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Dimension (vector space)

In mathematics, the dimension of a vector space V is the cardinality (i.e., the number of vectors) of a basis of V over its base field. It is sometimes called Hamel dimension (after Georg Hamel) or algebraic dimension to distinguish it from other types of dimension.

Generalizations, Properties & Examples

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Research this topic

Explore the main themes, entities and connections around Dimension (vector space). Start with the topic map, then use the sections below for research and deeper semantic analysis.

Explore this topic

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Topics to explore

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Overview

Examples

Properties

Generalizations

Sources

Advanced semantic analysis

Deeper signals for content research, entity SEO and topical coverage. The plain-language headings explain what each technical view is useful for.

Map overview Semantic statistics

Dimension (vector space)

Nodes52
Edges51
Triples0
Avg. degree1.96
Density0.038462
Components1

How this topic connects Entity context

See the strongest relationship patterns around the current topic before diving into the raw triples.

Important terminology Word statistics

Use these terms to understand the vocabulary surrounding the topic, not as a checklist for keyword stuffing.

Important terminology

dimension displaystyle space vector dim field trace basis linear mathbb algebra cardinality identity tr mathematics right spaces dimensions notion number

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc

Related concept clusters Concept neighborhoods

These clusters group vocabulary that occurs around closely connected concepts in the source material.

    Connections between topic areas Semantic bridges

    Bridges can reveal useful research angles that are easy to miss in a flat list of related terms.

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