Concepedia

Duality Theorem

The "Duality Theorem" is a network theorem that establishes a formal correspondence between two seemingly distinct electrical circuits by interchanging voltage and current, resistance and conductance, and series and parallel connections, thereby revealing structurally analogous solutions in dual domains.

694

Publications

38.9K

Citations

1K

Authors

535

Institutions

Publications per year

2017–2026

65

Parents

Publications

694

Decomposition Principle for Linear Programs

George B. Dantzig, Philip Wolfe · Operations Research · 1960 · 2.3K citations

, , +17

An Application of the Shephard Duality Theorem: A Generalized Leontief Production Function

Walter Diewert · Journal of Political Economy · 1971 · 1.1K citations

, , +17

A symbolic analysis of relay and switching circuits

Claude E. Shannon · Transactions of the American Institute of Electrical Engineers · 1938 · 1K citations · Full text

, , +15

On the duality condition for a Hermitian scalar field

J.J. Bisognano, Eyvind H. Wichmann · Journal of Mathematical Physics · 1975 · 649 citations · Full text

, , +15

On the duality condition for quantum fields

J.J. Bisognano, Eyvind H. Wichmann · Journal of Mathematical Physics · 1976 · 646 citations · Full text

, , +12

1–5 of 694

Authors

1K

  1. BD
    B. D. Craven

    The University of Melbourne, Australia

    9 publications · 269 citations

    9

    h-index

  2. BM
    B. Mond

    La Trobe University, Australia

    6 publications · 120 citations

    6

    h-index

  3. MS
    Murray Schechter

    Lehigh University, United States

    5 publications · 166 citations

    5

    h-index

  4. IS
    Ivan Singer

    Romanian Academy, Romania

    5 publications · 135 citations

    5

    h-index

  5. OC
    Ole Christensen

    Technical University of Denmark, Denmark

    4 publications · 70 citations

    4

    h-index

1–5 of 1K

Institutions

535

  1. Centre National de la Recherche Scientifique

    Paris, France

    11 h-index

    13 publications

    446 citations

  2. The University of Melbourne

    Melbourne, Australia

    11 h-index

    13 publications

    365 citations

  3. University of California, Berkeley

    Berkeley, United States

    10 h-index

    14 publications

    3.5K citations

  4. Massachusetts Institute of Technology

    Cambridge, United States

    8 h-index

    11 publications

    2.7K citations

  5. La Trobe University

    Melbourne, Australia

    8 h-index

    8 publications

    144 citations

  6. Princeton University

    Princeton, United States

    8 h-index

    9 publications

    351 citations

  7. University of Wisconsin–Madison

    Madison, United States

    8 h-index

    8 publications

    871 citations

  8. Technion – Israel Institute of Technology

    Haifa, Israel

    7 h-index

    11 publications

    292 citations

1–8 of 535

Venues

  1. Pacific Journal of Mathematics

    18 publications · 1.4K citations

    15

    h-index

  2. 15

    h-index

  3. Journal of Optimization Theory and Applications

    15 publications · 388 citations

    13

    h-index

  4. SIAM Journal on Control and Optimization

    11 publications · 778 citations

    11

    h-index

  5. arXiv (Cornell University)

    Repository · 16 publications · 364 citations

    11

    h-index

1–5