About: Trace diagram

Facets (new session)
Description
Metadata
Settings
- Rule:
- Inverse Functional Properties:
- "Same As":

About: Trace diagram Goto Sponge NotDistinct Permalink

An Entity of Type : yago:WikicatDiagramAlgebras, within Data Space : dbpedia.org associated with source document(s)
QRcode icon

http://dbpedia.org/describe/?url=http%3A%2F%2Fdbpedia.org%2Fresource%2FTrace_diagram

In mathematics, trace diagrams are a graphical means of performing computations in linear and multilinear algebra. They can be represented as (slightly modified) graphs in which some edges are labeled by matrices. The simplest trace diagrams represent the trace and determinant of a matrix. Several results in linear algebra, such as Cramer's Rule and the Cayley–Hamilton theorem, have simple diagrammatic proofs. They are closely related to Penrose's graphical notation.

Attributes	Values
rdf:type	software yago:WikicatApplication-specificGraphs yago:WikicatTensors yago:Abstraction100002137 yago:Algebra106012726 yago:Cognition100023271 yago:Communication100033020 yago:Concept105835747 yago:Content105809192 yago:Discipline105996646 yago:Graph107000195 yago:Idea105833840 yago:KnowledgeDomain105999266 yago:Mathematics106000644 yago:PsychologicalFeature100023100 yago:PureMathematics106003682 yago:Quantity105855125 yago:Science105999797 yago:Tensor105864481 yago:Variable105857459 yago:VisualCommunication106873252 yago:WikicatDiagramAlgebras
rdfs:label	Trace diagram (en)
rdfs:comment	In mathematics, trace diagrams are a graphical means of performing computations in linear and multilinear algebra. They can be represented as (slightly modified) graphs in which some edges are labeled by matrices. The simplest trace diagrams represent the trace and determinant of a matrix. Several results in linear algebra, such as Cramer's Rule and the Cayley–Hamilton theorem, have simple diagrammatic proofs. They are closely related to Penrose's graphical notation. (en)
foaf:depiction
dcterms:subject	Diagrams Application-specific graphs Diagram algebras Matrix theory Linear algebra Multilinear algebra Tensors
Wikipage page ID	14674709 (xsd:integer)
Wikipage revision ID	1047833258 (xsd:integer)
Link from a Wikipage to another Wikipage	Predrag Cvitanović Multilinear map Representation theory Determinant Character variety Characteristic polynomial Vector space Degree (graph theory) Invariant (mathematics) Signed graph Diagrams Cross product Application-specific graphs Mathematics Matrix (mathematics) Penrose graphical notation Diagram algebras Graph (discrete mathematics) Multilinear algebra Conjugacy class Levi-Civita symbol Lie groups Linear algebra Matrix theory Cayley–Hamilton theorem Trace (linear algebra) Gain graph Cramer's Rule Linear algebra Edge coloring Multilinear algebra Field (mathematics) Graph theory Tensor Tensors Dot product Loop (graph theory) Vertex (graph theory) Linear transformation Spin network Vector identities Penrose's graphical notation Anti-symmetric tensor dbr:Birdtracks
Link from a Wikipage to an external page	http://birdtracks.eu/
sameAs	Trace diagram Trace diagram Trace diagram Trace diagram
dbp:wikiPageUsesTemplate	dbt:Short_description
thumbnail	wiki-commons:Special:FilePath/Trace_diagram_adjugate.png?width=300
has abstract	In mathematics, trace diagrams are a graphical means of performing computations in linear and multilinear algebra. They can be represented as (slightly modified) graphs in which some edges are labeled by matrices. The simplest trace diagrams represent the trace and determinant of a matrix. Several results in linear algebra, such as Cramer's Rule and the Cayley–Hamilton theorem, have simple diagrammatic proofs. They are closely related to Penrose's graphical notation. (en)
gold:hypernym	Means
prov:wasDerivedFrom	wikipedia-en:Trace_diagram?oldid=1047833258&ns=0
page length (characters) of wiki page	8891 (xsd:nonNegativeInteger)

Faceted Search & Find service v1.17_git139 as of Feb 29 2024

Alternative Linked Data Documents: ODE Content Formats:

RDF

ODATA

Microdata

About

OpenLink Virtuoso version 08.03.3330 as of Mar 19 2024, on Linux (x86_64-generic-linux-glibc212), Single-Server Edition (378 GB total memory, 53 GB memory in use)
Data on this page belongs to its respective rights holders.
Virtuoso Faceted Browser Copyright © 2009-2024 OpenLink Software