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Affine involution

In Euclidean geometry, an affine involution is an involution which is a linear or affine transformation over the Euclidean space ⁠ R n {\displaystyle \mathbb {R} ^{n}} ⁠. Such involutions are easy to characterize and they can be described geometrically.[clarification needed]

Linear involutions, Affine involutions & Isometric involutions

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Overview

Linear involutions

Affine involutions

Isometric involutions

Advanced semantic analysis

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Map overview Semantic statistics

Affine involution

Nodes31
Edges30
Triples8
Avg. degree1.94
Density0.064516
Components1

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Affine involution

Top relations

related to Affine involutions · 4
Affine involution → Affine, Geometrically, If, One
is a · 2
Affine involution → involution which is a linear or affine transformation over the Euclidean space, isometry
related to Isometric involutions · 2
Affine involution → In, The

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Important terminology

involution affine linear displaystyle involutions identity matrix form mathbf oblique space geometrically reflection reflections number point mathbb hyperplanes eigenspace eigenvalue

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Affine involutionis ainvolution which is a linear or affine transformation over the Euclidean space0.90text
Affine involutionis aisometry0.90text
Affine involutionrelated to Affine involutionsIf0.60section
Affine involutionrelated to Affine involutionsOne0.60section
Affine involutionrelated to Affine involutionsGeometrically0.60section
Affine involutionrelated to Affine involutionsAffine0.60section
Affine involutionrelated to Isometric involutionsIn0.60section
Affine involutionrelated to Isometric involutionsThe0.60section

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