File:Bacterial-tensor-contracted-product.svg

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Original file ‎(SVG file, nominally 1,040 × 179 pixels, file size: 35 KB)

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Summary[edit]

Description
English: Contracted product of two tensors.
Français : Produit tensoriel contracté de deux tenseurs.
Date
Source Own work
Author Thomas Douillard
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SVG development
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The SVG code is valid.
 
This chart was created with Graphviz.
Source code
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Graphviz mscgen code

Graphviz dot code 
Digraph f { 
 
 	node [lblstyle="font=\huge"]
 	subgraph G1 {
 		rankdir="TB"
 		rotation = 10
 		subgraph G11{
 			node [ style="invisible", label="" shape=none ]
 			rankdir="LR";
 			rank="same";
 			a1 
 			a2
 		}
 		
 		lbla [
 			label = "(S C E* G )", shape=none
 			texlbl="$S \in (E^* \otimes G)$"]
 
 		{
 		rank=same	
 		a [ label="" style=filled fillcolor="#0099ff" ]
 		ab [label = ".", shape=none 
 			texlbl="$ \odot $", lblstyle="font=\Huge"]
 		}
 		a1->a [ color="#800000" arrowtail=crow dir=back ] 
 		a->a2 [ arrowhead="veevee" color="#008000"];
 		
 		a-> lbla [style = "invisible" arrowhead = none ]
 		
 		};
 
 	
 	
 	
 
 	subgraph G2 {
 		rankdir="TB"
 		
 		subgraph G21{
 			rankdir="LR";
 			rank="same";
 			node [style="invisible", label="" shape = none]
 			b1 
 			b2 
 			b3 
 		}
 		{ rank = same			
 			b [ label="",  style=filled fillcolor="#0047ff" ]
 			bc [ label = "=", texlbl="$=$" lblstyle="font=\Huge" shape=none]
 		}
 		lblb [
 			label = "(TinG*E*F )", shape=none
 			texlbl="$T \in (G^* \otimes E^* \otimes F)$"]
 		
 		b-> lblb [style = "invisible" arrowhead = none ]
 		b1->b [ arrowtail="crow" dir=back color="#800000"] ;
 		b2->b [ arrowtail="crowcrow" dir=back color="#008000"];
 		b->b3 [ color="#808000"];
 	};
 
 	subgraph G3 {
 		rankdir="TB"
 		
 		subgraph G31{
 			rankdir="LR";
 			rank="same";
 			node [ style="invisible" label="" shape=none]
 			c1 
 			c3 
 			c4 
 		}
 		subgraph c {
 			rank = same
 			
 			ca [ label="", style=filled fillcolor="#0099ff" ]
 			c2 [ style="invisible", shape=point]
 			cb [ label="", style=filled fillcolor="#0047ff"]
 			cd [ label = "=", texlbl="$=$" , lblstyle="font=\Huge" shape=none]
 		}
 
 			c1->ca [ arrowtail="crow" dir=back color="#800000"] ;
 			ca->c2 [ arrowhead="veevee" color="#008000"];
 			c2->cb [ arrowtail="crowcrow" dir=back color="#008000"];
 			c4->cb [ arrowtail="crow" dir=back color="#800000"] ;
 			cb->c3 [ color="#808000"];
 	};
 	subgraph G4 {
 
 		rankdir="TB"
 		
 		subgraph G41{
 			rankdir="LR";
 			rank="same";
 			node  [ style="invisible" label="" shape=none ]
 			d1
 			d2 
 			d3 
 		}
 		{
 		rank = same
 		
 		da [ label="", style =filled, fillcolor="#0099ff" ]
 		}
 
 		
 		lbld [
 			label = "S.D in ", shape=none
 			texlbl="$S\odot D \in (E^* \otimes E^* \otimes F)$"]
 		
 		da -> lbld [style = "invisible" arrowhead=none]
 		
 		d1->da [arrowtail="crow" dir=back color="#800000"] 
 		d2->da [arrowtail=crow dir=back color="#800000"] 
 		da->d3 [color="#808000"];
 	};
 		
 }

== With following toolchain syntax2=tex code == 

dot2tex -tmath --preproc --usepdflatex "$base.dot" ┃ dot2tex --usepdflatex --crop -d > "$base.tex" 
 
 pdflatex "$base.tex" 
 pdf2svg "$base.pdf" "$base.svg"

Licensing[edit]

I, the copyright holder of this work, hereby publish it under the following license:
Creative Commons CC-Zero This file is made available under the Creative Commons CC0 1.0 Universal Public Domain Dedication.
The person who associated a work with this deed has dedicated the work to the public domain by waiving all of their rights to the work worldwide under copyright law, including all related and neighboring rights, to the extent allowed by law. You can copy, modify, distribute and perform the work, even for commercial purposes, all without asking permission.

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Date/TimeThumbnailDimensionsUserComment
current21:30, 5 February 2013Thumbnail for version as of 21:30, 5 February 20131,040 × 179 (35 KB)TomT0m (talk | contribs){{Information |Description ={{en|1=Contracted product of two tensors. SVG version of Bacterial-tensor-contracted-product.png}} {{fr|1=Produit tensoriel contracté de deux tenseurs.}} |Source ={{Own}} |Author =Thomas Douillard |Da...

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