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Size function

Size functions are shape descriptors, in a geometrical/topological sense. They are functions from the half-plane x < y {\displaystyle x<y} to the natural numbers, counting certain connected components of a topological space. They are used in pattern recognition and topology.

History & Applications

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

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Overview

Formal definition

History and applications

Main properties

Representation by formal series

Advanced semantic analysis

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Map overview Semantic statistics

Size function

Nodes32
Edges31
Triples19
Avg. degree1.94
Density0.0625
Components1

How this topic connects Entity context

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Size function

Top relations

related to history · 7
Size function → An, Euclidean, Here, In, It, Size, The
related to Formal definition · 4
Size function → Delta, For, In, The
related to Main properties · 3
Size function → Assume, Hausdorff, The
related to Representation by formal series · 3
Size function → An, Formally, The
is a · 2
Size function → matching distance, rank of the 0

Important terminology Word statistics

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Important terminology

size displaystyle function functions varphi ell every topological measuring space topology theory concept natural connected formal series mathbb equal point

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Size functionis arank of the 00.90text
Size functionis amatching distance0.90text
Size functionrelated to Formal definitionIn0.60section
Size functionrelated to Formal definitionDelta0.60section
Size functionrelated to Formal definitionFor0.60section
Size functionrelated to Formal definitionThe0.60section
Size functionrelated to historySize0.60section
Size functionrelated to historyEuclidean0.60section
Size functionrelated to historyHere0.60section
Size functionrelated to historyIn0.60section
Size functionrelated to historyAn0.60section
Size functionrelated to historyThe0.60section

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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    Min side: 3
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