Concepedia

Induction On Integers

Induction On Integers is a proof method in mathematical logic that belongs to the class of induction principles and is distinguished by its application to propositions indexed over the integers, proceeding from a base case and establishing the truth of a statement for all integers by verifying its invariance under incremental steps.

7

Publications

265

Citations

8

Authors

8

Institutions

Publications per year

2017–2026

0

Parents

Publications

7

Enumerative Induction and Best Explanation

Robert H. Ennis · The Journal of Philosophy · 1968 · 85 citations

, , +6

An induction principle for the generalization of Bombieri's prime number theorem

Yoichi Motohashi · Proceedings of the Japan Academy Series A Mathematical Sciences · 1976 · 62 citations · Full text

, , +9

Integers, polynomials, and rings: a course in algebra

Choice Reviews Online · 2005 · 62 citations

, , +15

Beck's Three Permutations Conjecture: A Counterexample and Some Consequences

Alantha Newman, Ofer Neiman, Aleksandar Nikolov · 2012 · 25 citations

, , +14

The representation theory of cyclotomic BMW algebras

He Rui · ArXiv.org · 2008 · 11 citations · Full text

, , +8

1–5 of 7

Authors

8

  1. RH
    Robert H. Ennis

    University of Illinois Urbana-Champaign, United States

    1 publications · 85 citations

    1

    h-index

  2. AN
    Aleksandar Nikolov

    Rutgers, The State University of New Jersey, United States

    1 publications · 25 citations

    1

    h-index

  3. HR
    He Rui

    Shanghai Children's Medical Center, China

    1 publications · 11 citations

    1

    h-index

  4. AN
    Alantha Newman

    Princeton University, United States

    1 publications · 25 citations

    1

    h-index

  5. NJ
    N Julien

    Hôpital Beaujon, France

    1 publications · 10 citations

    1

    h-index

1–5 of 8

Institutions

8

  1. Center for Discrete Mathematics and Theoretical Computer Science

    Piscataway, United States

    1 h-index

    1 publications

    25 citations

  2. Australian National University

    Canberra, Australia

    1 h-index

    1 publications

    10 citations

  3. Nihon University

    Tokyo, Japan

    1 h-index

    1 publications

    62 citations

  4. Carleton University

    Ottawa, Canada

    1 h-index

    1 publications

    10 citations

  5. Institut national de recherche en sciences et technologies du numérique

    Le Chesnay-Rocquencourt, France

    1 h-index

    1 publications

    10 citations

  6. Rutgers Sexual and Reproductive Health and Rights

    Utrecht, Netherlands

    1 h-index

    1 publications

    25 citations

  7. Rutgers, The State University of New Jersey

    New Brunswick, United States

    1 h-index

    2 publications

    50 citations

  8. Ben-Gurion University of the Negev

    Beersheba, Israel

    1 h-index

    1 publications

    25 citations

1–8 of 8

Venues

  1. ArXiv.org

    Repository · 1 publications · 11 citations

    1

    h-index

  2. The Journal of Philosophy

    1 publications · 85 citations

    1

    h-index

  3. Canadian Journal of Mathematics

    1 publications · 10 citations

    1

    h-index

  4. Choice Reviews Online

    CRO · 1 publications · 62 citations

    1

    h-index

  5. 1

    h-index

1–5