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Connection matrix theory for discrete dynamical systems

1999
*
Banach Center Publications
*

This structure is called

doi:10.4064/-47-1-67-78
fatcat:rcdnzv6dhvfm3bmsjzwibbobpe
*a*Morse decomposition*of*an isolated invariant*set*.*A*filtration*of**index*pairs associated with*a*Morse decomposition can be used to find connections between Morse*sets*. ... In [BD] we have proved the existence*of**index*triples and*index*filtrations for dynamical systems given by*a*homeomorphism (*discrete*dynamical systems). ... Thus the*index*filtration defines an*index*pair for each Morse*set*. For the Morse*set*M (J) we will denote by C(J) the singular*chain*complex*of*the quotient space N (K)/N (I). ...##
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Research on Supplier Evaluation in a Green Supply Chain

2019
*
Discrete Dynamics in Nature and Society
*

The result

doi:10.1155/2019/2601301
fatcat:clilszg6frgvzafu2pgy2bamqu
*of*the example shows that the algorithm has practicability and*a*dipartite*degree*. ... The supplier is considered to be attractive under green supply*chain*management; supplier evaluation is also confronted with*a*serious challenge. ... measurement and promotion strategy*of*industry on the supply side reform*of*Liaoning province" (serial number: LNKX2018-2019A8). ...##
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A Risk Management Model For The Capacitated Continuous Location Allocation Problem

2013
*
Journal of Mathematics and Computer Science
*

Finally,

doi:10.22436/jmcs.06.01.01
fatcat:sx4bfyu6zra3ve4upcymzzagmq
*a*risk management model is proposed with presentation*of**degree*satisfaction concept*of*each risk as objective function. ...*A*facility belongs to*a*zone when is located in*a*predetermined radius from center*of*the zone. Because*of*uncertain budget and demand, the model is considered in fuzzy environment. ... Since, there is*a*1 ≤ 1 , ∀ = 1,2, … , ∈ 0,1 , ∈ ℤ , ∈ ℛ,, ∀ = 1,2, … , , ∀ = 1,2, … , Description Notations*Sets*/Indices*set**of*zones (demand points) in*a*continuous space*indexed*by ...##
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Study on the Evaluation for the Knowledge Sharing Efficiency of the Knowledge Service Network System in Agile Supply Chain

2015
*
Open Cybernetics and Systemics Journal
*

After evaluation

doi:10.2174/1874110x01509010384
fatcat:o6rkmxehnzcmrlhgm6sbhlcth4
*indexes*were reduced with rough*set*theory,*a*knowledge sharing efficiency evaluation model for the knowledge service network system in agile supply*chain*was established with error back ... In this paper, an evaluation*index*system for the knowledge sharing efficiency*of*the knowledge service network system in agile supply*chain*was constructed in terms*of*knowledge system, knowledge sharing ... Rough*Set*Reduction*Indexes*Rough*set*theory is*a*mathematical tool to process fuzzy and uncertain knowledge, which is applicable to solving the qualitative*index*screening problem in knowledge sharing ...##
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The edge-Wiener index and the edge-hyper-Wiener index of phenylenes

2018
*
Discrete Applied Mathematics
*

The

doi:10.1016/j.dam.2018.07.024
fatcat:k45j5yko4zd4fjexiis7l2rn6u
*degree**of**a*vertex in , ( ), is the number*of*edges incident to and [ , ] denotes the*set**of*vertices adjacent to .*A*pendent vertex is*a*vertex with*degree*one. ... Let be such*a*graph with vertex and edge*sets*( ) and ( ), respectively. The distance between two vertices and in , denoted by ( , | ), is defined as the length*of**a*shortest path between and . ...##
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Fuzzy systems to support industrial engineering management

2012
*
Istrazivanja i projektovanja za privredu
*

*A*fuzzy

*set*(FS) is the generalization

*of*classical (crisp)

*set*. By contrast with classical

*sets*which present

*discrete*borders, FS presents

*a*boundary with

*a*gradual contour. ... Computing

*of*

*a*fuzzy Supply

*Chain*Performance

*Index*(SCPI) for each scenario using

*a*weighted aggregation

*of*PI, using the following expression: 6. where: SCPI -is the Supply

*Chain*Performance

*Index*...

##
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The Multiplicative Zagreb Indices of Nanostructures and Chains

2016
*
Open Journal of Discrete Mathematics
*

In this paper, we present the exact expressions

doi:10.4236/ojdm.2016.62008
fatcat:7742jkvvova7zlim5lt5jix2be
*of*multiplicative Zagreb indices for certain important chemical structures like nanotube, nanostar and polyomino*chain*. ... the chemical characteristics*of*compounds and drugs. ... Acknowledgements We thank all the reviewers for their constructive comments in improving the quality*of*this paper. Research is supported partially by NSFC (No. 11401519) . ...##
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The Multiscale Conformation Evolution of the Financial Time Series

