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Algebraic formulation of flow diagrams

1958
*
Communications of the ACM
*

*ALGEBRAIC*

*FORMULATION*

*OF*

*FLOW*

*DIAGRAMS** EDWARD A. VOORHEES, Univ.

*of*Calif. Los Alamos Scientific Laboratory I. ... It is the purpose

*of*this paper to propose a

*flow*

*diagram*representation (using simple

*algebraic*language) which could be entered directly into the computer. ...

##
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Page 4 of Communications of the Association for Computing Machinery Vol. 1, Issue 6
[page]

1958
*
Communications of the Association for Computing Machinery
*

*ALGEBRAIC*

*FORMULATION*

*OF*

*FLOW*

*DIAGRAMS** EDWARD A. VOORHEES, Univ.

*of*Calif. Los Alamos Scientific Laboratory I. ... It is the purpose

*of*this paper to propose a

*flow*

*diagram*representation (using simple

*algebraic*language) which could be entered directly into the computer. ...

##
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Page 281 of Mathematical Reviews Vol. , Issue 98A
[page]

1998
*
Mathematical Reviews
*

281 46L Selfadjoint operator

*algebras*(C*-*algebras*, von Neumann (WW *-)*algebras*, etc.)*of*interesting results [see D. Shlyakhtenko, C. R. Acad. Sci. ... The authors describe four*formulations**of*quantum dynamical entropy: the*formulation*by Connes, Narnhofer, and Thirring; the*formulation*by Ohya in terms*of*channels and complexities; a construction using ...##
###
An algebraic approach for modeling and simulation of road traffic networks
[article]

2014
*
arXiv
*
pre-print

This choice permits to represent any traffic system with a number

arXiv:1406.6929v1
fatcat:yip5iyqzmbh6zlvpduuuxxavmy
*of*matrices in specific*algebraic*structures. ... Finally, we simulate the traffic on closed regular networks, and derive the macroscopic fundamental traffic*diagram*under the two cases*of*intersection control. ... The*formulation*permits to represent the traffic dynamics in the network by a number*of*matrices in the min-plus*algebra*(a specific*algebraic*structure) (6) . ...##
###
Minimizing Hot and Cold Utility Requirements for Vegetable Oil Refinery Plant Using Pinch Analysis *

english

2015
*
International Journal of Scientific Engineering and Technology
*

english

In this present research work, the process

doi:10.17950/ijset/v4s5/506
fatcat:zr52we575nd6jnjlhuvnryphhi
*flow**diagram**of*vegetable oil refinery received from an industry. ... Pinch technology is applied on various process*flow**diagrams*from process industries using different strategies or techniques. ... Method Two methods were used for the application*of*pinch technology on the process*flow**diagram**of*vegetable oil refinery. ...##
###
Real-space renormalization group approach to driven diffusive systems

2006
*
Journal of Physics A: Mathematical and General
*

We apply the method to the boundary driven asymmetric simple exclusion process and recover exact results for the steady state phase

doi:10.1088/0305-4470/39/47/001
fatcat:bzzhxv64rzh4xmtd7uy2sknydi
*diagram*, as well as the crossovers in the relaxation dynamics for each ... In the steady state transformation, exact results for the critical point are recovered as well as a*flow**diagram*that shares the qualitative structure*of*the exact phase*diagram*. ... Also, across the line α/p + β/p = 1, the gradient*of*the density profile near the boundary changes sign. This is the line BAC in the*flow**diagram*. ...##
###
Proposal Of Design Method In The Semi-Acausal System Model

2015
*
Zenodo
*

Across all the physic fields, those methods are defined with the

doi:10.5281/zenodo.1099269
fatcat:nh74rlgiobb4fd7a6lf3pvg3r4
*formulation**of*differential*algebraic*equation which only applied time derivation and simulation. ... At the same time, we propose semi-acausal modeling concept and differential*algebraic*equation method as a newly modeling method which the efficiency has been verified through the comparison*of*numerical ... Semi-acausal modeling format is an imitation*of*acausal modeling format, which essential conditions are: (1) Object orientation modeling use data*flow*block*diagram*. (2) Modeling subject is*algebraic*derivative ...##
###
Page 4897 of Mathematical Reviews Vol. , Issue 82k
[page]

