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Distance matrix: Applications & Science

In mathematics, computer science and especially graph theory, a distance matrix is a square matrix (two-dimensional array) containing the distances, taken pairwise, between the elements of a set. Depending upon the application involved, the "distance" being used to define this matrix may or may not be a metric. If there are N elements, this matrix will…

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Distance matrix topic overview

The analysis highlights Applications and Science as prominent areas in the source structure around Distance matrix.

Related topics
72
Source areas
11
Connected nodes
83
Extracted relationships
76
Concept neighborhoods
38
Bridge connections
83

What this topic covers Research coverage

Source areas are shown by the number of related topics found in each part of the analysis. Use smaller areas too: they can reveal specialized angles and content gaps.

Overview · 23 topics
Bioinformatics · 10 topics
Information retrieval · 10 topics
Metric distance matrix · 8 topics
Non-metric distance matrix · 7 topics
Chemistry · 4 topics
Data Mining and Machine Learning · 4 topics
Additive distance matrix · 2 topics
Examples · 2 topics
Other Applications · 1 topics
Ultrametric distance matrix · 1 topics

Smaller areas are not necessarily less important. They contain fewer connections in this analysis and can be useful for finding specialized angles or coverage gaps.

Explore all related topics Closing gaps

Browse the complete topic structure, not only the most central items. Less prominent entities and concepts can reveal missing angles, specialized context and useful research gaps. Each item opens a new analysis centered on that subject.

Overview

Non-metric distance matrix

Metric distance matrix

Additive distance matrix

Ultrametric distance matrix

Bioinformatics

Data Mining and Machine Learning

Information retrieval

Chemistry

Other Applications

Examples

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.

How Distance matrix connects Entity context

The extracted context around Distance matrix shows recurring relationship patterns in the source. For example, Distance matrix → C6H14, Creating, Distance, Householder, However, Le Verrier-Fadeev-Frame, LVFF, QL, The Another extracted example is Distance matrix → additive matrix, different type of distance matrix that is based on the graph-theoretical distance matrix of a molecule to represent and graph the 3-D molecule structure, essential element, mathematical object widely used in both graphical-theoretical, special type of matrix used in bioinformatics to build a phylogenetic tree, square matrix, weighted adjacency matrix of some graph. Use these groups to spot repeated connection types before inspecting the individual relationships.

Distance matrix

Top relations

related to Graph-theoretical Distance matrix · 9
Distance matrix → C6H14, Creating, Distance, Householder, However, Le Verrier-Fadeev-Frame, LVFF, QL, The
is a · 7
Distance matrix → additive matrix, different type of distance matrix that is based on the graph-theoretical distance matrix of a molecule to represent and graph the 3-D molecule structure, essential element, mathematical object widely used in both graphical-theoretical, special type of matrix used in bioinformatics to build a phylogenetic tree, square matrix, weighted adjacency matrix of some graph
related to Additive distance matrix · 7
Distance matrix → An, Every, Let, Mij, Mix, Mxj, This
related to Geometric-Distance Matrix · 7
Distance matrix → Also, As, Cartesian, Dij, However, The, While
related to Non-metric distance matrix · 7
Distance matrix → An, Given, In, Matrix, Since, There, This
related to Bioinformatics · 6
Distance matrix → Distance, NMR, Sometimes, The, They, X-ray
related to Structure-property model · 5
Distance matrix → Distance, Implicit, The Weiner, Weiner, Weiner Index
related to Sequence alignment · 4
Distance matrix → An, In, One, The
related to Ultrametric distance matrix · 4
Distance matrix → It, Mij, TA, The
related to Examples · 3
Distance matrix → Euclidean, For, The

Important terminology

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

Important terminology

distance matrix used tree based methods data alignment distances matrices two set metric graph clustering species sequences method algorithm additive

Distance matrix relationships Subject–Predicate–Object triples

TTTA extracted 76 structured relationships around Distance matrix. Examples in this analysis include Distance matrix → is a → square matrix and Distance matrix → is a → weighted adjacency matrix of some graph. The table shows each extracted connection, where it came from and its confidence.

