Binary Matrix Model - Revision history

Laouris at 09:48, 18 January 2022

2022-01-18T09:48:04Z

← Older revision		Revision as of 09:48, 18 January 2022
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	A '''Binary Matrix Model''' is a binary matrix and three associations (indicated by colons), i.e. <br> ~~M = { N, V: I<sub>s</sub>, H: I<sub>t</sub>, ''R̂'': ''R'' }~~		A '''Binary Matrix Model''' is a binary matrix and three associations (indicated by colons), i.e. <br>
	~~\|ref~~

			M = { N, V: I<sub>s</sub>, H: I<sub>t</sub>, ''R̂'': ''R'' }


	N: ~~abinarymatrix~~		N: a binary matrix
	V: a set of contextual elements associated in a one-to-one manner with the vertical index		V: a set of contextual elements associated in a one-to-one manner with the vertical index
	set Is of N, H is a set of contextual elements associated in a one-to-one manner with the horizontal index set I, of N		set Is of N, H is a set of contextual elements associated in a one-to-one manner with the horizontal index set I, of N

	I: a contextual relation associated with the binary relation induced on I,xI,~~byN~~.		I: a contextual relation associated with the binary relation induced on I, xI, by N.

	~~ThesetVis~~		The set V is called the vertical index set of the model, and H is its horizontal index set.
	called the vertical index set of the model, and H is its horizontal index set.

	The contextual relation I is called		The contextual relation I is called the model relation, and the matrix N is called the model
	the model relation, and the matrix N is called the model
	matrix. Also, N may often be given a specific name for a		matrix. Also, N may often be given a specific name for a
	specific kind of binary-matrix model.		specific kind of binary-matrix model.

Laouris at 09:46, 18 January 2022

2022-01-18T09:46:20Z

← Older revision		Revision as of 09:46, 18 January 2022
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	matrix. Also, N may often be given a specific name for a		matrix. Also, N may often be given a specific name for a
	specific kind of binary-matrix model.		specific kind of binary-matrix model.



			Warfield, J. N. (1976). Implication structures for system interconnection matrices. IEEE Transactions on Systems, Man, and Cybernetics, (1), 18-24.
			https://en.wikipedia.org/wiki/Logical_matrix

Laouris at 09:45, 18 January 2022

2022-01-18T09:45:30Z

← Older revision		Revision as of 09:45, 18 January 2022
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			A '''Binary Matrix Model''' is a binary matrix and three associations (indicated by colons), i.e. <br> M = { N, V: I<sub>s</sub>, H: I<sub>t</sub>, ''R̂'': ''R'' }
			\|ref



			N: abinarymatrix
			V: a set of contextual elements associated in a one-to-one manner with the vertical index
			set Is of N, H is a set of contextual elements associated in a one-to-one manner with the horizontal index set I, of N

	~~whereNisabinarymatrix~~,~~Visasetofcontextualelements~~		I: a contextual relation associated with the binary relation induced on I,xI,byN.
	~~associatedinaone-to-onemannerwiththeverticalindex~~
	~~setIsofN~~,~~H isasetofcontextualelementsassociated~~		ThesetVis
	~~inaone-to-onemannerwiththehorizontalindexsetI,~~		called the vertical index set of the model, and H is its horizontal index set.
	~~ofN,andIisacontextualrelationassociatedwiththe~~
	~~binaryrelation9inducedonI~~,~~xI,byN~~.~~ThesetVis~~		The contextual relation I is called
	~~calledtheverticalindexsetofthemodel,andH isits~~		the model relation, and the matrix N is called the model
	~~horizontalindexset.ThecontextualrelationI iscalled~~		matrix. Also, N may often be given a specific name for a
	~~themodelrelation~~,~~andthematrixN iscalledthemodel~~		specific kind of binary-matrix model.
	matrix.Also,N ~~mayoftenbegivenaspecificnamefora~~
	~~specifickindofbinary~~-~~matrixmodel~~.

Laouris: Created page with " whereNisabinarymatrix,Visasetofcontextualelements associatedinaone-to-onemannerwiththeverticalindex setIsofN,H isasetofcontextualelementsassociated inaone-to-onemannerwit..."

2022-01-18T09:41:13Z

Created page with " whereNisabinarymatrix,Visasetofcontextualelements associatedinaone-to-onemannerwiththeverticalindex setIsofN,H isasetofcontextualelementsassociated inaone-to-onemannerwit..."

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whereNisabinarymatrix,Visasetofcontextualelements
associatedinaone-to-onemannerwiththeverticalindex
setIsofN,H isasetofcontextualelementsassociated
inaone-to-onemannerwiththehorizontalindexsetI,
ofN,andIisacontextualrelationassociatedwiththe
binaryrelation9inducedonI,xI,byN.ThesetVis
calledtheverticalindexsetofthemodel,andH isits
horizontalindexset.ThecontextualrelationI iscalled
themodelrelation,andthematrixN iscalledthemodel
matrix.Also,N mayoftenbegivenaspecificnamefora
specifickindofbinary-matrixmodel.