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Linear form

In mathematics, a linear form (also known as a linear functional, a one-form, or a covector) is a linear map from a vector space to its field of scalars (often, the real numbers or the complex numbers).

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Explore the main themes, entities and connections around Linear form. Start with the topic map, then use the sections below for research and deeper semantic analysis.

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Overview

Examples

Visualization

Applications

Dual vectors and bilinear forms

Relationship to bases

Over a ring

Change of field

In infinite dimensions

Bibliography

Advanced semantic analysis

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Map overview Semantic statistics

Linear form

Nodes136
Edges135
Triples11
Avg. degree1.99
Density0.014706
Components1

How this topic connects Entity context

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Linear form

Top relations

related to Over a ring · 5
Linear form → Given, Homk, It, Modules, The
see also · 4
Linear form → Discontinuous, Map, Space, Vector
related to Dual vectors and bilinear forms · 2
Linear form → Euclidean, Every

Important terminology Word statistics

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Important terminology

displaystyle linear vector space functional mathbb varphi basis dual functionals left right continuous isbn real operatorname field topological spaces defined

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Linear formrelated to Dual vectors and bilinear formsEvery0.60section
Linear formrelated to Dual vectors and bilinear formsEuclidean0.60section
Linear formrelated to Over a ringModules0.60section
Linear formrelated to Over a ringGiven0.60section
Linear formrelated to Over a ringThe0.60section
Linear formrelated to Over a ringHomk0.60section
Linear formrelated to Over a ringIt0.60section
Linear formsee alsoDiscontinuous0.60section
Linear formsee alsoSpace0.60section
Linear formsee alsoMap0.60section
Linear formsee alsoVector0.60section

Related concept clusters Concept neighborhoods

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    Connections between topic areas Semantic bridges

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    Min side: 3
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