SubjectPredicateObjectConfidenceSrc
Distance matrixis asquare matrix0.90text
Distance matrixis aweighted adjacency matrix of some graph0.90text
Distance matrixis aspecial type of matrix used in bioinformatics to build a phylogenetic tree0.90text
Distance matrixis aadditive matrix0.90text
Distance matrixis aessential element0.90text
Distance matrixis amathematical object widely used in both graphical-theoretical0.90text
Distance matrixis adifferent type of distance matrix that is based on the graph-theoretical distance matrix of a molecule to represent and graph the 3-D molecule structure0.90text
phylogeny reconstructioninstance ofdistance matrix became the representation of the similarity measure between all the different pairs of data in the set.Hierarchical clusteringA distance matrix is necessary for…0.80text
phylogeny reconstructioninstance ofHierarchical clusteringA distance matrix is necessary for traditional hierarchical clustering algorithms which are often heuristic methods employed in biological sciences0.80text
Distance matrixrelated to Additive distance matrixAn0.60section
Distance matrixrelated to Additive distance matrixLet0.60section
Distance matrixrelated to Additive distance matrixMij0.60section

Related concept clusters Concept neighborhoods

The concept neighborhoods around Distance matrix bring nearby vocabulary together. In this analysis, examples include Matrix, Used and Based. Use the clusters to find adjacent concepts and terminology that may deserve separate research.

  • Distance matrix
    • Matrix
    • Used
    • Based
    • Data
    • Matrices
    • Methods
    • Metric
    • Set
    • Clustering
    • Tree
    • Algorithms
    • Number
  • distance matrix
    • Matrix
    • Used
    • Based
    • Data
    • Matrices
    • Set
    • Tree
    • Methods
    • Metric
    • Clustering
    • Algorithms
    • Additive
  • graph theory
    • Weights
    • Edge
    • Different
    • Using
    • Set
    • Two
    • Distances
    • Matrix
    • Based
    • Learning
    • Machine
    • Retrieval
  • square matrix
    • Used
    • Based
    • Set
    • Tree
    • Clustering
    • Data
    • Methods
    • Algorithms
    • Additive
    • Learning
    • Machine
    • Example
  • distances
    • Sequences
    • Set
    • Matrices
    • Data
    • Different
    • Elements
    • Using
    • Graph
    • Based
    • Two
    • Matrix
    • Tree
  • multiple sequence alignment
    • Multiple
    • Sequence
    • Sequences
    • Two
    • Phylogenetic
    • Using
    • One
    • Used
    • Algorithm
    • Method
    • Methods
    • Based
  • hierarchical clustering
    • Algorithms
    • Learning
    • Machine
    • Data
    • Matrix
    • Number
    • Distance
    • Method
    • Matrices
    • Two
    • Methods
    • Based
  • adjacency matrix
    • Used
    • Based
    • Set
    • Tree
    • Clustering
    • Data
    • Methods
    • Algorithms
    • Additive
    • Learning
    • Machine
    • Example

Connections between topic areas Semantic bridges

For Distance matrix, one of the stronger structural bridges in this analysis connects Distance matrix with Overview. Bridges highlight paths between different parts of the map and can reveal research angles that are easy to miss in a flat list.

Min side: 3
Distance matrix — Overview · splits 60 ⟂ 24
Distance matrix — Bioinformatics · splits 73 ⟂ 11
Distance matrix — Information retrieval · splits 73 ⟂ 11
Distance matrix — Metric distance matrix · splits 75 ⟂ 9
Distance matrix — Non-metric distance matrix · splits 76 ⟂ 8
Distance matrix — Data Mining and Machine Learning · splits 79 ⟂ 5
Distance matrix — Chemistry · splits 79 ⟂ 5
Distance matrix — Additive distance matrix · splits 81 ⟂ 3
Distance matrix — Examples · splits 81 ⟂ 3

Map overview Semantic statistics

Distance matrix

Nodes84
Edges83
Triples76
Avg. degree1.98
Density0.02381
Components1

Source & methodology

TTTA analyzes the structure around Distance matrix to surface related topics, entities, relationships, concept neighborhoods and bridge connections. Use the map to explore areas such as Applications & Science, including less central topics that may reveal useful research gaps. Automatically extracted connections are research leads rather than rewritten encyclopedia content.

Source: Wikipedia — Distance matrix · EN edition · Analysis: TopicsToTalkAbout

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