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Vector-valued function

A vector-valued function, also referred to as a vector function, is a mathematical function of one or more variables whose range is a set of multidimensional vectors or infinite-dimensional vectors. The input of a vector-valued function could be a scalar or a vector (that is, the dimension of the domain could be 1 or greater than 1); the dimension of the…

Derivative of a three-dimensional vector function, Vector field & Infinite-dimensional vector functions

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Derivative of a three-dimensional vector function

Scalar-valued functionsOrdinary time derivativePositionVelocityAcceleration
20 related topics

Vector field

Vector calculusSpaceEuclidean spacePlaneUnit of measurement
30 related topics

Infinite-dimensional vector functions

Infinite-dimensionalVector spaceHilbert spaceArgumentMutatis mutandis
11 related topics

Linear case

LinearMatricesParametersTranslationMultiple regression
6 related topics

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Overview

Linear case

Parametric representation of a surface

Derivative of a three-dimensional vector function

Infinite-dimensional vector functions

Vector field

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Vector-valued function

Nodes84
Edges83
Triples34
Avg. degree1.98
Density0.02381
Components1

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Vector-valued function

Top relations

related to External links · 13
Vector-valued function → Archived, Dimensional, East Tennessee State University, Eric, Everything2, Khan Academy, Lake Tahoe Community College, MathWorld, Position Vector Valued Functions, Vector Function, Vector-valued, Wayback Machine, Weisstein
related to Derivative of a three-dimensional vector function · 5
Vector-valued function → Cartesian, Likewise, Many, The, Thus
related to Example: Helix · 4
Vector-valued function → Cartesian, In, It, The
related to Parametric representation of a surface · 4
Vector-valued function → Cartesian, For, Here, One
related to Reference frames · 4
Vector-valued function → Cartesian, Once, The, Whereas
is a · 1
Vector-valued function → intersection of the domains of the functions f

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Important terminology

vector function displaystyle derivative mathbf space reference vector-valued functions velocity frac frame case one field also vectors partial surface point

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Vector-valued functionis aintersection of the domains of the functions f0.90text
the divergenceinstance ofand this physical intuition leads to notions0.80text
surfacesinstance ofbut also make sense on other subsets0.80text
where they associate an arrow tangent to the surface at each pointinstance ofbut also make sense on other subsets0.80text
Vector-valued functionrelated to Derivative of a three-dimensional vector functionMany0.60section
Vector-valued functionrelated to Derivative of a three-dimensional vector functionCartesian0.60section
Vector-valued functionrelated to Derivative of a three-dimensional vector functionThus0.60section
Vector-valued functionrelated to Derivative of a three-dimensional vector functionThe0.60section
Vector-valued functionrelated to Derivative of a three-dimensional vector functionLikewise0.60section
Vector-valued functionrelated to Example: HelixIn0.60section
Vector-valued functionrelated to Example: HelixCartesian0.60section
Vector-valued functionrelated to Example: HelixIt0.60section

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