1982
*
Mathematical Reviews
*

Finally, Hitchcock and Park’s theorem on derivatives is

*formulated*in the general case*of*nondeterministic recursive*flow**diagram*programs.” ... A short new proof*of*an important completeness result is given in the generalized setting*of*systems*of*recursive*flow**diagram*programs. ...##
###
Page 4479 of Mathematical Reviews Vol. , Issue 2002F
[page]

2002
*
Mathematical Reviews
*

in the pro- cess, discovered a Hopf

*algebra**formulation**of*renormalization in quantum field theory. ... This is a fascinating story*of*the search for a conjecture. The process*of*this search led Kreimer to explore other rela- tionships among topology,*algebra*and the Feynman*diagrams*. ...##
###
On choosing state variables for piecewise-smooth dynamical system simulations

2018
*
Nonlinear dynamics
*

*diagrams*. ... In particular, one version

*of*the Bouc-Wen-Baber-Noori (BWBN) class

*of*models is implemented as a demonstration. ... Pei would like to acknowledge the hospitality

*of*California Institute

*of*Technology during her sabbatical leave for the completion

*of*this study. Dr. ...

##
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Initial Algebra Semantics and Continuous Algebras

1977
*
Journal of the ACM
*

We consider solutions

doi:10.1145/321992.321997
fatcat:7fig72pgizfibkrw7funen6p4q
*of*equations in continuous*algebras*and show, for example, how Scott's lattice*of**flow**diagrams*[61] is a specml case ~ an inttial continuous*algebra*. ... AND PHRASES*algebraic*semantics,*algebras*, free*algebras*, continuous*algebras*, posets, programmmg language semantics,*flow**diagrams*, syntax directed translation, solutions*of*equations CR CATEGORIES 5 ... Burstall aa This has actually happened to the authors*of*th~s paper, who have, subsequent to the work reported here, proposed an mmal*algebra*approach to abstract data types [24] Initial*Algebra*Semantics ...##
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Discussion: "A General Flow Graph Technique for the Solution of Multiloop Sampled Systems" (Ash, R., Kim, W. H., and Kranc, G. M., 1960, ASME J. Basic Eng., 82, pp. 360–366)

1960
*
Journal of Basic Engineering
*

Coates, “

doi:10.1115/1.3662601
fatcat:3sgvybnwxvc5bkcrtpbehxog24
*Flow*Graph Solutions*of*Linear*Algebraic*Equations,”” JRE PGCT, June, 1959. ... representation*diagram*representation*of*the system into its 1) Eliminate all redundant samplers in the original block*diagram*. ...##
###
Page 367 of Journal of Basic Engineering Vol. 82, Issue 2
[page]

1960
*
Journal of Basic Engineering
*

Coates, “

*Flow*Graph Solutions*of*Linear*Algebraic*Equations,”” JRE PGCT, June, 1959. ... representation*diagram*representation*of*the system into its 1) Eliminate all redundant samplers in the original block*diagram*. ...##
###
Frederic Paugam: "Towards the Mathematics of Quantum Field Theory"

2015
*
Jahresbericht der Deutschen Mathematiker-Vereinigung (Teubner)
*

This was mainly due to the fact that physically relevant interacting quantum fields were found difficult to be included in the strict

doi:10.1365/s13291-015-0120-3
fatcat:rnvbeuozsncrrc4jiostuo76ea
*algebraic**formulation*, while at the same time the computational approach ... On the other hand, an elegant axiomatic approach to quantum fields emerged through the work*of*Haag, Kastler, Wightman and others, leading to the subject known as*algebraic*quantum field theory. ... This is partly based on the work that is done in the analysis*of*the mathematical structure*of*Feynman amplitudes and, at the same time, on the*formulation**of*perturbative*algebraic*quantum field theory ...##
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Expressing Special Structures in an Algebraic Modeling Language for Mathematical Programming

1995
*
Orsa Journal On Computing
*

A knowledge

doi:10.1287/ijoc.7.2.166
fatcat:ueb4xbt6v5fepl5kv56gheuc3a
*of*the presence*of*certain special structures can be advantageous in both the*formulation*and solution*of*linear programming problems. ... most often associated with*algebraic*languages. ... {(i,j) in A}*Flow*[i,j] -sum {(j,i) in A}*Flow*[j,i] = b[i]; ### NODE-ARC*FORMULATION*### ###*ALGEBRAIC**FORMULATION*### set N; set N; set A within N cross N; set A within N cross N; param b {N}; ...
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