Binary Matrix Model: Difference between revisions

From Dialogic Design Science
Jump to navigation Jump to search
(Created page with " whereNisabinarymatrix,Visasetofcontextualelements associatedinaone-to-onemannerwiththeverticalindex setIsofN,H isasetofcontextualelementsassociated inaone-to-onemannerwit...")
 
No edit summary
Line 1: Line 1:


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.

Revision as of 03:45, 18 January 2022

A Binary Matrix Model is a binary matrix and three associations (indicated by colons), i.e.
M = { N, V: Is, H: It, : 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

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

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

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