Concepedia

Addition Relations

Addition Relations is a theoretical construct in number decomposition that specifies the systematic relationships between a number and its constituent addends, distinguishing itself by formalizing how additive part-whole hierarchies are structured and interpreted within arithmetic cognition.

33

Publications

1.8K

Citations

64

Authors

46

Institutions

Publications per year

2017–2026

4

Parents

Publications

33

On aggregation operations of linguistic labels

Miguel Delgado, José Luís Verdegay, M.A. Vila · International Journal of Intelligent Systems · 1993 · 485 citations

, , +10

Sequences of numbers generated by addition in formal groups and new primality and factorization tests

D. V. Chudnovsky, G. V. Chudnovsky · Advances in Applied Mathematics · 1986 · 315 citations

, , +11

Relations between Hermite and Laguerre Gaussian modes

I. Kimel, Luis R. Elias · IEEE Journal of Quantum Electronics · 1993 · 166 citations · Full text

, , +8

AN ALGEBRA OF ADDITIVE RELATIONS

Saunders Mac Lane · Proceedings of the National Academy of Sciences · 1961 · 89 citations · Full text

, , +4

Finite addition theorems, I

Andràs Sárközy · Journal of Number Theory · 1989 · 66 citations

, , +10

1–5 of 33

Authors

64

  1. DC
    Deborah Carey

    University of Maryland, College Park, United States

    2 publications · 55 citations

    2

    h-index

  2. GA
    Gregory A. Freiman

    Tel Aviv University, Israel

    2 publications · 41 citations

    2

    h-index

  3. ER
    Emily R. Fyfe

    Vanderbilt University, United States

    1 publications · 28 citations

    1

    h-index

  4. SF
    Samuel F. Pedigo

    University of Washington, United States

    1 publications · 63 citations

    1

    h-index

  5. JK
    Julie K. Deets

    William & Mary, United States

    1 publications · 55 citations

    1

    h-index

1–5 of 64

Institutions

46

  1. Tel Aviv University

    Tel Aviv, Israel

    2 h-index

    2 publications

    21 citations

  2. Massachusetts Institute of Technology

    Cambridge, United States

    1 h-index

    2 publications

    48 citations

  3. Czech Academy of Sciences, Institute of Computer Science

    Prague, Czechia

    1 h-index

    1 publications

    20 citations

  4. University of Central Florida

    Orlando, United States

    1 h-index

    2 publications

    332 citations

  5. Ebara (Japan)

    Tokyo, Japan

    1 h-index

    2 publications

    56 citations

  6. Charles University

    Prague, Czechia

    1 h-index

    1 publications

    23 citations

  7. Universidad de Granada

    Granada, Spain

    1 h-index

    3 publications

    1.5K citations

  8. University of Notre Dame

    Notre Dame, United States

    1 h-index

    7 publications

    196 citations

1–8 of 46

Venues

  1. Journal of Number Theory

    4 publications · 118 citations

    4

    h-index

  2. Journal for Research in Mathematics Education

    JRME · 2 publications · 55 citations

    2

    h-index

  3. Astérisque

    2 publications · 97 citations

    2

    h-index

  4. Fundamenta Informaticae

    2 publications · 43 citations

    2

    h-index

  5. IEEE Transactions on Information Theory

    1 publications · 14 citations

    1

    h-index

1–5