science

 * Definition:Algorithm

Probability Theory

 * Definition:Measure Space
 * Definition:Measure (Measure Theory)
 * Definition:Probability Space
 * Definition:Experiment
 * Definition:Random Variable
 * Definition:Random Variable/Discrete
 * Definition:Expectation
 * Definition:Game
 * Definition:Game/Player
 * Definition:Move


 * Definition:Population