Function of a real variable

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Real function

Real numbers Differentiable Polynomial functions Constant functions Linear functions

16 related topics

General definition

Variable Preimage Equation Analytic continuation Neighbourhood

13 related topics

Overview

Mathematics Function Domain Subset Interval

22 related topics

Calculus

Line integrals Space curve Position vector Dot product Fundamental theorem of calculus

8 related topics

Topics to explore

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Overview

Mathematics
Function Function (mathematics)
Domain Domain of a function
Subset
Interval Interval (mathematics)
Interior Interior (topology)
Continuous Continuous function
Smoothness
Real analysis
Real-valued functions Real-valued function
Codomain
Vector space
Euclidean space
Coordinate vector
Matrices Matrix (mathematics)
Algebra Algebra over a field
Complex numbers Complex number
Quaternions Quaternion
Image Image (mathematics)
Curve Curve (mathematics)
Parametric equation
Finite-dimensional vector space

Real function

Real numbers Real number
Differentiable Differentiable function
Polynomial functions Polynomial function
Constant functions Constant function
Linear functions Linear function (calculus)
Sine
Cosine
Exponential function
Heaviside step function
Absolute value
Cubic root
Rational function
Zeros Zero of a function
Tangent function
Logarithm function
Square root

General definition

Variable Variable (mathematics)
Preimage
Equation
Analytic continuation
Neighbourhood Neighbourhood (mathematics)
Commutative algebras Commutative algebra (structure)
Fields Field (mathematics)
Topological space
Continuous map
Distance function
Limit Limit (mathematics)
Topological closure Closure (topology)
Boundary Boundary (topology)

Calculus

Implicit functions

One-dimensional space curves in R {\displaystyle \mathbb {R} } n

Ordinary derivatives Ordinary derivative
Hyperplane
Velocity
Particle
Acceleration
Radius of curvature Radius of curvature (mathematics)

Matrix valued functions

Banach and Hilbert spaces and quantum mechanics

Banach space
Hilbert space
Ket Bra–ket notation
Operator Operator (physics)
Schrödinger equation

Cardinality of sets of functions of a real variable

Cardinality
Continuum Continuum (set theory)
Dense Dense set
Bijection

Advanced semantic analysis

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Map overview Semantic statistics

Nodes91

Edges90

Triples23

Avg. degree1.98

Density0.021978

Components1

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Function of a real variable

Top relations

related to Banach and Hilbert spaces and quantum mechanics · 6

Function of a real variable → Banach, Generalizing, Hilbert, In, Schrödinger, This

is a · 5

Function of a real variable → curve in the codomain, finite-dimensional vector space, function f, function that takes as input a real number, function whose domain is a subset of R

related to Domain · 4

Function of a real variable → Conversely, In, The, This

related to General definition · 4

Function of a real variable → For, In, Some, To

related to Complex-valued function of a real variable · 1

Function of a real variable → If

related to Implicit functions · 1

Function of a real variable → Instead

Important terminology Word statistics

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Important terminology

function real variable functions domain displaystyle mathbb continuous defined codomain space set may subset curve everywhere real-valued one differentiable often

Entity relationships Subject–Predicate–Object triples

Subject	Predicate	Object	Confidence	Src
Function of a real variable	is a	function whose domain is a subset of R	0.90	text
Function of a real variable	is a	curve in the codomain	0.90	text
Function of a real variable	is a	finite-dimensional vector space	0.90	text
Function of a real variable	is a	function that takes as input a real number	0.90	text
Function of a real variable	is a	function f	0.90	text
derivative	instance of	so notions	0.80	text
integral still apply	instance of	so notions	0.80	text
Function of a real variable	related to Banach and Hilbert spaces and quantum mechanics	Generalizing	0.60	section
Function of a real variable	related to Banach and Hilbert spaces and quantum mechanics	Banach	0.60	section
Function of a real variable	related to Banach and Hilbert spaces and quantum mechanics	Hilbert	0.60	section
Function of a real variable	related to Banach and Hilbert spaces and quantum mechanics	In	0.60	section
Function of a real variable	related to Banach and Hilbert spaces and quantum mechanics	This	0.60	section

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Explore this topic

Real function

General definition

Overview

Calculus

Key facts & relationships

Topics to explore

Overview

Real function

General definition

Calculus

Implicit functions

One-dimensional space curves in R {\displaystyle \mathbb {R} } n

Matrix valued functions

Banach and Hilbert spaces and quantum mechanics

Cardinality of sets of functions of a real variable

Advanced semantic analysis

Map overview Semantic statistics

Function of a real variable

How this topic connects Entity context

Function of a real variable

Top relations

Important terminology Word statistics

Important terminology

Entity relationships Subject–Predicate–Object triples

Related concept clusters Concept neighborhoods

Connections between topic areas Semantic bridges