2015
*
Mathematical Problems in Engineering
*

whole conformational evolution network has

doi:10.1155/2015/563145
fatcat:jc3cfysefrbtphreegrdt5mgw4
*a*clustering effect, and there is*a*turning point when the size*of*the*chain**of*multiscale conformations is 14. ... To illustrate, using data*of*Shanghai's composition*index*with daily frequency from 1991 to 2014 as an example, we find that*a*few major conformations are the main contributors*of*evolution progress, the ... Acknowledgments This research was partly supported by the National Natural Science Foundation*of*China (Grant no. 71173199) and the Fundamental Research Funds for the Central Universities (Grant no. 35732015060 ...##
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SAMPLE and TEST: Two FORTRAN IV programs for analysis of discrete-state, time-varying data using first-order, Markov-chain techniques

1984
*
Behavoir research methods, instruments & computers
*

*Discrete*-state Markov-

*chain*analysis provides

*a*means

*of*analyzing change over time in any behavior that can be characterized as occupying one

*of*two or more

*discrete*states at anyone point in time. ...

*A*first-order,

*discrete*-state Markov

*chain*is

*a*sequence

*of*behavior states in which the probability

*of*the organism or system's being in

*a*given state at time t 2 depends on the state the entity was in ... All may be obtained at cost

*of*reproduction and shipping from Robert B. Arundale, Department

*of*Speech and Drama, University

*of*Alaska, Fairbanks, Alaska 99701. ...

##
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Effective persistent homology of digital images
[article]

2014
*
arXiv
*
pre-print

The algorithms have been implemented as extensions

arXiv:1412.6154v1
fatcat:ig3bpquomzdfhib5zhzeydllxq
*of*the Kenzo system and have shown*a*good performance when applied on some actual images extracted from*a*public dataset. ... In this paper, three Computational Topology methods (namely effective homology, persistent homology and*discrete*vector fields) are mixed together to produce algorithms for homological digital image processing ... D,*a*filtered*chain*complex morphism f : C → D is*a**chain*complex morphism which is compatible with the filtrations, that is to say, f (C i n ) ⊆ D i n for each*degree*n and filtration*index*i. ...##
###
Page 5177 of Mathematical Reviews Vol. , Issue 2003g
[page]

2003
*
Mathematical Reviews
*

In the first part they focus on

*a*few topics in the theory*of*isolated invariant*sets*and the*discrete*Conley*index*theory. ... In this paper the author proves that the*chain*transitive compo- nents*of**a*flow on*a*compact Hausdorff topological space X are the components*of*the*chain*recurrent*set*and that each*chain*transitive ...##
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Resolution of hypervariable regions in T-cell receptor beta chains by a modified Wu-Kabat index of amino acid diversity

1990
*
Proceedings of the National Academy of Sciences of the United States of America
*

We show that

doi:10.1073/pnas.87.23.9138
pmid:2251255
pmcid:PMC55119
fatcat:27ak5z3o4ng5fh7vk46v24kre4
*a*simple modification enhances the resolving power*of*the*index*by increasing the weight on the frequency distribution*of*the amino acids in the formula. ... Application*of*the improved*index*to T-cell receptor (I*chains*highlights four unambiguous hypervariable regions, three*of*which are positioned similar to immunoglobulin complementarity-determining regions ... Application*of*the modified diversity*index*to the*set**of*V-region sequences*of*TCR f8*chains*from data base I resolves four*discrete*stretches*of*hypervariable positions that are objectively defined after ...##
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Rate-splitting multiple access for discrete memoryless channels

2001
*
IEEE Transactions on Information Theory
*

As

doi:10.1109/18.915637
fatcat:4urkb3ievvgtbl34fxngoqxvee
*a*by-product, some interesting properties*of*the capacity region*of*-user asynchronous*discrete*memoryless channels are derived. ... This result, which extends*a*similar result for Gaussian channels, reduces the seemingly hard task*of*finding good multiple-access codes to the much better understood task*of*finding good codes for single-user ... to*a**set**of*up to independent (and asynchronous) point-to-point*discrete*memoryless channels. ...##
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Groebner basis degree bounds on ^k[Λ ]_∙(k,k)_∙ and discrete Morse theory for posets
[article]

2003
*
arXiv
*
pre-print

We extend the lexicographic

arXiv:math/0312505v1
fatcat:skemvnza3rb2deulys2ms3zujq
*discrete*Morse function construction*of*Babson and Hersh for the determination*of*the homotopy type and homology*of*order complexes*of*posets to*a*larger class*of*facet orderings ... Moreover, we provide*a*combinatorial construction for*a*free resolution*of*over [Λ] which achieves these bounds. 2. ... Also we will identify*a**set**of**chains*in P , resp. faces*of*∆(P ), with the simplicial complex generated by the*chains*. ...##
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Contents

2003
*
Discrete Mathematics
*

Napolitano
Erratum to ''On

doi:10.1016/s0012-365x(03)00328-5
fatcat:bslcrcntwzew3cock46jo4m2zy
*a*class*of*finite linear spaces with few lines'' [*Discrete*Mathematics 270 (2003) 207-224] 225 O. ... Bokler Lower bounds for the cardinality*of*minimal blocking*sets*in projective spaces 13*A*. Bonato Homomorphisms and amalgamation 33*A*. Bonnecaze, Y. Choie, S.T. Dougherty and P. Sol ! ...
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