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Translation (geometry)

In Euclidean geometry, a translation is a geometric transformation that moves every point of a figure, shape or space by the same distance in a given direction. A translation can also be interpreted as the addition of a constant vector to every point, or as shifting the origin of the coordinate system. In a Euclidean space, any translation is an isometry.

Applications & Standards

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

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Overview

As a function

As an operator

As a group

Matrix representation

Translation of axes

Translational symmetry

Translations of a graph

Applications

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

Translation (geometry)

Nodes81
Edges80
Triples0
Avg. degree1.98
Density0.024691
Components1

How this topic connects Entity context

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Important terminology Word statistics

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Important terminology

translation displaystyle function direction translations vector space graph point transformation parallel group translational also mathbf object points always figure operator

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

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