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Algebraic formulation of flow diagrams

Edward A. Voorhees
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.  ... 
doi:10.1145/368861.368869 fatcat:icjesi6j4bbubo2wpp7x2hxxnm

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.  ... 

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]

Nadir Farhi, Habib Haj-Salem, Jean-Patrick Lebacque
2014 arXiv   pre-print
This choice permits to represent any traffic system with a number 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) .  ... 
arXiv:1406.6929v1 fatcat:yip5iyqzmbh6zlvpduuuxxavmy

Minimizing Hot and Cold Utility Requirements for Vegetable Oil Refinery Plant Using Pinch Analysis *
english

Bello Zubairu,, Bitrus K. Highina ,, Babagana Gutti
2015 International Journal of Scientific Engineering and Technology  
In this present research work, the process 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.  ... 
doi:10.17950/ijset/v4s5/506 fatcat:zr52we575nd6jnjlhuvnryphhi

Real-space renormalization group approach to driven diffusive systems

T Hanney, R B Stinchcombe
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 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.  ... 
doi:10.1088/0305-4470/39/47/001 fatcat:bzzhxv64rzh4xmtd7uy2sknydi

Proposal Of Design Method In The Semi-Acausal System Model

Junji Kaneko, Shigeyuki Haruyama, Ken Kaminishi, Tadayuki Kyoutani, Siti Ruhana Omar, Oke Oktavianty
2015 Zenodo  
Across all the physic fields, those methods are defined with the 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  ... 
doi:10.5281/zenodo.1099269 fatcat:nh74rlgiobb4fd7a6lf3pvg3r4

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

Jin-Song Pei, Joseph P. Wright, François Gay-Balmaz, James L. Beck, Michael D. Todd
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.  ... 
doi:10.1007/s11071-018-4622-2 fatcat:vbcpx6334negvdbf7zffvdpsqu

Initial Algebra Semantics and Continuous Algebras

J. A. Goguen, J. W. Thatcher, E. G. Wagner, J. B. Wright
1977 Journal of the ACM  
We consider solutions 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  ... 
doi:10.1145/321992.321997 fatcat:7fig72pgizfibkrw7funen6p4q

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)

George G. Lendaris
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.  ... 
doi:10.1115/1.3662601 fatcat:3sgvybnwxvc5bkcrtpbehxog24

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"

Walter D. van Suijlekom
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 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  ... 
doi:10.1365/s13291-015-0120-3 fatcat:rnvbeuozsncrrc4jiostuo76ea

Expressing Special Structures in an Algebraic Modeling Language for Mathematical Programming

Robert Fourer, David M. Gay
1995 Orsa Journal On Computing  
A knowledge 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};  ... 
doi:10.1287/ijoc.7.2.166 fatcat:ueb4xbt6v5fepl5kv56gheuc3a
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